#include <source/time_integrator.h>

Inheritance diagram for ryujin::TimeIntegrator< Description, dim, Number >:

Collaboration diagram for ryujin::TimeIntegrator< Description, dim, Number >:

Public Types
using	HyperbolicSystem = typename Description::HyperbolicSystem

using	ParabolicSystem = typename Description::ParabolicSystem

using	View = typename Description::template HyperbolicSystemView< dim, Number >

using	vector_type = MultiComponentVector< Number, problem_dimension >

using	precomputed_type = MultiComponentVector< Number, n_precomputed_values >

Public Member Functions
	TimeIntegrator (const MPI_Comm &mpi_communicator, std::map< std::string, dealii::Timer > &computing_timer, const OfflineData< dim, Number > &offline_data, const HyperbolicModule< Description, dim, Number > &hyperbolic_module, const ParabolicModule< Description, dim, Number > &parabolic_module, const std::string &subsection="/TimeIntegrator")

void	prepare ()

Static Public Attributes
static constexpr unsigned int	problem_dimension = View::problem_dimension

static constexpr unsigned int	n_precomputed_values

Functions for performing explicit time steps
Number	step (vector_type &U, Number t)

auto &	time_stepping_scheme () const

auto &	efficiency () const

Number	step_ssprk_22 (vector_type &U, Number t)

Number	step_ssprk_33 (vector_type &U, Number t)

Number	step_erk_11 (vector_type &U, Number t)

Number	step_erk_22 (vector_type &U, Number t)

Number	step_erk_33 (vector_type &U, Number t)

Number	step_erk_43 (vector_type &U, Number t)

Number	step_erk_54 (vector_type &U, Number t)

Number	step_strang_ssprk_33_cn (vector_type &U, Number t)

Number	step_strang_erk_33_cn (vector_type &U, Number t)

Number	step_strang_erk_43_cn (vector_type &U, Number t)

Detailed Description

template<typename Description, int dim, typename Number = double>
class ryujin::TimeIntegrator< Description, dim, Number >

The TimeIntegrator class implements IMEX timestepping strategies based on explicit and diagonally-implicit Runge Kutta schemes.

Definition at line 172 of file time_integrator.h.

Member Typedef Documentation

◆ HyperbolicSystem

template<typename Description , int dim, typename Number = double>

using ryujin::TimeIntegrator< Description, dim, Number >::HyperbolicSystem = typename Description::HyperbolicSystem

Definition at line 178 of file time_integrator.h.

◆ ParabolicSystem

template<typename Description , int dim, typename Number = double>

using ryujin::TimeIntegrator< Description, dim, Number >::ParabolicSystem = typename Description::ParabolicSystem

Definition at line 183 of file time_integrator.h.

◆ View

template<typename Description , int dim, typename Number = double>

using ryujin::TimeIntegrator< Description, dim, Number >::View = typename Description::template HyperbolicSystemView<dim, Number>

Definition at line 188 of file time_integrator.h.

◆ vector_type

template<typename Description , int dim, typename Number = double>

using ryujin::TimeIntegrator< Description, dim, Number >::vector_type = MultiComponentVector<Number, problem_dimension>

Typedef for a MultiComponentVector storing the state U.

Definition at line 205 of file time_integrator.h.

◆ precomputed_type

template<typename Description , int dim, typename Number = double>

using ryujin::TimeIntegrator< Description, dim, Number >::precomputed_type = MultiComponentVector<Number, n_precomputed_values>

Typedef for a MultiComponentVector storing precomputed values.

Definition at line 210 of file time_integrator.h.

Constructor & Destructor Documentation

◆ TimeIntegrator()

template<typename Description , int dim, typename Number >

ryujin::TimeIntegrator< Description, dim, Number >::TimeIntegrator	(	const MPI_Comm &	mpi_communicator,
		std::map< std::string, dealii::Timer > &	computing_timer,
		const OfflineData< dim, Number > &	offline_data,
		const HyperbolicModule< Description, dim, Number > &	hyperbolic_module,
		const ParabolicModule< Description, dim, Number > &	parabolic_module,
		const std::string &	subsection = `"/TimeIntegrator< Description, dim, Number >"`
	)

Constructor.

Definition at line 15 of file time_integrator.template.h.

References ryujin::bang_bang_control, ryujin::erk_33, ryujin::ScalarConservation::ParabolicSystem::is_identity, and ryujin::strang_erk_33_cn.

Member Function Documentation

◆ prepare()

template<typename Description , int dim, typename Number >

void ryujin::TimeIntegrator< Description, dim, Number >::prepare

Prepare time integration. A call to prepare() allocates temporary storage and is necessary before any of the following time-stepping functions can be called.

Definition at line 62 of file time_integrator.template.h.

References ryujin::erk_11, ryujin::erk_22, ryujin::erk_33, ryujin::erk_43, ryujin::erk_54, ryujin::ScalarConservation::ParabolicSystem::is_identity, ryujin::ssprk_22, ryujin::ssprk_33, ryujin::strang_erk_33_cn, ryujin::strang_erk_43_cn, and ryujin::strang_ssprk_33_cn.

◆ step()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step	(	vector_type &	U,
		Number	t
	)

Given a reference to a previous state vector U performs an explicit time step (and store the result in U). The function returns the chosen time step size tau.

Note: This function switches between different Runge-Kutta methods depending on chosen runtime parameters.; Depending on chosen run time parameters different CFL adaptation and recovery strategies for invariant domain violations are used.

Definition at line 190 of file time_integrator.template.h.

References ryujin::erk_11, ryujin::erk_22, ryujin::erk_33, ryujin::erk_43, ryujin::erk_54, ryujin::ssprk_22, ryujin::ssprk_33, and ryujin::strang_ssprk_33_cn.

◆ time_stepping_scheme()

template<typename Description , int dim, typename Number = double>

auto & ryujin::TimeIntegrator< Description, dim, Number >::time_stepping_scheme ( ) const

inline

The selected time-stepping scheme.

Definition at line 252 of file time_integrator.h.

◆ efficiency()

template<typename Description , int dim, typename Number = double>

auto & ryujin::TimeIntegrator< Description, dim, Number >::efficiency ( ) const

inline

The eficiency of the selected time-stepping scheme expressed as the ratio of step size of the combined method to step size of an elementary forward Euler step. For example, SSPRK33 has an efficiency ratio of 1 whereas ERK33 has an efficiency ratio of 3.

Definition at line 260 of file time_integrator.h.

◆ step_ssprk_22()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step_ssprk_22	(	vector_type &	U,
		Number	t
	)

protected

Given a reference to a previous state vector U performs an explicit second-order strong-stability preserving Runge-Kutta SSPRK(2,2;1/2) time step (and store the result in U). The function returns the chosen time step size tau.

If the parameter tau is set to a nonzero value then the supplied value is used for time stepping instead of the computed maximal time step size.

Definition at line 252 of file time_integrator.template.h.

◆ step_ssprk_33()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step_ssprk_33	(	vector_type &	U,
		Number	t
	)

protected

Given a reference to a previous state vector U performs an explicit third-order strong-stability preserving Runge-Kutta SSPRK(3,3;1/3) time step (and store the result in U). The function returns the chosen time step size tau.

If the parameter tau is set to a nonzero value then the supplied value is used for time stepping instead of the computed maximal time step size.

Definition at line 274 of file time_integrator.template.h.

◆ step_erk_11()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step_erk_11	(	vector_type &	U,
		Number	t
	)

protected

Given a reference to a previous state vector U performs an explicit first-order Euler step ERK(1,1;1) time step (and store the result in U). The function returns the chosen time step size tau.

Definition at line 302 of file time_integrator.template.h.

◆ step_erk_22()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step_erk_22	(	vector_type &	U,
		Number	t
	)

protected

Given a reference to a previous state vector U performs an explicit second-order Runge-Kutta ERK(2,2;1) time step (and store the result in U). The function returns the chosen time step size tau.

Definition at line 320 of file time_integrator.template.h.

◆ step_erk_33()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step_erk_33	(	vector_type &	U,
		Number	t
	)

protected

Given a reference to a previous state vector U performs an explicit third-order Runge-Kutta ERK(3,3;1) time step (and store the result in U). The function returns the chosen time step size tau.

Definition at line 348 of file time_integrator.template.h.

◆ step_erk_43()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step_erk_43	(	vector_type &	U,
		Number	t
	)

protected

Given a reference to a previous state vector U performs an explicit 4 stage third-order Runge-Kutta ERK(4,3;1) time step (and store the result in U). The function returns the chosen time step size tau.

Definition at line 386 of file time_integrator.template.h.

◆ step_erk_54()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step_erk_54	(	vector_type &	U,
		Number	t
	)

protected

Given a reference to a previous state vector U performs an explicit 4 stage fourth-order Runge-Kutta ERK(5,4;1) time step (and store the result in U). The function returns the chosen time step size tau.

Definition at line 434 of file time_integrator.template.h.

◆ step_strang_ssprk_33_cn()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step_strang_ssprk_33_cn	(	vector_type &	U,
		Number	t
	)

protected

Given a reference to a previous state vector U performs a combined explicit implicit Strang split using a third-order Runge-Kutta ERK(3,3;1/3) time step and an implicit Crank-Nicolson step (and store the result in U). The function returns the chosen time step size tau.

Definition at line 515 of file time_integrator.template.h.

◆ step_strang_erk_33_cn()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step_strang_erk_33_cn	(	vector_type &	U,
		Number	t
	)

protected

Given a reference to a previous state vector U performs a combined explicit implicit Strang split using a third-order Runge-Kutta ERK(3,3;1) time step and an implicit Crank-Nicolson step (and store the result in U). The function returns the chosen time step size tau.

Definition at line 567 of file time_integrator.template.h.

◆ step_strang_erk_43_cn()

template<typename Description , int dim, typename Number >

Number ryujin::TimeIntegrator< Description, dim, Number >::step_strang_erk_43_cn	(	vector_type &	U,
		Number	t
	)

protected

Given a reference to a previous state vector U performs a combined explicit implicit Strang split using a third-order Runge-Kutta ERK(4,3;1) time step and an implicit Crank-Nicolson step (and store the result in U). The function returns the chosen time step size tau.

Definition at line 635 of file time_integrator.template.h.

Member Data Documentation

◆ problem_dimension

template<typename Description , int dim, typename Number = double>

constexpr unsigned int ryujin::TimeIntegrator< Description, dim, Number >::problem_dimension = View::problem_dimension

staticconstexpr

Definition at line 194 of file time_integrator.h.

◆ n_precomputed_values

template<typename Description , int dim, typename Number = double>

constexpr unsigned int ryujin::TimeIntegrator< Description, dim, Number >::n_precomputed_values

staticconstexpr

Initial value:

=

View::n_precomputed_values

Definition at line 199 of file time_integrator.h.

The documentation for this class was generated from the following files:

source/time_integrator.h
source/time_integrator.template.h

Public Types

Public Member Functions

Static Public Attributes

Functions for performing explicit time steps

Detailed Description

Member Typedef Documentation

◆ HyperbolicSystem

◆ ParabolicSystem

◆ View

◆ vector_type

◆ precomputed_type

Constructor & Destructor Documentation

◆ TimeIntegrator()

Member Function Documentation

◆ prepare()

◆ step()

◆ time_stepping_scheme()

◆ efficiency()

◆ step_ssprk_22()

◆ step_ssprk_33()

◆ step_erk_11()

◆ step_erk_22()

◆ step_erk_33()

◆ step_erk_43()

◆ step_erk_54()

◆ step_strang_ssprk_33_cn()

◆ step_strang_erk_33_cn()

◆ step_strang_erk_43_cn()

Member Data Documentation

◆ problem_dimension

◆ n_precomputed_values