25071984038

Committed 28 Apr 2026 06:59PM UTC coverage: 82.771% (-14.4%) from 97.129%

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set development version to v0.16.7-DEV

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/examples/t8code_2d_dgsem/elixir_euler_source_terms_nonconforming_unstructured_flag.jl

using OrdinaryDiffEqLowStorageRK
using Trixi

###############################################################################
# semidiscretization of the compressible Euler equations

equations = CompressibleEulerEquations2D(1.4)

initial_condition = initial_condition_convergence_test

source_terms = source_terms_convergence_test

boundary_condition = BoundaryConditionDirichlet(initial_condition)
boundary_conditions = (; all = boundary_condition,)

# Up to version 0.13.0, `max_abs_speed_naive` was used as the default wave speed estimate of
# `const flux_lax_friedrichs = FluxLaxFriedrichs(), i.e., `FluxLaxFriedrichs(max_abs_speed = max_abs_speed_naive)`.
# In the `StepsizeCallback`, though, the less diffusive `max_abs_speeds` is employed which is consistent with `max_abs_speed`.
# Thus, we exchanged in PR#2458 the default wave speed used in the LLF flux to `max_abs_speed`.
# To ensure that every example still runs we specify explicitly `FluxLaxFriedrichs(max_abs_speed_naive)`.
# We remark, however, that the now default `max_abs_speed` is in general recommended due to compliance with the
# `StepsizeCallback` (CFL-Condition) and less diffusion.
solver = DGSEM(polydeg = 3, surface_flux = FluxLaxFriedrichs(max_abs_speed_naive))

# Deformed rectangle that looks like a waving flag,
# lower and upper faces are sinus curves, left and right are vertical lines.
f1(s) = SVector(-1.0, s - 1.0)
f2(s) = SVector(1.0, s + 1.0)
f3(s) = SVector(s, -1.0 + sin(0.5 * pi * s))
f4(s) = SVector(s, 1.0 + sin(0.5 * pi * s))
faces = (f1, f2, f3, f4)

Trixi.validate_faces(faces)
mapping_flag = Trixi.transfinite_mapping(faces)

# Get the uncurved mesh from a file (downloads the file if not available locally)
# Unstructured mesh with 24 cells of the square domain [-1, 1]^n
mesh_file = Trixi.download("https://gist.githubusercontent.com/efaulhaber/63ff2ea224409e55ee8423b3a33e316a/raw/7db58af7446d1479753ae718930741c47a3b79b7/square_unstructured_2.inp",
                           joinpath(@__DIR__, "square_unstructured_2.inp"))

mesh = T8codeMesh(mesh_file, 2; polydeg = 3,
                  mapping = mapping_flag,
                  initial_refinement_level = 1)

function adapt_callback(forest, ltreeid, eclass_scheme, lelemntid, elements, is_family,
                        user_data)
    vertex = Vector{Cdouble}(undef, 3)

    Trixi.t8_element_vertex_reference_coords(eclass_scheme, elements[1], 0, pointer(vertex))

    level = Trixi.t8_element_level(eclass_scheme, elements[1])

    # TODO: Make this condition more general.
    if vertex[1] < 1e-8 && vertex[2] < 1e-8 && level < 2
        # return true (refine)
        return 1
    else
        # return false (don't refine)
        return 0
    end
end

Trixi.adapt!(mesh, adapt_callback)

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

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

tspan = (0.0, 1.0)
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_restart = SaveRestartCallback(interval = 100,
                                   save_final_restart = true)

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

stepsize_callback = StepsizeCallback(cfl = 0.8)

callbacks = CallbackSet(summary_callback,
                        analysis_callback, alive_callback,
                        save_restart, 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);

1	using OrdinaryDiffEqLowStorageRK
2	using Trixi
3
4	###############################################################################
5	# semidiscretization of the compressible Euler equations
6
7	equations = CompressibleEulerEquations2D(1.4)
8
9	initial_condition = initial_condition_convergence_test
10
11	source_terms = source_terms_convergence_test
12
13	boundary_condition = BoundaryConditionDirichlet(initial_condition)
14	boundary_conditions = (; all = boundary_condition,)
15
16	# Up to version 0.13.0, `max_abs_speed_naive` was used as the default wave speed estimate of
17	# `const flux_lax_friedrichs = FluxLaxFriedrichs(), i.e., `FluxLaxFriedrichs(max_abs_speed = max_abs_speed_naive)`.
18	# In the `StepsizeCallback`, though, the less diffusive `max_abs_speeds` is employed which is consistent with `max_abs_speed`.
19	# Thus, we exchanged in PR#2458 the default wave speed used in the LLF flux to `max_abs_speed`.
20	# To ensure that every example still runs we specify explicitly `FluxLaxFriedrichs(max_abs_speed_naive)`.
21	# We remark, however, that the now default `max_abs_speed` is in general recommended due to compliance with the
22	# `StepsizeCallback` (CFL-Condition) and less diffusion.
23	solver = DGSEM(polydeg = 3, surface_flux = FluxLaxFriedrichs(max_abs_speed_naive))
24
25	# Deformed rectangle that looks like a waving flag,
26	# lower and upper faces are sinus curves, left and right are vertical lines.
27	f1(s) = SVector(-1.0, s - 1.0)	×
28	f2(s) = SVector(1.0, s + 1.0)	×
29	f3(s) = SVector(s, -1.0 + sin(0.5 * pi * s))	×
30	f4(s) = SVector(s, 1.0 + sin(0.5 * pi * s))	×
31	faces = (f1, f2, f3, f4)
32
33	Trixi.validate_faces(faces)
34	mapping_flag = Trixi.transfinite_mapping(faces)
35
36	# Get the uncurved mesh from a file (downloads the file if not available locally)
37	# Unstructured mesh with 24 cells of the square domain [-1, 1]^n
38	mesh_file = Trixi.download("https://gist.githubusercontent.com/efaulhaber/63ff2ea224409e55ee8423b3a33e316a/raw/7db58af7446d1479753ae718930741c47a3b79b7/square_unstructured_2.inp",
39	joinpath(@__DIR__, "square_unstructured_2.inp"))
40
41	mesh = T8codeMesh(mesh_file, 2; polydeg = 3,
42	mapping = mapping_flag,
43	initial_refinement_level = 1)
44
45	function adapt_callback(forest, ltreeid, eclass_scheme, lelemntid, elements, is_family,	×
46	user_data)
47	vertex = Vector{Cdouble}(undef, 3)	×
48
49	Trixi.t8_element_vertex_reference_coords(eclass_scheme, elements[1], 0, pointer(vertex))	×
50
51	level = Trixi.t8_element_level(eclass_scheme, elements[1])	×
52
53	# TODO: Make this condition more general.
54	if vertex[1] < 1e-8 && vertex[2] < 1e-8 && level < 2	×
55	# return true (refine)
56	return 1	×
57	else
58	# return false (don't refine)
59	return 0	×
60	end
61	end
62
63	Trixi.adapt!(mesh, adapt_callback)
64
65	semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver,
66	source_terms = source_terms,
67	boundary_conditions = boundary_conditions)
68
69	###############################################################################
70	# ODE solvers, callbacks etc.
71
72	tspan = (0.0, 1.0)
73	ode = semidiscretize(semi, tspan)
74
75	summary_callback = SummaryCallback()
76
77	analysis_interval = 100
78	analysis_callback = AnalysisCallback(semi, interval = analysis_interval)
79
80	alive_callback = AliveCallback(analysis_interval = analysis_interval)
81
82	save_restart = SaveRestartCallback(interval = 100,
83	save_final_restart = true)
84
85	save_solution = SaveSolutionCallback(interval = 100,
86	save_initial_solution = true,
87	save_final_solution = true,
88	solution_variables = cons2prim)
89
90	stepsize_callback = StepsizeCallback(cfl = 0.8)
91
92	callbacks = CallbackSet(summary_callback,
93	analysis_callback, alive_callback,
94	save_restart, save_solution,
95	stepsize_callback)
96	###############################################################################
97	# run the simulation
98
99	sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false);
100	dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback
101	ode_default_options()..., callback = callbacks);

trixi-framework / Trixi.jl / 25071984038

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