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examples/p4est_2d_dgsem/elixir_euler_weak_blast_wave_amr.jl
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using OrdinaryDiffEq | ||
using Trixi | ||
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############################################################################### | ||
# semidiscretization of the compressible Euler equations | ||
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equations = CompressibleEulerEquations2D(1.4) | ||
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function initial_condition_weak_blast_wave(x, t, equations::CompressibleEulerEquations2D) | ||
# Set up polar coordinates | ||
inicenter = SVector(0.0, 0.0) | ||
x_norm = x[1] - inicenter[1] | ||
y_norm = x[2] - inicenter[2] | ||
r = sqrt(x_norm^2 + y_norm^2) | ||
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r0 = 0.2 | ||
E = 1 | ||
p0_inner = 3 | ||
p0_outer = 1 | ||
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# Calculate primitive variables | ||
rho = 1.1 | ||
v1 = 0.0 | ||
v2 = 0.0 | ||
p = r > r0 ? p0_outer : p0_inner | ||
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return prim2cons(SVector(rho, v1, v2, p), equations) | ||
end | ||
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initial_condition = initial_condition_weak_blast_wave | ||
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# Get the DG approximation space | ||
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# Activate the shock capturing + flux differencing | ||
surface_flux = flux_lax_friedrichs | ||
volume_flux = flux_ranocha | ||
polydeg = 4 | ||
basis = LobattoLegendreBasis(polydeg) | ||
indicator_sc = IndicatorHennemannGassner(equations, basis, | ||
alpha_max = 0.5, | ||
alpha_min = 0.001, | ||
alpha_smooth = true, | ||
variable = density_pressure) | ||
volume_integral = VolumeIntegralShockCapturingHG(indicator_sc; | ||
volume_flux_dg = volume_flux, | ||
volume_flux_fv = surface_flux) | ||
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solver = DGSEM(polydeg = polydeg, surface_flux = surface_flux, | ||
volume_integral = volume_integral) | ||
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############################################################################### | ||
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# Affine type mapping to take the [-1,1]^2 domain | ||
# and warp it as described in https://arxiv.org/abs/2012.12040 | ||
# Warping with the coefficient 0.2 is even more extreme. | ||
function mapping_twist(xi, eta) | ||
y = eta + 0.125 * cos(1.5 * pi * xi) * cos(0.5 * pi * eta) | ||
x = xi + 0.125 * cos(0.5 * pi * xi) * cos(2.0 * pi * y) | ||
return SVector(x, y) | ||
end | ||
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# The mesh below can be made periodic | ||
# Create P4estMesh with 8 x 8 trees | ||
trees_per_dimension = (8, 8) | ||
mesh = P4estMesh(trees_per_dimension, polydeg = 4, | ||
mapping = mapping_twist, | ||
initial_refinement_level = 0, | ||
periodicity = true) | ||
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semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver) | ||
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############################################################################### | ||
# ODE solvers, callbacks etc. | ||
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tspan = (0.0, 1.2) | ||
ode = semidiscretize(semi, tspan) | ||
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summary_callback = SummaryCallback() | ||
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analysis_interval = 400 | ||
analysis_callback = AnalysisCallback(semi, interval = analysis_interval, | ||
save_analysis = true, | ||
extra_analysis_errors = (:conservation_error,)) | ||
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alive_callback = AliveCallback(analysis_interval = analysis_interval) | ||
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save_solution = SaveSolutionCallback(dt = 0.2, | ||
save_initial_solution = true, | ||
save_final_solution = true) | ||
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amr_indicator = IndicatorLöhner(semi, variable = Trixi.density) | ||
amr_controller = ControllerThreeLevel(semi, amr_indicator, | ||
base_level = 0, | ||
med_level = 1, med_threshold = 0.05, | ||
max_level = 2, max_threshold = 0.1) | ||
amr_callback = AMRCallback(semi, amr_controller, | ||
interval = 5, | ||
adapt_initial_condition = true, | ||
adapt_initial_condition_only_refine = true) | ||
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stepsize_callback = StepsizeCallback(cfl = 0.5) | ||
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callbacks = CallbackSet(summary_callback, | ||
analysis_callback, | ||
alive_callback, | ||
save_solution, | ||
amr_callback, | ||
stepsize_callback) | ||
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############################################################################### | ||
# run the simulation | ||
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sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false), | ||
dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback | ||
save_everystep = false, callback = callbacks);#, maxiters=4); | ||
summary_callback() # print the timer summary |
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examples/p4est_3d_dgsem/elixir_euler_weak_blast_wave_amr.jl
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using OrdinaryDiffEq | ||
using Trixi | ||
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############################################################################### | ||
# semidiscretization of the compressible Euler equations | ||
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equations = CompressibleEulerEquations3D(1.4) | ||
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function initial_condition_weak_blast_wave(x, t, | ||
equations::CompressibleEulerEquations3D) | ||
# Set up polar coordinates | ||
inicenter = SVector(0.0, 0.0, 0.0) | ||
x_norm = x[1] - inicenter[1] | ||
y_norm = x[2] - inicenter[2] | ||
z_norm = x[3] - inicenter[3] | ||
r = sqrt(x_norm^2 + y_norm^2 + z_norm^2) | ||
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r0 = 0.2 | ||
E = 1.0 | ||
p0_inner = 3 | ||
p0_outer = 1 | ||
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# Calculate primitive variables | ||
rho = 1.1 | ||
v1 = 0.0 | ||
v2 = 0.0 | ||
v3 = 0.0 | ||
p = r > r0 ? p0_outer : p0_inner | ||
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return prim2cons(SVector(rho, v1, v2, v3, p), equations) | ||
end | ||
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initial_condition = initial_condition_weak_blast_wave | ||
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surface_flux = flux_lax_friedrichs | ||
volume_flux = flux_ranocha | ||
polydeg = 4 | ||
basis = LobattoLegendreBasis(polydeg) | ||
indicator_sc = IndicatorHennemannGassner(equations, basis, | ||
alpha_max = 1.0, | ||
alpha_min = 0.001, | ||
alpha_smooth = true, | ||
variable = density_pressure) | ||
volume_integral = VolumeIntegralShockCapturingHG(indicator_sc; | ||
volume_flux_dg = volume_flux, | ||
volume_flux_fv = surface_flux) | ||
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solver = DGSEM(polydeg = polydeg, surface_flux = surface_flux, | ||
volume_integral = volume_integral) | ||
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# Setup a periodic mesh with 4 x 4 x 4 trees and 8 x 8 x 8 elements | ||
trees_per_dimension = (4, 4, 4) | ||
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# Affine type mapping to take the [-1,1]^3 domain | ||
# and warp it as described in https://arxiv.org/abs/2012.12040 | ||
function mapping_twist(xi, eta, zeta) | ||
y = eta + 1 / 6 * (cos(1.5 * pi * xi) * cos(0.5 * pi * eta) * cos(0.5 * pi * zeta)) | ||
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x = xi + 1 / 6 * (cos(0.5 * pi * xi) * cos(2 * pi * y) * cos(0.5 * pi * zeta)) | ||
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z = zeta + 1 / 6 * (cos(0.5 * pi * x) * cos(pi * y) * cos(0.5 * pi * zeta)) | ||
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return SVector(x, y, z) | ||
end | ||
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mesh = P4estMesh(trees_per_dimension, | ||
polydeg = 2, | ||
mapping = mapping_twist, | ||
initial_refinement_level = 1, | ||
periodicity = true) | ||
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# Create the semidiscretization object | ||
semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver) | ||
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############################################################################### | ||
# ODE solvers, callbacks etc. | ||
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tspan = (0.0, 1.0) | ||
ode = semidiscretize(semi, tspan) | ||
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summary_callback = SummaryCallback() | ||
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analysis_interval = 100 | ||
analysis_callback = AnalysisCallback(semi, interval = analysis_interval, | ||
extra_analysis_errors = (:conservation_error,)) | ||
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alive_callback = AliveCallback(analysis_interval = analysis_interval) | ||
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amr_indicator = IndicatorLöhner(semi, variable = Trixi.density) | ||
amr_controller = ControllerThreeLevel(semi, amr_indicator, | ||
base_level = 1, | ||
med_level = 2, med_threshold = 0.05, | ||
max_level = 3, max_threshold = 0.15) | ||
amr_callback = AMRCallback(semi, amr_controller, | ||
interval = 1, | ||
adapt_initial_condition = false, | ||
adapt_initial_condition_only_refine = false) | ||
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stepsize_callback = StepsizeCallback(cfl = 0.5) | ||
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callbacks = CallbackSet(summary_callback, | ||
analysis_callback, | ||
alive_callback, | ||
amr_callback, | ||
stepsize_callback) | ||
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############################################################################### | ||
# run the simulation | ||
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sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false), | ||
dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback | ||
save_everystep = false, callback = callbacks); | ||
summary_callback() # print the timer summary |
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114
examples/t8code_2d_dgsem/elixir_euler_weak_blast_wave_amr.jl
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,114 @@ | ||
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using OrdinaryDiffEq | ||
using Trixi | ||
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############################################################################### | ||
# semidiscretization of the compressible Euler equations | ||
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equations = CompressibleEulerEquations2D(1.4) | ||
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function initial_condition_weak_blast_wave(x, t, equations::CompressibleEulerEquations2D) | ||
# Set up polar coordinates | ||
inicenter = SVector(0.0, 0.0) | ||
x_norm = x[1] - inicenter[1] | ||
y_norm = x[2] - inicenter[2] | ||
r = sqrt(x_norm^2 + y_norm^2) | ||
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r0 = 0.2 | ||
E = 1 | ||
p0_inner = 3 | ||
p0_outer = 1 | ||
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# Calculate primitive variables | ||
rho = 1.1 | ||
v1 = 0.0 | ||
v2 = 0.0 | ||
p = r > r0 ? p0_outer : p0_inner | ||
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return prim2cons(SVector(rho, v1, v2, p), equations) | ||
end | ||
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initial_condition = initial_condition_weak_blast_wave | ||
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# Get the DG approximation space | ||
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# Activate the shock capturing + flux differencing | ||
surface_flux = flux_lax_friedrichs | ||
volume_flux = flux_ranocha | ||
polydeg = 4 | ||
basis = LobattoLegendreBasis(polydeg) | ||
indicator_sc = IndicatorHennemannGassner(equations, basis, | ||
alpha_max = 0.5, | ||
alpha_min = 0.001, | ||
alpha_smooth = true, | ||
variable = density_pressure) | ||
volume_integral = VolumeIntegralShockCapturingHG(indicator_sc; | ||
volume_flux_dg = volume_flux, | ||
volume_flux_fv = surface_flux) | ||
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solver = DGSEM(polydeg = polydeg, surface_flux = surface_flux, | ||
volume_integral = volume_integral) | ||
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# Affine type mapping to take the [-1,1]^2 domain | ||
# and warp it as described in https://arxiv.org/abs/2012.12040 | ||
# Warping with the coefficient 0.2 is even more extreme. | ||
function mapping_twist(xi, eta) | ||
y = eta + 0.125 * cos(1.5 * pi * xi) * cos(0.5 * pi * eta) | ||
x = xi + 0.125 * cos(0.5 * pi * xi) * cos(2.0 * pi * y) | ||
return SVector(x, y) | ||
end | ||
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# The mesh below can be made periodic | ||
# Create T8codeMesh with 8 x 8 trees | ||
trees_per_dimension = (8, 8) | ||
mesh = T8codeMesh(trees_per_dimension, polydeg = 4, | ||
mapping = mapping_twist, | ||
initial_refinement_level = 0, | ||
periodicity = true) | ||
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semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver) | ||
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############################################################################### | ||
# ODE solvers, callbacks etc. | ||
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tspan = (0.0, 1.2) | ||
ode = semidiscretize(semi, tspan) | ||
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summary_callback = SummaryCallback() | ||
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analysis_interval = 400 | ||
analysis_callback = AnalysisCallback(semi, interval = analysis_interval, | ||
save_analysis = true, | ||
extra_analysis_errors = (:conservation_error,)) | ||
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alive_callback = AliveCallback(analysis_interval = analysis_interval) | ||
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amr_indicator = IndicatorLöhner(semi, variable = Trixi.density) | ||
amr_controller = ControllerThreeLevel(semi, amr_indicator, | ||
base_level = 0, | ||
med_level = 1, med_threshold = 0.05, | ||
max_level = 2, max_threshold = 0.1) | ||
amr_callback = AMRCallback(semi, amr_controller, | ||
interval = 5, | ||
adapt_initial_condition = true, | ||
adapt_initial_condition_only_refine = true) | ||
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stepsize_callback = StepsizeCallback(cfl = 0.5) | ||
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callbacks = CallbackSet(summary_callback, | ||
analysis_callback, | ||
alive_callback, | ||
amr_callback, | ||
stepsize_callback) | ||
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############################################################################### | ||
# run the simulation | ||
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sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false), | ||
dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback | ||
save_everystep = false, callback = callbacks);#, maxiters=4); | ||
summary_callback() # print the timer summary | ||
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# Finalize `T8codeMesh` to make sure MPI related objects in t8code are | ||
# released before `MPI` finalizes. | ||
!isinteractive() && finalize(mesh) |
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