From 60d4d67b582782d5ed54c6ab3ad99b49590fc71f Mon Sep 17 00:00:00 2001 From: Sven Berger Date: Fri, 1 Mar 2024 19:00:57 +0100 Subject: [PATCH] Validation Oscillating Beam (#349) * add interpolation * basic working * support periodic * allow to define different smoothing_length * more precisely identify system regions * to improve accuracy calc shepard * add support for multiple points * add line interpolation * add doc * format * add test * small change to doc * revert accidental change * fix * another fix * format * format * also interpolate pressure and velocity * lower tolerance * add example plot * missing dependency * format * add func * add doc * add test * add another test * comment out example * remove pyplot again * fix * format * small update improve accuracy * update * up * fix * format * add JSON library * postprocess_callback * add rect_3d example * fix * format * impl * fixes * fix setting the interval * impl other functions * fix plots * fix plots.jl plot * cleanup * fix tests * cleanup * cleanup * fix docs * fix doc * remove unused func * remove unused code * fix * write missing values * replace incorrect nomenclature * calc von mises stress * rm comment * format * change docs to F * add test * format * fix merge * move files * include exclude bnd * add version info to meta data * fix * add filename and overwrite * write initial values * format * add helper function to obtain latest file * improve func * format * fix plots * rename * add doc * add exports * cleanup * cleanup * format * working example * add plot * also save the cauchy stress components * format * fix dt * fix * fix * fix viscosity * working 3d example for plane interpolation * add 2d plot as well for 3d case * add docs * fix tests * fix * fix plot * fix comments * fix comment * update * format * add Plots * fix * adjust plot * reduce time * add reference * add better digitized curves and error calc * performance optimization and some slight adjustment to improve error * format * update * format * add reference files * add CSV * add csv output * format * up * fixes * update * fix paths * fixes * review * review * change git * change type * remove mutable * add new example * change to plots.jl * increase the resolution * include into CI * move condition * add more output to summary box * update * remove DataEntry * update file structure * fix setup * fix plot * update * fix * update * format * review update * fix test * nvalue->n_values * fix * fixfix * add check for anonymous functions * fix test * remove unused 'using' * add simple test * fix using statements * ignore * format * fix ignore string * fix json reading in example * update * update based on review comments * format * change funcs to keyword args * fix docs * format * review comments * format * fix tests * fix test * format * review * format * fix plot * fix test * remove include * fix test * rm * move * add reference curves * fix plot * fix * add files * update * cleanup * format * update * cleanup plot * simplify plot * switch to makie * implement check * format * update to new reference * update * format * rename * remove the dependencies * remove dependencies * add 5 resolution back * format * use include * format * renaming * fix readme * fix test [skip ci] * [skip ci] remove save for compare * [skip ci] add tspan back * review comments * small fixes [skip ci] * update [skip ci] * rename [skip ci] * update [skip ci] * fix * exchange interpolation function * rename * exchange common time range find code * update reference file * update [skip ci] * format [skip ci] * update --------- Co-authored-by: Erik Faulhaber <44124897+efaulhaber@users.noreply.github.com> --- examples/fsi/falling_water_column_2d.jl | 3 +- examples/postprocessing/postprocessing.jl | 4 +- examples/solid/oscillating_beam_2d.jl | 49 +- src/TrixiParticles.jl | 2 +- .../total_lagrangian_sph/penalty_force.jl | 12 +- src/schemes/solid/total_lagrangian_sph/rhs.jl | 6 +- .../solid/total_lagrangian_sph/system.jl | 3 +- src/util.jl | 16 + .../{ => general}/investigate_relaxation.jl | 5 +- validation/oscillating_beam_2d/README.md | 9 + .../plot_oscillating_beam_results.jl | 80 + .../oscillating_beam_2d/reference_turek.csv | 2002 ++++++++ .../validation_oscillating_beam_2d.jl | 60 + .../validation_reference_21.json | 4031 +++++++++++++++++ .../validation_reference_35.json | 4031 +++++++++++++++++ .../validation_reference_5.json | 4031 +++++++++++++++++ .../validation_reference_9.json | 4031 +++++++++++++++++ validation/validation_util.jl | 44 + 18 files changed, 18376 insertions(+), 43 deletions(-) rename validation/{ => general}/investigate_relaxation.jl (97%) create mode 100644 validation/oscillating_beam_2d/README.md create mode 100644 validation/oscillating_beam_2d/plot_oscillating_beam_results.jl create mode 100644 validation/oscillating_beam_2d/reference_turek.csv create mode 100644 validation/oscillating_beam_2d/validation_oscillating_beam_2d.jl create mode 100644 validation/oscillating_beam_2d/validation_reference_21.json create mode 100644 validation/oscillating_beam_2d/validation_reference_35.json create mode 100644 validation/oscillating_beam_2d/validation_reference_5.json create mode 100644 validation/oscillating_beam_2d/validation_reference_9.json create mode 100644 validation/validation_util.jl diff --git a/examples/fsi/falling_water_column_2d.jl b/examples/fsi/falling_water_column_2d.jl index b4fa52836..430512e07 100644 --- a/examples/fsi/falling_water_column_2d.jl +++ b/examples/fsi/falling_water_column_2d.jl @@ -58,7 +58,8 @@ boundary_model = BoundaryModelMonaghanKajtar(k, spacing_ratio, particle_spacing, solid_system = TotalLagrangianSPHSystem(solid, smoothing_kernel, smoothing_length, - E, nu, boundary_model=boundary_model, + material.E, material.nu, + boundary_model=boundary_model, n_fixed_particles=nparticles(fixed_particles), acceleration=(0.0, -gravity)) diff --git a/examples/postprocessing/postprocessing.jl b/examples/postprocessing/postprocessing.jl index 0d49df736..b73da7b6d 100644 --- a/examples/postprocessing/postprocessing.jl +++ b/examples/postprocessing/postprocessing.jl @@ -13,7 +13,7 @@ function hello(v, u, t, system) # Value stored for output in the postprocessing output file return 2 * t end -example_cb = PostprocessCallback(; interval=10, hello) +example_cb = PostprocessCallback(; interval=10, hello, write_file_interval=0) trixi_include(@__MODULE__, joinpath(examples_dir(), "fluid", "hydrostatic_water_column_2d.jl"), @@ -21,7 +21,7 @@ trixi_include(@__MODULE__, # Lets write the average pressure and kinetic energy every 0.01s pp = PostprocessCallback(; dt=0.005, filename="example_pressure_ekin", avg_pressure, - kinetic_energy) + kinetic_energy, write_file_interval=0) trixi_include(@__MODULE__, joinpath(examples_dir(), "fluid", "hydrostatic_water_column_2d.jl"), diff --git a/examples/solid/oscillating_beam_2d.jl b/examples/solid/oscillating_beam_2d.jl index b542d5ed7..362b98c1e 100644 --- a/examples/solid/oscillating_beam_2d.jl +++ b/examples/solid/oscillating_beam_2d.jl @@ -10,36 +10,32 @@ n_particles_y = 5 gravity = 2.0 tspan = (0.0, 5.0) -length_beam = 0.35 -thickness = 0.02 +elastic_beam = (length=0.35, thickness=0.02) +material = (density=1000.0, E=1.4e6, nu=0.4) clamp_radius = 0.05 -material_density = 1000.0 - -# Young's modulus and Poisson ratio -E = 1.4e6 -nu = 0.4 # The structure starts at the position of the first particle and ends # at the position of the last particle. -particle_spacing = thickness / (n_particles_y - 1) +particle_spacing = elastic_beam.thickness / (n_particles_y - 1) # Add particle_spacing/2 to the clamp_radius to ensure that particles are also placed on the radius fixed_particles = SphereShape(particle_spacing, clamp_radius + particle_spacing / 2, - (0.0, thickness / 2), material_density, - cutout_min=(0.0, 0.0), cutout_max=(clamp_radius, thickness), + (0.0, elastic_beam.thickness / 2), material.density, + cutout_min=(0.0, 0.0), + cutout_max=(clamp_radius, elastic_beam.thickness), tlsph=true) n_particles_clamp_x = round(Int, clamp_radius / particle_spacing) # Beam and clamped particles -n_particles_per_dimension = (round(Int, length_beam / particle_spacing) + +n_particles_per_dimension = (round(Int, elastic_beam.length / particle_spacing) + n_particles_clamp_x + 1, n_particles_y) # Note that the `RectangularShape` puts the first particle half a particle spacing away # from the boundary, which is correct for fluids, but not for solids. # We therefore need to pass `tlsph=true`. beam = RectangularShape(particle_spacing, n_particles_per_dimension, - (0.0, 0.0), density=material_density, tlsph=true) + (0.0, 0.0), density=material.density, tlsph=true) solid = union(beam, fixed_particles) @@ -51,9 +47,10 @@ smoothing_length = 2 * sqrt(2) * particle_spacing smoothing_kernel = WendlandC2Kernel{2}() solid_system = TotalLagrangianSPHSystem(solid, smoothing_kernel, smoothing_length, - E, nu, + material.E, material.nu, n_fixed_particles=nparticles(fixed_particles), - acceleration=(0.0, -gravity)) + acceleration=(0.0, -gravity), + penalty_force=nothing) # ========================================================================================== # ==== Simulation @@ -63,26 +60,22 @@ ode = semidiscretize(semi, tspan) info_callback = InfoCallback(interval=100) # Track the position of the particle in the middle of the tip of the beam. -particle_id = Int(n_particles_per_dimension[1] * (n_particles_per_dimension[2] + 1) / 2) - -shift_x = beam.coordinates[1, particle_id] -shift_y = beam.coordinates[2, particle_id] +middle_particle_id = Int(n_particles_per_dimension[1] * (n_particles_per_dimension[2] + 1) / + 2) +startposition_x = beam.coordinates[1, middle_particle_id] +startposition_y = beam.coordinates[2, middle_particle_id] -function x_deflection(v, u, t, system) - particle_position = TrixiParticles.current_coords(u, system, particle_id) - - return particle_position[1] - shift_x +function deflection_x(v, u, t, system) + return system.current_coordinates[1, middle_particle_id] - startposition_x end -function y_deflection(v, u, t, system) - particle_position = TrixiParticles.current_coords(u, system, particle_id) - - return particle_position[2] - shift_y +function deflection_y(v, u, t, system) + return system.current_coordinates[2, middle_particle_id] - startposition_y end saving_callback = SolutionSavingCallback(dt=0.02, prefix="", - x_deflection=x_deflection, - y_deflection=y_deflection) + deflection_x=deflection_x, + deflection_y=deflection_y) callbacks = CallbackSet(info_callback, saving_callback) diff --git a/src/TrixiParticles.jl b/src/TrixiParticles.jl index bf93caaa2..86164a7e6 100644 --- a/src/TrixiParticles.jl +++ b/src/TrixiParticles.jl @@ -58,7 +58,7 @@ export BoundaryModelMonaghanKajtar, BoundaryModelDummyParticles, AdamiPressureEx PressureMirroring, PressureZeroing export BoundaryMovement export GridNeighborhoodSearch, TrivialNeighborhoodSearch -export examples_dir, trixi_include +export examples_dir, validation_dir, trixi_include export trixi2vtk export RectangularTank, RectangularShape, SphereShape export VoxelSphere, RoundSphere, reset_wall! diff --git a/src/schemes/solid/total_lagrangian_sph/penalty_force.jl b/src/schemes/solid/total_lagrangian_sph/penalty_force.jl index e4cb34588..8e21cb45a 100644 --- a/src/schemes/solid/total_lagrangian_sph/penalty_force.jl +++ b/src/schemes/solid/total_lagrangian_sph/penalty_force.jl @@ -52,16 +52,16 @@ struct PenaltyForceGanzenmueller{ELTYPE} end @inline function calc_penalty_force!(dv, particle, neighbor, initial_pos_diff, - initial_distance, system, + initial_distance, system, m_a, m_b, rho_a, rho_b, penalty_force::PenaltyForceGanzenmueller) - (; mass, material_density, young_modulus) = system + (; young_modulus) = system current_pos_diff = current_coords(system, particle) - current_coords(system, neighbor) current_distance = norm(current_pos_diff) - volume_particle = mass[particle] / material_density[particle] - volume_neighbor = mass[neighbor] / material_density[neighbor] + volume_particle = m_a / rho_a + volume_neighbor = m_b / rho_b kernel_weight = smoothing_kernel(system, initial_distance) @@ -76,9 +76,9 @@ end kernel_weight / initial_distance^2 * young_modulus * delta_sum * current_pos_diff / current_distance - for i in 1:ndims(system) + @inbounds for i in 1:ndims(system) # Divide force by mass to obtain acceleration - dv[i, particle] += f[i] / mass[particle] + dv[i, particle] += f[i] / m_a end return dv diff --git a/src/schemes/solid/total_lagrangian_sph/rhs.jl b/src/schemes/solid/total_lagrangian_sph/rhs.jl index 9ad3496cb..8b5ae7107 100644 --- a/src/schemes/solid/total_lagrangian_sph/rhs.jl +++ b/src/schemes/solid/total_lagrangian_sph/rhs.jl @@ -35,6 +35,7 @@ end grad_kernel = smoothing_kernel_grad(particle_system, initial_pos_diff, initial_distance) + m_a = particle_system.mass[particle] m_b = neighbor_system.mass[neighbor] dv_particle = m_b * @@ -42,12 +43,13 @@ end pk1_corrected(neighbor_system, neighbor) / rho_b^2) * grad_kernel - for i in 1:ndims(particle_system) + @inbounds for i in 1:ndims(particle_system) dv[i, particle] += dv_particle[i] end calc_penalty_force!(dv, particle, neighbor, initial_pos_diff, - initial_distance, particle_system, penalty_force) + initial_distance, particle_system, m_a, m_b, rho_a, rho_b, + penalty_force) # TODO continuity equation? end diff --git a/src/schemes/solid/total_lagrangian_sph/system.jl b/src/schemes/solid/total_lagrangian_sph/system.jl index bd9a086da..82ea5c3b7 100644 --- a/src/schemes/solid/total_lagrangian_sph/system.jl +++ b/src/schemes/solid/total_lagrangian_sph/system.jl @@ -383,7 +383,8 @@ end end @inline function calc_penalty_force!(dv, particle, neighbor, initial_pos_diff, - initial_distance, system, ::Nothing) + initial_distance, system, m_a, m_b, rho_a, rho_b, + ::Nothing) return dv end diff --git a/src/util.jl b/src/util.jl index 82fd1d431..2dc86a267 100644 --- a/src/util.jl +++ b/src/util.jl @@ -140,6 +140,22 @@ readdir(examples_dir()) """ examples_dir() = pkgdir(TrixiParticles, "examples") +""" + validation_dir() + +Return the directory where the validation files provided with TrixiParticles.jl are located. If TrixiParticles is +installed as a regular package (with `]add TrixiParticles`), these files are read-only and should *not* be +modified. To find out which files are available, use, e.g., `readdir`. + +Copied from [Trixi.jl](https://github.com/trixi-framework/Trixi.jl). + +# Examples +```@example +readdir(validation_dir()) +``` +""" +validation_dir() = pkgdir(TrixiParticles, "validation") + """ @autoinfiltrate @autoinfiltrate condition::Bool diff --git a/validation/investigate_relaxation.jl b/validation/general/investigate_relaxation.jl similarity index 97% rename from validation/investigate_relaxation.jl rename to validation/general/investigate_relaxation.jl index 1537059f6..fa692b5ef 100644 --- a/validation/investigate_relaxation.jl +++ b/validation/general/investigate_relaxation.jl @@ -6,11 +6,12 @@ using DataFrames using Printf pp_cb = PostprocessCallback(; ekin=kinetic_energy, max_pressure, avg_density, dt=0.025, - filename="relaxation", write_csv=false) + filename="relaxation", write_csv=false, write_file_interval=0) pp_damped_cb = PostprocessCallback(; ekin=kinetic_energy, max_pressure, avg_density, dt=0.025, - filename="relaxation_damped", write_csv=false) + filename="relaxation_damped", write_csv=false, + write_file_interval=0) trixi_include(@__MODULE__, joinpath(examples_dir(), "fluid", "hydrostatic_water_column_2d.jl"), diff --git a/validation/oscillating_beam_2d/README.md b/validation/oscillating_beam_2d/README.md new file mode 100644 index 000000000..008447998 --- /dev/null +++ b/validation/oscillating_beam_2d/README.md @@ -0,0 +1,9 @@ +The following files are provided here: + +1) Validation simulation: validation_oscillating_beam_2d.jl +2) Comparison with reference: compare_reference_oscillating_beam_results.jl +3) Comparison with TrixiParticles.jl and literature reference: plot_oscillating_beam_results.jl +4) TrixiParticles.jl reference files: validation_reference_[5, 9, 21, 35].j (5 is the default CI resolution, note that resolution 21 takes about 30-50 minutes while 35 takes about 4-6 hours) +5) Reference file reference_turek.csv extracted from the file csm3_l4_t0p005.point here: + https://wwwold.mathematik.tu-dortmund.de/~featflow/en/benchmarks/cfdbenchmarking/fsi_benchmark/fsi_tests/fsi_csm_tests.html + diff --git a/validation/oscillating_beam_2d/plot_oscillating_beam_results.jl b/validation/oscillating_beam_2d/plot_oscillating_beam_results.jl new file mode 100644 index 000000000..2393aaa33 --- /dev/null +++ b/validation/oscillating_beam_2d/plot_oscillating_beam_results.jl @@ -0,0 +1,80 @@ +include("../validation_util.jl") + +# Activate for interactive plot +# using GLMakie +using CairoMakie +using CSV +using DataFrames +using JSON +using Glob +using Printf +using TrixiParticles + +elastic_plate = (length=0.35, thickness=0.02) + +# Load the reference simulation data +ref = CSV.read(joinpath(validation_dir(), "oscillating_beam_2d/reference_turek.csv"), + DataFrame) + +# Get the list of JSON files +reference_files = glob("validation_reference_*.json", + joinpath(validation_dir(), "oscillating_beam_2d")) +simulation_files = glob("validation_run_oscillating_beam_2d_*.json", + joinpath(pkgdir(TrixiParticles), "out")) +merged_files = vcat(reference_files, simulation_files) +input_files = sort(merged_files, by=extract_number) + +# Regular expressions for matching keys +key_pattern_x = r"deflection_x_solid_\d+" +key_pattern_y = r"deflection_y_solid_\d+" + +# Setup for Makie plotting +fig = Figure(size=(1200, 800)) +ax1 = Axis(fig, title="X-Axis Displacement", xlabel="Time [s]", ylabel="X Displacement") +ax2 = Axis(fig, title="Y-Axis Displacement", xlabel="Time [s]", ylabel="Y Displacement") +fig[1, 1] = ax1 +fig[2, 1] = ax2 + +for file_name in input_files + println("Loading the input file: $file_name") + json_data = JSON.parsefile(file_name) + + resolution = parse(Int, split(split(file_name, "_")[end], ".")[1]) + particle_spacing = elastic_plate.thickness / (resolution - 1) + + matching_keys_x = sort(collect(filter(key -> occursin(key_pattern_x, key), + keys(json_data)))) + matching_keys_y = sort(collect(filter(key -> occursin(key_pattern_y, key), + keys(json_data)))) + + if isempty(matching_keys_x) + error("No matching keys found in: $file_name") + end + + label_prefix = occursin("reference", file_name) ? "Reference" : "" + + for (matching_keys, ax) in ((matching_keys_x, ax1), (matching_keys_y, ax2)) + for key in matching_keys + data = json_data[key] + times = Float64.(data["time"]) + displacements = Float64.(data["values"]) + + mse_results = occursin(key_pattern_x, key) ? + interpolated_mse(ref.time, ref.Ux, data["time"], displacements) : + interpolated_mse(ref.time, ref.Uy, data["time"], displacements) + + label = "$label_prefix dp = $(@sprintf("%.8f", particle_spacing)) mse=$(@sprintf("%.8f", mse_results))" + lines!(ax, times, displacements, label=label) + end + end +end + +# Plot reference data +lines!(ax1, ref.time, ref.Ux, color=:black, linestyle=:dash, + label="Turek and Hron 2006") +lines!(ax2, ref.time, ref.Uy, color=:black, linestyle=:dash, + label="Turek and Hron 2006") + +legend_ax1 = Legend(fig[1, 2], ax1) +legend_ax2 = Legend(fig[2, 2], ax2) +fig diff --git a/validation/oscillating_beam_2d/reference_turek.csv b/validation/oscillating_beam_2d/reference_turek.csv new file 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Sun, D. Le Touzé, A.-M. Zhang. +# "Study of a complex fluid-structure dam-breaking benchmark problem using a multi-phase SPH method with APR". +# In: Engineering Analysis with Boundary Elements 104 (2019), pages 240-258. +# https://doi.org/10.1016/j.enganabound.2019.03.033 +# and +# Turek S , Hron J. +# "Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow." +# In: Fluid-structure interaction. Springer; 2006. p. 371–85 . +# https://doi.org/10.1007/3-540-34596-5_15 + +include("../validation_util.jl") +using TrixiParticles +using OrdinaryDiffEq +using JSON + +tspan = (0, 10) + +# `n_particles_beam_y = 5` means that the beam is 5 particles thick. +# This number is used to set the resolution of the simulation. +# It has to be odd, so that a particle is exactly in the middle of the tip of the beam. +# Use 5, 9, 21, 35 for validation. +# Note: 35 takes a very long time! +n_particles_beam_y = 5 + +# Overwrite `sol` assignment to skip time integration +trixi_include(@__MODULE__, + joinpath(examples_dir(), "solid", "oscillating_beam_2d.jl"), + n_particles_y=n_particles_beam_y, sol=nothing, tspan=tspan, + penalty_force=PenaltyForceGanzenmueller(alpha=0.01)) + +pp_callback = PostprocessCallback(; deflection_x, deflection_y, dt=0.01, + output_directory="out", + filename="validation_run_oscillating_beam_2d_$n_particles_beam_y", + write_csv=false, write_file_interval=0) +info_callback = InfoCallback(interval=2500) +saving_callback = SolutionSavingCallback(dt=0.5, prefix="validation_$n_particles_beam_y") + +callbacks = CallbackSet(info_callback, saving_callback, pp_callback) + +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") + +reference_data = JSON.parsefile(reference_file_name) +run_data = JSON.parsefile(run_file_name) + +error_deflection_x = interpolated_mse(reference_data["deflection_x_solid_1"]["time"], + reference_data["deflection_x_solid_1"]["values"], + run_data["deflection_x_solid_1"]["time"], + run_data["deflection_x_solid_1"]["values"]) + +error_deflection_y = interpolated_mse(reference_data["deflection_y_solid_1"]["time"], + reference_data["deflection_y_solid_1"]["values"], + run_data["deflection_y_solid_1"]["time"], + run_data["deflection_y_solid_1"]["values"]) diff --git a/validation/oscillating_beam_2d/validation_reference_21.json b/validation/oscillating_beam_2d/validation_reference_21.json new file mode 100644 index 000000000..850af5b34 --- /dev/null +++ b/validation/oscillating_beam_2d/validation_reference_21.json @@ -0,0 +1,4031 @@ +{ + "meta": { + "julia_version": "1.10.1", + "solver_version": "c6184f4-dirty", + "solver_name": "TrixiParticles.jl" + }, + "deflection_y_solid_1": { + "n_values": 1001, + "time": [ + 0.0, + 0.01, + 0.02, + 0.03, + 0.04, + 0.05, + 0.06, + 0.07, + 0.08, + 0.09, + 0.1, + 0.11, + 0.12, + 0.13, + 0.14, + 0.15, + 0.16, + 0.17, + 0.18, + 0.19, + 0.2, + 0.21, + 0.22, + 0.23, + 0.24, + 0.25, + 0.26, + 0.27, + 0.28, + 0.29, + 0.3, + 0.31, + 0.32, + 0.33, + 0.34, + 0.35000000000000003, + 0.36, + 0.37, + 0.38, + 0.39, + 0.4, + 0.41000000000000003, + 0.42, + 0.43, + 0.44, + 0.45, + 0.46, + 0.47000000000000003, + 0.48, + 0.49, + 0.5, 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# Handle right boundary + i == lastindex(x) && return last(y) + + # Linear interpolation + slope = (y[i + 1] - y[i]) / (x[i + 1] - x[i]) + return y[i] + slope * (interpolation_point - x[i]) +end + +function interpolated_mse(reference_time, reference_values, simulation_time, + simulation_values) + if last(simulation_time) > last(reference_time) + @warn "simulation time range is larger than reference time range. " * + "Only checking values within reference time range." + end + # Remove reference time points outside the simulation time + start = searchsortedfirst(reference_time, first(simulation_time)) + end_ = searchsortedlast(reference_time, last(simulation_time)) + common_time_range = reference_time[start:end_] + + # Interpolate simulation data at the common time points + interpolated_values = [linear_interpolation(simulation_time, simulation_values, t) + for t in common_time_range] + + filtered_values = reference_values[start:end_] + + # Calculate MSE only over the common time range + mse = sum((interpolated_values .- filtered_values) .^ 2) / length(common_time_range) + return mse +end + +function extract_number_from_filename(filename) + # This regex matches the last sequence of digits in the filename + m = match(r"(\d+)(?!.*\d)", filename) + if m !== nothing + return parse(Int, m.captures[1]) + end + return -1 +end