gsNsTimeIntegrator< T > Class Template Reference

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 (bool saveEliminationMatrix=false)
	assembly procedure for linear problems
virtual bool	assemble (const gsMatrix< T > &solutionVector, const std::vector< gsMatrix< T > > &fixedDoFs)
	assemble the linear system for the nonlinear solver
virtual void	assemble ()
	Main assemble routine, to be implemented in derived classes.
virtual void	assemble (const gsMultiPatch< T > &curSolution)
	Main non-linear assemble routine with input from current solution.
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. More...
virtual void	constructSolution (const gsMatrix< T > &solVector, const std::vector< gsMatrix< T > > &fixedDDofs, gsMultiPatch< T > &result, const gsVector< index_t > &unknowns) const
	Constructs solution as a gsMultiPatch object from the solution vector and fixed DoFs.
void	constructSolution (gsMultiPatch< T > &velocity, gsMultiPatch< T > &pressure) const
	construct the solution using the stiffness matrix assembler
virtual void	constructSolution (const gsMatrix< T > &solVector, gsMultiPatch< T > &result, short_t unk=0) const
	Construct solution from computed solution vector for a single unknows. More...
virtual void	constructSolution (const gsMatrix< T > &solVector, gsMultiPatch< T > &result, const gsVector< index_t > &unknowns) const
	Construct solution from computed solution vector for a set of unknowns. The result is a vectorfield, where each component is given the corresponding entry of. More...
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) More...
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) More...
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	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 gsBasisRefs< T > &basis, const gsOptionList &opt=defaultOptions())
	Intitialize function for, sets data fields using the pde, a vector of bases 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.
const gsMultiBasis< T > &	multiBasis (index_t k=0) const
	Return the multi-basis.
gsMultiBasis< T > &	multiBasis (index_t k=0)
	Return the multi-basis. Note: if the basis is altered, then refresh() should be called.
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 ElementVisitor >
void	push (const ElementVisitor &visitor)
	Iterates over all elements of the domain and applies the ElementVisitor.
template<class BElementVisitor >
void	push (const BElementVisitor &visitor, const boundary_condition< T > &BC)
	Applies the BElementVisitor to the boundary condition BC.
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
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 Dirichet degrees of freedom on a given side of a given patch from a given matrix. More...
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 More...
void	setFixedDofVector (gsMatrix< T > vals, short_t unk=0)
	the user can manually set the dirichlet Dofs for a given patch and unknown. More...
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. More...

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. More...
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. More...
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. More...
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	(	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

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.

void computeDirichletDofs ( short_t  unk = 0 )

inherited

Triggers computation of the Dirichlet dofs.

Parameters

[in]

unk

the considered unknown

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

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

void constructSolution ( const gsMatrix< T > &  solVector, gsMultiPatch< T > &  result, short_t  unk = 0  ) const

virtualinherited

Construct solution from computed solution vector for a single unknows.

Parameters

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

void constructSolution ( const gsMatrix< T > &  solVector, gsMultiPatch< T > &  result, const gsVector< index_t > &  unknowns  ) const

virtualinherited

Construct solution from computed solution vector for a set of unknowns. The result is a vectorfield, where each component is given the corresponding entry of.

unknowns. This method assumes that the specified unknowns have the

same basis.

Parameters

[in]	solVector	the solution vector obtained from the linear system
[out]	result	the solution seen as vectorfield in form of a gsMultiBasis
[in]	unknowns	the considered vector of unknowns

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

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

void homogenizeFixedDofs ( short_t  unk = 0 )

inlineinherited

Sets any Dirichlet values to homogeneous (if applicable)

Parameters

[in]

unk

the considered unknown

void penalizeDirichletDofs ( short_t  unk = 0 )

inherited

Enforce Dirichlet boundary conditions by diagonal penalization

Parameters

[in]

unk

the considered unknown

void setFixedDofs ( index_t  patch, boxSide  side, const gsMatrix< T > &  ddofs, bool  oneUnk = false  )

virtualinherited

Set Dirichet degrees of freedom on a given side of a given patch from a given matrix.

A usual source of degrees of freedom is another geometry where it is known that the corresponding bases match. The function is not safe in that it assumes a correct numbering of DoFs in a given matrix. To allocate space for these DoFs in the assembler, add an empty/zero Dirichlet boundary condition to gsBoundaryCondtions container that is passed to the assembler constructor.

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

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

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

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)

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().

memory::shared_ptr<gsPde<T> > m_pde_ptr

protectedinherited

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