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Merge branch from subcell limiting p4est PR (#129)
Make sure I adapted everything correctly.
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102
examples/p4est_2d_dgsem/elixir_euler_sedov_blast_wave_sc_subcell.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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""" | ||
initial_condition_sedov_blast_wave(x, t, equations::CompressibleEulerEquations2D) | ||
The Sedov blast wave setup based on Flash | ||
- https://flash.rochester.edu/site/flashcode/user_support/flash_ug_devel/node187.html#SECTION010114000000000000000 | ||
""" | ||
function initial_condition_sedov_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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# Setup based on https://flash.rochester.edu/site/flashcode/user_support/flash_ug_devel/node187.html#SECTION010114000000000000000 | ||
r0 = 0.21875 # = 3.5 * smallest dx (for domain length=4 and max-ref=6) | ||
E = 1.0 | ||
p0_inner = 3 * (equations.gamma - 1) * E / (3 * pi * r0^2) | ||
p0_outer = 1.0e-5 # = true Sedov setup | ||
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# Calculate primitive variables | ||
rho = 1.0 | ||
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_sedov_blast_wave | ||
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# Get the DG approximation space | ||
surface_flux = flux_lax_friedrichs | ||
volume_flux = flux_ranocha | ||
polydeg = 3 | ||
basis = LobattoLegendreBasis(polydeg) | ||
limiter_idp = SubcellLimiterIDP(equations, basis; | ||
local_twosided_variables_cons = ["rho"], | ||
local_onesided_variables_nonlinear = [(Trixi.entropy_guermond_etal, | ||
min)], | ||
max_iterations_newton = 40, # Default value of 10 iterations is too low to fulfill bounds. | ||
bar_states = false) | ||
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volume_integral = VolumeIntegralSubcellLimiting(limiter_idp; | ||
volume_flux_dg = volume_flux, | ||
volume_flux_fv = surface_flux) | ||
solver = DGSEM(basis, surface_flux, volume_integral) | ||
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############################################################################### | ||
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coordinates_min = (-1.0, -1.0) | ||
coordinates_max = (1.0, 1.0) | ||
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trees_per_dimension = (4, 4) | ||
mesh = P4estMesh(trees_per_dimension, | ||
polydeg = polydeg, initial_refinement_level = 2, | ||
coordinates_min = coordinates_min, coordinates_max = coordinates_max, | ||
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, 3.0) | ||
ode = semidiscretize(semi, tspan) | ||
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summary_callback = SummaryCallback() | ||
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analysis_interval = 300 | ||
analysis_callback = AnalysisCallback(semi, interval = analysis_interval) | ||
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alive_callback = AliveCallback(analysis_interval = analysis_interval) | ||
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save_solution = SaveSolutionCallback(interval = 300, | ||
save_initial_solution = true, | ||
save_final_solution = 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, | ||
stepsize_callback) | ||
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############################################################################### | ||
# run the simulation | ||
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stage_callbacks = (SubcellLimiterIDPCorrection(), BoundsCheckCallback()) | ||
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sol = Trixi.solve(ode, Trixi.SimpleSSPRK33(stage_callbacks = stage_callbacks); | ||
dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback | ||
callback = callbacks); | ||
summary_callback() # print the timer summary |
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