diff --git a/examples/fluid/dam_break_2d.jl b/examples/fluid/dam_break_2d.jl
index c52126181..40176927c 100644
--- a/examples/fluid/dam_break_2d.jl
+++ b/examples/fluid/dam_break_2d.jl
@@ -8,12 +8,16 @@
 using TrixiParticles
 using OrdinaryDiffEq
 
+# Size parameters
+H = 0.6
+W = 2 * H
+
 # ==========================================================================================
 # ==== Resolution
-fluid_particle_spacing = 0.02
+fluid_particle_spacing = H / 40
 
 # Change spacing ratio to 3 and boundary layers to 1 when using Monaghan-Kajtar boundary model
-boundary_layers = 3
+boundary_layers = 4
 spacing_ratio = 1
 
 boundary_particle_spacing = fluid_particle_spacing / spacing_ratio
@@ -21,16 +25,17 @@ boundary_particle_spacing = fluid_particle_spacing / spacing_ratio
 # ==========================================================================================
 # ==== Experiment Setup
 gravity = 9.81
+
 tspan = (0.0, 5.7 / sqrt(gravity))
 
 # Boundary geometry and initial fluid particle positions
-initial_fluid_size = (2.0, 1.0)
-tank_size = (floor(5.366 / boundary_particle_spacing) * boundary_particle_spacing, 4.0)
+initial_fluid_size = (W, H)
+tank_size = (floor(5.366 * H / boundary_particle_spacing) * boundary_particle_spacing, 4.0)
 
 fluid_density = 1000.0
-sound_speed = 20 * sqrt(gravity * initial_fluid_size[2])
+sound_speed = 20 * sqrt(gravity * H)
 state_equation = StateEquationCole(; sound_speed, reference_density=fluid_density,
-                                   exponent=7, clip_negative_pressure=false)
+                                   exponent=1, clip_negative_pressure=false)
 
 tank = RectangularTank(fluid_particle_spacing, initial_fluid_size, tank_size, fluid_density,
                        n_layers=boundary_layers, spacing_ratio=spacing_ratio,
@@ -38,19 +43,22 @@ tank = RectangularTank(fluid_particle_spacing, initial_fluid_size, tank_size, fl
 
 # ==========================================================================================
 # ==== Fluid
-smoothing_length = 3.0 * fluid_particle_spacing
+smoothing_length = 3.5 * fluid_particle_spacing
 smoothing_kernel = WendlandC2Kernel{2}()
 
 fluid_density_calculator = ContinuityDensity()
 viscosity = ArtificialViscosityMonaghan(alpha=0.02, beta=0.0)
-density_diffusion = DensityDiffusionMolteniColagrossi(delta=0.1)
-# density_diffusion = DensityDiffusionAntuono(tank.fluid, delta=0.1)
+# Alternatively the density diffusion model by Molteni & Colagrossi can be used,
+# which will run faster.
+# density_diffusion = DensityDiffusionMolteniColagrossi(delta=0.1)
+density_diffusion = DensityDiffusionAntuono(tank.fluid, delta=0.1)
 
 fluid_system = WeaklyCompressibleSPHSystem(tank.fluid, fluid_density_calculator,
                                            state_equation, smoothing_kernel,
                                            smoothing_length, viscosity=viscosity,
                                            density_diffusion=density_diffusion,
-                                           acceleration=(0.0, -gravity), correction=nothing)
+                                           acceleration=(0.0, -gravity),
+                                           correction=nothing)
 
 # ==========================================================================================
 # ==== Boundary
@@ -65,18 +73,32 @@ boundary_system = BoundarySPHSystem(tank.boundary, boundary_model)
 
 # ==========================================================================================
 # ==== Simulation
-semi = Semidiscretization(fluid_system, boundary_system)
+semi = Semidiscretization(fluid_system, boundary_system, threaded_nhs_update=true)
 ode = semidiscretize(semi, tspan)
 
 info_callback = InfoCallback(interval=100)
-saving_callback = SolutionSavingCallback(dt=0.02, prefix="")
+
+solution_prefix = ""
+saving_callback = SolutionSavingCallback(dt=0.02, prefix=solution_prefix)
+
+# Save at certain timepoints which allows comparison to the results of Marrone et al.,
+# i.e. (1.5, 2.36, 3.0, 5.7, 6.45).
+# Please note that the images in Marrone et al. are obtained at a particle_spacing = H/320,
+# which takes between 2 and 4 hours.
+saving_paper = SolutionSavingCallback(save_times=[0.0, 0.371, 0.584, 0.743, 1.411, 1.597],
+                                      prefix="marrone_times")
+
+# This can be overwritten with `trixi_include`
+extra_callback = nothing
 
 use_reinit = false
-density_reinit_cb = use_reinit ? DensityReinitializationCallback(semi.systems[1], dt=0.01) :
+density_reinit_cb = use_reinit ?
+                    DensityReinitializationCallback(semi.systems[1], interval=10) :
                     nothing
-stepsize_callback = StepsizeCallback(cfl=1.1)
+stepsize_callback = StepsizeCallback(cfl=0.9)
 
-callbacks = CallbackSet(info_callback, saving_callback, stepsize_callback)
+callbacks = CallbackSet(info_callback, saving_callback, stepsize_callback, extra_callback,
+                        density_reinit_cb, saving_paper)
 
 sol = solve(ode, CarpenterKennedy2N54(williamson_condition=false),
             dt=1.0, # This is overwritten by the stepsize callback
diff --git a/src/TrixiParticles.jl b/src/TrixiParticles.jl
index e576cc37b..d623cb9f7 100644
--- a/src/TrixiParticles.jl
+++ b/src/TrixiParticles.jl
@@ -5,7 +5,7 @@ using Reexport: @reexport
 using CSV: CSV
 using Dates
 using DataFrames: DataFrame
-using DiffEqCallbacks: PeriodicCallback, PeriodicCallbackAffect
+using DiffEqCallbacks: PeriodicCallback, PeriodicCallbackAffect, PresetTimeCallback
 using FastPow: @fastpow
 using ForwardDiff: ForwardDiff
 using JSON: JSON
diff --git a/src/callbacks/solution_saving.jl b/src/callbacks/solution_saving.jl
index 2ece43a1a..119f80e80 100644
--- a/src/callbacks/solution_saving.jl
+++ b/src/callbacks/solution_saving.jl
@@ -1,8 +1,9 @@
 @doc raw"""
-    SolutionSavingCallback(; interval::Integer=0, dt=0.0,
+    SolutionSavingCallback(; interval::Integer=0, dt=0.0, save_times=Array{Float64, 1}([]),
                            save_initial_solution=true, save_final_solution=true,
-                           output_directory="out", append_timestamp=false,
-                           max_coordinates=2^15, custom_quantities...)
+                           output_directory="out", append_timestamp=false, max_coordinates=2^15,
+                           custom_quantities...)
+
 
 Callback to save the current numerical solution in VTK format in regular intervals.
 Either pass `interval` to save every `interval` time steps,
@@ -19,6 +20,7 @@ To ignore a custom quantity for a specific system, return `nothing`.
 - `dt`:                         Save the solution in regular intervals of `dt` in terms
                                 of integration time by adding additional `tstops`
                                 (note that this may change the solution).
+- `save_times=[]`               List of times at which to save a solution.
 - `save_initial_solution=true`: Save the initial solution.
 - `save_final_solution=true`:   Save the final solution.
 - `output_directory="out"`:     Directory to save the VTK files.
@@ -64,6 +66,7 @@ saving_callback = SolutionSavingCallback(dt=0.1, my_custom_quantity=kinetic_ener
 """
 mutable struct SolutionSavingCallback{I, CQ}
     interval              :: I
+    save_times            :: Array{Float64, 1}
     save_initial_solution :: Bool
     save_final_solution   :: Bool
     write_meta_data       :: Bool
@@ -76,13 +79,14 @@ mutable struct SolutionSavingCallback{I, CQ}
 end
 
 function SolutionSavingCallback(; interval::Integer=0, dt=0.0,
-                                save_initial_solution=true,
-                                save_final_solution=true,
+                                save_times=Array{Float64, 1}([]),
+                                save_initial_solution=true, save_final_solution=true,
                                 output_directory="out", append_timestamp=false,
                                 prefix="", verbose=false, write_meta_data=true,
                                 max_coordinates=Float64(2^15), custom_quantities...)
-    if dt > 0 && interval > 0
-        throw(ArgumentError("Setting both interval and dt is not supported!"))
+    if (dt > 0 && interval > 0) || (length(save_times) > 0 && (dt > 0 || interval > 0))
+        throw(ArgumentError("Setting multiple save times for the same solution " *
+                            "callback is not possible. Use either `dt`, `interval` or `save_times`."))
     end
 
     if dt > 0
@@ -93,13 +97,15 @@ function SolutionSavingCallback(; interval::Integer=0, dt=0.0,
         output_directory *= string("_", Dates.format(now(), "YY-mm-ddTHHMMSS"))
     end
 
-    solution_callback = SolutionSavingCallback(interval,
+    solution_callback = SolutionSavingCallback(interval, save_times,
                                                save_initial_solution, save_final_solution,
                                                write_meta_data, verbose, output_directory,
                                                prefix, max_coordinates, custom_quantities,
                                                -1)
 
-    if dt > 0
+    if length(save_times) > 0
+        return PresetTimeCallback(save_times, solution_callback)
+    elseif dt > 0
         # Add a `tstop` every `dt`, and save the final solution.
         return PeriodicCallback(solution_callback, dt,
                                 initialize=initialize_save_cb!,
diff --git a/src/general/interpolation.jl b/src/general/interpolation.jl
index a29b06c7c..51b13c681 100644
--- a/src/general/interpolation.jl
+++ b/src/general/interpolation.jl
@@ -2,7 +2,8 @@ using LinearAlgebra
 
 @doc raw"""
     interpolate_plane_2d(min_corner, max_corner, resolution, semi, ref_system, sol;
-                         smoothing_length=ref_system.smoothing_length, cut_off_bnd=true)
+                         smoothing_length=ref_system.smoothing_length, cut_off_bnd=true,
+                         clip_negative_pressure=false)
 
 Interpolates properties along a plane in a TrixiParticles simulation.
 The region for interpolation is defined by its lower left and top right corners,
@@ -29,6 +30,9 @@ See also: [`interpolate_plane_2d_vtk`](@ref), [`interpolate_plane_3d`](@ref),
                       Or, in more detail, when the boundary has more influence than the fluid
                       on the density summation in this point, i.e., when the boundary particles
                       add more kernel-weighted mass than the fluid particles.
+- `clip_negative_pressure=false`: One common approach in SPH models is to clip negative pressure
+                                  values, but this is unphysical. Instead we clip here during
+                                  interpolation thus only impacting the local interpolated value.
 
 # Returns
 - A `NamedTuple` of arrays containing interpolated properties at each point within the plane.
@@ -49,12 +53,13 @@ results = interpolate_plane_2d([0.0, 0.0], [1.0, 1.0], 0.2, semi, ref_system, so
 """
 function interpolate_plane_2d(min_corner, max_corner, resolution, semi, ref_system, sol;
                               smoothing_length=ref_system.smoothing_length,
-                              cut_off_bnd=true)
+                              cut_off_bnd=true, clip_negative_pressure=false)
     # Filter out particles without neighbors
     filter_no_neighbors = true
     results, _, _ = interpolate_plane_2d(min_corner, max_corner, resolution,
                                          semi, ref_system, sol, filter_no_neighbors,
-                                         smoothing_length, cut_off_bnd)
+                                         smoothing_length, cut_off_bnd,
+                                         clip_negative_pressure)
 
     return results
 end
@@ -62,7 +67,7 @@ end
 @doc raw"""
     interpolate_plane_2d_vtk(min_corner, max_corner, resolution, semi, ref_system, sol;
                              smoothing_length=ref_system.smoothing_length, cut_off_bnd=true,
-                             output_directory="out", filename="plane")
+                             clip_negative_pressure=false, output_directory="out", filename="plane")
 
 Interpolates properties along a plane in a TrixiParticles simulation and exports the result
 as a VTI file.
@@ -92,6 +97,9 @@ See also: [`interpolate_plane_2d`](@ref), [`interpolate_plane_3d`](@ref),
                       Or, in more detail, when the boundary has more influence than the fluid
                       on the density summation in this point, i.e., when the boundary particles
                       add more kernel-weighted mass than the fluid particles.
+- `clip_negative_pressure=false`: One common approach in SPH models is to clip negative pressure
+                                  values, but this is unphysical. Instead we clip here during
+                                  interpolation thus only impacting the local interpolated value.
 
 !!! note
     - The interpolation accuracy is subject to the density of particles and the chosen smoothing length.
@@ -106,14 +114,15 @@ results = interpolate_plane_2d([0.0, 0.0], [1.0, 1.0], 0.2, semi, ref_system, so
 """
 function interpolate_plane_2d_vtk(min_corner, max_corner, resolution, semi, ref_system, sol;
                                   smoothing_length=ref_system.smoothing_length,
-                                  cut_off_bnd=true,
+                                  cut_off_bnd=true, clip_negative_pressure=false,
                                   output_directory="out", filename="plane")
     # Don't filter out particles without neighbors to keep 2D grid structure
     filter_no_neighbors = false
     results, x_range, y_range = interpolate_plane_2d(min_corner, max_corner, resolution,
                                                      semi, ref_system, sol,
                                                      filter_no_neighbors,
-                                                     smoothing_length, cut_off_bnd)
+                                                     smoothing_length, cut_off_bnd,
+                                                     clip_negative_pressure)
 
     density = reshape(results.density, length(x_range), length(y_range))
     velocity = reshape(results.velocity, length(x_range), length(y_range))
@@ -127,7 +136,8 @@ function interpolate_plane_2d_vtk(min_corner, max_corner, resolution, semi, ref_
 end
 
 function interpolate_plane_2d(min_corner, max_corner, resolution, semi, ref_system, sol,
-                              filter_no_neighbors, smoothing_length, cut_off_bnd)
+                              filter_no_neighbors, smoothing_length, cut_off_bnd,
+                              clip_negative_pressure)
     dims = length(min_corner)
     if dims != 2 || length(max_corner) != 2
         throw(ArgumentError("function is intended for 2D coordinates only"))
@@ -149,7 +159,8 @@ function interpolate_plane_2d(min_corner, max_corner, resolution, semi, ref_syst
 
     results = interpolate_point(points_coords, semi, ref_system, sol,
                                 smoothing_length=smoothing_length,
-                                cut_off_bnd=cut_off_bnd)
+                                cut_off_bnd=cut_off_bnd,
+                                clip_negative_pressure=clip_negative_pressure)
 
     if filter_no_neighbors
         # Find indices where neighbor_count > 0
@@ -164,7 +175,8 @@ end
 
 @doc raw"""
     interpolate_plane_3d(point1, point2, point3, resolution, semi, ref_system, sol;
-                         smoothing_length=ref_system.smoothing_length, cut_off_bnd=true)
+                         smoothing_length=ref_system.smoothing_length, cut_off_bnd=true,
+                         clip_negative_pressure=false)
 
 Interpolates properties along a plane in a 3D space in a TrixiParticles simulation.
 The plane for interpolation is defined by three points in 3D space,
@@ -192,6 +204,9 @@ See also: [`interpolate_plane_2d`](@ref), [`interpolate_plane_2d_vtk`](@ref),
                       Or, in more detail, when the boundary has more influence than the fluid
                       on the density summation in this point, i.e., when the boundary particles
                       add more kernel-weighted mass than the fluid particles.
+- `clip_negative_pressure=false`: One common approach in SPH models is to clip negative pressure
+                                  values, but this is unphysical. Instead we clip here during
+                                  interpolation thus only impacting the local interpolated value.
 
 # Returns
 - A `NamedTuple` of arrays containing interpolated properties at each point within the plane.
@@ -213,7 +228,7 @@ results = interpolate_plane_3d([0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [0.0, 1.0, 0.0]
 """
 function interpolate_plane_3d(point1, point2, point3, resolution, semi, ref_system, sol;
                               smoothing_length=ref_system.smoothing_length,
-                              cut_off_bnd=true)
+                              cut_off_bnd=true, clip_negative_pressure=false)
     # Verify that points are in 3D space
     if length(point1) != 3 || length(point2) != 3 || length(point3) != 3
         throw(ArgumentError("all points must be 3D coordinates"))
@@ -257,7 +272,8 @@ function interpolate_plane_3d(point1, point2, point3, resolution, semi, ref_syst
     # Interpolate using the generated points
     results = interpolate_point(points_coords, semi, ref_system, sol,
                                 smoothing_length=smoothing_length,
-                                cut_off_bnd=cut_off_bnd)
+                                cut_off_bnd=cut_off_bnd,
+                                clip_negative_pressure=clip_negative_pressure)
 
     # Filter results
     indices = findall(x -> x > 0, results.neighbor_count)
@@ -268,7 +284,8 @@ end
 
 @doc raw"""
     interpolate_line(start, end_, n_points, semi, ref_system, sol; endpoint=true,
-                     smoothing_length=ref_system.smoothing_length, cut_off_bnd=true)
+                     smoothing_length=ref_system.smoothing_length, cut_off_bnd=true,
+                     clip_negative_pressure=false)
 
 Interpolates properties along a line in a TrixiParticles simulation.
 The line interpolation is accomplished by generating a series of
@@ -295,6 +312,9 @@ See also: [`interpolate_point`](@ref), [`interpolate_plane_2d`](@ref),
                       Or, in more detail, when the boundary has more influence than the fluid
                       on the density summation in this point, i.e., when the boundary particles
                       add more kernel-weighted mass than the fluid particles.
+- `clip_negative_pressure=false`: One common approach in SPH models is to clip negative pressure
+                                  values, but this is unphysical. Instead we clip here during
+                                  interpolation thus only impacting the local interpolated value.
 
 # Returns
 - A `NamedTuple` of arrays containing interpolated properties at each point along the line.
@@ -317,7 +337,7 @@ results = interpolate_line([1.0, 0.0], [1.0, 1.0], 5, semi, ref_system, sol)
 """
 function interpolate_line(start, end_, n_points, semi, ref_system, sol; endpoint=true,
                           smoothing_length=ref_system.smoothing_length,
-                          cut_off_bnd=true)
+                          cut_off_bnd=true, clip_negative_pressure=false)
     start_svector = SVector{ndims(ref_system)}(start)
     end_svector = SVector{ndims(ref_system)}(end_)
     points_coords = range(start_svector, end_svector, length=n_points)
@@ -328,15 +348,18 @@ function interpolate_line(start, end_, n_points, semi, ref_system, sol; endpoint
 
     return interpolate_point(points_coords, semi, ref_system, sol,
                              smoothing_length=smoothing_length,
-                             cut_off_bnd=cut_off_bnd)
+                             cut_off_bnd=cut_off_bnd,
+                             clip_negative_pressure=clip_negative_pressure)
 end
 
 @doc raw"""
     interpolate_point(points_coords::Array{Array{Float64,1},1}, semi, ref_system, sol;
-                      smoothing_length=ref_system.smoothing_length, cut_off_bnd=true)
+                      smoothing_length=ref_system.smoothing_length, cut_off_bnd=true,
+                      clip_negative_pressure=false)
 
     interpolate_point(point_coords, semi, ref_system, sol;
-                      smoothing_length=ref_system.smoothing_length, cut_off_bnd=true)
+                      smoothing_length=ref_system.smoothing_length, cut_off_bnd=true,
+                      clip_negative_pressure=false)
 
 Performs interpolation of properties at specified points or an array of points in a TrixiParticles simulation.
 
@@ -361,6 +384,9 @@ See also: [`interpolate_line`](@ref), [`interpolate_plane_2d`](@ref),
                       Or, in more detail, when the boundary has more influence than the fluid
                       on the density summation in this point, i.e., when the boundary particles
                       add more kernel-weighted mass than the fluid particles.
+- `clip_negative_pressure=false`: One common approach in SPH models is to clip negative pressure
+                                  values, but this is unphysical. Instead we clip here during
+                                  interpolation thus only impacting the local interpolated value.
 
 # Returns
 - For multiple points:  A `NamedTuple` of arrays containing interpolated properties at each point.
@@ -387,7 +413,7 @@ results = interpolate_point(points, semi, ref_system, sol)
 """
 function interpolate_point(points_coords::AbstractArray{<:AbstractArray}, semi, ref_system,
                            sol; smoothing_length=ref_system.smoothing_length,
-                           cut_off_bnd=true)
+                           cut_off_bnd=true, clip_negative_pressure=false)
     num_points = length(points_coords)
     coords = similar(points_coords)
     velocities = similar(points_coords)
@@ -401,7 +427,8 @@ function interpolate_point(points_coords::AbstractArray{<:AbstractArray}, semi,
     for (i, point) in enumerate(points_coords)
         result = interpolate_point(SVector{ndims(ref_system)}(point), semi, ref_system, sol,
                                    neighborhood_searches, smoothing_length=smoothing_length,
-                                   cut_off_bnd=cut_off_bnd)
+                                   cut_off_bnd=cut_off_bnd,
+                                   clip_negative_pressure=clip_negative_pressure)
         densities[i] = result.density
         neighbor_counts[i] = result.neighbor_count
         coords[i] = result.coord
@@ -415,13 +442,14 @@ end
 
 function interpolate_point(point_coords, semi, ref_system, sol;
                            smoothing_length=ref_system.smoothing_length,
-                           cut_off_bnd=true)
+                           cut_off_bnd=true, clip_negative_pressure=false)
     neighborhood_searches = process_neighborhood_searches(semi, sol, ref_system,
                                                           smoothing_length)
 
     return interpolate_point(SVector{ndims(ref_system)}(point_coords), semi, ref_system,
                              sol, neighborhood_searches, smoothing_length=smoothing_length,
-                             cut_off_bnd=cut_off_bnd)
+                             cut_off_bnd=cut_off_bnd,
+                             clip_negative_pressure=clip_negative_pressure)
 end
 
 function process_neighborhood_searches(semi, sol, ref_system, smoothing_length)
@@ -447,7 +475,7 @@ end
 @inline function interpolate_point(point_coords, semi, ref_system, sol,
                                    neighborhood_searches;
                                    smoothing_length=ref_system.smoothing_length,
-                                   cut_off_bnd=true)
+                                   cut_off_bnd=true, clip_negative_pressure=false)
     interpolated_density = 0.0
     interpolated_velocity = zero(SVector{ndims(ref_system)})
     interpolated_pressure = 0.0
@@ -500,6 +528,10 @@ end
                 interpolated_velocity += particle_velocity * (volume * kernel_value)
 
                 pressure = particle_pressure(v, system, particle)
+                if clip_negative_pressure
+                    pressure = max(0.0, pressure)
+                end
+
                 interpolated_pressure += pressure * (volume * kernel_value)
                 shepard_coefficient += volume * kernel_value
             else
diff --git a/src/general/semidiscretization.jl b/src/general/semidiscretization.jl
index 0dfa831d0..ada9275e4 100644
--- a/src/general/semidiscretization.jl
+++ b/src/general/semidiscretization.jl
@@ -139,7 +139,6 @@ function create_neighborhood_search(system, neighbor, ::Val{GridNeighborhoodSear
                                                    periodic_box_min_corner=periodic_box_min_corner,
                                                    periodic_box_max_corner=periodic_box_max_corner,
                                                    threaded_nhs_update=threaded_nhs_update)
-
     # Initialize neighborhood search
     initialize!(search, initial_coordinates(neighbor))
 
diff --git a/src/schemes/fluid/fluid.jl b/src/schemes/fluid/fluid.jl
index 14f16cdf6..e2f08444d 100644
--- a/src/schemes/fluid/fluid.jl
+++ b/src/schemes/fluid/fluid.jl
@@ -54,8 +54,7 @@ function compute_density!(system, u, u_ode, semi, ::SummationDensity)
 end
 
 function calculate_dt(v_ode, u_ode, cfl_number, system::FluidSystem)
-    (; smoothing_length, state_equation, viscosity, acceleration) = system
-    (; sound_speed) = state_equation
+    (; smoothing_length, viscosity, acceleration) = system
 
     dt_viscosity = 0.125 * smoothing_length^2 / kinematic_viscosity(system, viscosity)
 
@@ -70,7 +69,7 @@ function calculate_dt(v_ode, u_ode, cfl_number, system::FluidSystem)
     # Antuono et al. (2015) use h / (c + h * pi_max).
     #
     # See docstring of the callback for the references.
-    dt_sound_speed = cfl_number * smoothing_length / sound_speed
+    dt_sound_speed = cfl_number * smoothing_length / system_sound_speed(system)
 
     return min(dt_viscosity, dt_acceleration, dt_sound_speed)
 end
diff --git a/test/examples/examples.jl b/test/examples/examples.jl
index 63d78cbb0..7d6f6387a 100644
--- a/test/examples/examples.jl
+++ b/test/examples/examples.jl
@@ -87,8 +87,10 @@
         @trixi_testset "fluid/dam_break_2d.jl" begin
             @test_nowarn_mod trixi_include(@__MODULE__,
                                            joinpath(examples_dir(), "fluid",
-                                                    "dam_break_2d.jl"),
-                                           tspan=(0.0, 0.1))
+                                                    "dam_break_2d.jl"), tspan=(0.0, 0.1)) [
+                r"┌ Info: The desired tank length in y-direction .*\n",
+                r"└ New tank length in y-direction.*\n",
+            ]
             @test sol.retcode == ReturnCode.Success
             @test count_rhs_allocations(sol, semi) == 0
         end
diff --git a/test/validation/validation.jl b/test/validation/validation.jl
index 1d4c82f83..2db70eb3e 100644
--- a/test/validation/validation.jl
+++ b/test/validation/validation.jl
@@ -27,8 +27,45 @@
             r"WARNING: Method definition linear_interpolation.*\n",
             r"WARNING: Method definition interpolated_mse.*\n",
             r"WARNING: Method definition extract_number_from_filename.*\n",
+            r"WARNING: Method definition extract_resolution_from_filename.*\n",
+            r"WARNING: importing deprecated binding Makie.*\n",
+            r"WARNING: Makie.* is deprecated.*\n",
         ]
         # Verify number of plots
         @test length(ax1.scene.plots) >= 6
     end
+
+    @trixi_testset "dam_break_2d" begin
+        @test_nowarn_mod trixi_include(@__MODULE__,
+                                       joinpath(validation_dir(), "dam_break_2d",
+                                                "validation_dam_break_2d.jl")) [
+            r"┌ Info: The desired tank length in y-direction.*\n",
+            r"└ New tank length in y-direction is set to.*\n",
+        ]
+        @test sol.retcode == ReturnCode.Success
+        @test count_rhs_allocations(sol, semi) == 0
+        @test isapprox(error_edac_P1, 0, atol=1e-9)
+        @test isapprox(error_edac_P2, 0, atol=1e-11)
+
+        if VERSION >= v"1.10"
+            @test isapprox(error_wcsph_P1, 0, atol=eps())
+            @test isapprox(error_wcsph_P2, 0, atol=eps())
+        else
+            # 1.9 causes a large difference in the solution
+            @test isapprox(error_wcsph_P1, 0, atol=10)
+            @test isapprox(error_wcsph_P2, 0, atol=1e-3)
+        end
+
+        # Ignore method redefinitions from duplicate `include("../validation_util.jl")`
+        @test_nowarn_mod trixi_include(@__MODULE__,
+                                       joinpath(validation_dir(), "dam_break_2d",
+                                                "plot_dam_break_results.jl")) [
+            r"WARNING: Method definition linear_interpolation.*\n",
+            r"WARNING: Method definition interpolated_mse.*\n",
+            r"WARNING: Method definition extract_number_from_filename.*\n",
+            r"WARNING: Method definition extract_resolution_from_filename.*\n",
+        ]
+        # Verify number of plots
+        @test length(axs_edac[1].scene.plots) >= 2
+    end
 end
diff --git a/validation/dam_break_2d/README.md b/validation/dam_break_2d/README.md
new file mode 100644
index 000000000..d712580b1
--- /dev/null
+++ b/validation/dam_break_2d/README.md
@@ -0,0 +1,8 @@
+The following files are provided here:
+
+1) Validation simulation: validation_dam_break_2d.jl
+2) Comparison with TrixiParticles.jl and literature reference: plot_dam_break_results.jl
+3) TrixiParticles.jl reference files: validation_reference_[0015, 00075, 0001875].j (0025 is the default CI resolution. Note that resolution 0015 takes around 2-5 minutes, 00075 around 5-10 minutes, 0001875 around 2-4 hours).
+4) exp_surge_front.csv was manually extracted from Martin and Moyce, "Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane", Phil. Tran. R. Soc. London, 1952, doi: https://doi.org/10.1098/rsta.1952.0006
+5) exp_pressure_sensor_P*.csv was manually extracted from  B. Buchner, "Green Water on Ship-type Offshore Structures", Ph.D. Thesis, Delft University of Technology, 2002.
+6) sim_pressure_sensor_P*.csv was manually extracted from  S. Marrone et al., "δ-SPH model for simulating violent impact flows", Computer Methods in Applied Mechanics and Engineering, 2011, doi: https://doi.org/10.1016/j.cma.2010.12.016
\ No newline at end of file
diff --git a/validation/dam_break_2d/exp_pressure_sensor_P1.csv b/validation/dam_break_2d/exp_pressure_sensor_P1.csv
new file mode 100644
index 000000000..7ecbd6a4c
--- /dev/null
+++ b/validation/dam_break_2d/exp_pressure_sensor_P1.csv
@@ -0,0 +1,99 @@
+time,P1
+2.02512,-0.01792
+2.06281,0.02087
+2.12405,-0.02169
+2.16801,0.01112
+2.24966,-0.02026
+2.27165,0.01033
+2.42553,-0.01511
+2.47263,0.07666
+2.49148,0.15352
+2.55271,0.26544
+2.61552,0.37138
+2.62337,0.46317
+2.65007,0.56241
+2.67205,0.60494
+2.68932,0.66239
+2.77411,0.68698
+2.83535,0.67203
+2.90287,0.66081
+2.96097,0.64586
+3.02221,0.64285
+3.02535,0.60106
+3.13212,0.57862
+3.19336,0.56367
+3.23105,0.54574
+3.36765,0.54121
+3.51996,0.54487
+3.67856,0.54108
+3.90467,0.54396
+4.06012,0.55584
+4.22342,0.55801
+4.35532,0.55497
+4.45267,0.55119
+4.57044,0.54293
+4.71961,0.53765
+4.81696,0.51746
+4.91745,0.51293
+5.03836,0.51438
+5.15926,0.51358
+5.30372,0.5262
+5.34141,0.54335
+5.44504,0.54928
+5.53454,0.56939
+5.58636,0.58802
+5.61463,0.60741
+5.69157,0.6335
+5.74966,0.65586
+5.78107,0.67451
+5.78735,0.69092
+5.80619,0.71554
+5.81404,0.83196
+5.81561,0.7424
+5.82503,0.76479
+5.83288,0.87672
+5.83603,0.85956
+5.869,0.83939
+5.88156,0.7976
+5.90354,0.76475
+5.92082,0.72445
+5.93652,0.67892
+5.96792,0.64756
+6.04172,0.60947
+6.05114,0.57887
+6.10296,0.55721
+6.15007,0.54301
+6.2223,0.55641
+6.28039,0.58101
+6.31494,0.60562
+6.31965,0.61831
+6.36048,0.56232
+6.3699,0.59441
+6.38874,0.54589
+6.41072,0.51901
+6.42328,0.49662
+6.5175,0.48539
+6.56146,0.4682
+6.6227,0.49206
+6.6541,0.50249
+6.70749,0.52187
+6.74204,0.53902
+6.75774,0.47633
+6.77187,0.54797
+6.79385,0.51139
+6.8127,0.47257
+6.88022,0.41732
+6.88807,0.45762
+6.91162,0.43223
+6.93517,0.40461
+7.00112,0.43817
+7.02467,0.44786
+7.06079,0.46799
+7.10947,0.4926
+7.12674,0.50453
+7.14715,0.45228
+7.15814,0.47616
+7.18327,0.43958
+7.23194,0.43732
+7.25707,0.41641
+7.29946,0.41565
\ No newline at end of file
diff --git a/validation/dam_break_2d/exp_pressure_sensor_P2.csv b/validation/dam_break_2d/exp_pressure_sensor_P2.csv
new file mode 100644
index 000000000..3f8fa036f
--- /dev/null
+++ b/validation/dam_break_2d/exp_pressure_sensor_P2.csv
@@ -0,0 +1,48 @@
+time,P2
+3.06662,-0.009371
+3.10965,0.006076
+3.17904,-0.015926
+3.29146,0.002483
+3.3789,-0.018927
+3.49688,-0.000817
+3.60514,-0.010937
+3.79251,0.015187
+3.82998,-0.007999
+4.01041,0.019612
+4.02568,-0.002976
+4.21582,0.019284
+4.28522,0.004712
+4.37405,0.028473
+4.47536,0.024595
+4.64885,0.043589
+4.77932,0.081013
+4.86676,0.103586
+4.9889,0.133583
+5.1263,0.167738
+5.20541,0.182882
+5.24566,0.195357
+5.31922,0.218229
+5.46912,0.22415
+5.59126,0.235722
+5.69674,0.224116
+5.73838,0.174779
+5.74115,0.194392
+5.81055,0.156046
+5.85496,0.141181
+5.88272,0.114431
+5.88966,0.154548
+6.00208,0.091827
+6.0118,0.067755
+6.07425,0.057641
+6.15892,0.033557
+6.26718,0.020466
+6.34351,0.003218
+6.49757,0.012705
+6.57252,0.005561
+6.65441,0.01179
+6.76544,0.005235
+6.90978,0.010563
+6.9542,0.002236
+7.06523,0.00846
+7.30951,0.000994
+7.52047,0.011364
\ No newline at end of file
diff --git a/validation/dam_break_2d/exp_surge_front.csv b/validation/dam_break_2d/exp_surge_front.csv
new file mode 100644
index 000000000..909120c2b
--- /dev/null
+++ b/validation/dam_break_2d/exp_surge_front.csv
@@ -0,0 +1,11 @@
+time,surge_front
+0.43012,1.10782
+0.61418,1.218
+0.79556,1.43732
+0.97016,1.67128
+1.13698,1.89286
+1.29153,2.10882
+1.44156,2.33378
+1.62065,2.56436
+1.75728,2.78708
+1.92861,3.00078
\ No newline at end of file
diff --git a/validation/dam_break_2d/plot_dam_break_results.jl b/validation/dam_break_2d/plot_dam_break_results.jl
new file mode 100644
index 000000000..124d28828
--- /dev/null
+++ b/validation/dam_break_2d/plot_dam_break_results.jl
@@ -0,0 +1,134 @@
+include("../validation_util.jl")
+
+# Activate for interactive plot
+# using GLMakie
+using CairoMakie
+using CSV
+using DataFrames
+using JSON
+using Glob
+using Printf
+using TrixiParticles
+
+# Initial width of the fluid
+H = 0.6
+W = 2 * H
+
+normalization_factor_time = sqrt(9.81 / H)
+normalization_factor_pressure = 1000 * 9.81 * H
+
+case_dir = joinpath(validation_dir(), "dam_break_2d")
+
+edac_reference_files = glob("validation_reference_edac*.json",
+                            case_dir)
+edac_sim_files = glob("validation_result_dam_break_edac*.json",
+                      "out/")
+
+merged_files = vcat(edac_reference_files, edac_sim_files)
+edac_files = sort(merged_files, by=extract_number_from_filename)
+
+wcsph_reference_files = glob("validation_reference_wcsph*.json",
+                             case_dir)
+wcsph_sim_files = glob("validation_result_dam_break_wcsph*.json",
+                       "out/")
+
+merged_files = vcat(wcsph_reference_files, wcsph_sim_files)
+wcsph_files = sort(merged_files, by=extract_number_from_filename)
+
+surge_front = CSV.read(joinpath(case_dir, "exp_surge_front.csv"), DataFrame)
+
+exp_P1 = CSV.read(joinpath(case_dir, "exp_pressure_sensor_P1.csv"), DataFrame)
+exp_P2 = CSV.read(joinpath(case_dir, "exp_pressure_sensor_P2.csv"), DataFrame)
+
+sim_P1 = CSV.read(joinpath(case_dir, "sim_pressure_sensor_P1.csv"), DataFrame)
+sim_P2 = CSV.read(joinpath(case_dir, "sim_pressure_sensor_P2.csv"), DataFrame)
+
+n_sensors = 2
+fig = Figure(size=(1200, 1200))
+axs_edac = [Axis(fig[1, i], title="Sensor P$i with EDAC") for i in 1:n_sensors]
+axs_wcsph = [Axis(fig[3, i], title="Sensor P$i with WCSPH") for i in 1:n_sensors]
+ax_max_x_edac = Axis(fig[5, 1], title="Surge Front with EDAC")
+ax_max_x_wcsph = Axis(fig[5, 2], title="Surge Front with WCSPH")
+
+function plot_results(axs, ax_max, files)
+    for ax in axs
+        ax.xlabel = "Time"
+        ax.ylabel = "Pressure"
+        xlims!(ax, 0.0, 8.0)
+        ylims!(ax, -0.1, 1.0)
+    end
+
+    # Define a regex to extract the sensor number from the key names
+    sensor_number_regex = r"pressure_P(\d+)_fluid_\d+"
+
+    for (file_number, json_file) in enumerate(files)
+        json_data = JSON.parsefile(json_file)
+        time = json_data["pressure_P1_fluid_1"]["time"] .* normalization_factor_time
+        pressure_P1 = json_data["pressure_P1_fluid_1"]["values"] ./
+                      normalization_factor_pressure
+        pressure_P2 = json_data["pressure_P2_fluid_1"]["values"] ./
+                      normalization_factor_pressure
+
+        label_prefix = occursin("reference", json_file) ? "Reference " : ""
+
+        lines!(axs[1], time, pressure_P1,
+               label="$(label_prefix)dp=$(extract_resolution_from_filename(json_file))",
+               color=file_number, colormap=:tab10, colorrange=(1, 10))
+        lines!(axs[2], time, pressure_P2,
+               label="$(label_prefix)dp=$(extract_resolution_from_filename(json_file))",
+               color=file_number, colormap=:tab10, colorrange=(1, 10))
+        value = json_data["max_x_coord_fluid_1"]
+        lines!(ax_max, value["time"] .* sqrt(9.81), Float64.(value["values"]) ./ W,
+               label="$(label_prefix)dp=$(extract_resolution_from_filename(json_file))")
+    end
+end
+
+plot_results(axs_edac, ax_max_x_edac, edac_files)
+plot_results(axs_wcsph, ax_max_x_wcsph, wcsph_files)
+
+# Plot reference values
+function plot_experiment(ax, time, data, label, color=:black, marker=:utriangle,
+                         markersize=6)
+    scatter!(ax, time, data; color, marker, markersize, label)
+end
+
+function plot_simulation(ax, time, data, label, color=:red, linestyle=:dash, linewidth=3)
+    lines!(ax, time, data; color, linestyle, linewidth, label)
+end
+
+# Plot for Pressure Sensor P1
+plot_experiment(axs_edac[1], exp_P1.time, exp_P1.P1, "Buchner 2002 (exp)")
+plot_simulation(axs_edac[1], sim_P1.time, sim_P1.h320, "Marrone et al. 2011 (sim)")
+plot_experiment(axs_wcsph[1], exp_P1.time, exp_P1.P1, "Buchner 2002 (exp)")
+plot_simulation(axs_wcsph[1], sim_P1.time, sim_P1.h320, "Marrone et al. 2011 (sim)")
+
+# Plot for Pressure Sensor P2
+plot_experiment(axs_edac[2], exp_P2.time, exp_P2.P2, "Buchner 2002 (exp)")
+plot_simulation(axs_edac[2], sim_P2.time, sim_P2.h320, "Marrone et al. 2011 (sim)")
+plot_experiment(axs_wcsph[2], exp_P2.time, exp_P2.P2, "Buchner 2002 (exp)")
+plot_simulation(axs_wcsph[2], sim_P2.time, sim_P2.h320, "Marrone et al. 2011 (sim)")
+
+# Plot for Surge Front
+for ax_max in [ax_max_x_edac, ax_max_x_wcsph]
+    ax_max.xlabel = "Time"
+    ax_max.ylabel = "Surge Front"
+    xlims!(ax_max, 0.0, 3.0)
+    ylims!(ax_max, 1, 3.0)
+    plot_experiment(ax_max, surge_front.time, surge_front.surge_front,
+                    "Martin and Moyce 1952 (exp)")
+end
+
+for (i, ax) in enumerate(axs_edac)
+    Legend(fig[2, i], ax; tellwidth=false, orientation=:horizontal, valign=:top, nbanks=3)
+end
+for (i, ax) in enumerate(axs_wcsph)
+    Legend(fig[4, i], ax; tellwidth=false, orientation=:horizontal, valign=:top, nbanks=3)
+end
+Legend(fig[6, 1], ax_max_x_edac, tellwidth=false, orientation=:horizontal, valign=:top,
+       nbanks=2)
+Legend(fig[6, 2], ax_max_x_wcsph, tellwidth=false, orientation=:horizontal, valign=:top,
+       nbanks=2)
+
+fig
+# Uncomment to save the figure
+# save("dam_break_validation.svg", fig)
diff --git a/validation/dam_break_2d/sim_pressure_sensor_P1.csv b/validation/dam_break_2d/sim_pressure_sensor_P1.csv
new file mode 100644
index 000000000..62adda751
--- /dev/null
+++ b/validation/dam_break_2d/sim_pressure_sensor_P1.csv
@@ -0,0 +1,526 @@
+time,exp,h40,h320,h80
+2.00471,-0.05335,0.00625,0.00282,0.00373
+2.00785,-0.05025,0.00538,0.00298,0.00337
+2.01099,-0.04623,0.00447,0.00314,0.00301
+2.02512,-0.01792,0.00016,0.00384,0.00144
+2.06281,0.02087,0.00103,0.0047,-0.00175
+2.0738,0.0148,0.00169,0.00445,-0.00218
+2.07851,0.01126,0.00199,0.00424,-0.00227
+2.08165,0.00872,0.0022,0.00407,-0.0023
+2.12405,-0.02169,0.00527,0.00135,-0.00065
+2.14917,0.00206,0.00699,0.00068,0.00068
+2.16801,0.01112,0.00814,0.00082,0.00117
+2.23396,-0.0146,0.01071,0.00307,0.00065
+2.24966,-0.02026,0.01087,0.00362,0.00037
+2.27165,0.01033,0.01071,0.00363,-3e-06
+2.30462,0.0043,0.00941,0.00136,-0.0005
+2.34859,-0.00699,0.00487,-0.00104,-0.00089
+2.36429,-0.01061,0.00208,-0.00169,-0.00091
+2.4114,-0.01652,-0.01162,-0.00241,-0.00182
+2.42553,-0.01511,-0.01725,-0.00161,-0.00336
+2.42867,-0.01437,-0.01857,-0.00125,-0.00391
+2.44437,-0.00689,-0.02549,0.0013,-0.00874
+2.46478,0.02475,-0.03447,-0.00265,-0.02259
+2.46949,0.04603,-0.03634,-0.00169,-0.02671
+2.47263,0.07666,-0.0375,-0.00048,-0.02925
+2.48834,0.14632,-0.04156,0.0109,-0.03081
+2.49148,0.15352,-0.04186,0.01409,-0.02725
+2.49933,0.17028,-0.04148,0.02367,-0.01266
+2.50875,0.189,-0.0382,0.04335,0.01247
+2.51189,0.19501,-0.03623,0.05277,0.02187
+2.5166,0.20383,-0.03231,0.06545,0.03614
+2.52602,0.22087,-0.02062,0.0866,0.06321
+2.52916,0.2264,-0.01557,0.09231,0.07179
+2.54329,0.25031,0.01401,0.11395,0.109
+2.54643,0.25543,0.022,0.14007,0.11699
+2.55271,0.26544,0.03933,0.1626,0.13257
+2.55428,0.26789,0.04391,0.16991,0.13637
+2.55742,0.27276,0.05337,0.18808,0.14379
+2.56371,0.28233,0.07324,0.22364,0.15778
+2.56528,0.2847,0.07838,0.20051,0.16112
+2.57313,0.29649,0.10488,0.24677,0.1781
+2.57627,0.30121,0.11576,0.25617,0.18632
+2.58726,0.31794,0.15442,0.28128,0.23333
+2.58883,0.32039,0.15996,0.28482,0.26393
+2.59825,0.33566,0.19298,0.30945,0.3024
+2.59982,0.33835,0.19842,0.31443,0.30795
+2.6061,0.34979,0.21989,0.33706,0.32804
+2.60924,0.35611,0.23044,0.34948,0.33631
+2.61552,0.37138,0.25118,0.37498,0.3525
+2.62337,0.46317,0.27651,0.40522,0.37359
+2.62651,0.48502,0.28648,0.41615,0.38268
+2.63122,0.5066,0.30127,0.4311,0.39824
+2.63908,0.53381,0.32554,0.45345,0.43928
+2.65007,0.56241,0.35879,0.48243,0.46299
+2.65792,0.57716,0.38206,0.5042,0.47684
+2.66263,0.58451,0.39585,0.51956,0.48479
+2.67205,0.60494,0.42304,0.55023,0.50065
+2.68147,0.65255,0.44972,0.57135,0.51762
+2.68932,0.66239,0.47157,0.58448,0.53289
+2.70188,0.67114,0.50576,0.60199,0.55791
+2.71288,0.67619,0.53477,0.61518,0.57746
+2.72073,0.67897,0.5548,0.62362,0.58924
+2.73172,0.68204,0.5813,0.63402,0.60494
+2.75841,0.6864,0.62185,0.65131,0.63699
+2.75998,0.68653,0.62132,0.65211,0.63808
+2.77254,0.687,0.59819,0.65871,0.62952
+2.77411,0.68698,0.5957,0.6596,0.62868
+2.77725,0.68688,0.59519,0.66142,0.62835
+2.77882,0.6868,0.59765,0.66235,0.62856
+2.7961,0.68434,0.63118,0.67344,0.63548
+2.81494,0.67862,0.64219,0.68559,0.64379
+2.83064,0.67333,0.64196,0.69445,0.65114
+2.83535,0.67203,0.64114,0.69664,0.65365
+2.84338,0.67024,0.6393,0.69954,0.65792
+2.86205,0.66725,0.63374,0.69973,0.66456
+2.88575,0.66402,0.62626,0.69123,0.66839
+2.90287,0.66081,0.62237,0.69029,0.66949
+2.91543,0.65722,0.622,0.69124,0.66953
+2.92642,0.65351,0.6259,0.69212,0.66901
+2.93561,0.65053,0.63501,0.6924,0.66817
+2.94841,0.64739,0.66974,0.69157,0.66649
+2.96097,0.64586,0.66615,0.68939,0.66443
+2.9751,0.64574,0.65929,0.68548,0.66182
+2.98546,0.64615,0.65734,0.68171,0.65985
+2.99708,0.64666,0.6564,0.67677,0.65778
+3.02221,0.64285,0.65576,0.66826,0.65424
+3.02378,0.60237,0.65571,0.66822,0.65399
+3.02535,0.60106,0.65565,0.66832,0.65373
+3.03948,0.59421,0.65456,0.67137,0.64956
+3.04576,0.59228,0.65329,0.67164,0.64538
+3.0646,0.58798,0.63823,0.66796,0.63537
+3.06617,0.58768,0.63795,0.66746,0.6354
+3.06931,0.58712,0.63835,0.66638,0.63573
+3.10386,0.58211,0.65692,0.6518,0.64132
+3.11485,0.58076,0.66072,0.64678,0.6351
+3.12741,0.57922,0.63833,0.64103,0.62405
+3.13212,0.57862,0.63701,0.63891,0.62191
+3.16667,0.57306,0.64502,0.625,0.62608
+3.16741,0.5729,0.64514,0.62477,0.62605
+3.17138,0.572,0.64558,0.62366,0.62562
+3.19336,0.56367,0.64365,0.62205,0.61729
+3.20749,0.55259,0.63904,0.62449,0.60934
+3.21377,0.54981,0.63626,0.62494,0.6062
+3.21976,0.548,0.63291,0.62475,0.60981
+3.22633,0.54655,0.62737,0.62396,0.6144
+3.22948,0.54599,0.62261,0.62343,0.6148
+3.23105,0.54574,0.6184,0.62314,0.61487
+3.24361,0.54418,0.60693,0.62027,0.61412
+3.286,0.54164,0.61992,0.606,0.60766
+3.29385,0.54142,0.62184,0.60243,0.60648
+3.32212,0.54097,0.60988,0.59155,0.60253
+3.33468,0.54093,0.59954,0.59048,0.6008
+3.34881,0.54099,0.59196,0.5896,0.59873
+3.35038,0.541,0.60539,0.58951,0.59847
+3.35352,0.54103,0.60445,0.58935,0.59793
+3.36765,0.54121,0.59539,0.58867,0.59454
+3.38179,0.54148,0.5843,0.58811,0.59195
+3.38336,0.54151,0.58299,0.58805,0.59177
+3.40848,0.54218,0.57104,0.5873,0.58944
+3.43674,0.54306,0.59267,0.58683,0.58675
+3.4493,0.54346,0.59784,0.58677,0.5852
+3.45559,0.54366,0.59416,0.58679,0.58426
+3.47914,0.54431,0.56952,0.58719,0.57975
+3.48542,0.54446,0.56535,0.58743,0.57851
+3.49484,0.54464,0.56727,0.58793,0.57711
+3.49641,0.54467,0.56802,0.58803,0.57697
+3.51996,0.54487,0.5807,0.59032,0.57715
+3.53567,0.54478,0.58949,0.59262,0.57621
+3.54352,0.54467,0.59188,0.59381,0.57489
+3.55608,0.54441,0.58292,0.59502,0.57224
+3.55922,0.54433,0.56351,0.59505,0.57156
+3.56124,0.54428,0.56053,0.59499,0.57113
+3.58591,0.54355,0.55007,0.5912,0.5674
+3.59062,0.5434,0.55081,0.5902,0.56723
+3.61607,0.54258,0.56102,0.58667,0.57001
+3.62988,0.54216,0.56722,0.58941,0.57282
+3.63773,0.54194,0.57015,0.59255,0.57393
+3.65186,0.54159,0.57413,0.59631,0.57247
+3.66756,0.54126,0.57466,0.59379,0.57287
+3.67384,0.54115,0.56553,0.59184,0.57391
+3.67856,0.54108,0.56536,0.59026,0.57488
+3.6817,0.54103,0.5657,0.5892,0.57558
+3.6974,0.54084,0.56911,0.58435,0.57936
+3.75393,0.54065,0.58821,0.57761,0.59023
+3.75864,0.54066,0.59029,0.5775,0.59064
+3.77277,0.54074,0.59863,0.57737,0.59104
+3.78219,0.54082,0.60372,0.57737,0.59047
+3.808,0.54112,0.60278,0.57712,0.5858
+3.82301,0.54137,0.60295,0.57638,0.58173
+3.85536,0.54212,0.60981,0.57473,0.57428
+3.8607,0.54227,0.6103,0.57468,0.57383
+3.86227,0.54232,0.6104,0.57468,0.57377
+3.90467,0.54396,0.60895,0.57581,0.5805
+3.9077,0.54412,0.60866,0.57589,0.58125
+3.93764,0.54591,0.6044,0.57664,0.58649
+3.96005,0.54759,0.59854,0.57824,0.58529
+3.98946,0.55014,0.5902,0.58145,0.58013
+4.02086,0.55296,0.58543,0.5846,0.576
+4.0397,0.55448,0.58348,0.5857,0.57571
+4.06012,0.55584,0.58177,0.58557,0.57675
+4.06797,0.55626,0.58121,0.58517,0.57739
+4.1135,0.55784,0.57745,0.58193,0.58172
+4.11664,0.55791,0.57695,0.58177,0.58193
+4.12764,0.5581,0.57447,0.58131,0.58241
+4.17788,0.55839,0.56027,0.58036,0.5764
+4.18259,0.55837,0.56,0.58035,0.57519
+4.19358,0.55831,0.55981,0.58041,0.57219
+4.22342,0.55801,0.5612,0.57832,0.56468
+4.24383,0.55769,0.56326,0.57666,0.56181
+4.25482,0.55749,0.56473,0.5758,0.56173
+4.2721,0.55713,0.56769,0.57447,0.56431
+4.31135,0.55616,0.57289,0.57153,0.57302
+4.31606,0.55603,0.56803,0.57118,0.57289
+4.34118,0.55534,0.54303,0.56933,0.56407
+4.35532,0.55497,0.53968,0.5683,0.55678
+4.36788,0.55465,0.54009,0.56739,0.55198
+4.38672,0.55417,0.54525,0.56603,0.55003
+4.40556,0.5536,0.55271,0.56468,0.55185
+4.42284,0.55293,0.54554,0.56345,0.55419
+4.44796,0.55152,0.53254,0.56168,0.55482
+4.45267,0.55119,0.52998,0.56135,0.55456
+4.46994,0.54983,0.52581,0.56015,0.55307
+4.48597,0.54846,0.5278,0.55906,0.55132
+4.48721,0.54835,0.528,0.55897,0.55118
+4.50449,0.5469,0.53177,0.55784,0.54917
+4.53589,0.54461,0.53698,0.55634,0.5456
+4.5433,0.54417,0.5366,0.55666,0.54481
+4.57044,0.54293,0.53427,0.5561,0.54213
+4.59315,0.54234,0.53186,0.55546,0.54036
+4.60027,0.54221,0.53107,0.55487,0.53994
+4.61559,0.54196,0.52939,0.55367,0.5393
+4.65298,0.5413,0.52695,0.55069,0.53876
+4.67042,0.54081,0.52699,0.5501,0.53816
+4.68349,0.54029,0.52711,0.54965,0.53692
+4.71961,0.53765,0.52707,0.54862,0.52887
+4.74271,0.53433,0.52643,0.54829,0.52342
+4.75101,0.53276,0.52598,0.5483,0.52196
+4.76985,0.52855,0.52419,0.54872,0.51978
+4.80253,0.52042,0.51427,0.54945,0.51864
+4.81068,0.51865,0.51149,0.54908,0.51879
+4.81696,0.51746,0.51184,0.54862,0.51905
+4.82638,0.51598,0.51379,0.5477,0.51969
+4.84522,0.51402,0.51446,0.54521,0.52189
+4.86092,0.51313,0.51043,0.54257,0.51818
+4.86235,0.51308,0.50993,0.54231,0.51722
+4.8939,0.51267,0.49503,0.53603,0.49435
+4.89704,0.51269,0.49299,0.5354,0.49354
+4.90803,0.5128,0.4898,0.53334,0.49549
+4.91745,0.51293,0.49343,0.53177,0.50111
+4.92716,0.5131,0.49687,0.53044,0.50712
+4.93315,0.51321,0.49872,0.52978,0.50994
+4.94258,0.51338,0.50098,0.52899,0.51267
+4.97241,0.51393,0.49799,0.52754,0.51402
+4.98449,0.51412,0.48695,0.52686,0.51306
+4.98497,0.51413,0.48679,0.52682,0.51301
+4.99282,0.51423,0.48764,0.52602,0.51216
+5.00381,0.51435,0.49126,0.52434,0.51078
+5.02266,0.51444,0.49625,0.5211,0.50803
+5.02423,0.51444,0.49722,0.52087,0.50778
+5.03522,0.5144,0.50617,0.51947,0.50595
+5.03836,0.51438,0.50614,0.51912,0.50541
+5.06505,0.51392,0.50059,0.51671,0.50019
+5.06662,0.51389,0.5002,0.5166,0.49984
+5.06976,0.51382,0.49944,0.51639,0.49912
+5.0996,0.5132,0.49495,0.5127,0.49345
+5.10745,0.5131,0.49503,0.51136,0.49345
+5.13257,0.51307,0.49792,0.50685,0.49618
+5.15926,0.51358,0.50248,0.50185,0.49855
+5.16712,0.51384,0.50394,0.50034,0.49865
+5.17811,0.51427,0.50611,0.49819,0.49819
+5.19538,0.51511,0.50909,0.49469,0.49658
+5.2048,0.51564,0.5088,0.49266,0.49554
+5.22521,0.51699,0.50907,0.48798,0.49372
+5.23306,0.51758,0.5096,0.48892,0.49342
+5.23777,0.51796,0.50997,0.48972,0.4934
+5.27389,0.52152,0.51204,0.49493,0.49661
+5.28959,0.52364,0.50606,0.49636,0.49853
+5.2943,0.5244,0.49713,0.49658,0.4986
+5.30058,0.52555,0.49477,0.49668,0.4874
+5.30372,0.5262,0.49393,0.49663,0.4861
+5.31157,0.52824,0.49262,0.49618,0.48489
+5.33356,0.54118,0.4927,0.49261,0.48482
+5.33984,0.54306,0.49317,0.49126,0.48514
+5.34141,0.54335,0.4933,0.49092,0.48524
+5.35083,0.54447,0.49409,0.48892,0.48587
+5.37438,0.54569,0.49539,0.48513,0.48754
+5.38694,0.5461,0.49482,0.48448,0.48807
+5.38852,0.54615,0.49462,0.48445,0.48811
+5.41364,0.54708,0.48928,0.48287,0.48794
+5.41678,0.54723,0.48884,0.48239,0.48784
+5.4419,0.54897,0.48693,0.47809,0.48659
+5.44504,0.54928,0.48679,0.47767,0.48638
+5.47488,0.55363,0.48583,0.47613,0.48298
+5.48744,0.55624,0.48548,0.47682,0.4806
+5.52983,0.56793,0.48357,0.48166,0.47185
+5.53454,0.56939,0.48306,0.48225,0.47107
+5.55025,0.57428,0.48006,0.48393,0.46938
+5.55182,0.57477,0.47983,0.48405,0.46933
+5.55653,0.57628,0.47929,0.4843,0.46939
+5.58479,0.58714,0.47832,0.47804,0.47439
+5.58636,0.58802,0.47837,0.47757,0.47463
+5.59264,0.59253,0.47872,0.47608,0.47533
+5.61463,0.60741,0.47981,0.47354,0.47555
+5.6162,0.6081,0.4798,0.47343,0.4755
+5.65231,0.62091,0.47822,0.47113,0.47382
+5.65545,0.62191,0.47807,0.47083,0.47378
+5.66958,0.6264,0.47754,0.46863,0.47443
+5.68686,0.63194,0.47729,0.46984,0.47529
+5.68843,0.63246,0.47729,0.47007,0.47527
+5.69157,0.6335,0.4773,0.47054,0.4752
+5.7371,0.65055,0.47975,0.47744,0.47319
+5.74809,0.65519,0.48106,0.47881,0.47303
+5.74966,0.65586,0.48127,0.47899,0.47303
+5.78107,0.67451,0.48564,0.48182,0.4739
+5.78735,0.69092,0.48641,0.48217,0.47415
+5.80462,0.70752,0.48793,0.48271,0.47457
+5.80619,0.71554,0.48801,0.48272,0.47458
+5.81247,0.79425,0.48821,0.48272,0.47449
+5.81404,0.83196,0.48823,0.4827,0.47444
+5.81561,0.7424,0.48825,0.48268,0.47438
+5.82503,0.76479,0.48816,0.48246,0.47377
+5.83288,0.87672,0.48789,0.48216,0.47301
+5.83603,0.85956,0.48774,0.48201,0.47266
+5.85801,0.84627,0.48657,0.4806,0.47074
+5.86272,0.84408,0.48641,0.48024,0.47081
+5.869,0.83939,0.48634,0.47973,0.47129
+5.88156,0.7976,0.48671,0.47868,0.47316
+5.89412,0.77696,0.4876,0.47763,0.47521
+5.90354,0.76475,0.48838,0.47691,0.4764
+5.90668,0.75964,0.48863,0.4767,0.47675
+5.92082,0.72445,0.48964,0.476,0.47825
+5.93024,0.69598,0.49026,0.47594,0.47931
+5.93652,0.67892,0.49068,0.4762,0.48009
+5.94437,0.66461,0.49123,0.47697,0.48115
+5.9585,0.65284,0.49234,0.4797,0.48332
+5.96792,0.64756,0.49322,0.48227,0.48477
+5.9852,0.63932,0.49512,0.48487,0.48681
+5.99462,0.63504,0.49632,0.48361,0.48636
+6.00875,0.62854,0.49829,0.48082,0.48465
+6.01503,0.62553,0.49925,0.48,0.48859
+6.04015,0.61082,0.50615,0.48484,0.50546
+6.04172,0.60947,0.50699,0.48582,0.5065
+6.048,0.60022,0.51171,0.49066,0.51059
+6.05114,0.57887,0.51553,0.49358,0.51259
+6.05742,0.57421,0.53708,0.50026,0.5165
+6.08255,0.5642,0.54051,0.52736,0.52997
+6.08412,0.56368,0.54107,0.49527,0.53063
+6.08569,0.56316,0.54154,0.49028,0.53125
+6.09354,0.56054,0.54244,0.46766,0.53369
+6.10139,0.55779,0.54301,0.50041,0.53407
+6.10296,0.55721,0.54358,0.50701,0.53361
+6.10767,0.55536,0.54676,0.51989,0.52944
+6.11238,0.55339,0.55185,0.523,0.49004
+6.13437,0.54507,0.58033,0.51152,0.51644
+6.13751,0.54435,0.58301,0.51092,0.52084
+6.15007,0.54301,0.59448,0.51269,0.53834
+6.15321,0.54299,0.60196,0.51383,0.5426
+6.16734,0.54397,0.65563,0.52087,0.56016
+6.16891,0.54416,0.65867,0.52179,0.56184
+6.17205,0.54457,0.62285,0.52366,0.56495
+6.17362,0.5448,0.63703,0.52462,0.56637
+6.18304,0.54638,0.64374,0.53031,0.57269
+6.18775,0.5473,0.68404,0.5328,0.57405
+6.19089,0.54796,0.66165,0.53424,0.57406
+6.1956,0.54902,0.67069,0.53615,0.57284
+6.20502,0.55135,0.70567,0.54085,0.58998
+6.20817,0.55219,0.72656,0.54298,0.59187
+6.20974,0.55263,0.72922,0.54414,0.59298
+6.2223,0.55641,0.74596,0.55456,0.60506
+6.23172,0.55964,0.76461,0.56321,0.6176
+6.238,0.56199,0.78625,0.56932,0.637
+6.24428,0.56449,0.79761,0.5758,0.64965
+6.24742,0.56579,0.80789,0.57933,0.65489
+6.25213,0.56782,0.84595,0.58543,0.66145
+6.25841,0.57062,0.85896,0.59467,0.66535
+6.25998,0.57134,0.86759,0.59689,0.66336
+6.26312,0.57279,0.87998,0.60117,0.64147
+6.26626,0.57427,0.884,0.60529,0.65142
+6.27568,0.57876,0.89513,0.61725,0.68922
+6.27882,0.58026,0.89967,0.62119,0.69904
+6.28039,0.58101,0.90258,0.62315,0.70302
+6.28511,0.58324,0.91459,0.62903,0.71175
+6.28825,0.58474,0.92078,0.63296,0.71608
+6.2961,0.58866,0.93474,0.64287,0.72724
+6.29924,0.59038,0.94294,0.64689,0.73226
+6.30238,0.59226,0.94959,0.65098,0.73772
+6.30305,0.59269,0.95086,0.65187,0.73894
+6.31337,0.60236,0.95861,0.66678,0.76264
+6.31494,0.60562,0.95296,0.66945,0.76831
+6.31651,0.62284,0.91831,0.67232,0.77744
+6.31808,0.62075,0.93473,0.67538,0.78933
+6.31965,0.61831,0.92044,0.67857,0.79799
+6.32049,0.61695,0.90825,0.68029,0.80184
+6.32122,0.61576,0.89816,0.68176,0.80487
+6.32436,0.61058,0.87875,0.688,0.81645
+6.32907,0.60283,0.86084,0.69706,0.83171
+6.33378,0.59523,0.83099,0.70575,0.8457
+6.33545,0.5926,0.82649,0.70872,0.85042
+6.34163,0.58319,0.81717,0.71942,0.86681
+6.3432,0.58092,0.81457,0.72227,0.8706
+6.3504,0.57127,0.80111,0.73714,0.88499
+6.35576,0.56545,0.79407,0.74997,0.89292
+6.35734,0.56411,0.79441,0.75389,0.89527
+6.36048,0.56232,0.80933,0.76182,0.90044
+6.36676,0.56859,0.74441,0.77786,0.91556
+6.36833,0.57933,0.76082,0.78184,0.92276
+6.3699,0.59441,0.75976,0.78577,0.93979
+6.37035,0.59425,0.75882,0.78689,0.94458
+6.37461,0.58341,0.74721,0.79714,0.95187
+6.38089,0.56451,0.73097,0.81113,0.94558
+6.38281,0.5593,0.72681,0.81531,0.94291
+6.38874,0.54589,0.71592,0.8301,0.93361
+6.39278,0.53932,0.71005,0.84374,0.92666
+6.39973,0.5312,0.70559,0.87009,0.91384
+6.4013,0.52971,0.72424,0.87484,0.91081
+6.40773,0.52389,0.70751,0.88875,0.89757
+6.41072,0.51901,0.69961,0.89275,0.89038
+6.41543,0.49967,0.68847,0.89709,0.87125
+6.41857,0.49814,0.68244,0.89896,0.83394
+6.42328,0.49662,0.67632,0.90047,0.82362
+6.43266,0.4948,0.67196,0.89822,0.80845
+6.43428,0.49457,0.67124,0.89673,0.80574
+6.43742,0.49415,0.66409,0.8922,0.7996
+6.44213,0.49361,0.6593,0.8796,0.7766
+6.4437,0.49345,0.65862,0.87385,0.76825
+6.44512,0.4933,0.65814,0.86859,0.76346
+6.45509,0.49241,0.65628,0.84016,0.74679
+6.45783,0.49218,0.65594,0.83247,0.74661
+6.46506,0.49161,0.65495,0.81054,0.75961
+6.46882,0.49132,0.65406,0.7992,0.76231
+6.47039,0.4912,0.65342,0.79512,0.76153
+6.47503,0.49083,0.64162,0.78566,0.7551
+6.4751,0.49082,0.64138,0.78554,0.75498
+6.48452,0.49003,0.62794,0.77188,0.73505
+6.48923,0.48958,0.63988,0.76545,0.7257
+6.49248,0.48926,0.63534,0.76077,0.73196
+6.50179,0.48816,0.61823,0.74671,0.72398
+6.50808,0.48724,0.60931,0.73947,0.7227
+6.51242,0.48647,0.59551,0.73589,0.72283
+6.51279,0.4864,0.59434,0.73563,0.72287
+6.51436,0.48609,0.61002,0.7346,0.72306
+6.5175,0.48539,0.61142,0.73282,0.72359
+6.54576,0.4723,0.61299,0.72431,0.73276
+6.54732,0.47139,0.61224,0.72403,0.73337
+6.54733,0.47139,0.60254,0.72402,0.73337
+6.56146,0.4682,0.59283,0.72184,0.73861
+6.56303,0.46838,0.58611,0.72165,0.73909
+6.56617,0.46893,0.5874,0.7213,0.73984
+6.57402,0.47104,0.58926,0.72068,0.72939
+6.57873,0.47264,0.58685,0.72049,0.73054
+6.58188,0.4738,0.5667,0.72044,0.7318
+6.5847,0.4749,0.58215,0.72046,0.73303
+6.59444,0.479,0.5555,0.72089,0.73731
+6.60857,0.48547,0.54505,0.72177,0.7422
+6.61171,0.48695,0.54248,0.72186,0.74281
+6.61642,0.48916,0.53908,0.72181,0.74318
+6.6196,0.49064,0.53877,0.72163,0.74306
+6.6227,0.49206,0.53882,0.72129,0.74268
+6.63212,0.49599,0.53758,0.7196,0.7404
+6.6384,0.49809,0.53064,0.71828,0.74056
+6.64782,0.50062,0.51966,0.71694,0.75748
+6.64951,0.5011,0.51811,0.71688,0.75817
+6.65096,0.50152,0.51683,0.71687,0.75846
+6.6541,0.50249,0.51419,0.71705,0.75849
+6.67942,0.51156,0.49255,0.72515,0.75224
+6.68237,0.51266,0.48905,0.72658,0.75178
+6.69022,0.51559,0.46666,0.73047,0.75248
+6.70121,0.51963,0.46293,0.73546,0.77785
+6.70435,0.52076,0.46143,0.73665,0.77683
+6.70749,0.52187,0.45793,0.7377,0.77356
+6.71432,0.52424,0.44932,0.73936,0.76555
+6.71691,0.52513,0.44799,0.73973,0.76366
+6.7279,0.52915,0.44723,0.74014,0.78007
+6.74047,0.53673,0.44574,0.74024,0.78566
+6.74204,0.53902,0.44434,0.74038,0.78598
+6.74832,0.50004,0.42783,0.74146,0.787
+6.74921,0.49606,0.42695,0.74171,0.78713
+6.75617,0.47653,0.42481,0.74446,0.78827
+6.75774,0.47633,0.42482,0.74525,0.7886
+6.76559,0.51857,0.42633,0.74996,0.7908
+6.77187,0.54797,0.42707,0.75422,0.79317
+6.77815,0.5492,0.4099,0.75847,0.79582
+6.77972,0.54744,0.40835,0.75948,0.79647
+6.78162,0.5446,0.40675,0.76065,0.79723
+6.79385,0.51139,0.39866,0.76694,0.80109
+6.80013,0.48914,0.39417,0.76967,0.80243
+6.8017,0.48644,0.39273,0.77034,0.80272
+6.81113,0.47434,0.3778,0.77465,0.80352
+6.81153,0.47389,0.37758,0.77485,0.80351
+6.8127,0.47257,0.37716,0.77546,0.80344
+6.8284,0.45614,0.37779,0.78552,0.79821
+6.82997,0.45459,0.37769,0.7867,0.79719
+6.83895,0.44601,0.37423,0.7938,0.78973
+6.84253,0.44272,0.37107,0.79674,0.78611
+6.85509,0.43193,0.35987,0.80588,0.77147
+6.87079,0.42086,0.35613,0.8122,0.7508
+6.87236,0.42001,0.34654,0.8125,0.74867
+6.87384,0.41928,0.34565,0.81273,0.74665
+6.8755,0.41855,0.34494,0.81294,0.74438
+6.88022,0.41732,0.34362,0.81322,0.73786
+6.88807,0.45762,0.34219,0.8129,0.72668
+6.91162,0.43223,0.33848,0.80649,0.68824
+6.9179,0.41537,0.33671,0.80269,0.67547
+6.91871,0.41348,0.33636,0.80205,0.67368
+6.91947,0.41191,0.32328,0.80141,0.67195
+6.92261,0.40743,0.33277,0.79809,0.66432
+6.92732,0.40465,0.31656,0.78947,0.65076
+6.93366,0.40436,0.3156,0.77362,0.62684
+6.93517,0.40461,0.31541,0.77133,0.62012
+6.95087,0.41026,0.31281,0.75546,0.54864
+6.95859,0.41404,0.30861,0.74754,0.51962
+6.9603,0.41493,0.30535,0.7454,0.51363
+6.96501,0.41744,0.29714,0.73825,0.49777
+6.97604,0.42361,0.29484,0.71792,0.46392
+6.98228,0.42723,0.29489,0.70904,0.44653
+6.98542,0.42907,0.29564,0.705,0.43823
+6.99598,0.43524,0.28864,0.69067,0.41245
+7.00112,0.43817,0.28492,0.6811,0.40104
+7.00269,0.43903,0.28369,0.6778,0.39771
+7.01093,0.44314,0.27763,0.66223,0.38139
+7.01211,0.44365,0.27715,0.66047,0.37921
+7.01839,0.44574,0.27547,0.65241,0.36828
+7.02467,0.44786,0.27443,0.64561,0.35844
+7.03586,0.45434,0.27333,0.63497,0.34337
+7.05765,0.46648,0.27471,0.61705,0.32119
+7.06079,0.46799,0.27583,0.61476,0.3186
+7.06577,0.47025,0.27873,0.61127,0.31474
+7.07492,0.47415,0.28366,0.60531,0.30834
+7.08905,0.48027,0.26425,0.59743,0.29989
+7.09376,0.48251,0.2538,0.59519,0.29739
+7.10066,0.48624,0.25025,0.5923,0.29394
+7.10947,0.4926,0.24728,0.58932,0.28988
+7.11104,0.49413,0.24707,0.58888,0.28919
+7.11889,0.50467,0.27021,0.58713,0.28588
+7.12674,0.50453,0.27103,0.58616,0.28277
+7.13805,0.47222,0.26986,0.58636,0.27858
+7.14401,0.457,0.2687,0.58729,0.27649
+7.14715,0.45228,0.26739,0.58799,0.27541
+7.15186,0.45753,0.25228,0.58926,0.27384
+7.15814,0.47616,0.23607,0.59131,0.2718
+7.17295,0.45058,0.21317,0.597,0.26722
+7.17541,0.44712,0.21496,0.59796,0.26648
+7.17856,0.44349,0.23287,0.59915,0.26556
+7.1817,0.44069,0.26048,0.60033,0.26464
+7.18327,0.43958,0.25939,0.60092,0.26419
+7.20037,0.43535,0.24462,0.60765,0.2594
+7.21938,0.43708,0.2321,0.61877,0.25436
+7.2228,0.43743,0.23237,0.62186,0.25348
+7.23194,0.43732,0.25672,0.63342,0.25116
+7.23775,0.43525,0.26223,0.64081,0.2497
+7.2445,0.42937,0.25299,0.64641,0.24804
+7.24921,0.42356,0.21119,0.64853,0.24688
+7.25707,0.41641,0.21468,0.64918,0.24498
+7.25769,0.41607,0.21498,0.64909,0.24482
+7.28013,0.41331,0.22515,0.6325,0.23949
+7.28761,0.41404,0.22926,0.60288,0.23773
+7.28847,0.41415,0.22983,0.59685,0.23753
+7.29259,0.41468,0.23337,0.57326,0.23657
+7.29475,0.41498,0.24401,0.56159,0.23606
+7.29758,0.41538,0.24585,0.54364,0.2354
+7.29946,0.41565,0.2455,0.52094,0.23496
+7.30007,0.41574,0.24533,0.51403,0.23482
+7.3026,0.4161,0.24401,0.49013,0.23423
+7.30574,0.41654,0.24251,0.46117,0.2335
+7.31045,0.41716,0.24169,0.40744,0.23241
+7.31516,0.41768,0.24123,0.3537,0.23132
\ No newline at end of file
diff --git a/validation/dam_break_2d/sim_pressure_sensor_P2.csv b/validation/dam_break_2d/sim_pressure_sensor_P2.csv
new file mode 100644
index 000000000..9b2b15ad8
--- /dev/null
+++ b/validation/dam_break_2d/sim_pressure_sensor_P2.csv
@@ -0,0 +1,271 @@
+time,exp,h40,h80,h320
+2.99329,-0.003494,-0.024238,-0.005919,0.00128
+3.00553,-0.015227,-0.021572,-0.003589,0.001019
+3.00728,-0.016577,-0.021187,-0.003167,0.000984
+3.0405,-0.024482,-0.014254,-0.000973,0.000442
+3.06662,-0.009371,-0.01079,-0.003062,0.000178
+3.06848,-0.007995,-0.010712,-0.00323,0.000164
+3.10346,0.007016,-0.018955,-0.005912,-4.7e-05
+3.10965,0.006076,-0.021852,-0.006149,-7.4e-05
+3.11395,0.004728,-0.02371,-0.006226,-9.1e-05
+3.13668,-0.005927,-0.027571,-0.004977,-0.000162
+3.16466,-0.014863,-0.018641,-0.002115,-0.000218
+3.17904,-0.015926,-0.01517,-0.002166,-0.000235
+3.18389,-0.015761,-0.014474,-0.002332,-0.000239
+3.19614,-0.014485,-0.013626,-0.002845,-0.000247
+3.24335,-0.004529,-0.015262,-0.003999,-0.000247
+3.26084,-0.000808,-0.015983,-0.00386,-0.000238
+3.29146,0.002483,-0.01509,-0.003182,-0.000213
+3.32554,-0.004655,-0.012248,-0.00211,-0.000174
+3.371,-0.018361,-0.010321,-0.000648,-0.00011
+3.3789,-0.018927,-0.010186,-0.000464,-9.7e-05
+3.40598,-0.016902,-0.010014,-0.000252,-5.1e-05
+3.44794,-0.008673,-0.010215,-0.000659,2.6e-05
+3.49688,-0.000817,-0.009718,-0.000598,0.000126
+3.49866,-0.000763,-0.009653,-0.000593,0.000129
+3.57385,-0.011145,-0.004048,-0.000663,0.000298
+3.5756,-0.011243,-0.003936,-0.000678,0.000302
+3.60514,-0.010937,-0.002581,-0.001061,0.000372
+3.65604,-0.004909,-0.003311,-0.001743,0.000497
+3.66706,-0.003194,-0.004756,-0.001763,0.000524
+3.69276,0.001053,-0.008487,-0.001444,0.000588
+3.69975,0.002245,-0.008185,-0.001251,0.000606
+3.72214,0.006078,-0.005062,-0.000368,0.000988
+3.77502,0.014078,0.001172,0.002442,0.001923
+3.78544,0.01499,0.001537,0.002944,0.00163
+3.79251,0.015187,0.001588,0.003234,0.001924
+3.79768,0.014861,0.001536,0.003407,0.002194
+3.82569,-0.007992,0.000339,0.003622,0.003803
+3.82998,-0.007999,6e-05,0.003578,0.004056
+3.87812,-0.002171,-0.003356,0.00377,0.00693
+3.89211,0.000193,-0.003721,0.00424,0.007774
+3.94282,0.009347,0.006007,0.006706,0.010864
+4.01041,0.019612,0.008439,0.01072,0.015075
+4.01277,0.019662,0.00847,0.010864,0.015225
+4.02568,-0.002976,0.008699,0.011652,0.016049
+4.0355,-0.002719,0.008988,0.012254,0.016682
+4.06143,-7.1e-05,0.010569,0.013879,0.018392
+4.11211,0.007032,0.015898,0.017419,0.022158
+4.11769,0.007846,0.016464,0.017846,0.021416
+4.13343,0.010122,0.017953,0.019083,0.022788
+4.16498,0.014434,0.02072,0.021702,0.025924
+4.21582,0.019284,0.025438,0.026279,0.031324
+4.2296,0.019363,0.026932,0.027599,0.032815
+4.28522,0.004712,0.03433,0.03333,0.038868
+4.3048,0.008604,0.037099,0.035532,0.041004
+4.32753,0.015819,0.040022,0.038235,0.043479
+4.37405,0.028473,0.04481,0.044163,0.048513
+4.44819,0.025729,0.053483,0.053857,0.056235
+4.4514,0.025502,0.05392,0.054234,0.056545
+4.47536,0.024595,0.057311,0.05675,0.058589
+4.49766,0.024953,0.060635,0.059055,0.060312
+4.51813,0.026011,0.063804,0.062084,0.063695
+4.61081,0.036632,0.079515,0.079668,0.079046
+4.63704,0.041238,0.084532,0.082829,0.083441
+4.64885,0.043589,0.086954,0.083864,0.085436
+4.66731,0.047661,0.091041,0.085473,0.088591
+4.68076,0.05094,0.094321,0.087146,0.09095
+4.70697,0.05805,0.101556,0.092717,0.096604
+4.72972,0.064923,0.108106,0.099345,0.100599
+4.73497,0.066583,0.10953,0.100992,0.10145
+4.74883,0.071067,0.113115,0.105196,0.103674
+4.77932,0.081013,0.120294,0.111315,0.108822
+4.78044,0.081365,0.120541,0.111469,0.109037
+4.79069,0.0845,0.122755,0.112768,0.111216
+4.82594,0.094008,0.129642,0.116758,0.120174
+4.83115,0.095272,0.130556,0.117374,0.121222
+4.85563,0.101001,0.134502,0.120818,0.125324
+4.86676,0.103586,0.13615,0.123094,0.126851
+4.87,0.104346,0.13662,0.123903,0.127243
+4.89935,0.111338,0.140779,0.133167,0.132673
+4.90966,0.11384,0.14226,0.135898,0.135257
+4.94306,0.12206,0.147389,0.143149,0.143844
+4.98153,0.131715,0.15414,0.150753,0.153588
+4.9889,0.133583,0.155526,0.152192,0.1554
+5.02863,0.143724,0.16358,0.159961,0.164487
+5.05323,0.149984,0.169463,0.164786,0.168417
+5.07421,0.155261,0.181441,0.168925,0.169138
+5.0749,0.155432,0.181759,0.169061,0.169197
+5.10795,0.163493,0.194084,0.175672,0.178627
+5.12143,0.166633,0.19909,0.178439,0.18323
+5.1263,0.167738,0.200999,0.179464,0.184763
+5.14066,0.17087,0.207266,0.182658,0.18803
+5.141,0.17094,0.207431,0.182737,0.188057
+5.17039,0.176741,0.225115,0.190787,0.188973
+5.17739,0.178005,0.226731,0.192607,0.189915
+5.18947,0.18011,0.226474,0.19567,0.191824
+5.20541,0.182882,0.224237,0.199647,0.194684
+5.2246,0.187139,0.221856,0.204398,0.198387
+5.24384,0.194487,0.229342,0.209176,0.202259
+5.24566,0.195357,0.229964,0.209633,0.202633
+5.26132,0.202888,0.230569,0.213614,0.205869
+5.26482,0.204412,0.230462,0.214535,0.206598
+5.28231,0.210729,0.234952,0.221081,0.210277
+5.2858,0.211745,0.23857,0.22297,0.211018
+5.30329,0.215789,0.246931,0.230308,0.214744
+5.31922,0.218229,0.246675,0.235646,0.218159
+5.33477,0.219758,0.245441,0.239438,0.221497
+5.34149,0.220243,0.24505,0.240413,0.222936
+5.35225,0.220864,0.245426,0.241063,0.225224
+5.36799,0.221519,0.255907,0.240837,0.22847
+5.38335,0.221967,0.25219,0.240844,0.230949
+5.38548,0.222019,0.251564,0.240928,0.231261
+5.40646,0.222453,0.247664,0.242727,0.234537
+5.42741,0.222851,0.249242,0.245665,0.237547
+5.44843,0.223363,0.253098,0.24953,0.239923
+5.45542,0.223587,0.254022,0.251108,0.240577
+5.46912,0.22415,0.253539,0.254286,0.241727
+5.47588,0.224506,0.252607,0.255289,0.242257
+5.48165,0.224853,0.252895,0.255786,0.242704
+5.4834,0.224966,0.253454,0.25589,0.24284
+5.49914,0.226142,0.262253,0.256296,0.244083
+5.51488,0.227582,0.257383,0.256206,0.24542
+5.52656,0.228789,0.260036,0.255951,0.246496
+5.53936,0.230208,0.26337,0.255519,0.247743
+5.54636,0.231007,0.252511,0.255215,0.248432
+5.5481,0.231207,0.25097,0.255131,0.248603
+5.56559,0.233186,0.243896,0.25412,0.250252
+5.58133,0.234822,0.238278,0.253014,0.251545
+5.59045,0.235653,0.246973,0.252365,0.252147
+5.59126,0.235722,0.247434,0.252311,0.252193
+5.59357,0.235913,0.248011,0.252158,0.252317
+5.60056,0.23644,0.245232,0.251754,0.25263
+5.61455,0.237217,0.239022,0.2512,0.253013
+5.63729,0.237394,0.243584,0.248753,0.253387
+5.64253,0.237182,0.245008,0.247535,0.253529
+5.64333,0.23714,0.245169,0.247334,0.253554
+5.67401,0.232854,0.239013,0.240393,0.255211
+5.67751,0.231926,0.237797,0.240135,0.255457
+5.6962,0.224416,0.2309,0.242046,0.256849
+5.69674,0.224116,0.230688,0.242186,0.256889
+5.71073,0.213967,0.224701,0.248742,0.25795
+5.72472,0.198417,0.217419,0.258849,0.259022
+5.73521,0.181528,0.210173,0.256679,0.259847
+5.73838,0.174779,0.207351,0.255859,0.260101
+5.74115,0.194392,0.204493,0.255125,0.260327
+5.74467,0.193585,0.200258,0.254192,0.260615
+5.76319,0.184195,0.176846,0.249736,0.262179
+5.77893,0.174493,0.174771,0.247234,0.263515
+5.79535,0.164384,0.178111,0.246473,0.264853
+5.79817,0.162723,0.179087,0.246507,0.265074
+5.79991,0.161713,0.185078,0.246548,0.265209
+5.81055,0.156046,0.197748,0.247086,0.266021
+5.8174,0.153072,0.205294,0.247643,0.266548
+5.83664,0.148034,0.220642,0.249472,0.268164
+5.84602,0.145849,0.215544,0.249683,0.269091
+5.85496,0.141181,0.207992,0.248382,0.270093
+5.86287,0.13412,0.201302,0.246099,0.271033
+5.86636,0.130428,0.198547,0.245095,0.271452
+5.88272,0.114431,0.187622,0.24219,0.27327
+5.88966,0.154548,0.18385,0.242192,0.273903
+5.89449,0.15378,0.181575,0.242732,0.274273
+5.89959,0.152415,0.179598,0.243847,0.274597
+5.90483,0.150634,0.178323,0.245613,0.274875
+5.92232,0.143051,0.180566,0.254715,0.275626
+5.94331,0.131939,0.164662,0.267803,0.276917
+5.94516,0.130877,0.16287,0.268874,0.277096
+5.95729,0.123668,0.149484,0.274922,0.278707
+5.97828,0.110042,0.120651,0.280096,0.28365
+5.98262,0.107011,0.118548,0.280201,0.28511
+5.98877,0.102548,0.117087,0.279778,0.287527
+6.00101,0.092778,0.113908,0.277264,0.293764
+6.00208,0.091827,0.113022,0.276971,0.294397
+6.00465,0.089431,0.11031,0.276237,0.295957
+6.0118,0.067755,0.116974,0.274025,0.300586
+6.01675,0.066834,0.128134,0.272435,0.304311
+6.02007,0.066389,0.136286,0.271391,0.307276
+6.03424,0.064635,0.170181,0.268538,0.31821
+6.03549,0.064473,0.172954,0.268661,0.318596
+6.05872,0.060931,0.212536,0.245321,0.318166
+6.06193,0.060328,0.215789,0.238278,0.317177
+6.07096,0.058425,0.220982,0.217821,0.311289
+6.07425,0.057641,0.221206,0.210215,0.307135
+6.07515,0.057418,0.221106,0.208136,0.305853
+6.08396,0.055022,0.216687,0.187602,0.294058
+6.09278,0.052323,0.206632,0.166981,0.282264
+6.09718,0.050897,0.199783,0.156682,0.270469
+6.10379,0.048707,0.187603,0.141299,0.259147
+6.1104,0.046503,0.173592,0.126062,0.247352
+6.11481,0.045052,0.163525,0.116038,0.235558
+6.11922,0.043632,0.153116,0.106187,0.223764
+6.12342,0.042315,0.143089,0.097041,0.21256
+6.12362,0.042253,0.142608,0.09661,0.21197
+6.12692,0.041255,0.134857,0.089736,0.202626
+6.12803,0.040926,0.132289,0.087488,0.200176
+6.13464,0.03905,0.117637,0.075169,0.188381
+6.13904,0.037884,0.108504,0.054541,0.176587
+6.13916,0.037855,0.108276,0.067834,0.176255
+6.14345,0.03679,0.099909,0.048195,0.164793
+6.14786,0.035772,0.09186,0.044368,0.153471
+6.14965,0.03538,0.088738,0.043121,0.148855
+6.15226,0.034831,0.084338,0.041508,0.141677
+6.15667,0.033968,0.077309,0.039144,0.129882
+6.15892,0.033557,0.073897,0.038054,0.125854
+6.16328,0.032816,0.067576,0.036091,0.118088
+6.16769,0.032132,0.061542,0.034256,0.106294
+6.17413,0.031229,0.053226,0.031754,0.09484
+6.17429,0.031207,0.053021,0.031692,0.094499
+6.1787,0.030647,0.047621,0.030069,0.082705
+6.18531,0.029873,0.039883,0.027712,0.070911
+6.19192,0.029163,0.032555,0.025401,0.059588
+6.20073,0.028288,0.023418,0.022299,0.047793
+6.20955,0.027464,0.015057,0.019014,0.035999
+6.21785,0.026703,0.008001,0.015404,0.028389
+6.22277,0.026248,0.004274,0.012587,0.024675
+6.23184,0.025376,-0.001447,0.003749,0.01837
+6.23819,0.02472,-0.004254,-0.000632,0.014294
+6.24233,0.024261,-0.005461,-0.001823,0.011344
+6.24259,0.02423,-0.005521,-0.00188,0.010991
+6.26718,0.020466,-0.004605,-0.004022,0.002671
+6.27344,0.018968,-0.003642,-0.004176,0.002024
+6.27905,0.017355,-0.002952,-0.004258,0.001586
+6.32277,0.004711,-0.002842,-0.004082,4.2e-05
+6.33851,0.003361,-0.004833,-0.003935,-0.000152
+6.34351,0.003218,-0.006236,-0.003894,-0.000194
+6.349,0.003183,-0.0112,-0.003852,-0.000232
+6.37173,0.003894,-0.009331,-0.003739,-0.000326
+6.37919,0.004316,-0.010336,-0.003727,-0.000351
+6.4102,0.006575,-0.01383,-0.003861,-0.000555
+6.42769,0.008023,-0.008821,-0.004097,-0.00076
+6.43427,0.008575,-0.007037,-0.004222,-0.000831
+6.4563,0.010364,-0.003017,-0.004786,-0.000834
+6.48015,0.011994,-0.000735,-0.005669,-0.000838
+6.49757,0.012705,0.000169,-0.006533,-0.000841
+6.50918,0.012732,0.000566,-0.007246,-0.000842
+6.52212,0.012169,0.000877,-0.00823,-0.000841
+6.57252,0.005561,0.001257,-0.010875,-0.000837
+6.57633,0.00555,0.001248,-0.010485,-0.000837
+6.65441,0.01179,0.000394,6.8e-05,-0.000836
+6.66026,0.01173,0.000295,0.000361,-0.000837
+6.67775,0.010842,-1.6e-05,0.000652,-0.00084
+6.74933,0.005528,-0.001765,-0.002851,-0.000877
+6.76544,0.005235,-0.002768,-0.003872,-0.000904
+6.77043,0.005239,-0.003221,-0.004148,-0.000916
+6.77218,0.00525,-0.0034,-0.004238,-0.000921
+6.7978,0.005847,-0.006622,-0.005082,-0.001356
+6.82114,0.006864,-0.0079,-0.00513,-0.001664
+6.85068,0.008437,-0.003577,-0.004661,-0.001836
+6.87535,0.009723,-0.001153,-0.004164,-0.000977
+6.89633,0.0105,-4.8e-05,-0.003767,-0.000911
+6.90135,0.010586,0.000126,-0.003676,-0.0009
+6.90978,0.010563,0.000363,-0.003525,-0.000884
+6.9542,0.002236,0.000897,-0.00277,-0.000832
+7.05371,0.008399,0.000332,-0.001195,-0.000811
+7.06523,0.00846,0.000205,-0.001017,-0.000813
+7.12191,0.007267,-0.000456,-0.000245,-0.00083
+7.17787,0.005076,-0.001056,-0.000465,-0.000858
+7.26006,0.001978,-0.001757,-0.003847,-0.000911
+7.30951,0.000994,-0.002066,-0.003665,-0.000947
+7.33097,0.000967,-0.002173,-0.003476,-0.000964
+7.38247,0.002046,-0.002367,-0.0029,-0.000999
+7.38385,0.002097,-0.002371,-0.002883,-0.000972
+7.43893,0.004972,-0.002486,-0.002173,-0.00098
+7.49401,0.009135,-0.002531,-0.001466,-0.000988
+7.51187,0.010634,-0.002534,-0.001263,-0.00099
+7.52047,0.011364,-0.002534,-0.001176,-0.000991
+7.54688,0.013589,-0.002528,-0.00097,-0.000996
+7.60196,0.017753,-0.002494,-0.001149,-0.001004
+7.61329,0.01847,-0.002484,-0.001278,-0.001006
+7.65484,0.020546,-0.002442,-0.001196,-0.001012
+7.68324,0.021401,-0.002412,-0.000932,-0.001016
+7.68499,0.021438,-0.00241,-0.000914,-0.001016
\ No newline at end of file
diff --git a/validation/dam_break_2d/validation_dam_break_2d.jl b/validation/dam_break_2d/validation_dam_break_2d.jl
new file mode 100644
index 000000000..baf2c41b4
--- /dev/null
+++ b/validation/dam_break_2d/validation_dam_break_2d.jl
@@ -0,0 +1,162 @@
+
+include("../validation_util.jl")
+
+using TrixiParticles
+using JSON
+
+gravity = 9.81
+
+H = 0.6
+W = 2 * H
+tspan = (0.0, 8.0 / sqrt(gravity / H))
+
+# `particle_spacing` in this case is set relative to `H`, the initial height of the fluid.
+# Use H / 80, H / 320 for validation.
+# Note: H / 320 takes a few hours!
+particle_spacing = H / 40
+smoothing_length = 3.5 * particle_spacing
+smoothing_kernel = WendlandC2Kernel{2}()
+
+fluid_density = 1000.0
+sound_speed = 20 * sqrt(gravity * H)
+
+boundary_layers = 4
+spacing_ratio = 1
+boundary_particle_spacing = particle_spacing / spacing_ratio
+
+initial_fluid_size = (W, H)
+tank_size = (floor(5.366 * H / boundary_particle_spacing) * boundary_particle_spacing, 4.0)
+
+# The top of the sensors is at the position where the middle of the sensors is in the experiment.
+#
+# > Note, the probe position in the numerical setup does not exactly match the position in the experiment, but
+# > Greco [36] showed that this shift gives better agreement and reported several uncertainties in the
+# > measurements motivating this adjustment.
+# S. Adami, X. Y. Hu, N. A. Adams.
+# "A generalized wall boundary condition for smoothed particle hydrodynamics".
+# In: Journal of Computational Physics 231, 21 (2012), pages 7057--7075.
+# https://doi.org/10.1016/J.JCP.2012.05.005
+sensor_size = 0.009
+P1_y_top = 160 / 600 * H
+P1_y_bottom = P1_y_top - sensor_size
+P2_y_top = (160 + 424) / 600 * H
+P2_y_bottom = P2_y_top - sensor_size
+P3_y_top = (160 + 424 + 416) / 600 * H
+P3_y_bottom = P3_y_top - sensor_size
+
+sensor_names = ["P1", "P2", "P3"]
+
+tank_right_wall_x = floor(5.366 * H / particle_spacing) * particle_spacing -
+                    0.5 * particle_spacing
+
+pressure_P1 = (v, u, t, sys) -> interpolated_pressure([tank_right_wall_x, P1_y_top],
+                                                      [tank_right_wall_x, P1_y_bottom],
+                                                      v, u, t, sys)
+pressure_P2 = (v, u, t, sys) -> interpolated_pressure([tank_right_wall_x, P2_y_top],
+                                                      [tank_right_wall_x, P2_y_bottom],
+                                                      v, u, t, sys)
+pressure_P3 = (v, u, t, sys) -> interpolated_pressure([tank_right_wall_x, P3_y_top],
+                                                      [tank_right_wall_x, P3_y_bottom],
+                                                      v, u, t, sys)
+
+function max_x_coord(v, u, t, system)
+    return maximum(particle -> TrixiParticles.current_coords(u, system, particle)[1],
+                   TrixiParticles.eachparticle(system))
+end
+
+function interpolated_pressure(coord_top, coord_bottom, v, u, t, system)
+    sol = (; u=[(; x=(v, u))])
+    n_interpolation_points = 10
+    interpolated_values = interpolate_line(coord_top, coord_bottom,
+                                           n_interpolation_points, semi, system, sol,
+                                           smoothing_length=2.0 * system.smoothing_length,
+                                           clip_negative_pressure=true)
+    return sum(map(x -> isnan(x) ? 0.0 : x, interpolated_values.pressure)) /
+           n_interpolation_points
+end
+
+formatted_string = replace(string(particle_spacing), "." => "")
+
+# EDAC simulation
+############################################################################################
+method = "edac"
+postprocessing_cb = PostprocessCallback(; dt=0.02, output_directory="out",
+                                        filename="validation_result_dam_break_" *
+                                                 method * "_" * formatted_string,
+                                        write_csv=false, max_x_coord, pressure_P1,
+                                        pressure_P2, pressure_P3)
+
+tank_edac = RectangularTank(particle_spacing, initial_fluid_size, tank_size, fluid_density,
+                            n_layers=boundary_layers, spacing_ratio=spacing_ratio,
+                            acceleration=(0.0, -gravity), state_equation=nothing)
+
+alpha = 0.02
+viscosity_edac = ViscosityAdami(nu=alpha * smoothing_length * sound_speed / 8)
+fluid_system_edac = EntropicallyDampedSPHSystem(tank_edac.fluid, smoothing_kernel,
+                                                smoothing_length,
+                                                sound_speed, viscosity=viscosity_edac,
+                                                density_calculator=ContinuityDensity(),
+                                                pressure_acceleration=nothing,
+                                                acceleration=(0.0, -gravity))
+
+trixi_include(@__MODULE__, joinpath(examples_dir(), "fluid", "dam_break_2d.jl"),
+              fluid_particle_spacing=particle_spacing,
+              smoothing_length=smoothing_length, smoothing_kernel=smoothing_kernel,
+              boundary_layers=4, state_equation=nothing,
+              solution_prefix="validation_" * method * "_" * formatted_string,
+              extra_callback=postprocessing_cb, tspan=tspan,
+              fluid_system=fluid_system_edac, tank=tank_edac,
+              threaded_nhs_update=false) # To get the same results with different thread numbers
+
+reference_file_edac_name = joinpath(validation_dir(), "dam_break_2d",
+                                    "validation_reference_edac_$formatted_string.json")
+run_file_edac_name = joinpath("out",
+                              "validation_result_dam_break_edac_$formatted_string.json")
+
+reference_data = JSON.parsefile(reference_file_edac_name)
+run_data = JSON.parsefile(run_file_edac_name)
+
+error_edac_P1 = interpolated_mse(reference_data["pressure_P1_fluid_1"]["time"],
+                                 reference_data["pressure_P1_fluid_1"]["values"],
+                                 run_data["pressure_P1_fluid_1"]["time"],
+                                 run_data["pressure_P1_fluid_1"]["values"])
+
+error_edac_P2 = interpolated_mse(reference_data["pressure_P2_fluid_1"]["time"],
+                                 reference_data["pressure_P2_fluid_1"]["values"],
+                                 run_data["pressure_P2_fluid_1"]["time"],
+                                 run_data["pressure_P2_fluid_1"]["values"])
+
+# WCSPH simulation
+############################################################################################
+method = "wcsph"
+postprocessing_cb = PostprocessCallback(; dt=0.02, output_directory="out",
+                                        filename="validation_result_dam_break_" *
+                                                 method * "_" * formatted_string,
+                                        write_csv=false, max_x_coord, pressure_P1,
+                                        pressure_P2, pressure_P3)
+
+trixi_include(@__MODULE__, joinpath(examples_dir(), "fluid", "dam_break_2d.jl"),
+              fluid_particle_spacing=particle_spacing,
+              smoothing_length=smoothing_length, smoothing_kernel=smoothing_kernel,
+              boundary_layers=4,
+              solution_prefix="validation_" * method * "_" * formatted_string,
+              extra_callback=postprocessing_cb, tspan=tspan,
+              threaded_nhs_update=false) # To get the same results with different thread numbers
+
+reference_file_wcsph_name = joinpath(validation_dir(), "dam_break_2d",
+                                     "validation_reference_wcsph_$formatted_string.json")
+run_file_wcsph_name = joinpath("out",
+                               "validation_result_dam_break_wcsph_$formatted_string.json")
+
+reference_data = JSON.parsefile(reference_file_wcsph_name)
+run_data = JSON.parsefile(run_file_wcsph_name)
+
+error_wcsph_P1 = interpolated_mse(reference_data["pressure_P1_fluid_1"]["time"],
+                                  reference_data["pressure_P1_fluid_1"]["values"],
+                                  run_data["pressure_P1_fluid_1"]["time"],
+                                  run_data["pressure_P1_fluid_1"]["values"])
+
+error_wcsph_P2 = interpolated_mse(reference_data["pressure_P2_fluid_1"]["time"],
+                                  reference_data["pressure_P2_fluid_1"]["values"],
+                                  run_data["pressure_P2_fluid_1"]["time"],
+                                  run_data["pressure_P2_fluid_1"]["values"])
diff --git a/validation/dam_break_2d/validation_reference_edac_0001875.json b/validation/dam_break_2d/validation_reference_edac_0001875.json
new file mode 100644
index 000000000..c0bd126da
--- /dev/null
+++ b/validation/dam_break_2d/validation_reference_edac_0001875.json
@@ -0,0 +1,847 @@
+{
+    "pressure_P1_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            12.7359793055971,
+            28.5145237236281,
+            121.18168891145856,
+            316.403957811798,
+            672.8347524740096,
+            975.7435164971901,
+            1234.7711524201573,
+            1267.680802913088,
+            1325.9539878370165,
+            1369.2759819671567,
+            1350.4045030210407,
+            1486.383129259401,
+            1533.1394246949553,
+            1660.155468017621,
+            1743.1540612366239,
+            1883.4808330153646,
+            1968.8761154337378,
+            2055.5802596756357,
+            2272.252411907779,
+            2325.017625624002,
+            2344.031120910614,
+            2339.1747220108127,
+            2554.788413947325,
+            2558.8206401087564,
+            2561.4739343811502,
+            2673.201703494265,
+            2687.0498811013213,
+            2665.652476816712,
+            2796.719586397012,
+            2690.6854597061447,
+            2823.976655280274,
+            2773.888397659288,
+            2770.7246352561287,
+            2733.8073822998463,
+            2791.441447325751,
+            2758.279567000115,
+            2775.3420612807868,
+            2754.1897112804113,
+            2780.4439704978495,
+            2832.8226883106045,
+            2832.207096183353,
+            2919.172692602965,
+            2978.1005453219236,
+            3055.533747183998,
+            3115.2877143793003,
+            3304.5758576941566,
+            3716.945192978689,
+            4139.041856711153,
+            5089.9979516091435,
+            6784.711878272115,
+            5398.159733462215,
+            5383.433219097706,
+            5694.021068009453,
+            5567.551168262456,
+            5700.433087898954,
+            6512.9993263423485,
+            6921.981388579496,
+            2126.342769759701,
+            4818.481846720581,
+            2147.0886483178983,
+            2035.776595240432,
+            3286.8706549891367,
+            0.0,
+            183.40990436617943,
+            0.0,
+            240.28213505770492,
+            23.58938714055236,
+            8.693169047793514,
+            45.131256074044394
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "meta": {
+        "julia_version": "1.10.2",
+        "solver_version": "98fe4b85-dirty",
+        "solver_name": "TrixiParticles.jl"
+    },
+    "pressure_P2_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            21.472697885978445,
+            10.036855178405164,
+            17.953156099725824,
+            11.193310410622063,
+            15.83130169456302,
+            28.300612730060152,
+            23.415266211843004,
+            7.8618294949455905,
+            19.77745609502992,
+            6.78805576189078,
+            16.60577689715863,
+            15.765413654803334,
+            9.60572951183119,
+            38.139007072131825,
+            31.696665025734763,
+            77.87194738026172,
+            163.8658377974792,
+            180.69274449627062,
+            222.54545096994465,
+            267.3263578713369,
+            286.5018951603133,
+            384.4746403145662,
+            445.98342590607035,
+            575.2469414095979,
+            596.268916294803,
+            753.3967517055345,
+            846.4516642336127,
+            905.705056613858,
+            1027.3067437018638,
+            1133.7076645333389,
+            1261.3890568617142,
+            1368.9933149540043,
+            1451.027232035189,
+            1534.1833594826799,
+            1613.4690245827069,
+            1676.8665162894079,
+            1697.3325324590646,
+            1748.1514300345352,
+            1747.3641613490236,
+            1857.658956085584,
+            1431.5179859919629,
+            345.7287754717464,
+            22.280850379549335,
+            13.04647104615773,
+            19.835843255318192,
+            7.334800977648827,
+            2.2899246175283445,
+            5.707395070400249,
+            0.0,
+            0.0,
+            7.462732625470549,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "max_x_coord_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            1.1990625,
+            1.2063432940755658,
+            1.2250029680741252,
+            1.2530386861909606,
+            1.288380049164496,
+            1.3296514917312396,
+            1.3761229671532695,
+            1.4273044663017989,
+            1.4827926673621,
+            1.5422127863194253,
+            1.6052157918941716,
+            1.6714596553470806,
+            1.7406580805572875,
+            1.812374269690358,
+            1.8864315942123377,
+            1.9627470006302623,
+            2.041216921028526,
+            2.121617826397508,
+            2.203751516733095,
+            2.2876038129918603,
+            2.373149729066263,
+            2.46009044721456,
+            2.547933146106392,
+            2.636834633661893,
+            2.7269083994450263,
+            2.8180682120678515,
+            2.910233637533954,
+            3.003343213189532,
+            3.0971895719847193,
+            3.1915593646002023,
+            3.2196902197292787,
+            3.219119439082579,
+            3.219160083870915,
+            3.2188337175742134,
+            3.2188660956650565,
+            3.2188456697301047,
+            3.218791604574891,
+            3.218819504101484,
+            3.2188097432071134,
+            3.2188700523552267,
+            3.2187898253144627,
+            3.2188181722874565,
+            3.2188315383940687,
+            3.2188099963666703,
+            3.218788914955046,
+            3.2188087786969635,
+            3.218788151059705,
+            3.218818465460849,
+            3.2188210252066938,
+            3.218820071146196,
+            3.2187641750692,
+            3.2187894758955875,
+            3.21878178722089,
+            3.218787156513524,
+            3.2187741708911304,
+            3.2187372524939875,
+            3.218723777155505,
+            3.218801110338959,
+            3.2187595553187642,
+            3.218794551698227,
+            3.2189359364973846,
+            3.2189754134306097,
+            3.2187959457458852,
+            3.2187582476135965,
+            3.2187811787494365,
+            3.2187738977564107,
+            3.2187371959054767,
+            3.2187617001374567,
+            3.218770150918383,
+            3.2188413372559417,
+            3.2187391407868957,
+            3.2189228917502835,
+            3.2187628973469233,
+            3.218748622087054,
+            3.2187667204087425,
+            3.2188150192510254,
+            3.2187066040729677,
+            3.2187422551705183,
+            3.2188285350292256,
+            3.2187540013873512,
+            3.218817745001026,
+            3.218753323146198,
+            3.2190417019977278,
+            3.218902290859742,
+            3.21917334895788,
+            3.219890659836416,
+            3.220026541071697,
+            3.2193949673980007,
+            3.2198247605564982,
+            3.220694585297862,
+            3.22067370122762,
+            3.2206288665574703,
+            3.2205844767554037,
+            3.2209111988932424,
+            3.219942974737926,
+            3.219950820221985,
+            3.221179717942062,
+            3.220626177302738,
+            3.2206076584431527,
+            3.2206012236298225
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "pressure_P3_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            15.529277655179897,
+            12.81309061156936,
+            11.495076082392263,
+            16.74388970629975,
+            9.60944005771834,
+            5.502557441697027,
+            3.2002845914885194,
+            19.107397293757252,
+            3.4181356258315487,
+            12.434467294945737,
+            4.8763962142257125,
+            2.960353563187964,
+            4.528842104467208,
+            4.19743959199365,
+            4.3593462737199555,
+            1.9808774326465148,
+            2.2930486613951038,
+            1.2802765276810233,
+            0.8553600802283693,
+            1.2013864991905048,
+            0.9812959138648975,
+            2.9223327935557912,
+            3.6221245567188896,
+            10.69892561088472,
+            5.184896692900523,
+            3.7350019298198482,
+            8.366625185809166,
+            3.8411397481336578,
+            4.372304023877084,
+            13.618701695211328,
+            22.034252504158683,
+            9.524242299283609,
+            11.640219137102804,
+            8.59664828444686,
+            5.184157038067201,
+            2.8799668253121937,
+            13.032063157575939,
+            4.933994270495964,
+            9.780250778572684,
+            0.0,
+            0.0,
+            0.406470135144525,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    }
+}
\ No newline at end of file
diff --git a/validation/dam_break_2d/validation_reference_edac_00075.json b/validation/dam_break_2d/validation_reference_edac_00075.json
new file mode 100644
index 000000000..bd53415c1
--- /dev/null
+++ b/validation/dam_break_2d/validation_reference_edac_00075.json
@@ -0,0 +1,847 @@
+{
+    "pressure_P1_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            63.829505651630846,
+            220.30826119648836,
+            356.39160841531566,
+            535.516077453837,
+            963.5802099739906,
+            881.3573623650755,
+            1324.980773435947,
+            1333.3272539220463,
+            1299.4073738291438,
+            1333.2914543308548,
+            1453.4742215160632,
+            1644.1466295611085,
+            1786.0017052646526,
+            1781.3058297672237,
+            1898.829394763771,
+            1908.5607738029503,
+            2043.1272321029107,
+            2299.9805783396173,
+            2397.2803813327737,
+            2194.9681883855856,
+            2490.947559662288,
+            2464.2354854843725,
+            2567.5142907053973,
+            2509.8512859444154,
+            2802.7113346478886,
+            2601.3616867718347,
+            2725.748923436639,
+            2716.6396869340956,
+            2725.0700332563947,
+            2604.6917694756244,
+            2863.1584278286573,
+            2766.133568172541,
+            2778.5781481461536,
+            2682.5791033620744,
+            2785.9028160596604,
+            2795.2322853133,
+            2764.726744940796,
+            2717.46050450239,
+            2831.3719415971464,
+            2925.490108702938,
+            2979.583547611059,
+            3105.2850856824093,
+            3244.3856460898687,
+            3294.1171515493043,
+            3785.2292794318246,
+            3913.511788275557,
+            4531.301263579918,
+            5761.126046753425,
+            7519.351325972794,
+            4153.756277506261,
+            3279.8000230800862,
+            5688.623347209816,
+            5433.102770408339,
+            7597.346718048364,
+            5052.317899702394,
+            3116.5428328888825,
+            2349.516037719813,
+            1213.8474417759014,
+            650.7827228183571,
+            1865.2307953276857,
+            446.83827900878543,
+            1327.092311634857,
+            529.5215672655502,
+            1309.9510132813543,
+            861.8276663220553,
+            1527.4281446551856,
+            1394.2536482885102,
+            2036.0762266565296
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "meta": {
+        "julia_version": "1.10.2",
+        "solver_version": "98fe4b85-dirty",
+        "solver_name": "TrixiParticles.jl"
+    },
+    "pressure_P2_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            5.0282935721918545,
+            41.66902559762977,
+            16.195175000569556,
+            9.772190471505196,
+            56.784903933109135,
+            23.006398092933928,
+            13.765969200139901,
+            12.598747857884188,
+            11.712832468476293,
+            13.966219219297994,
+            14.100333535764658,
+            39.437277554825684,
+            43.5423194791,
+            16.231952571132442,
+            96.81208250744115,
+            128.9850320577453,
+            152.71711006265843,
+            170.3856803346461,
+            238.89851359304885,
+            305.98841083043874,
+            371.02145365540594,
+            461.8754645655811,
+            525.3023700444741,
+            677.4712733719313,
+            767.479320282582,
+            861.0047206691031,
+            991.6954099442231,
+            1090.8555925376113,
+            1128.8356302289744,
+            1445.7568270904444,
+            1479.4249349982256,
+            1475.1956396616933,
+            1584.4783609712804,
+            1639.2918017908673,
+            1726.2818799954275,
+            1792.8565787121727,
+            1900.00143514012,
+            1940.0073845390475,
+            1665.5954705697288,
+            1631.7514029572583,
+            694.5720280501272,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "max_x_coord_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            1.19625,
+            1.2023976467184008,
+            1.2179944997990482,
+            1.2432317106166832,
+            1.2768921158107565,
+            1.3174944089678398,
+            1.363773913458999,
+            1.4147586979970606,
+            1.4698590397345028,
+            1.5286639090988325,
+            1.590883005387329,
+            1.656242684041159,
+            1.7244429453366437,
+            1.7952163157185361,
+            1.8683754102276249,
+            1.9437962223600003,
+            2.021336588700605,
+            2.100786406989409,
+            2.1820406570528568,
+            2.2648743393364077,
+            2.3489210372982403,
+            2.434103799766087,
+            2.5205804045738502,
+            2.6082968893405742,
+            2.6971417538554188,
+            2.7866789792173656,
+            2.876522591465255,
+            2.9667925003714157,
+            3.0577166572369734,
+            3.1494195562105856,
+            3.2172367424978736,
+            3.217731452032734,
+            3.2176100586254948,
+            3.2178700938455798,
+            3.2174898133893666,
+            3.217267185894823,
+            3.2172536924069224,
+            3.217178702109812,
+            3.2169691406849776,
+            3.2168368639030445,
+            3.2167343156157084,
+            3.216642708903159,
+            3.2165359705888847,
+            3.216420106135052,
+            3.216315087121993,
+            3.216190326215446,
+            3.216086124722576,
+            3.2160385803340965,
+            3.216050053818234,
+            3.2160337820246196,
+            3.2159943819220134,
+            3.2159347008094636,
+            3.2159127074293994,
+            3.2161083211358203,
+            3.2162808850626914,
+            3.2164244345505755,
+            3.2165585437378996,
+            3.216654795235872,
+            3.2167269365074875,
+            3.216754375138281,
+            3.2167515055859415,
+            3.2167113688123066,
+            3.2168153500403998,
+            3.2168712431681596,
+            3.2168536846066127,
+            3.2168026454487033,
+            3.2167299797134388,
+            3.2166043221498684,
+            3.216397049710712,
+            3.216081168666742,
+            3.2157922944378425,
+            3.2156285236165765,
+            3.2154261368640507,
+            3.2153412042296288,
+            3.215305319578891,
+            3.2152944492058126,
+            3.215288739691573,
+            3.2157531909289943,
+            3.2152702645965245,
+            3.2152575344380456,
+            3.2163065921762928,
+            3.2164701917963145,
+            3.215482938016915,
+            3.215197010284924,
+            3.217028337267962,
+            3.215886930265487,
+            3.21745500028446,
+            3.2194509283015993,
+            3.2209682870062513,
+            3.2196219325073554,
+            3.21698451537636,
+            3.215699412041782,
+            3.216737459567915,
+            3.217914844950135,
+            3.218091583913962,
+            3.218082833508435,
+            3.218072479714611,
+            3.2180687378422013,
+            3.2180571470855797,
+            3.2180340698377394
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "pressure_P3_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            14.324062948361998,
+            0.0,
+            11.556323366686689,
+            19.897416547062722,
+            14.549414170009893,
+            37.376587539311515,
+            23.679461389760764,
+            26.23284934504549,
+            9.843110841979625,
+            15.047834587442887,
+            11.679194179286295,
+            10.421649034630363,
+            8.53145201559001,
+            8.231779655818643,
+            7.4710115038618525,
+            7.89190390537256,
+            7.4076574494687915,
+            7.094814898306931,
+            6.551896878368265,
+            5.657355192996434,
+            8.354870819924713,
+            6.5641582916196395,
+            11.620899941621703,
+            10.246057034822284,
+            47.32516861754617,
+            9.59894792866611,
+            9.923660936595967,
+            12.807942681526749,
+            9.741126570754219,
+            0.0,
+            0.0,
+            35.099437812161575,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    }
+}
\ No newline at end of file
diff --git a/validation/dam_break_2d/validation_reference_edac_0015.json b/validation/dam_break_2d/validation_reference_edac_0015.json
new file mode 100644
index 000000000..24757b07f
--- /dev/null
+++ b/validation/dam_break_2d/validation_reference_edac_0015.json
@@ -0,0 +1,847 @@
+{
+    "pressure_P1_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            604.3957582215899,
+            854.3064249696633,
+            806.7433554643078,
+            863.2834525307577,
+            1172.7188760376416,
+            1185.7354823999622,
+            1029.8194599143999,
+            1220.8424591423286,
+            1129.1130583244467,
+            1681.2917027879928,
+            1541.8470498978272,
+            1941.6817449062,
+            1703.3428527373653,
+            1820.7752456908524,
+            2273.61907013479,
+            2059.549527721113,
+            2492.4265793163177,
+            2431.891436605787,
+            2341.4127018992012,
+            2380.505662332444,
+            2476.6304162505776,
+            2377.2152352341263,
+            2407.6934010063724,
+            2621.6411341900084,
+            2604.6982173831625,
+            2546.399445810557,
+            2689.684321946729,
+            2654.6394300204142,
+            2815.3615097824277,
+            2642.321188486082,
+            2862.2882426968963,
+            2811.52377372663,
+            2800.9092542116946,
+            2952.956412783148,
+            2844.263845334785,
+            2874.303528967565,
+            2947.9713667109695,
+            2981.7363562084547,
+            3022.715296426873,
+            3095.8959184057803,
+            3223.2834166674697,
+            3438.1549404217467,
+            3461.6157573942837,
+            3889.5328111053327,
+            4764.835081898881,
+            6691.330625903637,
+            5937.573914006671,
+            6470.044187005868,
+            5114.121150798657,
+            3634.979008335772,
+            3802.039385890102,
+            2751.9598060963713,
+            2027.890808792743,
+            1718.7065304962896,
+            1535.5876413862059,
+            1382.3526450110292,
+            1479.4637909212727,
+            1636.5432932362105,
+            1580.8409259586185,
+            1362.2791052129037,
+            1307.4981915271765,
+            1483.094125847357,
+            1582.6083889647803,
+            3052.2515396988983,
+            34536.296819296316,
+            37.65056335694383
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "meta": {
+        "julia_version": "1.10.2",
+        "solver_version": "dcd1d2b1-dirty",
+        "solver_name": "TrixiParticles.jl"
+    },
+    "pressure_P2_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            1.4586145070841525,
+            35.23970220674348,
+            37.54572391444544,
+            13.731385167742658,
+            18.846457975737682,
+            19.8224841977086,
+            16.230770674916435,
+            56.876420772446885,
+            37.33671454315734,
+            78.42964736040615,
+            75.04969119915044,
+            166.61484088498904,
+            162.7352955160456,
+            281.7282268014637,
+            314.52179459013166,
+            297.23412867557687,
+            357.6400910860976,
+            448.6558207559398,
+            465.072910798512,
+            612.2401011562348,
+            751.9411583776679,
+            889.9451285845244,
+            1033.4736483837655,
+            1058.202206530216,
+            1247.2730240894725,
+            1414.0754260543076,
+            1588.386535262655,
+            1665.7826025761042,
+            1545.8294662391331,
+            1673.9628009744847,
+            1683.2228289778777,
+            1629.4962992741189,
+            1359.6993719827465,
+            887.91187263999,
+            1629.9983580422795,
+            1234.4717693503253,
+            2004.3258881084407,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "max_x_coord_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            1.1925,
+            1.1979624310701857,
+            1.2116593613380129,
+            1.234012919268563,
+            1.2647682353578247,
+            1.302960573952499,
+            1.3475843440024642,
+            1.3976361698571822,
+            1.4522199811561385,
+            1.510520947475266,
+            1.57214293886014,
+            1.6367982265986314,
+            1.7042518338466675,
+            1.7742937998709938,
+            1.8467352027968718,
+            1.9213758913869927,
+            1.9980351614993204,
+            2.076544579209514,
+            2.1566383641391065,
+            2.238003134643121,
+            2.3206381687170157,
+            2.4044919394042736,
+            2.489540630902278,
+            2.5757273488305,
+            2.6627522454913684,
+            2.7501950551381626,
+            2.837835825711921,
+            2.9257131544255777,
+            3.013897557214555,
+            3.102445768668488,
+            3.1914847216832074,
+            3.2105882666919,
+            3.2106025664774633,
+            3.210407075423367,
+            3.210274207277424,
+            3.210140068534914,
+            3.210439644792984,
+            3.2112884336091394,
+            3.2121208254868923,
+            3.2125141820856236,
+            3.212599029590728,
+            3.2119451344617342,
+            3.210893702477008,
+            3.2095320951690165,
+            3.208866042695388,
+            3.20871345061095,
+            3.208573760872467,
+            3.2083568996870384,
+            3.208389043560661,
+            3.208031877949919,
+            3.2079261547153943,
+            3.207855507755997,
+            3.207774119588862,
+            3.207706002731428,
+            3.2076706691657413,
+            3.2076288978754195,
+            3.2075941374177184,
+            3.2075586504257148,
+            3.2075368319522997,
+            3.2075265213627904,
+            3.210218793361137,
+            3.21269507520042,
+            3.2119664146378195,
+            3.2074630303747567,
+            3.2074452874588837,
+            3.2074252902484437,
+            3.2074042323916974,
+            3.207389539186995,
+            3.207376753579591,
+            3.2073732467888747,
+            3.207348313206412,
+            3.2076648180581375,
+            3.2073154618525073,
+            3.2078540055088123,
+            3.2085800521157415,
+            3.2072818774036778,
+            3.2072679757668348,
+            3.207248958752789,
+            3.2072243341066833,
+            3.2072195892028104,
+            3.2072071351452363,
+            3.207191617668054,
+            3.207167720999114,
+            3.207148223076407,
+            3.207125308504274,
+            3.2071076627463984,
+            3.2070796885516786,
+            3.2070631437453265,
+            3.207023980424339,
+            3.207002203054955,
+            3.2069578815542887,
+            3.206882240708725,
+            3.206818992733726,
+            3.2067228411656616,
+            3.2066412586740536,
+            3.206517043308112,
+            3.2063950957148974,
+            3.206329455325393,
+            3.206229289248847,
+            3.2061593054711017
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "pressure_P3_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            3.9648485713304686,
+            5.688115787444037,
+            5.021169068151417,
+            3.4690420734565928,
+            3.558737480081865,
+            3.1571728411890927,
+            3.002903034691488,
+            4.056831531943184,
+            6.550226833801881,
+            4.5706557048191865,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            13.988872277177816,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    }
+}
\ No newline at end of file
diff --git a/validation/dam_break_2d/validation_reference_wcsph_0001875.json b/validation/dam_break_2d/validation_reference_wcsph_0001875.json
new file mode 100644
index 000000000..b65acf655
--- /dev/null
+++ b/validation/dam_break_2d/validation_reference_wcsph_0001875.json
@@ -0,0 +1,847 @@
+{
+    "pressure_P1_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            45.784395004426884,
+            29.0963004807273,
+            82.09143011178865,
+            480.5173247987532,
+            973.3483022920233,
+            950.6415064448477,
+            1205.9391286167588,
+            1290.217132972779,
+            1493.2505500620105,
+            791.1303597083299,
+            1621.3332817032026,
+            1209.649967879809,
+            1450.1769634267432,
+            1667.706462908013,
+            2021.1368753192794,
+            2064.739712897202,
+            2257.648079488593,
+            2059.094957473553,
+            2005.5908178585112,
+            2245.7005690725623,
+            2144.823341827724,
+            2401.6276418260254,
+            2511.8101954813187,
+            2392.8729062435004,
+            2728.389883490009,
+            2453.68997501138,
+            2574.8103376583067,
+            2644.8208050406383,
+            2795.560194487943,
+            2760.374005463031,
+            2665.0826676713305,
+            2729.435007141164,
+            2781.3157684269163,
+            2626.429904341887,
+            2825.0779162423023,
+            2715.766574533961,
+            2850.599606872627,
+            2717.4272822426187,
+            2855.0549332258984,
+            2978.689965745355,
+            2976.375589014323,
+            2921.329964480744,
+            3030.587428212174,
+            3142.963554938571,
+            3064.474348949782,
+            3292.874691549051,
+            3592.4250266859026,
+            4290.388250924816,
+            5103.386394463199,
+            6745.91427044437,
+            5592.075646090989,
+            5198.727685514661,
+            5192.428024560253,
+            4810.974638781969,
+            4057.474362834096,
+            4982.9085809799635,
+            4326.893681724326,
+            2365.579225741909,
+            794.454920623942,
+            128.518422948347,
+            3802.146008868988,
+            0.0,
+            193.6041251795611,
+            155.5982729768126,
+            0.0,
+            0.0,
+            280.0329234725871,
+            2691.975566958315,
+            587.3786496564874
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "meta": {
+        "julia_version": "1.10.2",
+        "solver_version": "98fe4b85-dirty",
+        "solver_name": "TrixiParticles.jl"
+    },
+    "pressure_P2_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            8.134978657093146,
+            16.116098542012196,
+            14.366905888289647,
+            16.181410038300935,
+            9.851210123836067,
+            27.796007277259566,
+            11.17503157781834,
+            1.0934215179075044,
+            12.844439624904116,
+            5.940102595559185,
+            19.600847118274284,
+            38.053279321766254,
+            21.295762396264585,
+            12.976253972328617,
+            81.24650675781987,
+            34.479345653339756,
+            245.37183177529965,
+            306.79960278612987,
+            160.13536073045663,
+            315.6922797256672,
+            296.080651120703,
+            333.2708743720141,
+            513.4937918935809,
+            495.83807208024655,
+            520.7690916129709,
+            725.2386100241195,
+            858.3613537623429,
+            898.8101400627029,
+            1026.828064254389,
+            1190.5527204068717,
+            1260.8739368797535,
+            1379.7241579310062,
+            1441.7980954536122,
+            1477.007856603721,
+            1547.1434162566334,
+            1583.8840399538308,
+            1700.7432601788023,
+            1785.0753079682509,
+            1733.8949904850874,
+            1764.7490159275246,
+            1432.4338785761856,
+            395.27999913305814,
+            34.94150836405466,
+            24.900856184771346,
+            7.679262019233791,
+            28.035980801784653,
+            8.438531609013937,
+            8.387476071262533,
+            16.627723954709776,
+            16.034203643304302,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "max_x_coord_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            1.1990625,
+            1.206291218862206,
+            1.2251427920923224,
+            1.2533926435243583,
+            1.2887327249295564,
+            1.3298850673213958,
+            1.3762353875886921,
+            1.4273098662098027,
+            1.4826998207876958,
+            1.5420431133536183,
+            1.6049044398640613,
+            1.6709129699713863,
+            1.7398473740262257,
+            1.8114203023139126,
+            1.8854018187827515,
+            1.9616117463234828,
+            2.0398817409263104,
+            2.1200612626004065,
+            2.2020224091181038,
+            2.285594356795057,
+            2.370625789198274,
+            2.4569731709642886,
+            2.544597123506079,
+            2.633505929520998,
+            2.7236864465713833,
+            2.8147879428876723,
+            2.906985603226265,
+            3.000343813149392,
+            3.0938721073746325,
+            3.1880835992151018,
+            3.219445769851805,
+            3.2194928505759695,
+            3.218972846850055,
+            3.218850285198104,
+            3.2188789186256095,
+            3.218899343489275,
+            3.2188060714124114,
+            3.218805595407585,
+            3.2187922335479557,
+            3.2187791224898405,
+            3.2188049650925525,
+            3.218802965005493,
+            3.21874633513394,
+            3.218778527620756,
+            3.218787800086968,
+            3.21877763324876,
+            3.2187869503277957,
+            3.218801723646658,
+            3.2188059646005005,
+            3.218802904113761,
+            3.2187598378629003,
+            3.2187926829108324,
+            3.2187830153192003,
+            3.2187940663279653,
+            3.21887316742644,
+            3.2189410001275878,
+            3.218960821745065,
+            3.218969175054672,
+            3.219004759769721,
+            3.219034463808112,
+            3.2190504796248742,
+            3.2190521499490696,
+            3.219306855849682,
+            3.219525377857718,
+            3.2197256432100385,
+            3.2199100830560936,
+            3.2200888769402294,
+            3.220104092135281,
+            3.2196277874250585,
+            3.2196708582832905,
+            3.2192796817127145,
+            3.2189086136367777,
+            3.218969678322776,
+            3.21907942406814,
+            3.2190411300367785,
+            3.2188676944901733,
+            3.2188447959347966,
+            3.2189454004639897,
+            3.218944669941815,
+            3.218860166560762,
+            3.2187814287838155,
+            3.2188050298515645,
+            3.2187352008556602,
+            3.2187739282258416,
+            3.21912366161124,
+            3.2186659672343008,
+            3.220265299799684,
+            3.2189520703755012,
+            3.2207158761914387,
+            3.22006342847907,
+            3.2216900634986714,
+            3.221863805412857,
+            3.21992639788017,
+            3.22035809693605,
+            3.219768897432158,
+            3.220162312109093,
+            3.2199596621054885,
+            3.219830044932556,
+            3.219676592514716,
+            3.2200324616308778
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "pressure_P3_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            30.94820884379941,
+            22.90822490454815,
+            7.396807867640719,
+            7.414100503599705,
+            7.607592499293037,
+            8.584551268164507,
+            15.886168735323801,
+            17.583653786794144,
+            3.998937810844999,
+            26.61922910335046,
+            1.143643827251536,
+            2.827292135466822,
+            1.5729938238346048,
+            4.595785914798647,
+            2.9661048359859876,
+            0.279238435624049,
+            0.5856484421451172,
+            0.009552267527160834,
+            0.0010030857424828412,
+            3.720823736828451,
+            3.9029906118718665,
+            0.034405964785396745,
+            3.820213730523163,
+            8.931893089299567,
+            11.186430353660104,
+            4.365343796995128,
+            9.257621003118746,
+            8.875071770189836,
+            5.232857413378655,
+            35.57141974974755,
+            2.695571516358929,
+            0.2777628099152869,
+            4.869266502185761,
+            10.106394305611726,
+            4.6574265770569045,
+            4.788598767426367,
+            16.250354085392793,
+            31.4444062316207,
+            8.623685759947092,
+            20.213228683789133,
+            6.33056812306364,
+            0.0,
+            0.0,
+            20.32651578506585,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    }
+}
\ No newline at end of file
diff --git a/validation/dam_break_2d/validation_reference_wcsph_00075.json b/validation/dam_break_2d/validation_reference_wcsph_00075.json
new file mode 100644
index 000000000..2b415c07b
--- /dev/null
+++ b/validation/dam_break_2d/validation_reference_wcsph_00075.json
@@ -0,0 +1,847 @@
+{
+    "pressure_P1_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            58.34607670780366,
+            138.30780730090584,
+            422.4439168767831,
+            916.8364120975024,
+            419.06398575736984,
+            1347.417827563866,
+            2349.6255616253516,
+            1064.5393348074151,
+            27.317068325912476,
+            101.40177005737137,
+            781.1469021132997,
+            1397.141799265406,
+            1379.759513694514,
+            1194.2325124227586,
+            577.1087108938541,
+            835.985544221772,
+            3084.814615378419,
+            3315.6976314538865,
+            832.4717664353399,
+            2897.005749304349,
+            3002.164449326629,
+            1361.257691488331,
+            3857.591385230775,
+            1670.062910230366,
+            3151.308834774854,
+            3129.2187304687695,
+            979.7764644576539,
+            4547.292898341513,
+            2359.9991553519276,
+            926.182837379232,
+            3935.8020396511865,
+            4379.52352100003,
+            1722.4646619986313,
+            239.70093766679906,
+            2089.466442476288,
+            4483.323370640237,
+            5364.48776205749,
+            4475.9885720309485,
+            2627.998878339486,
+            1181.8674467133405,
+            649.6636140991379,
+            330.1142981716199,
+            345.0782726299165,
+            192.3883424307605,
+            179.4013719150344,
+            1136.3039269688265,
+            3826.440939852382,
+            7363.986736552375,
+            7195.6667823247935,
+            7394.382064105072,
+            6254.669285089546,
+            4209.599045337116,
+            6960.72634285375,
+            4403.324013800456,
+            1981.9578327450497,
+            766.6754384823071,
+            4585.4210989388175,
+            8579.806145402657,
+            1303.9255807328104,
+            850.3314028904712,
+            2149.0574314606965,
+            1119.63353117133,
+            1025.4664409249024,
+            2062.434608152032,
+            10.626963343280085,
+            2866.5242641333803,
+            1210.0747178019974,
+            1997.7373282796998
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "meta": {
+        "julia_version": "1.10.2",
+        "solver_version": "98fe4b85-dirty",
+        "solver_name": "TrixiParticles.jl"
+    },
+    "pressure_P2_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            20.31323871163639,
+            45.50619636076011,
+            6.167957730082405,
+            23.884709125644008,
+            4.43255918517901,
+            8.774110436930735,
+            8.963620141583254,
+            40.731562580934956,
+            13.241833317657427,
+            7.200450403202941,
+            35.88196312189998,
+            21.541443478575296,
+            3.65452867132935,
+            75.4427754124238,
+            201.09695963130483,
+            49.816202634048224,
+            255.57387598753877,
+            289.5116797564693,
+            267.79845001041633,
+            421.33924738849765,
+            518.9202572071249,
+            443.37050099785904,
+            640.6791984196514,
+            729.3057886088931,
+            708.2134106342477,
+            1025.235951022832,
+            1026.3999971246153,
+            1096.9087688994634,
+            1008.4260873388821,
+            1269.2640692741431,
+            1625.4501394880863,
+            1844.8915331962003,
+            1937.2541977002384,
+            1719.9451731647855,
+            1374.1398026925883,
+            1600.1725709745563,
+            1400.2678834762628,
+            1661.0115314501156,
+            1371.158183140062,
+            646.0660269386094,
+            168.90325590861573,
+            17.13050116673967,
+            0.0,
+            0.0,
+            0.0,
+            6.928117091969661,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "max_x_coord_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            1.19625,
+            1.2023151894699518,
+            1.2178047411946762,
+            1.243157491913713,
+            1.2770869973245222,
+            1.3179282960365564,
+            1.364441291682277,
+            1.415616412333505,
+            1.470830679860593,
+            1.5296724290345078,
+            1.5918075373727558,
+            1.6569645052768505,
+            1.7248666483318564,
+            1.7952375999021615,
+            1.8679490290611642,
+            1.942910014856134,
+            2.0200484369245837,
+            2.0991787194449247,
+            2.1799742972516323,
+            2.262067264672173,
+            2.3452911203047084,
+            2.429713872083454,
+            2.515361512205054,
+            2.602293896796202,
+            2.6906214381249502,
+            2.780398787100884,
+            2.871371035052104,
+            2.9631624013020352,
+            3.0557396096262015,
+            3.148099574918203,
+            3.217883381034535,
+            3.2182524076050694,
+            3.219035833332324,
+            3.2196638215078255,
+            3.219258579483189,
+            3.2183916128026855,
+            3.2182369934034982,
+            3.218223208202275,
+            3.2182163705155977,
+            3.2182383904949226,
+            3.2182285980567626,
+            3.218238344389985,
+            3.2182077455893454,
+            3.2182204186323973,
+            3.218170605256553,
+            3.218151520915598,
+            3.2181831831840575,
+            3.2182493485634134,
+            3.2181785938759218,
+            3.218188358844037,
+            3.2182324626442353,
+            3.2182142215753884,
+            3.2182264340719717,
+            3.2182064295006336,
+            3.218213596467143,
+            3.2182008193381617,
+            3.2182039410427405,
+            3.2182025004491424,
+            3.2181926479696,
+            3.2182003300356925,
+            3.218207646497285,
+            3.218209138192204,
+            3.218196212105352,
+            3.2182009245598135,
+            3.2181952111642214,
+            3.218212351556307,
+            3.2182122930292048,
+            3.218334624700235,
+            3.218585621943171,
+            3.2188865560695596,
+            3.2192019897484103,
+            3.219574328223231,
+            3.219582766932132,
+            3.218936057751625,
+            3.218203739651142,
+            3.218195663545464,
+            3.218195596720888,
+            3.2182126696027797,
+            3.2182138825029765,
+            3.2182016914355787,
+            3.2182146627037733,
+            3.2182120968881103,
+            3.2182004332757366,
+            3.218473417648065,
+            3.2182117733109865,
+            3.218198251815128,
+            3.218197262453762,
+            3.218223980447437,
+            3.2227801092805124,
+            3.2207859044320903,
+            3.218230016750645,
+            3.2182184991110523,
+            3.218208917822917,
+            3.2182016690447384,
+            3.221967175753277,
+            3.2219266041450023,
+            3.221972452578923,
+            3.2219639418722528,
+            3.221909307915254,
+            3.221972546583524
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "pressure_P3_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            48.777453004578454,
+            10.358152612197825,
+            15.049716723438971,
+            8.912878348810716,
+            3.1038473116339116,
+            9.08029215572343,
+            11.001309062044069,
+            4.389568308532413,
+            9.34597656525185,
+            8.215815969414672,
+            8.921424560673799,
+            11.548495006236983,
+            8.100275261058105,
+            6.463798001100874,
+            10.126510322875083,
+            3.5656525366383485,
+            9.936641893186898,
+            8.36706783034966,
+            6.531183179219712,
+            3.397637976308925,
+            4.301526347537932,
+            3.1626566693065383,
+            13.957194239542332,
+            2.355736919532164,
+            9.467443984066906,
+            15.268611565230216,
+            4.803212788857185,
+            17.17166030016114,
+            16.481158545172544,
+            35.126053887486044,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            6.527472931535234,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    }
+}
\ No newline at end of file
diff --git a/validation/dam_break_2d/validation_reference_wcsph_0015.json b/validation/dam_break_2d/validation_reference_wcsph_0015.json
new file mode 100644
index 000000000..3a3d2221e
--- /dev/null
+++ b/validation/dam_break_2d/validation_reference_wcsph_0015.json
@@ -0,0 +1,847 @@
+{
+    "pressure_P1_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            741.9939338248116,
+            1074.8234704502822,
+            780.1667963911615,
+            750.2648649048765,
+            1867.0876734094586,
+            2289.2233790766354,
+            1854.778595920126,
+            1898.4536968839027,
+            1467.7442216200166,
+            1634.062582456003,
+            1051.0175372038652,
+            1792.992475880798,
+            2224.4495761272037,
+            2072.49744240541,
+            1759.7942677800675,
+            2213.446522638474,
+            2195.8824872685705,
+            2296.936590368152,
+            2110.2619949482696,
+            2199.2839820790064,
+            2970.3733860698267,
+            2306.9379237499984,
+            2708.549145872953,
+            3000.178544197365,
+            2269.792696086254,
+            2084.4626138591966,
+            2584.8924415020083,
+            2922.9580586157217,
+            2700.961322015944,
+            2912.960202391661,
+            2333.093486494811,
+            2272.6997429718494,
+            2482.9264961596828,
+            2818.1473417252982,
+            2995.432486972956,
+            2909.3768298891655,
+            3100.77021995143,
+            3025.9649439094655,
+            3235.1990309725757,
+            3257.7483119248636,
+            2988.7945918465675,
+            3115.2094695758724,
+            3505.9426755013787,
+            3713.8656343932016,
+            4586.51617966487,
+            4512.604003095575,
+            6079.787376393051,
+            6651.042779454037,
+            5998.169882646548,
+            3485.069906443089,
+            810.5465351054376,
+            1498.1154610674191,
+            1280.9451536023262,
+            6123.104036824773,
+            1207.454673045513,
+            1872.428135603674,
+            345.5216355544876,
+            1190.3488951150066,
+            1160.696857170737,
+            1552.7750026162616,
+            2007.8328589553835,
+            1229.3505526363801,
+            941.7174210262225,
+            1420.6537905276475,
+            4080.222555513338,
+            774.1134490223096
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "meta": {
+        "julia_version": "1.10.2",
+        "solver_version": "dcd1d2b1",
+        "solver_name": "TrixiParticles.jl"
+    },
+    "pressure_P2_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            47.78581694313901,
+            44.38574442306553,
+            30.473857197402413,
+            8.477074724627595,
+            33.57951875059658,
+            1.8632501617021102,
+            22.444845391614827,
+            5.229751210510513,
+            12.452368822405496,
+            113.28031750326882,
+            16.872533929605122,
+            183.53117184170725,
+            124.91979697908702,
+            119.72035918066965,
+            157.18678733719997,
+            274.41224922147677,
+            366.928403397206,
+            436.7982051917158,
+            656.8646154705689,
+            693.6804508905344,
+            709.8624537628132,
+            940.2761580309083,
+            713.5961440910972,
+            1152.7121152728616,
+            1175.0856672128707,
+            1117.0740820240865,
+            1473.3118337985009,
+            1398.3788581542326,
+            1426.7186616370407,
+            1724.6680215045349,
+            1689.582829806212,
+            1716.4125370027475,
+            2313.2602797513496,
+            1548.2978703765393,
+            872.8096099036991,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "max_x_coord_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            1.1925,
+            1.1979096218668643,
+            1.2114046382489774,
+            1.233642069008528,
+            1.2644066208331137,
+            1.3028362471750408,
+            1.347675181367617,
+            1.3979265161874306,
+            1.4526822092129996,
+            1.5111470319630962,
+            1.5729272010563125,
+            1.6376619970447728,
+            1.7050782695517812,
+            1.774922235352398,
+            1.8470381017706874,
+            1.9214486425691797,
+            1.9977114877634126,
+            2.0756036806364517,
+            2.1548845384780377,
+            2.235402446374903,
+            2.317146330306623,
+            2.4000829664557464,
+            2.484138084380929,
+            2.5693227139746573,
+            2.6555845619869327,
+            2.7426282187297657,
+            2.830107717849038,
+            2.9177936457239837,
+            3.0055781193133417,
+            3.0934656910674185,
+            3.1819553106957805,
+            3.2108247664460037,
+            3.2113869376507562,
+            3.2114127786783255,
+            3.2114161066075466,
+            3.2113893826012587,
+            3.211426416730024,
+            3.2113609775292216,
+            3.21134242815772,
+            3.2113732404825783,
+            3.2114163514270784,
+            3.2115424540866804,
+            3.2114240008532415,
+            3.21133982171087,
+            3.211435764568252,
+            3.2114307576517303,
+            3.2113884470340004,
+            3.211430796900016,
+            3.21138905570089,
+            3.211385392690142,
+            3.211391389367187,
+            3.2113867220811616,
+            3.211314609628206,
+            3.2112229705963546,
+            3.211144904724678,
+            3.2110067641757443,
+            3.210911971600086,
+            3.2107740015910333,
+            3.2105999166679235,
+            3.210409429662026,
+            3.2101913618122015,
+            3.209950737465752,
+            3.2096723630110047,
+            3.209388535442989,
+            3.209054807974806,
+            3.2087189035854937,
+            3.2084002150370896,
+            3.2092529975678827,
+            3.210961614417827,
+            3.2087142145674608,
+            3.2078771017362766,
+            3.2099811740892332,
+            3.2099475931241868,
+            3.2057948825772176,
+            3.2053841685407347,
+            3.206091263909073,
+            3.205519339413853,
+            3.2060202862612424,
+            3.208319007154801,
+            3.2093695706812637,
+            3.2093274365942297,
+            3.2077697929876843,
+            3.2052776717641263,
+            3.204666763480492,
+            3.204935394911624,
+            3.205533549952792,
+            3.206955192729286,
+            3.205966890849804,
+            3.205813036921348,
+            3.2054758271429558,
+            3.2056931166230225,
+            3.2057049469317778,
+            3.205688541125392,
+            3.2056979581817227,
+            3.205641713595731,
+            3.207203044444701,
+            3.2078958675858784,
+            3.2077053880890443,
+            3.2064670429651616,
+            3.2020423230291524
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    },
+    "pressure_P3_fluid_1": {
+        "n_values": 100,
+        "time": [
+            0.0,
+            0.02,
+            0.04,
+            0.06,
+            0.08,
+            0.1,
+            0.12,
+            0.14,
+            0.16,
+            0.18,
+            0.2,
+            0.22,
+            0.24,
+            0.26,
+            0.28,
+            0.3,
+            0.32,
+            0.34,
+            0.36,
+            0.38,
+            0.4,
+            0.42,
+            0.44,
+            0.46,
+            0.48,
+            0.5,
+            0.52,
+            0.54,
+            0.56,
+            0.58,
+            0.6,
+            0.62,
+            0.64,
+            0.66,
+            0.68,
+            0.7000000000000001,
+            0.72,
+            0.74,
+            0.76,
+            0.78,
+            0.8,
+            0.8200000000000001,
+            0.84,
+            0.86,
+            0.88,
+            0.9,
+            0.92,
+            0.9400000000000001,
+            0.96,
+            0.98,
+            1.0,
+            1.02,
+            1.04,
+            1.06,
+            1.08,
+            1.1,
+            1.12,
+            1.1400000000000001,
+            1.16,
+            1.18,
+            1.2,
+            1.22,
+            1.24,
+            1.26,
+            1.28,
+            1.3,
+            1.32,
+            1.34,
+            1.36,
+            1.3800000000000001,
+            1.4000000000000001,
+            1.42,
+            1.44,
+            1.46,
+            1.48,
+            1.5,
+            1.52,
+            1.54,
+            1.56,
+            1.58,
+            1.6,
+            1.62,
+            1.6400000000000001,
+            1.6600000000000001,
+            1.68,
+            1.7,
+            1.72,
+            1.74,
+            1.76,
+            1.78,
+            1.8,
+            1.82,
+            1.84,
+            1.86,
+            1.8800000000000001,
+            1.9000000000000001,
+            1.92,
+            1.94,
+            1.96,
+            1.9784774673179917
+        ],
+        "system_name": "fluid",
+        "values": [
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            7.496013435689593,
+            4.405923582489511,
+            3.863763140478915,
+            5.608197870347884,
+            5.873367887336063,
+            8.085513458105599,
+            5.478876868208552,
+            4.599394355614402,
+            4.4993063713207775,
+            4.593781791458133,
+            4.183019826563516,
+            1.4104621904133992,
+            3.2046660479543077,
+            11.008713759804175,
+            5.743853671430627,
+            4.599785421280336,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            6.279733295239109,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0,
+            0.0
+        ],
+        "datatype": "Float64",
+        "type": "series"
+    }
+}
\ No newline at end of file
diff --git a/validation/oscillating_beam_2d/validation_oscillating_beam_2d.jl b/validation/oscillating_beam_2d/validation_oscillating_beam_2d.jl
index fff8c7b7c..8e6cc8340 100644
--- a/validation/oscillating_beam_2d/validation_oscillating_beam_2d.jl
+++ b/validation/oscillating_beam_2d/validation_oscillating_beam_2d.jl
@@ -42,8 +42,9 @@ sol = solve(ode, RDPK3SpFSAL49(), abstol=1e-8, reltol=1e-6, dt=1e-5,
             save_everystep=false, callback=callbacks)
 
 reference_file_name = joinpath(validation_dir(), "oscillating_beam_2d",
-                               "validation_reference_5.json")
-run_file_name = joinpath("out", "validation_run_oscillating_beam_2d_5.json")
+                               "validation_reference_$n_particles_beam_y.json")
+run_file_name = joinpath("out",
+                         "validation_run_oscillating_beam_2d_$n_particles_beam_y.json")
 
 reference_data = JSON.parsefile(reference_file_name)
 run_data = JSON.parsefile(run_file_name)
diff --git a/validation/validation_util.jl b/validation/validation_util.jl
index a6e20c834..01db69635 100644
--- a/validation/validation_util.jl
+++ b/validation/validation_util.jl
@@ -42,3 +42,25 @@ function extract_number_from_filename(filename)
     end
     return -1
 end
+
+function extract_resolution_from_filename(str)
+    str = match(r"\d+(?!.*\d)", str).match
+
+    # Remove leading zeros and count them
+    leading_zeros = length(match(r"^0*", str).match)
+    str_non_zero = replace(str, r"^0*" => "")
+
+    if isempty(str_non_zero)
+        return "0.0"
+    end
+
+    # Adjust string to have a decimal point at the correct position
+    if leading_zeros > 0
+        decimal_str = "0." * "0"^(leading_zeros - 1) * str_non_zero
+    else
+        decimal_str = str_non_zero
+    end
+
+    # Convert integer strings to float strings
+    return string(parse(Float64, decimal_str))
+end