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test_parabolic_3d.jl
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module TestExamplesParabolic3D
using Test
using Trixi
include("test_trixi.jl")
# Start with a clean environment: remove Trixi.jl output directory if it exists
outdir = "out"
isdir(outdir) && rm(outdir, recursive = true)
@testset "SemidiscretizationHyperbolicParabolic (3D)" begin
#! format: noindent
@trixi_testset "DGMulti: elixir_navierstokes_convergence.jl" begin
@test_trixi_include(joinpath(examples_dir(), "dgmulti_3d",
"elixir_navierstokes_convergence.jl"),
cells_per_dimension=(4, 4, 4), tspan=(0.0, 0.1),
l2=[
0.0005532847115849239,
0.000659263490965341,
0.0007776436127362806,
0.0006592634909662951,
0.0038073628897809185,
],
linf=[
0.0017039861523615585,
0.002628561703560073,
0.003531057425112172,
0.0026285617036090336,
0.015587829540351095,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "DGMulti: elixir_navierstokes_convergence_curved.jl" begin
@test_trixi_include(joinpath(examples_dir(), "dgmulti_3d",
"elixir_navierstokes_convergence_curved.jl"),
cells_per_dimension=(4, 4, 4), tspan=(0.0, 0.1),
l2=[
0.0014027227251207474,
0.0021322235533273513,
0.0027873741447455194,
0.0024587473070627423,
0.00997836818019202,
],
linf=[
0.006341750402837576,
0.010306014252246865,
0.01520740250924979,
0.010968264045485565,
0.047454389831591115,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "DGMulti: elixir_navierstokes_taylor_green_vortex.jl" begin
@test_trixi_include(joinpath(examples_dir(), "dgmulti_3d",
"elixir_navierstokes_taylor_green_vortex.jl"),
cells_per_dimension=(4, 4, 4), tspan=(0.0, 0.25),
l2=[
0.0001825713444029892,
0.015589736382772248,
0.015589736382771884,
0.021943924667273653,
0.01927370280244222,
],
linf=[
0.0006268463584697681,
0.03218881662749007,
0.03218881662697948,
0.053872495395614256,
0.05183822000984151,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "TreeMesh3D: elixir_navierstokes_convergence.jl" begin
@test_trixi_include(joinpath(examples_dir(), "tree_3d_dgsem",
"elixir_navierstokes_convergence.jl"),
initial_refinement_level=2, tspan=(0.0, 0.1),
l2=[
0.0019582188528512257,
0.002653449504302844,
0.002898264205184629,
0.002653449504302853,
0.009511572365085706,
],
linf=[
0.013680656759085918,
0.0356910450154318,
0.023526343547736236,
0.035691045015431855,
0.11482570604041165,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "TreeMesh3D: elixir_navierstokes_convergence.jl (isothermal walls)" begin
@test_trixi_include(joinpath(examples_dir(), "tree_3d_dgsem",
"elixir_navierstokes_convergence.jl"),
initial_refinement_level=2, tspan=(0.0, 0.1),
heat_bc_top_bottom=Isothermal((x, t, equations) -> Trixi.temperature(initial_condition_navier_stokes_convergence_test(x,
t,
equations),
equations)),
l2=[
0.00195468651965362,
0.0026554367897028506,
0.002892730402724066,
0.002655436789702817,
0.009596351796609566,
],
linf=[
0.013680508110645473,
0.035673446359424356,
0.024024936779729028,
0.03567344635942474,
0.11839497110809383,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "TreeMesh3D: elixir_navierstokes_convergence.jl (Entropy gradient variables)" begin
@test_trixi_include(joinpath(examples_dir(), "tree_3d_dgsem",
"elixir_navierstokes_convergence.jl"),
initial_refinement_level=2, tspan=(0.0, 0.1),
gradient_variables=GradientVariablesEntropy(),
l2=[
0.0019770444875099307,
0.0026524750946399327,
0.00290860030832445,
0.0026524750946399396,
0.009509568981439294,
],
linf=[
0.01387936112914212,
0.03526260609304053,
0.023554197097368997,
0.035262606093040896,
0.11719963716509518,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "TreeMesh3D: elixir_navierstokes_convergence.jl (Entropy gradient variables, isothermal walls)" begin
@test_trixi_include(joinpath(examples_dir(), "tree_3d_dgsem",
"elixir_navierstokes_convergence.jl"),
initial_refinement_level=2, tspan=(0.0, 0.1),
gradient_variables=GradientVariablesEntropy(),
heat_bc_top_bottom=Isothermal((x, t, equations) -> Trixi.temperature(initial_condition_navier_stokes_convergence_test(x,
t,
equations),
equations)),
l2=[
0.001974631423398113,
0.002654768259143932,
0.002907031063651286,
0.002654768259143901,
0.009587792882971452,
],
linf=[
0.01387919380137137,
0.035244084526358944,
0.02398614622061363,
0.03524408452635828,
0.12005056512506407,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "TreeMesh3D: elixir_navierstokes_convergence.jl (flux differencing)" begin
@test_trixi_include(joinpath(examples_dir(), "tree_3d_dgsem",
"elixir_navierstokes_convergence.jl"),
initial_refinement_level=2, tspan=(0.0, 0.1),
volume_integral=VolumeIntegralFluxDifferencing(flux_central),
l2=[
0.0019582188528180213,
0.002653449504301736,
0.0028982642051960006,
0.0026534495043017384,
0.009511572364811033,
],
linf=[
0.013680656758949583,
0.035691045015224444,
0.02352634354676752,
0.035691045015223424,
0.11482570603751441,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "TreeMesh3D: elixir_navierstokes_convergence.jl (Refined mesh)" begin
@test_trixi_include(joinpath(examples_dir(), "tree_3d_dgsem",
"elixir_navierstokes_convergence.jl"),
tspan=(0.0, 0.0))
LLID = Trixi.local_leaf_cells(mesh.tree)
num_leaves = length(LLID)
@assert num_leaves % 16 == 0
Trixi.refine!(mesh.tree, LLID[1:Int(num_leaves / 16)])
tspan = (0.0, 0.25)
semi = SemidiscretizationHyperbolicParabolic(mesh, (equations, equations_parabolic),
initial_condition, solver;
boundary_conditions = (boundary_conditions,
boundary_conditions_parabolic),
source_terms = source_terms_navier_stokes_convergence_test)
ode = semidiscretize(semi, tspan)
analysis_callback = AnalysisCallback(semi, interval = analysis_interval)
callbacks = CallbackSet(summary_callback, alive_callback, analysis_callback)
sol = solve(ode, RDPK3SpFSAL49(); abstol = time_int_tol, reltol = time_int_tol,
dt = 1e-5,
ode_default_options()..., callback = callbacks)
l2_error, linf_error = analysis_callback(sol)
@test l2_error ≈ [
0.0003109336253407314,
0.0006473493036803503,
0.0007705277238213672,
0.0006280517917198335,
0.000903927789884075,
]
@test linf_error ≈ [
0.0023694155365339142,
0.010634932622402863,
0.006772070862236412,
0.010640551561726901,
0.019256819038719897,
]
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "TreeMesh3D: elixir_navierstokes_taylor_green_vortex.jl" begin
@test_trixi_include(joinpath(examples_dir(), "tree_3d_dgsem",
"elixir_navierstokes_taylor_green_vortex.jl"),
initial_refinement_level=2, tspan=(0.0, 0.25),
l2=[
0.00024173250389635442,
0.015684268393762454,
0.01568426839376248,
0.021991909545192333,
0.02825413672911425,
],
linf=[
0.0008410587892853094,
0.04740176181772552,
0.04740176181772507,
0.07483494924031157,
0.150181591534448,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "TreeMesh3D: elixir_navierstokes_taylor_green_vortex.jl (Refined mesh)" begin
@test_trixi_include(joinpath(examples_dir(), "tree_3d_dgsem",
"elixir_navierstokes_taylor_green_vortex.jl"),
tspan=(0.0, 0.0))
LLID = Trixi.local_leaf_cells(mesh.tree)
num_leaves = length(LLID)
@assert num_leaves % 32 == 0
Trixi.refine!(mesh.tree, LLID[1:Int(num_leaves / 32)])
tspan = (0.0, 0.1)
semi = SemidiscretizationHyperbolicParabolic(mesh, (equations, equations_parabolic),
initial_condition, solver)
ode = semidiscretize(semi, tspan)
analysis_callback = AnalysisCallback(semi, interval = analysis_interval,
save_analysis = true,
extra_analysis_integrals = (energy_kinetic,
energy_internal,
enstrophy))
callbacks = CallbackSet(summary_callback, alive_callback, analysis_callback)
# Use CarpenterKennedy2N54 since `RDPK3SpFSAL49` gives slightly different results on different machines
sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false),
dt = 5e-3,
save_everystep = false, callback = callbacks)
l2_error, linf_error = analysis_callback(sol)
@test l2_error ≈ [
7.314319856736271e-5,
0.006266480163542894,
0.006266489911815533,
0.008829222305770226,
0.0032859166842329228,
]
@test linf_error ≈ [
0.0002943968186086554,
0.013876261980614757,
0.013883619864959451,
0.025201279960491936,
0.018679364985388247,
]
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 100
@test (@allocated Trixi.rhs_parabolic!(du_ode, u_ode, semi, t)) < 100
end
end
@trixi_testset "P4estMesh3D: elixir_navierstokes_convergence.jl" begin
@test_trixi_include(joinpath(examples_dir(), "p4est_3d_dgsem",
"elixir_navierstokes_convergence.jl"),
initial_refinement_level=2, tspan=(0.0, 0.1),
l2=[
0.00026599105554982194,
0.000461877794472316,
0.0005424899076052261,
0.0004618777944723191,
0.0015846392581126832,
],
linf=[
0.0025241668929956163,
0.006308461681816373,
0.004334939663169113,
0.006308461681804009,
0.03176343480493493,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "P4estMesh3D: elixir_navierstokes_taylor_green_vortex.jl" begin
@test_trixi_include(joinpath(examples_dir(), "p4est_3d_dgsem",
"elixir_navierstokes_taylor_green_vortex.jl"),
initial_refinement_level=2, tspan=(0.0, 0.25),
l2=[
0.0001547509861140407,
0.015637861347119624,
0.015637861347119687,
0.022024699158522523,
0.009711013505930812,
],
linf=[
0.0006696415247340326,
0.03442565722527785,
0.03442565722577423,
0.06295407168705314,
0.032857472756916195,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "TreeMesh3D: elixir_advection_diffusion_amr.jl" begin
@test_trixi_include(joinpath(examples_dir(), "tree_3d_dgsem",
"elixir_advection_diffusion_amr.jl"),
l2=[0.000355780485397024],
linf=[0.0010810770271614256])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "TreeMesh3D: elixir_advection_diffusion_nonperiodic.jl" begin
@test_trixi_include(joinpath(examples_dir(), "tree_3d_dgsem",
"elixir_advection_diffusion_nonperiodic.jl"),
l2=[0.0009808996243280868],
linf=[0.01732621559135459])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "P4estMesh3D: elixir_navierstokes_taylor_green_vortex_amr.jl" begin
@test_trixi_include(joinpath(examples_dir(), "p4est_3d_dgsem",
"elixir_navierstokes_taylor_green_vortex_amr.jl"),
initial_refinement_level=0, tspan=(0.0, 0.5),
l2=[
0.0016588740573444188,
0.03437058632045721,
0.03437058632045671,
0.041038898400430075,
0.30978593009044153,
],
linf=[
0.004173569912012121,
0.09168674832979556,
0.09168674832975021,
0.12129218723807476,
0.8433893297612087,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
@trixi_testset "P4estMesh3D: elixir_navierstokes_blast_wave_amr.jl" begin
@test_trixi_include(joinpath(examples_dir(), "p4est_3d_dgsem",
"elixir_navierstokes_blast_wave_amr.jl"),
tspan=(0.0, 0.01),
l2=[
0.009472104410520866, 0.0017883742549557149,
0.0017883742549557147, 0.0017883742549557196,
0.024388540048562748,
],
linf=[
0.6782397526873181, 0.17663702154066238,
0.17663702154066266, 0.17663702154066238, 1.7327849844825238,
])
# Ensure that we do not have excessive memory allocations
# (e.g., from type instabilities)
let
t = sol.t[end]
u_ode = sol.u[end]
du_ode = similar(u_ode)
@test (@allocated Trixi.rhs!(du_ode, u_ode, semi, t)) < 1000
end
end
end
# Clean up afterwards: delete Trixi.jl output directory
@test_nowarn isdir(outdir) && rm(outdir, recursive = true)
end # module