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trixi-framework
GitHub Repository: trixi-framework/Trixi.jl
Path: blob/main/examples/tree_1d_dgsem/elixir_advection_amr.jl
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using OrdinaryDiffEqLowStorageRK
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using Trixi
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###############################################################################
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# semidiscretization of the linear advection equation
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advection_velocity = 1.0
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equations = LinearScalarAdvectionEquation1D(advection_velocity)
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initial_condition = initial_condition_gauss
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solver = DGSEM(polydeg = 3, surface_flux = flux_lax_friedrichs)
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coordinates_min = (-5.0,)
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coordinates_max = (5.0,)
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mesh = TreeMesh(coordinates_min, coordinates_max,
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initial_refinement_level = 4,
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n_cells_max = 30_000, 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, 10.0)
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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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extra_analysis_integrals = (entropy,))
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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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indicator_function(u, x, t) = u[1]
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amr_controller = ControllerThreeLevel(semi,
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IndicatorNodalFunction(indicator_function, semi),
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base_level = 4,
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med_level = 5, med_threshold = 0.1,
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max_level = 6, max_threshold = 0.6)
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amr_callback = AMRCallback(semi, amr_controller,
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interval = 5,
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adapt_initial_condition = true,
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adapt_initial_condition_only_refine = true)
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stepsize_callback = StepsizeCallback(cfl = 1.6)
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callbacks = CallbackSet(summary_callback,
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analysis_callback, alive_callback,
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save_solution,
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amr_callback, 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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