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trixi-framework
GitHub Repository: trixi-framework/Trixi.jl
 Path: blob/main/examples/p4est_2d_dgsem/elixir_euler_shockcapturing_ec.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 = CompressibleEulerEquations2D(1.4)

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initial_condition = initial_condition_weak_blast_wave

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surface_flux = flux_ranocha

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volume_flux = flux_ranocha

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polydeg = 4

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basis = LobattoLegendreBasis(polydeg)

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indicator_sc = IndicatorHennemannGassner(equations, basis,

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                                         alpha_max = 1.0,

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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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solver = DGSEM(polydeg = polydeg, surface_flux = surface_flux,

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               volume_integral = volume_integral)

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

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coordinates_min = (-1.0, -1.0)

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coordinates_max = (1.0, 1.0)

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trees_per_dimension = (4, 4)

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mesh = P4estMesh(trees_per_dimension,

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                 polydeg = 4, initial_refinement_level = 2,

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                 coordinates_min = coordinates_min, coordinates_max = coordinates_max,

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                 periodicity = true)

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

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                                    boundary_conditions = boundary_condition_periodic)

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

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# ODE solvers, callbacks etc.

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tspan = (0.0, 2.0)

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ode = semidiscretize(semi, tspan)

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summary_callback = SummaryCallback()

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analysis_interval = 100

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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 = 100,

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                                     save_initial_solution = true,

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                                     save_final_solution = true,

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                                     solution_variables = cons2prim)

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stepsize_callback = StepsizeCallback(cfl = 1.0)

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callbacks = CallbackSet(summary_callback,

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                        analysis_callback,

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                        alive_callback,

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                        save_solution,

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                        stepsize_callback)

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

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# run the simulation

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sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false);

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            dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback

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

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