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trixi-framework
GitHub Repository: trixi-framework/Trixi.jl
 Path: blob/main/examples/dgmulti_3d/elixir_euler_shockcapturing.jl
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using OrdinaryDiffEqLowStorageRK

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using Trixi

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###############################################################################

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# semidiscretization of the compressible Euler equations

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equations = CompressibleEulerEquations3D(1.4)

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initial_condition = initial_condition_weak_blast_wave

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surface_flux = flux_lax_friedrichs

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volume_flux = flux_ranocha

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polydeg = 3

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basis = DGMultiBasis(Hex(), polydeg, approximation_type = GaussSBP())

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indicator_sc = IndicatorHennemannGassner(equations, basis,

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                                         alpha_max = 0.5,

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                                         alpha_min = 0.001,

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                                         alpha_smooth = true,

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                                         variable = density_pressure)

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volume_integral = VolumeIntegralShockCapturingHG(indicator_sc;

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                                                 volume_flux_dg = volume_flux,

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                                                 volume_flux_fv = surface_flux)

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dg = DGMulti(basis,

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             surface_integral = SurfaceIntegralWeakForm(surface_flux),

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             volume_integral = volume_integral)

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cells_per_dimension = (4, 4, 4)

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mesh = DGMultiMesh(dg, cells_per_dimension;

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                   coordinates_min = (-2.0, -2.0, -2.0),

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                   coordinates_max = (2.0, 2.0, 2.0),

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                   periodicity = true)

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semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, dg;

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                                    boundary_conditions = boundary_condition_periodic)

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tspan = (0.0, 0.4)

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ode = semidiscretize(semi, tspan)

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summary_callback = SummaryCallback()

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alive_callback = AliveCallback(alive_interval = 10)

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analysis_interval = 100

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analysis_callback = AnalysisCallback(semi, interval = analysis_interval, uEltype = real(dg))

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save_solution = SaveSolutionCallback(interval = analysis_interval,

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                                     solution_variables = cons2prim)

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callbacks = CallbackSet(summary_callback, alive_callback, analysis_callback, save_solution)

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###############################################################################

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# run the simulation

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sol = solve(ode, RDPK3SpFSAL49(); abstol = 1.0e-6, reltol = 1.0e-6,

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            ode_default_options()..., callback = callbacks);

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