Detailed Description

template<class T>
class gismo::gsNsTimeIntegrator< T >

Time integation for incompressible Navier-Stokes equations.

Inheritance diagram for gsNsTimeIntegrator< T >:

Collaboration diagram for gsNsTimeIntegrator< T >:

Public Member Functions
const gsBoundaryInterface &	aleInterface () const
	get mapping between the flow domain patches and the ALE mapping patches (if only some patches of the flow domain are deformed)

const std::vector< gsMatrix< T > > &	allFixedDofs () const
	Returns all the Dirichlet values (if applicable)

virtual void	assemble ()
	assemble the linear system for the nonlinear solver

virtual void	assemble (bool)
	assemble the linear system for the nonlinear solver

virtual bool	assemble (const gsMatrix< T > &solutionVector, const std::vector< gsMatrix< T > > &fixedDDoFs)=0
	assemble the linear system for the nonlinear solver

virtual bool	assemble (const gsMatrix< T > &solutionVector, const std::vector< gsMatrix< T > > &fixedDoFs)

virtual void	assemble (const gsMultiPatch< T > &)
	assemble the linear system for the nonlinear solver

bool	check ()
	checks for consistency and legal values of the stored members.

virtual gsAssembler *	clone () const
	Clone this Assembler, making a deep copy.

void	computeDirichletDofs (short_t unk=0)
	Triggers computation of the Dirichlet dofs.

virtual void	constructSolution (const gsMatrix< T > &, const std::vector< gsMatrix< T > > &, gsMultiPatch< T > &) const
	construct the solution using the stiffness matrix assembler

virtual void	constructSolution (const gsMatrix< T > &, gsMultiPatch< T > &, const gsVector< index_t > &) const
	construct the solution using the stiffness matrix assembler

virtual void	constructSolution (const gsMatrix< T > &, gsMultiPatch< T > &, short_t=0) const
	construct the solution using the stiffness matrix assembler

virtual void	constructSolution (const gsMatrix< T > &solVector, const std::vector< gsMatrix< T > > &fixedDDofs, gsMultiPatch< T > &result, const gsVector< index_t > &unknowns) const
	construct the solution using the stiffness matrix assembler

virtual gsAssembler *	create () const
	Create an empty Assembler of the derived type and return a pointer to it. Call the initialize functions to set the members.

virtual void	eliminateFixedDofs ()
	Eliminates new Dirichelt degrees of fredom.

void	finalize ()
	finishes the assembling of the system matrix, i.e. calls its .makeCompressed() method.

const gsMatrix< T > &	fixedDofs (short_t unk=0) const
	Returns the Dirichlet values for a unknown (if applicable)

virtual void	getFixedDofs (index_t patch, boxSide side, gsMatrix< T > &ddofs) const

	gsNsTimeIntegrator (gsNsAssembler< T > &stiffAssembler_, gsMassAssembler< T > &massAssembler_, gsMultiPatch< T > ALEvelocity=nullptr, gsBoundaryInterface interfaceALE2Flow=nullptr)

void	homogenizeFixedDofs (short_t unk=0)
	Sets any Dirichlet values to homogeneous (if applicable)

void	initialize (const gsPde< T > &pde, const gsBasisRefs< T > &basis, const gsOptionList &opt=defaultOptions())
	Intitialize function for, sets data fields using the pde, a vector of bases and assembler options.

void	initialize (const gsPde< T > &pde, const gsMultiBasis< T > &bases, const gsOptionList &opt=defaultOptions())
	Intitialize function for, sets data fields using the pde, a multi-basis and assembler options.

void	initialize (const gsPde< T > &pde, const gsStdVectorRef< gsMultiBasis< T > > &bases, const gsOptionList &opt=defaultOptions())
	Intitialize function for, sets data fields using the pde, a vector of multi-basis and assembler options.

void	initialize (typename gsPde< T >::Ptr pde, const gsStdVectorRef< gsMultiBasis< T > > &bases, const gsOptionList &opt=defaultOptions())
	Intitialize function for, sets data fields using the pde, a vector of multi-basis and assembler options.

void	makeTimeStep (T timeStep)
	make a time step according to a chosen scheme

gsBaseAssembler< T > &	mAssembler ()
	assemblers' accessors

const gsSparseMatrix< T > &	matrix () const
	Returns the left-hand global matrix.

gsMultiBasis< T > &	multiBasis (index_t k=0)
	Return the multi-basis. Note: if the basis is altered, then refresh() should be called.

const gsMultiBasis< T > &	multiBasis (index_t k=0) const
	Return the multi-basis.

index_t	numberIterations () const
	number of iterations Newton's method required at the last time step; always 1 for IMEX

index_t	numColNz () const
	Provides an estimation of the number of non-zero matrix entries per column. This value can be used for sparse matrix memory allocation.

virtual int	numDofs () const
	returns number of degrees of freedom

virtual index_t	numFixedDofs () const
	get the size of the Dirichlet vector for elimination

size_t	numMultiBasis () const
	Returns the number of multi-bases.

const gsMultiPatch< T > &	patches () const
	Return the multipatch.

const gsPde< T > &	pde () const
	Return the Pde.

void	penalizeDirichletDofs (short_t unk=0)

T	penalty (index_t k) const
	Penalty constant for patch k, used for Nitsche and / Discontinuous Galerkin methods.

template<class ElementVisitor >
void	push ()
	Iterates over all elements of the domain and applies the ElementVisitor.

template<class BElementVisitor >
void	push (const bcContainer &BCs)
	Iterates over all elements of the boundaries BCs and applies the BElementVisitor.

template<class BElementVisitor >
void	push (const BElementVisitor &visitor, const boundary_condition< T > &BC)
	Applies the BElementVisitor to the boundary condition BC.

template<class ElementVisitor >
void	push (const ElementVisitor &visitor)
	Iterates over all elements of the domain and applies the ElementVisitor.

template<class InterfaceVisitor >
void	pushInterface ()
	Iterates over all elements of interfaces and applies the InterfaceVisitor.

void	recoverState ()
	recover solver state from the previously saved state

virtual void	refresh ()
	Creates the mappers and setups the sparse system. to be implemented in derived classes, see scalarProblemGalerkinRefresh() for a possible implementation.

const gsMatrix< T > &	rhs () const
	Returns the left-hand side vector(s) ( multiple right hand sides possible )

void	saveState ()
	save solver state

void	setFixedDofs (const gsMatrix< T > &coefMatrix, short_t unk=0, size_t patch=0)
	the user can manually set the dirichlet Dofs for a given patch and unknown, based on the Basis coefficients

virtual void	setFixedDofs (const std::vector< gsMatrix< T > > &ddofs)
	set all fixed degrees of freedom

virtual void	setFixedDofs (const std::vector< gsMatrix< T > > &ddofs)
	set all fixed degrees of freedom

virtual void	setFixedDofs (index_t patch, boxSide side, const gsMatrix< T > &ddofs, bool oneUnk=false)
	set all fixed degrees of freedom

void	setFixedDofVector (gsMatrix< T > vals, short_t unk=0)
	the user can manually set the dirichlet Dofs for a given patch and unknown.

void	setSolutionVector (const gsMatrix< T > &solutionVector)
	set intial conditions

void	setSparseSystem (gsSparseSystem< T > &sys)
	Swaps the actual sparse system with the given one.

const gsMatrix< T > &	solutionVector () const
	returns solution vector

const gsSparseSystem< T > &	system () const
	Returns the left-hand global matrix.

virtual void	updateSolution (const gsMatrix< T > &solVector, gsMultiPatch< T > &result, T theta=(T)(1)) const
	Update solution by adding the computed solution vector to the current solution specified by.

Static Public Member Functions
static gsOptionList	defaultOptions ()
	Returns the list of default options for assembly.

Protected Member Functions
template<class ElementVisitor >
void	apply (ElementVisitor &visitor, size_t patchIndex=0, boxSide side=boundary::none)
	Generic assembly routine for volume or boundary integrals.

template<class InterfaceVisitor >
void	apply (InterfaceVisitor &visitor, const boundaryInterface &bi)
	Generic assembly routine for patch-interface integrals.

void	computeDirichletDofsIntpl (const gsDofMapper &mapper, const gsMultiBasis< T > &mbasis, const short_t unk_=0)
	calculates the values of the eliminated dofs based on Interpolation.

void	computeDirichletDofsL2Proj (const gsDofMapper &mapper, const gsMultiBasis< T > &mbasis, const short_t unk_=0)
	calculates the values of the eliminated dofs based on L2 Projection.

void	implicitLinear ()
	time integraton schemes

void	scalarProblemGalerkinRefresh ()
	A prototype of the refresh function for a "standard" scalar problem. Creats one mapper based on the set options and initializes the sparse system (without allocating memory.

Protected Attributes
gsMatrix< T >	constRHS
	Newton stuff.

bool	hasSavedState
	saved state

bool	initialized
	initialization flag

gsBoundaryInterface *	interface
	mapping between the geometry patches and the ALE velocity patches

std::vector< gsMultiBasis< T > >	m_bases

std::vector< gsMatrix< T > >	m_ddof

gsOptionList	m_options
	Options.

memory::shared_ptr< gsPde< T > >	m_pde_ptr

gsSparseSystem< T >	m_system
	Global sparse linear system.

gsMassAssembler< T > &	massAssembler
	assembler object that generates the mass matrix

T	oldTimeStep
	IMEX stuff.

gsMatrix< T >	solVector
	solution vector

gsNsAssembler< T > &	stiffAssembler
	assembler object that generates the static system

T	tStep
	time step length

gsMultiPatch< T > *	velocityALE
	ALE velocity.

Constructor & Destructor Documentation

◆ gsNsTimeIntegrator()

template<class T >

gsNsTimeIntegrator	(	gsNsAssembler< T > &	stiffAssembler_,
		gsMassAssembler< T > &	massAssembler_,
		gsMultiPatch< T > *	ALEvelocity = `nullptr`,
		gsBoundaryInterface *	interfaceALE2Flow = `nullptr`
	)

constructor method. requires a gsNsAssembler for construction of the static linear system and a gsMassAssembler for the mass matrix

Member Function Documentation

◆ apply()

template<class T >

template<class ElementVisitor >

void apply	(	ElementVisitor &	visitor,
		size_t	patchIndex = `0`,
		boxSide	side = `boundary::none`
	)

protectedinherited

Generic assembly routine for volume or boundary integrals.

Parameters

[in]	visitor	The visitor for the boundary or volume integral
[in]	patchIndex	The considered patch
[in]	side	The considered boundary side, only necessary for boundary integrals.

◆ assemble()

template<class T >

bool assemble	(	const gsMatrix< T > &	solutionVector,
		const std::vector< gsMatrix< T > > &	fixedDDoFs
	)

virtual

Assembles the tangential linear system for Newton's method given the current solution in the form of free and fixed/Dirichelt degrees of freedom. Checks if the current solution is valid (Newton's solver can exit safely if invalid).

Implements gsBaseAssembler< T >.

◆ computeDirichletDofs()

template<class T >

void computeDirichletDofs ( short_t unk = 0 )

inherited

Triggers computation of the Dirichlet dofs.

Parameters

[in] unk the considered unknown

◆ computeDirichletDofsIntpl()

template<class T >

void computeDirichletDofsIntpl	(	const gsDofMapper &	mapper,
		const gsMultiBasis< T > &	mbasis,
		const short_t	unk_ = `0`
	)

protectedinherited

calculates the values of the eliminated dofs based on Interpolation.

Parameters

[in]	mapper	the dofMapper for the considered unknown
[in]	mbasis	the multipabasis for the considered unknown
[in]	unk_	the considered unknown

◆ computeDirichletDofsL2Proj()

template<class T >

void computeDirichletDofsL2Proj	(	const gsDofMapper &	mapper,
		const gsMultiBasis< T > &	mbasis,
		const short_t	unk_ = `0`
	)

protectedinherited

calculates the values of the eliminated dofs based on L2 Projection.

Parameters

[in]	mapper	the dofMapper for the considered unknown
[in]	mbasis	the multipabasis for the considered unknown
[in]	unk_	the considered unknown

◆ fixedDofs()

template<class T >

const gsMatrix< T > & fixedDofs ( short_t unk = 0 ) const

inlineinherited

Returns the Dirichlet values for a unknown (if applicable)

Parameters

[in] unk the considered unknown

◆ getFixedDofs()

template<class T >

void getFixedDofs	(	index_t	patch,
		boxSide	side,
		gsMatrix< T > &	ddofs
	)		const

virtualinherited

get fixed degrees of freedom corresponding to a given part of the bdry. each column of the resulting matrix correspond to one variable/component of the vector-valued vairable

◆ homogenizeFixedDofs()

template<class T >

void homogenizeFixedDofs ( short_t unk = 0 )

inlineinherited

Sets any Dirichlet values to homogeneous (if applicable)

Parameters

[in] unk the considered unknown

◆ penalizeDirichletDofs()

template<class T >

void penalizeDirichletDofs ( short_t unk = 0 )

inherited

Enforce Dirichlet boundary conditions by diagonal penalization

Parameters

[in] unk the considered unknown

◆ setFixedDofs()

template<class T >

void setFixedDofs	(	const gsMatrix< T > &	coefMatrix,
		short_t	unk = `0`,
		size_t	patch = `0`
	)

inherited

the user can manually set the dirichlet Dofs for a given patch and unknown, based on the Basis coefficients

Parameters

[in]	coefMatrix	the coefficients of the function
[in]	unk	the consideren unknown
[in]	patch	the patch index

◆ setFixedDofVector()

template<class T >

void setFixedDofVector	(	gsMatrix< T >	vals,
		short_t	unk = `0`
	)

inherited

the user can manually set the dirichlet Dofs for a given patch and unknown.

Parameters

[in]	vals	the values of the eliminated dofs.
[in]	unk	the considered unknown

◆ updateSolution()

template<class T >

void updateSolution	(	const gsMatrix< T > &	solVector,
		gsMultiPatch< T > &	result,
		T	theta = `(T)(1)`
	)		const

virtualinherited

Update solution by adding the computed solution vector to the current solution specified by.

result. This method assumes that all: unknowns have the same basis.

Parameters

[in]	solVector	the solution vector obtained from the linear system
[out]	result	the solution in form of a gsMultiBasis,

solVector is added to the: coefficients of result.

Parameters

[in] theta damping factor for update, theta = 1 corresponds to a full step.

Member Data Documentation

◆ m_bases

template<class T >

std::vector< gsMultiBasis<T> > m_bases

protectedinherited

The discretization bases corresponding to the patches and to the number of solution fields that are to be computed. One entry of the vector corresponds to one or more unknown (in case of a system of PDEs)

◆ m_ddof

template<class T >

std::vector<gsMatrix<T> > m_ddof

protectedinherited

Fixed DoF values (if applicable, for instance eliminated Dirichlet DoFs). One entry of the vector corresponds to exactly one unknown, i.e. the size of m_ddof must fit m_system.colBlocks().

◆ m_pde_ptr

template<class T >

memory::shared_ptr<gsPde<T> > m_pde_ptr

protectedinherited

The PDE: contains multi-patch domain, boundary conditions and coeffcient functions

Detailed Description

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Constructor & Destructor Documentation

◆ gsNsTimeIntegrator()

Member Function Documentation

◆ apply()

◆ assemble()

◆ computeDirichletDofs()

◆ computeDirichletDofsIntpl()

◆ computeDirichletDofsL2Proj()

◆ fixedDofs()

◆ getFixedDofs()

◆ homogenizeFixedDofs()

◆ penalizeDirichletDofs()

◆ setFixedDofs()

◆ setFixedDofVector()

◆ updateSolution()

Member Data Documentation

◆ m_bases

◆ m_ddof

◆ m_pde_ptr