elixir_euler_quasi_1d.jl

using OrdinaryDiffEqLowStorageRK
using Trixi

###############################################################################
# Semidiscretization of the quasi 1d compressible Euler equations
# See Chan et al.  https://doi.org/10.48550/arXiv.2307.12089 for details

equations = CompressibleEulerEquationsQuasi1D(1.4)

initial_condition = initial_condition_convergence_test

surface_flux = (flux_chan_etal, flux_nonconservative_chan_etal)
volume_flux = surface_flux
dg = DGMulti(polydeg = 4, element_type = Line(), approximation_type = SBP(),
             surface_integral = SurfaceIntegralWeakForm(surface_flux),
             volume_integral = VolumeIntegralFluxDifferencing(volume_flux))

cells_per_dimension = (8,)
mesh = DGMultiMesh(dg, cells_per_dimension,
                   coordinates_min = (-1.0,), coordinates_max = (1.0,), periodicity = true)
semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, dg;
                                    source_terms = source_terms_convergence_test)

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

tspan = (0.0, 2.0)
ode = semidiscretize(semi, tspan)

summary_callback = SummaryCallback()

analysis_interval = 100
analysis_callback = AnalysisCallback(semi, interval = analysis_interval, uEltype = real(dg))

alive_callback = AliveCallback(analysis_interval = analysis_interval)
save_solution = SaveSolutionCallback(interval = analysis_interval,
                                     solution_variables = cons2prim)
stepsize_callback = StepsizeCallback(cfl = 0.8)

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);