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trixi-framework
GitHub Repository: trixi-framework/Trixi.jl
 Path: blob/main/examples/tree_3d_dgsem/elixir_hypdiff_nonperiodic.jl
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using Trixi

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

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# semidiscretization of the hyperbolic diffusion equations

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equations = HyperbolicDiffusionEquations3D()

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initial_condition = initial_condition_poisson_nonperiodic

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boundary_conditions = (x_neg = boundary_condition_poisson_nonperiodic,

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                       x_pos = boundary_condition_poisson_nonperiodic,

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                       y_neg = boundary_condition_periodic,

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                       y_pos = boundary_condition_periodic,

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                       z_neg = boundary_condition_periodic,

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                       z_pos = boundary_condition_periodic)

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solver = DGSEM(polydeg = 4, surface_flux = flux_lax_friedrichs)

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coordinates_min = (0.0, 0.0, 0.0)

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coordinates_max = (1.0, 1.0, 1.0)

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mesh = TreeMesh(coordinates_min, coordinates_max,

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                initial_refinement_level = 2,

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                n_cells_max = 30_000,

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                periodicity = (false, true, true))

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

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                                    source_terms = source_terms_poisson_nonperiodic,

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                                    boundary_conditions = boundary_conditions)

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

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# ODE solvers, callbacks etc.

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tspan = (0.0, 5.0)

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ode = semidiscretize(semi, tspan)

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summary_callback = SummaryCallback()

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resid_tol = 1.0e-5

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steady_state_callback = SteadyStateCallback(abstol = resid_tol, reltol = 0.0)

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analysis_interval = 200

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analysis_callback = AnalysisCallback(semi, interval = analysis_interval,

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                                     extra_analysis_integrals = (entropy, energy_total))

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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 = 1.8)

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callbacks = CallbackSet(summary_callback, steady_state_callback,

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                        analysis_callback, 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 = Trixi.solve(ode, Trixi.HypDiffN3Erk3Sstar52();

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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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