elixir_eulermulti_convergence_ec.jl

using OrdinaryDiffEqLowStorageRK
using Trixi

###############################################################################
# semidiscretization of the compressible Euler multicomponent equations
equations = CompressibleEulerMulticomponentEquations2D(gammas = (1.4, 1.4),
                                                       gas_constants = (0.4, 0.4))

initial_condition = initial_condition_convergence_test

volume_flux = flux_ranocha
solver = DGSEM(polydeg = 3, surface_flux = flux_ranocha,
               volume_integral = VolumeIntegralFluxDifferencing(volume_flux))

cells_per_dimension = (16, 16)
coordinates_min = (-1.0, -1.0)
coordinates_max = (1.0, 1.0)
mesh = StructuredMesh(cells_per_dimension, coordinates_min, coordinates_max,
                      periodicity = true)

semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver;
                                    source_terms = source_terms_convergence_test,
                                    boundary_conditions = boundary_condition_periodic)

###############################################################################
# ODE solvers, callbacks etc.

tspan = (0.0, 0.4)
ode = semidiscretize(semi, tspan)

summary_callback = SummaryCallback()

analysis_interval = 100
analysis_callback = AnalysisCallback(semi, interval = analysis_interval)

alive_callback = AliveCallback(analysis_interval = analysis_interval)

save_solution = SaveSolutionCallback(interval = 100,
                                     save_initial_solution = true,
                                     save_final_solution = true,
                                     solution_variables = cons2prim)

stepsize_callback = StepsizeCallback(cfl = 0.5)

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

###############################################################################
# run the simulation

sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false);
            dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback
            ode_default_options()..., callback = callbacks);