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# Use Blue style | ||
style = "blue" | ||
# Use SciML style | ||
style = "sciml" | ||
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# Additional Options | ||
yas_style_nesting = true | ||
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using Trixi, TrixiGPU | ||
using OrdinaryDiffEq | ||
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# The example is taken from the Trixi.jl | ||
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############################################################################### | ||
# semidiscretization of the linear advection equation | ||
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advection_velocity = 1.0 | ||
equations = LinearScalarAdvectionEquation1D(advection_velocity) | ||
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solver = DGSEM(; polydeg=3, surface_flux=flux_lax_friedrichs) | ||
# Create DG solver with polynomial degree = 3 and (local) Lax-Friedrichs/Rusanov flux as surface flux | ||
solver = DGSEM(polydeg = 3, surface_flux = flux_lax_friedrichs) | ||
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coordinates_min = -1.0 | ||
coordinates_max = 1.0 | ||
coordinates_min = -1.0 # minimum coordinate | ||
coordinates_max = 1.0 # maximum coordinate | ||
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mesh = TreeMesh( | ||
coordinates_min, coordinates_max; initial_refinement_level=4, n_cells_max=30_000 | ||
) | ||
# Create a uniformly refined mesh with periodic boundaries | ||
mesh = TreeMesh(coordinates_min, coordinates_max, | ||
initial_refinement_level = 4, | ||
n_cells_max = 30_000) # set maximum capacity of tree data structure | ||
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semi = SemidiscretizationHyperbolic( | ||
mesh, equations, initial_condition_convergence_test, solver | ||
) | ||
# A semidiscretization collects data structures and functions for the spatial discretization | ||
semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition_convergence_test, | ||
solver) | ||
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tspan = (0.0, 1.0) | ||
############################################################################### | ||
# ODE solvers, callbacks etc. | ||
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ode = semidiscretize_gpu(semi, tspan) # from TrixiGPU.jl | ||
# Create ODE problem with time span from 0.0 to 1.0 | ||
ode = semidiscretize_gpu(semi, (0.0, 1.0)) # from TrixiGPU.jl | ||
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# At the beginning of the main loop, the SummaryCallback prints a summary of the simulation setup | ||
# and resets the timers | ||
summary_callback = SummaryCallback() | ||
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analysis_interval = 100 | ||
analysis_callback = AnalysisCallback( | ||
semi; | ||
interval=analysis_interval, | ||
extra_analysis_errors=(:l2_error_primitive, :linf_error_primitive), | ||
) | ||
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alive_callback = AliveCallback(; analysis_interval=analysis_interval) | ||
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save_solution = SaveSolutionCallback(; | ||
interval=100, | ||
save_initial_solution=true, | ||
save_final_solution=true, | ||
solution_variables=cons2prim, | ||
) | ||
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stepsize_callback = StepsizeCallback(; cfl=0.8) | ||
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callbacks = CallbackSet( | ||
summary_callback, analysis_callback, alive_callback, save_solution, stepsize_callback | ||
) | ||
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sol = solve( | ||
ode, | ||
CarpenterKennedy2N54(; williamson_condition=false); | ||
dt=1.0, | ||
save_everystep=false, | ||
callback=callbacks, | ||
); | ||
summary_callback() | ||
# The AnalysisCallback allows to analyse the solution in regular intervals and prints the results | ||
analysis_callback = AnalysisCallback(semi, interval = 100) | ||
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# The SaveSolutionCallback allows to save the solution to a file in regular intervals | ||
save_solution = SaveSolutionCallback(interval = 100, | ||
solution_variables = cons2prim) | ||
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# The StepsizeCallback handles the re-calculation of the maximum Δt after each time step | ||
stepsize_callback = StepsizeCallback(cfl = 1.6) | ||
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# Create a CallbackSet to collect all callbacks such that they can be passed to the ODE solver | ||
callbacks = CallbackSet(summary_callback, analysis_callback, save_solution, | ||
stepsize_callback) | ||
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############################################################################### | ||
# run the simulation | ||
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# OrdinaryDiffEq's `solve` method evolves the solution in time and executes the passed callbacks | ||
sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false), | ||
dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback | ||
save_everystep = false, callback = callbacks); | ||
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# Print the timer summary | ||
summary_callback() |
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using Trixi, TrixiGPU | ||
using OrdinaryDiffEq | ||
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||
# The example is taken from the Trixi.jl | ||
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||
############################################################################### | ||
# semidiscretization of the linear advection equation | ||
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||
advection_velocity = (0.2, -0.7) | ||
equations = LinearScalarAdvectionEquation2D(advection_velocity) | ||
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solver = DGSEM(; polydeg=3, surface_flux=flux_lax_friedrichs) | ||
# Create DG solver with polynomial degree = 3 and (local) Lax-Friedrichs/Rusanov flux as surface flux | ||
solver = DGSEM(polydeg = 3, surface_flux = flux_lax_friedrichs) | ||
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coordinates_min = (-1.0, -1.0) | ||
coordinates_max = (1.0, 1.0) | ||
coordinates_min = (-1.0, -1.0) # minimum coordinates (min(x), min(y)) | ||
coordinates_max = (1.0, 1.0) # maximum coordinates (max(x), max(y)) | ||
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mesh = TreeMesh( | ||
coordinates_min, coordinates_max; initial_refinement_level=4, n_cells_max=30_000 | ||
) | ||
# Create a uniformly refined mesh with periodic boundaries | ||
mesh = TreeMesh(coordinates_min, coordinates_max, | ||
initial_refinement_level = 4, | ||
n_cells_max = 30_000) # set maximum capacity of tree data structure | ||
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||
semi = SemidiscretizationHyperbolic( | ||
mesh, equations, initial_condition_convergence_test, solver | ||
) | ||
# A semidiscretization collects data structures and functions for the spatial discretization | ||
semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition_convergence_test, | ||
solver) | ||
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tspan = (0.0, 1.0) | ||
############################################################################### | ||
# ODE solvers, callbacks etc. | ||
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ode = semidiscretize_gpu(semi, tspan) # from TrixiGPU.jl | ||
# Create ODE problem with time span from 0.0 to 1.0 | ||
ode = semidiscretize_gpu(semi, (0.0, 1.0)) # from TrixiGPU.jl | ||
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# At the beginning of the main loop, the SummaryCallback prints a summary of the simulation setup | ||
# and resets the timers | ||
summary_callback = SummaryCallback() | ||
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analysis_callback = AnalysisCallback(semi; interval=100) | ||
# The AnalysisCallback allows to analyse the solution in regular intervals and prints the results | ||
analysis_callback = AnalysisCallback(semi, interval = 100) | ||
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# The SaveSolutionCallback allows to save the solution to a file in regular intervals | ||
save_solution = SaveSolutionCallback(interval = 100, | ||
solution_variables = cons2prim) | ||
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# The StepsizeCallback handles the re-calculation of the maximum Δt after each time step | ||
stepsize_callback = StepsizeCallback(cfl = 1.6) | ||
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save_solution = SaveSolutionCallback(; interval=100, solution_variables=cons2prim) | ||
# Create a CallbackSet to collect all callbacks such that they can be passed to the ODE solver | ||
callbacks = CallbackSet(summary_callback, analysis_callback, save_solution, | ||
stepsize_callback) | ||
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stepsize_callback = StepsizeCallback(; cfl=1.6) | ||
############################################################################### | ||
# run the simulation | ||
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callbacks = CallbackSet( | ||
summary_callback, analysis_callback, save_solution, stepsize_callback | ||
) | ||
# OrdinaryDiffEq's `solve` method evolves the solution in time and executes the passed callbacks | ||
sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false), | ||
dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback | ||
save_everystep = false, callback = callbacks); | ||
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sol = solve( | ||
ode, | ||
CarpenterKennedy2N54(; williamson_condition=false); | ||
dt=1.0, | ||
save_everystep=false, | ||
callback=callbacks, | ||
); | ||
summary_callback() | ||
# Print the timer summary | ||
summary_callback() |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -1,43 +1,60 @@ | ||
using Trixi, TrixiGPU | ||
using OrdinaryDiffEq | ||
|
||
# The example is taken from the Trixi.jl | ||
|
||
############################################################################### | ||
# semidiscretization of the linear advection equation | ||
|
||
advection_velocity = (0.2, -0.7, 0.5) | ||
equations = LinearScalarAdvectionEquation3D(advection_velocity) | ||
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solver = DGSEM(; polydeg=3, surface_flux=flux_lax_friedrichs) | ||
# Create DG solver with polynomial degree = 3 and (local) Lax-Friedrichs/Rusanov flux as surface flux | ||
solver = DGSEM(polydeg = 3, surface_flux = flux_lax_friedrichs) | ||
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coordinates_min = (-1.0, -1.0, -1.0) | ||
coordinates_max = (1.0, 1.0, 1.0) | ||
coordinates_min = (-1.0, -1.0, -1.0) # minimum coordinates (min(x), min(y), min(z)) | ||
coordinates_max = (1.0, 1.0, 1.0) # maximum coordinates (max(x), max(y), max(z)) | ||
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mesh = TreeMesh( | ||
coordinates_min, coordinates_max; initial_refinement_level=3, n_cells_max=30_000 | ||
) | ||
# Create a uniformly refined mesh with periodic boundaries | ||
mesh = TreeMesh(coordinates_min, coordinates_max, | ||
initial_refinement_level = 3, | ||
n_cells_max = 30_000) # set maximum capacity of tree data structure | ||
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||
semi = SemidiscretizationHyperbolic( | ||
mesh, equations, initial_condition_convergence_test, solver | ||
) | ||
# A semidiscretization collects data structures and functions for the spatial discretization | ||
semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition_convergence_test, | ||
solver) | ||
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tspan = (0.0, 1.0) | ||
############################################################################### | ||
# ODE solvers, callbacks etc. | ||
|
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ode = semidiscretize_gpu(semi, tspan) # from TrixiGPU.jl | ||
# Create ODE problem with time span from 0.0 to 1.0 | ||
ode = semidiscretize_gpu(semi, (0.0, 1.0)) # from TrixiGPU.jl | ||
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# At the beginning of the main loop, the SummaryCallback prints a summary of the simulation setup | ||
# and resets the timers | ||
summary_callback = SummaryCallback() | ||
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analysis_callback = AnalysisCallback(semi; interval=100) | ||
# The AnalysisCallback allows to analyse the solution in regular intervals and prints the results | ||
analysis_callback = AnalysisCallback(semi, interval = 100) | ||
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# The SaveSolutionCallback allows to save the solution to a file in regular intervals | ||
save_solution = SaveSolutionCallback(interval = 100, | ||
solution_variables = cons2prim) | ||
# | ||
# The StepsizeCallback handles the re-calculation of the maximum Δt after each time step | ||
stepsize_callback = StepsizeCallback(cfl = 1.2) | ||
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save_solution = SaveSolutionCallback(; interval=100, solution_variables=cons2prim) | ||
# Create a CallbackSet to collect all callbacks such that they can be passed to the ODE solver | ||
callbacks = CallbackSet(summary_callback, analysis_callback, save_solution, | ||
stepsize_callback) | ||
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stepsize_callback = StepsizeCallback(; cfl=1.2) | ||
############################################################################### | ||
# run the simulation | ||
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callbacks = CallbackSet( | ||
summary_callback, analysis_callback, save_solution, stepsize_callback | ||
) | ||
# OrdinaryDiffEq's `solve` method evolves the solution in time and executes the passed callbacks | ||
sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false), | ||
dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback | ||
save_everystep = false, callback = callbacks); | ||
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sol = solve( | ||
ode, | ||
CarpenterKennedy2N54(; williamson_condition=false); | ||
dt=1.0, | ||
save_everystep=false, | ||
callback=callbacks, | ||
); | ||
summary_callback() | ||
# Print the timer summary | ||
summary_callback() |