Advection Diffusion

Advection-Diffusion example. More...

Collaboration diagram for Advection Diffusion:

Modules
	Files

Classes
class	pfasst::examples::advection_diffusion::AdvectionDiffusionSweeper< time >
	advection-diffusion sweeper with semi-implicit time-integration. More...
struct	pfasst::examples::advection_diffusion::FFT::workspace
class	pfasst::examples::advection_diffusion::FFT
	FFT helper class. More...
class	pfasst::examples::advection_diffusion::SpectralTransfer1D< time >
	Spectral (FFT) transfer routines. More...

Functions
error_map	pfasst::examples::advection_diffusion::run_mpi_pfasst (const double abs_res_tol, const double rel_res_tol, const size_t niters, const size_t nsteps, const double dt, const size_t ndofs_f, const size_t ndofs_c, const size_t nnodes_f, const size_t nnodes_c)
	Advection/diffusion example using an encapsulated IMEX sweeper. More...
tuple< error_map, residual_map >	pfasst::examples::advection_diffusion::run_serial_mlsdc (size_t nlevs, size_t nsteps_in=4, double step_size_in=0.01, size_t num_iter_in=8, size_t nnodes_in=5, size_t ndofs_in=128)
	Advection/diffusion example using an encapsulated IMEX sweeper. More...
error_map	pfasst::examples::advection_diffusion::run_vanilla_sdc (double abs_residual_tol, double rel_residual_tol=0.0)
	Advection/diffusion example using an encapsulated IMEX sweeper. More...

Detailed Description

Advection-Diffusion example.

This directory contains several implementations of an advection/diffusion solver using the PFASST framework.

All of the solvers use the SDC sweeper defined in advection_diffusion_sweeper.hpp, and the FFT routines in fft.hpp.

The implementations are, in order of complexity:

• vanilla_sdc.cpp - basic example that uses an encapsulated IMEX sweeper.
• serial_mlsdc.cpp - basic multi-level version that uses polynomial interpolation in time and spectral interpolation in space, as defined in specrtal_transfer_1d.hpp.
• serial_mlsdc_autobuild.cpp - same as above, but uses the "auto build" feature to shorten main.

Function Documentation

error_map pfasst::examples::advection_diffusion::run_mpi_pfasst	(	const double	abs_res_tol,
		const double	rel_res_tol,
		const size_t	niters,
		const size_t	nsteps,
		const double	dt,
		const size_t	ndofs_f,
		const size_t	ndofs_c,
		const size_t	nnodes_f,
		const size_t	nnodes_c
	)

Advection/diffusion example using an encapsulated IMEX sweeper.

This example uses MPI PFASST.

Definition at line 43 of file mpi_pfasst.cpp.

References pfasst::Controller< time >::add_level(), pfasst::examples::advection_diffusion::AdvectionDiffusionSweeper< time >::get_errors(), pfasst::Controller< time >::get_finest(), ML_CLOG, ML_LOG, pfasst::quadrature::quadrature_factory(), pfasst::PFASST< time >::run(), pfasst::PFASST< time >::set_comm(), pfasst::Controller< time >::set_duration(), pfasst::MLSDC< time >::set_nsweeps(), pfasst::Controller< time >::set_options(), and pfasst::MLSDC< time >::setup().

Referenced by main(), ConvergenceTest::SetUp(), and TEST().

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tuple<error_map, residual_map> pfasst::examples::advection_diffusion::run_serial_mlsdc	(	size_t	nlevs,
		size_t	nsteps_in = 4,
		double	step_size_in = 0.01,
		size_t	num_iter_in = 8,
		size_t	nnodes_in = 5,
		size_t	ndofs_in = 128
	)

Advection/diffusion example using an encapsulated IMEX sweeper.

This example uses a (serial) multi-level SDC sweeper.

Definition at line 37 of file serial_mlsdc.cpp.

References pfasst::Controller< time >::add_level(), pfasst::Controller< time >::coarsest(), plot::dt, pfasst::Controller< time >::finest(), pfasst::examples::advection_diffusion::AdvectionDiffusionSweeper< time >::get_errors(), pfasst::Controller< time >::get_finest(), pfasst::examples::advection_diffusion::AdvectionDiffusionSweeper< time >::get_residuals(), pfasst::encap::EncapSweeper< time >::get_start_state(), ML_LOG, pfasst::quadrature::quadrature_factory(), pfasst::MLSDC< time >::run(), pfasst::Controller< time >::set_duration(), pfasst::Controller< time >::set_options(), and pfasst::MLSDC< time >::setup().

Referenced by main(), ConvergenceTest::SetUp(), and TEST().

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error_map pfasst::examples::advection_diffusion::run_vanilla_sdc	(	double	abs_residual_tol,
		double	rel_residual_tol = 0.0
	)

Advection/diffusion example using an encapsulated IMEX sweeper.

This example uses a vanilla SDC sweeper.

Definition at line 34 of file vanilla_sdc.cpp.

References pfasst::Controller< time >::add_level(), pfasst::quadrature::GaussLegendre, pfasst::quadrature::quadrature_factory(), pfasst::SDC< time >::run(), pfasst::Controller< time >::set_duration(), pfasst::Controller< time >::set_options(), and pfasst::Controller< time >::setup().

Referenced by main(), and TEST().

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