elixir_euler_weakform.jl

using OrdinaryDiffEqLowStorageRK
using Trixi

dg = DGMulti(polydeg = 3, element_type = Tri(), approximation_type = Polynomial(),
             surface_integral = SurfaceIntegralWeakForm(flux_hll),
             volume_integral = VolumeIntegralWeakForm())

equations = CompressibleEulerEquations2D(1.4)
initial_condition = initial_condition_convergence_test
source_terms = source_terms_convergence_test

# example where we tag two separate boundary segments of the mesh
top_boundary(x, tol = 50 * eps()) = abs(x[2] - 1) < tol
rest_of_boundary(x, tol = 50 * eps()) = !top_boundary(x, tol)
is_on_boundary = Dict(:top => top_boundary, :rest => rest_of_boundary)

cells_per_dimension = (8, 8)
mesh = DGMultiMesh(dg, cells_per_dimension, is_on_boundary = is_on_boundary)

boundary_condition_convergence_test = BoundaryConditionDirichlet(initial_condition)
boundary_conditions = (; :top => boundary_condition_convergence_test,
                       :rest => boundary_condition_convergence_test)

semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, dg,
                                    source_terms = source_terms,
                                    boundary_conditions = boundary_conditions)

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

summary_callback = SummaryCallback()
alive_callback = AliveCallback(alive_interval = 10)
analysis_interval = 100
analysis_callback = AnalysisCallback(semi, interval = analysis_interval, uEltype = real(dg))
stepsize_callback = StepsizeCallback(cfl = 1.5)
save_solution = SaveSolutionCallback(interval = analysis_interval,
                                     solution_variables = cons2prim)
callbacks = CallbackSet(summary_callback, alive_callback, stepsize_callback,
                        analysis_callback, save_solution)

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

sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false);
            dt = 0.5 * estimate_dt(mesh, dg),
            ode_default_options()...,
            callback = callbacks);