Detailed Description

Time discretized first order implicit quasi-linear ODE; to be solved using the Picard fixpoint iteration method for resolving nonlinearities.

See also: ODESystemTag::FirstOrderImplicitQuasilinear

Definition at line 161 of file TimeDiscretizedODESystem.h.

#include <TimeDiscretizedODESystem.h>

Inheritance diagram for NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >:

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Collaboration diagram for NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >:

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Public Types
using	ODE = ODESystem< ODETag, NonlinearSolverTag::Picard >
	The type of ODE. More...

using	MatTrans = MatrixTranslator< ODETag >

using	TimeDisc = TimeDiscretization
	A shortcut for a general time discretization scheme. More...

Public Member Functions
	TimeDiscretizedODESystem (const int process_id, ODE &ode, TimeDisc &time_discretization)
	Constructs a new instance. More...

	~TimeDiscretizedODESystem () override

void	assemble (std::vector< GlobalVector * > const &x_new_timestep, std::vector< GlobalVector * > const &x_prev, int const process_id) override

void	getA (GlobalMatrix &A) const override

void	getRhs (GlobalVector const &x_prev, GlobalVector &rhs) const override

void	computeKnownSolutions (GlobalVector const &x, int const process_id) override

void	applyKnownSolutions (GlobalVector &x) const override

void	applyKnownSolutionsPicard (GlobalMatrix &A, GlobalVector &rhs, GlobalVector &x) const override

bool	isLinear () const override

void	preIteration (const unsigned iter, GlobalVector const &x) override

IterationResult	postIteration (GlobalVector const &x) override

TimeDisc &	getTimeDiscretization () override
	Exposes the used time discretization scheme. More...

MathLib::MatrixSpecifications	getMatrixSpecifications (const int process_id) const override

Static Public Attributes
static const ODESystemTag	ODETag
	A tag indicating the type of ODE. More...

Private Types
using	Index = MathLib::MatrixVectorTraits< GlobalMatrix >::Index

Private Attributes
ODE &	_ode
	ode the ODE being wrapped More...

TimeDisc &	_time_disc
	the time discretization to being used More...

std::unique_ptr< MatTrans >	_mat_trans
	the object used to compute the matrix/vector for the nonlinear solver More...

std::vector< NumLib::IndexValueVector< Index > > const *	_known_solutions
	stores precomputed values for known solutions More...

GlobalMatrix *	_M
	Matrix \( M \). More...

GlobalMatrix *	_K
	Matrix \( K \). More...

GlobalVector *	_b
	Matrix \( b \). More...

std::size_t	_M_id = 0u
	ID of the `_M` matrix. More...

std::size_t	_K_id = 0u
	ID of the `_K` matrix. More...

std::size_t	_b_id = 0u
	ID of the `_b` vector. More...

std::vector< std::size_t >	_xdot_ids

Member Typedef Documentation

◆ Index

using NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::Index = MathLib::MatrixVectorTraits<GlobalMatrix>::Index

private

Definition at line 232 of file TimeDiscretizedODESystem.h.

◆ MatTrans

using NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::MatTrans = MatrixTranslator<ODETag>

The auxiliary class that computes the matrix/vector used by the nonlinear solver.

Definition at line 174 of file TimeDiscretizedODESystem.h.

◆ ODE

using NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::ODE = ODESystem<ODETag, NonlinearSolverTag::Picard>

The type of ODE.

Definition at line 171 of file TimeDiscretizedODESystem.h.

◆ TimeDisc

using NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::TimeDisc = TimeDiscretization

A shortcut for a general time discretization scheme.

Definition at line 176 of file TimeDiscretizedODESystem.h.

Constructor & Destructor Documentation

◆ TimeDiscretizedODESystem()

NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::TimeDiscretizedODESystem	(	const int	process_id,
		ODE &	ode,
		TimeDisc &	time_discretization
	)

explicit

Constructs a new instance.

Definition at line 189 of file TimeDiscretizedODESystem.cpp.

     : _ode(ode),
       _time_disc(time_discretization),
       _mat_trans(createMatrixTranslator<ODETag>(time_discretization))
 {
     _M = &NumLib::GlobalMatrixProvider::provider.getMatrix(
         ode.getMatrixSpecifications(process_id), _M_id);
     _K = &NumLib::GlobalMatrixProvider::provider.getMatrix(
         ode.getMatrixSpecifications(process_id), _K_id);
     _b = &NumLib::GlobalVectorProvider::provider.getVector(
         ode.getMatrixSpecifications(process_id), _b_id);
 }

References NumLib::MatrixProvider::getMatrix(), NumLib::VectorProvider::getVector(), NumLib::GlobalVectorProvider::provider, and NumLib::GlobalMatrixProvider::provider.

◆ ~TimeDiscretizedODESystem()

NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::~TimeDiscretizedODESystem ( )

override

Definition at line 206 of file TimeDiscretizedODESystem.cpp.

 {
     NumLib::GlobalMatrixProvider::provider.releaseMatrix(*_M);
     NumLib::GlobalMatrixProvider::provider.releaseMatrix(*_K);
     NumLib::GlobalVectorProvider::provider.releaseVector(*_b);
 }

References NumLib::GlobalVectorProvider::provider, NumLib::GlobalMatrixProvider::provider, NumLib::MatrixProvider::releaseMatrix(), and NumLib::VectorProvider::releaseVector().

Member Function Documentation

◆ applyKnownSolutions()

void NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::applyKnownSolutions ( GlobalVector & x ) const

override

Definition at line 262 of file TimeDiscretizedODESystem.cpp.

 {
     ::detail::applyKnownSolutions(_known_solutions, x);
 }

References detail::applyKnownSolutions().

◆ applyKnownSolutionsPicard()

void NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::applyKnownSolutionsPicard	(	GlobalMatrix &	A,
		GlobalVector &	rhs,
		GlobalVector &	x
	)		const

override

Definition at line 268 of file TimeDiscretizedODESystem.cpp.

 {
     if (!_known_solutions)
     {
         return;
     }
  
     using IndexType = MathLib::MatrixVectorTraits<GlobalMatrix>::Index;
     std::vector<IndexType> ids;
     std::vector<double> values;
     for (auto const& bc : *_known_solutions)
     {
         ids.insert(end(ids), begin(bc.ids), end(bc.ids));
         values.insert(end(values), begin(bc.values), end(bc.values));
     }
     MathLib::applyKnownSolution(A, rhs, x, ids, values);
 }

References MathLib::applyKnownSolution().

◆ assemble()

void NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::assemble	(	std::vector< GlobalVector * > const &	x_new_timestep,
		std::vector< GlobalVector * > const &	x_prev,
		int const	process_id
	)

override

Definition at line 214 of file TimeDiscretizedODESystem.cpp.

 {
     namespace LinAlg = MathLib::LinAlg;
  
     auto const t = _time_disc.getCurrentTime();
     auto const dt = _time_disc.getCurrentTimeIncrement();
     auto const& x_curr = *x_new_timestep[process_id];
     std::vector<GlobalVector*> xdot(x_new_timestep.size());
     _xdot_ids.resize(x_new_timestep.size());
  
     for (std::size_t i = 0; i < xdot.size(); i++)
     {
         xdot[i] =
             &NumLib::GlobalVectorProvider::provider.getVector(_xdot_ids[i]);
         _time_disc.getXdot(*x_new_timestep[i], *x_prev[i], *xdot[i]);
     }
  
     _M->setZero();
     _K->setZero();
     _b->setZero();
  
     _ode.preAssemble(t, dt, x_curr);
     _ode.assemble(t, dt, x_new_timestep, xdot, process_id, *_M, *_K, *_b);
  
     LinAlg::finalizeAssembly(*_M);
     LinAlg::finalizeAssembly(*_K);
     LinAlg::finalizeAssembly(*_b);
  
     for (auto& v : xdot)
     {
         NumLib::GlobalVectorProvider::provider.releaseVector(*v);
     }
 }

References MathLib::LinAlg::finalizeAssembly(), NumLib::VectorProvider::getVector(), NumLib::GlobalVectorProvider::provider, NumLib::VectorProvider::releaseVector(), and MathLib::EigenVector::setZero().

◆ computeKnownSolutions()

void NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::computeKnownSolutions	(	GlobalVector const &	x,
		int const	process_id
	)

override

Definition at line 253 of file TimeDiscretizedODESystem.cpp.

 {
     _known_solutions =
         _ode.getKnownSolutions(_time_disc.getCurrentTime(), x, process_id);
 }

◆ getA()

void NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::getA ( GlobalMatrix & A ) const

inlineoverride

Definition at line 188 of file TimeDiscretizedODESystem.h.

     {
         _mat_trans->computeA(*_M, *_K, A);
     }

◆ getMatrixSpecifications()

MathLib::MatrixSpecifications NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::getMatrixSpecifications ( const int process_id ) const

inlineoverride

Definition at line 219 of file TimeDiscretizedODESystem.h.

     {
         return _ode.getMatrixSpecifications(process_id);
     }

◆ getRhs()

void NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::getRhs	(	GlobalVector const &	x_prev,
		GlobalVector &	rhs
	)		const

inlineoverride

Definition at line 193 of file TimeDiscretizedODESystem.h.

     {
         _mat_trans->computeRhs(*_M, *_K, *_b, x_prev, rhs);
     }

◆ getTimeDiscretization()

TimeDisc& NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::getTimeDiscretization ( )

inlineoverridevirtual

Exposes the used time discretization scheme.

Implements NumLib::TimeDiscretizedODESystemBase< NonlinearSolverTag::Picard >.

Definition at line 218 of file TimeDiscretizedODESystem.h.

218 { return _time_disc; }

◆ isLinear()

bool NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::isLinear ( ) const

inlineoverride

Definition at line 206 of file TimeDiscretizedODESystem.h.

206 { return _ode.isLinear(); }

◆ postIteration()

IterationResult NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::postIteration ( GlobalVector const & x )

inlineoverride

Definition at line 213 of file TimeDiscretizedODESystem.h.

     {
         return _ode.postIteration(x);
     }

◆ preIteration()

void NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::preIteration	(	const unsigned	iter,
		GlobalVector const &	x
	)

inlineoverride

Definition at line 208 of file TimeDiscretizedODESystem.h.

     {
         _ode.preIteration(iter, x);
     }

Member Data Documentation

◆ _b

GlobalVector* NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_b

private

Matrix \( b \).

Definition at line 238 of file TimeDiscretizedODESystem.h.

◆ _b_id

std::size_t NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_b_id = 0u

private

ID of the _b vector.

Definition at line 242 of file TimeDiscretizedODESystem.h.

◆ _K

GlobalMatrix* NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_K

private

Matrix \( K \).

Definition at line 237 of file TimeDiscretizedODESystem.h.

◆ _K_id

std::size_t NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_K_id = 0u

private

ID of the _K matrix.

Definition at line 241 of file TimeDiscretizedODESystem.h.

◆ _known_solutions

std::vector<NumLib::IndexValueVector<Index> > const* NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_known_solutions

private

Initial value:

=

nullptr

stores precomputed values for known solutions

Definition at line 233 of file TimeDiscretizedODESystem.h.

◆ _M

GlobalMatrix* NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_M

private

Matrix \( M \).

Definition at line 236 of file TimeDiscretizedODESystem.h.

◆ _M_id

std::size_t NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_M_id = 0u

private

ID of the _M matrix.

Definition at line 240 of file TimeDiscretizedODESystem.h.

◆ _mat_trans

std::unique_ptr<MatTrans> NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_mat_trans

private

the object used to compute the matrix/vector for the nonlinear solver

Definition at line 230 of file TimeDiscretizedODESystem.h.

◆ _ode

ODE& NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_ode

private

ode the ODE being wrapped

Definition at line 226 of file TimeDiscretizedODESystem.h.

◆ _time_disc

TimeDisc& NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_time_disc

private

the time discretization to being used

Definition at line 227 of file TimeDiscretizedODESystem.h.

◆ _xdot_ids

std::vector<std::size_t> NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::_xdot_ids

mutableprivate

Definition at line 243 of file TimeDiscretizedODESystem.h.

◆ ODETag

const ODESystemTag NumLib::TimeDiscretizedODESystem< ODESystemTag::FirstOrderImplicitQuasilinear, NonlinearSolverTag::Picard >::ODETag

static

Initial value:

=

ODESystemTag::FirstOrderImplicitQuasilinear

NumLib::ODESystemTag::FirstOrderImplicitQuasilinear

@ FirstOrderImplicitQuasilinear

A tag indicating the type of ODE.

Definition at line 167 of file TimeDiscretizedODESystem.h.

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

NumLib/ODESolver/TimeDiscretizedODESystem.h
NumLib/ODESolver/TimeDiscretizedODESystem.cpp

Detailed Description

Public Types

Public Member Functions

Static Public Attributes

Private Types

Private Attributes

Member Typedef Documentation

◆ Index

◆ MatTrans

◆ ODE

◆ TimeDisc

Constructor & Destructor Documentation

◆ TimeDiscretizedODESystem()

◆ ~TimeDiscretizedODESystem()

Member Function Documentation

◆ applyKnownSolutions()

◆ applyKnownSolutionsPicard()

◆ assemble()

◆ computeKnownSolutions()

◆ getA()

◆ getMatrixSpecifications()

◆ getRhs()

◆ getTimeDiscretization()

◆ isLinear()

◆ postIteration()

◆ preIteration()

Member Data Documentation

◆ _b

◆ _b_id

◆ _K

◆ _K_id

◆ _known_solutions

◆ _M

◆ _M_id

◆ _mat_trans

◆ _ode

◆ _time_disc

◆ _xdot_ids

◆ ODETag