Book a Demo!
CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutPoliciesSign UpSign In
trixi-framework
GitHub Repository: trixi-framework/Trixi.jl
Path: blob/main/examples/tree_1d_dgsem/elixir_advection_amr_nonperiodic.jl
2831 views
1
using OrdinaryDiffEqLowStorageRK
2
using Trixi
3
4
###############################################################################
5
# semidiscretization of the linear advection equation
6
7
advection_velocity = 1.0
8
equations = LinearScalarAdvectionEquation1D(advection_velocity)
9
10
initial_condition = initial_condition_gauss
11
boundary_conditions = BoundaryConditionDirichlet(initial_condition)
12
13
solver = DGSEM(polydeg = 3, surface_flux = flux_lax_friedrichs)
14
15
coordinates_min = (0.0,)
16
coordinates_max = (5.0,)
17
mesh = TreeMesh(coordinates_min, coordinates_max,
18
initial_refinement_level = 4,
19
n_cells_max = 10_000,
20
periodicity = false)
21
22
semi = SemidiscretizationHyperbolic(mesh, equations,
23
initial_condition,
24
solver; boundary_conditions = boundary_conditions)
25
26
###############################################################################
27
# ODE solvers, callbacks etc.
28
29
tspan = (0.0, 5.0)
30
ode = semidiscretize(semi, tspan)
31
32
summary_callback = SummaryCallback()
33
34
analysis_interval = 100
35
analysis_callback = AnalysisCallback(semi, interval = analysis_interval,
36
extra_analysis_integrals = (entropy,))
37
38
alive_callback = AliveCallback(analysis_interval = analysis_interval)
39
40
save_restart = SaveRestartCallback(interval = 100,
41
save_final_restart = true)
42
43
save_solution = SaveSolutionCallback(interval = 100,
44
save_initial_solution = true,
45
save_final_solution = true,
46
solution_variables = cons2prim)
47
48
amr_controller = ControllerThreeLevel(semi, IndicatorMax(semi, variable = first),
49
base_level = 4,
50
med_level = 5, med_threshold = 0.1,
51
max_level = 6, max_threshold = 0.6)
52
amr_callback = AMRCallback(semi, amr_controller,
53
interval = 5,
54
adapt_initial_condition = true,
55
adapt_initial_condition_only_refine = true)
56
57
stepsize_callback = StepsizeCallback(cfl = 1.6)
58
59
callbacks = CallbackSet(summary_callback,
60
analysis_callback, alive_callback,
61
save_restart, save_solution,
62
amr_callback, stepsize_callback);
63
64
###############################################################################
65
# run the simulation
66
67
sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false);
68
dt = stepsize_callback(ode), # solve needs some value here but it will be overwritten by the stepsize_callback
69
ode_default_options()..., callback = callbacks);
70
71