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trixi-framework
GitHub Repository: trixi-framework/Trixi.jl
 Path: blob/main/examples/p4est_3d_dgsem/elixir_navierstokes_freestream_boundaries.jl
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using OrdinaryDiffEqStabilizedRK

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using Trixi

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

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# semidiscretization of the compressible Euler equations

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equations = CompressibleEulerEquations3D(1.4)

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function initial_condition_const(x, t, equations)

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    RealT = eltype(x)

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    rho = 1

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    rho_v1 = convert(RealT, 0.1)

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    rho_v2 = convert(RealT, -0.2)

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    rho_v3 = convert(RealT, 0.7)

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    rho_e_total = 10

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    return SVector(rho, rho_v1, rho_v2, rho_v3, rho_e_total)

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end

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initial_condition = initial_condition_const

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polydeg = 3

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

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solver_parabolic = ParabolicFormulationBassiRebay1()

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mu() = 0.5

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prandtl_number() = 0.72

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equations_parabolic = CompressibleNavierStokesDiffusion3D(equations, mu = mu(),

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                                                          Prandtl = prandtl_number())

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

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# Get the uncurved mesh from a file (downloads the file if not available locally)

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default_mesh_file = joinpath(@__DIR__, "mesh_cube_with_boundaries.inp")

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isfile(default_mesh_file) ||

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    Trixi.download("https://gist.githubusercontent.com/DanielDoehring/710eab379fe3042dc08af6f2d1076e49/raw/38e9803bc0dab9b32a61d9542feac5343c3e6f4b/mesh_cube_with_boundaries.inp",

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                   default_mesh_file)

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mesh_file = default_mesh_file

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boundary_symbols = [:PhysicalSurface1, :PhysicalSurface2]

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mesh = P4estMesh{3}(mesh_file, polydeg = polydeg, initial_refinement_level = 0,

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                    boundary_symbols = boundary_symbols)

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boundary_conditions = (; PhysicalSurface1 = BoundaryConditionDirichlet(initial_condition),

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                       PhysicalSurface2 = BoundaryConditionDirichlet(initial_condition))

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semi = SemidiscretizationHyperbolicParabolic(mesh, (equations, equations_parabolic),

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                                             initial_condition,

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                                             solver; solver_parabolic,

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                                             boundary_conditions = (boundary_conditions,

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                                                                    boundary_conditions))

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

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# ODE solvers, callbacks etc.

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tspan = (0.0, 1.0)

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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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alive_callback = AliveCallback(analysis_interval = analysis_interval)

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callbacks = CallbackSet(summary_callback,

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                        analysis_callback, alive_callback)

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

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# run the simulation

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sol = solve(ode, ROCK4(max_stages = 8); adaptive = false, dt = 1e-3,

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            ode_default_options()..., callback = callbacks);

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