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allow periodic FDSBP operators (#1570)
* enable fully periodic upwind SBP oeprators * 2D and 3D tests * comment on PeriodicFDSBP
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examples/tree_1d_fdsbp/elixir_advection_upwind_periodic.jl
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# !!! warning "Experimental implementation (upwind SBP)" | ||
# This is an experimental feature and may change in future releases. | ||
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using OrdinaryDiffEq | ||
using Trixi | ||
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############################################################################### | ||
# semidiscretization of the linear scalar advection equation equation | ||
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equations = LinearScalarAdvectionEquation1D(1.0) | ||
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function initial_condition_sin(x, t, equation::LinearScalarAdvectionEquation1D) | ||
return SVector(sinpi(x[1] - equations.advection_velocity[1] * t)) | ||
end | ||
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D_upw = upwind_operators(SummationByPartsOperators.periodic_derivative_operator, | ||
accuracy_order = 4, | ||
xmin = -1.0, xmax = 1.0, | ||
N = 64) | ||
flux_splitting = splitting_lax_friedrichs | ||
solver = FDSBP(D_upw, | ||
surface_integral = SurfaceIntegralUpwind(flux_splitting), | ||
volume_integral = VolumeIntegralUpwind(flux_splitting)) | ||
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coordinates_min = -1.0 | ||
coordinates_max = 1.0 | ||
mesh = TreeMesh(coordinates_min, coordinates_max, | ||
initial_refinement_level = 0, | ||
n_cells_max = 10_000, | ||
periodicity = true) | ||
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semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition_sin, solver) | ||
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############################################################################### | ||
# ODE solvers, callbacks etc. | ||
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tspan = (0.0, 2.0) | ||
ode = semidiscretize(semi, tspan) | ||
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summary_callback = SummaryCallback() | ||
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analysis_interval = 1000 | ||
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, | ||
analysis_callback, alive_callback) | ||
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############################################################################### | ||
# run the simulation | ||
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sol = solve(ode, RDPK3SpFSAL49(); abstol=1.0e-6, reltol=1.0e-6, | ||
ode_default_options()..., callback=callbacks); | ||
summary_callback() # print the timer summary |
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