#include <hyperReduction.H>

Public Types
using	SnapshotsListTuple = std::tuple<std::decay_t<SnapshotsLists>...>

using	FieldsTuple

template<std::size_t N>
using	NthFieldListType

template<std::size_t N>
using	NthFieldType = typename NthFieldListType<N>::value_type

Public Member Functions
	HyperReduction (label n_modes, label n_nodes, Eigen::VectorXi initialSeeds, word problemName, SnapshotsLists &&...snapshotsLists)
	Construct HyperReduction class, interpolation-based.

	HyperReduction (label n_modes, label n_nodes, unsigned int vectorial_dim, label n_cells, Eigen::VectorXi initialSeeds, word problemName)
	Construct HyperReduction class.

void	offlineGappyDEIM (Eigen::MatrixXd &snapshotsModes, Eigen::VectorXd &normalizingWeights)
	Methods implemented: 'GappyDEIM' from "DEIM, Chaturantabut, Saifon, and Danny C. Sorensen. "Nonlinear model reduction via discrete empirical interpolation.

void	offlineGappyDEIM (Eigen::MatrixXd &snapshotsModes, Eigen::VectorXd &normalizingWeights, word folderMethodName)

void	offlineECP (Eigen::MatrixXd &snapshotsModes, Eigen::VectorXd &normalizingWeights)
	Methods implemented: 'ECP' from "ECP, Hernandez, Joaquin Alberto, Manuel Alejandro Caicedo, and Alex Ferrer. "Dimensional hyper-reduction of nonlinear finite element models via empirical cubature.

void	offlineECP (Eigen::MatrixXd &snapshotsModes, Eigen::VectorXd &normalizingWeights, word folderMethodName)

void	initSeeds (Eigen::VectorXd mp_not_mask, std::set< label > nodePointsSet)
	TODO.

void	computeLS (Eigen::MatrixXd &J, Eigen::MatrixXd &JWhole, Eigen::VectorXd &b, Eigen::VectorXd &q)
	TODO.

void	getModesSVD (SnapshotsListTuple &SnapshotsListTuple, Eigen::MatrixXd &modesSVD, Eigen::VectorXd &fieldWeights, bool saveModesFlag=false)
	TODO.

void	getModesSVD (SnapshotsListTuple &snapshotsListTuple, Eigen::MatrixXd &modesSVD, Eigen::VectorXd &fieldWeights, Eigen::MatrixXd &modesSVDBoundary, Eigen::VectorXd &fieldWeightsBoundary, bool saveModesFlag)
	TODO.

void	updateNodes (Eigen::SparseMatrix< double > &P, label &ind_max, Eigen::VectorXd &mp_not_mask)
	TODO.

template<typename SnapshotsList>
void	stackSnapshots (SnapshotsList sList, Eigen::MatrixXd &snapshotsMatrix, Eigen::VectorXd &fieldWeights)
	TODO.

template<typename SnapshotsList>
void	stackSnapshotsBoundary (SnapshotsList sList, List< Eigen::MatrixXd > &snapshotsMatrixBoundary, List< Eigen::VectorXd > &fieldWeightsBoundary)
	TODO.

template<typename SnapshotsList>
void	saveModes (SnapshotsList sList, Eigen::MatrixXd &snapshotsMatrix, unsigned int &rowIndex, unsigned int &modeIndex, word folder)
	TODO.

template<typename SnapshotsList>
void	saveModes (SnapshotsList sList, Eigen::MatrixXd &snapshotsMatrix, Eigen::MatrixXd &snapshotsMatrixBoundary, unsigned int &rowIndex, unsigned int &rowIndexBoundary, unsigned int &modeIndex, word folder)
	TODO.

template<typename SnapshotsList>
void	stackNames (SnapshotsList sList)
	TODO.

template<typename SnapshotsList>
void	stackDimensions (SnapshotsList sList)
	TODO.

template<typename SnapshotsList>
void	sumDimensions (double sum, SnapshotsList sList)
	TODO.

void	evaluatePinv (Eigen::SparseMatrix< double > &Projector, Eigen::MatrixXd &Modes, Eigen::VectorXd &fieldWeights)
	Compute the pseudo-inverse of the matrix M restricted with the projector P.

void	evaluateWPU (Eigen::SparseMatrix< double > &Projector, Eigen::MatrixXd &Modes, Eigen::VectorXd &fieldWeights, Eigen::VectorXd &quadratureWeights)
	Compute the pseudo-inverse of the matrix M restricted with the projector P.

void	generateSubmesh (label layers, const fvMesh &mesh)
	Compute the submesh common to all fields in SnapshotsLists.

List< label >	global2local (List< label > &points, fvMeshSubset &submesh)
	Get local indices in the submesh from indices in the global ones.

template<typename FieldType>
autoPtr< FieldType >	interpolateField (const FieldType &field)
	TODO.

template<typename Field>
constexpr unsigned int	get_field_dim ()
	TODO.

template<typename LastList>
constexpr unsigned int	compute_vectorial_dim (LastList x)
	TODO.

template<typename List, typename... RemainingLists>
constexpr unsigned int	compute_vectorial_dim (List &&head, RemainingLists &&...tail)
	TODO.

template<typename... FieldsArgs>
void	eigen2fields (Eigen::VectorXd &eFields, FieldsArgs &&... oFields)
	TODO.

void	initReshapeMat (Eigen::SparseMatrix< double > &reshapeMat)
	TODO.

void	createMasks (bool offlineStage=true)
	TODO.

void	getSnapMatrix (Eigen::MatrixXd &snapMatrix, Eigen::VectorXd &fieldWeights)
	TODO.

void	getSnapMatrix (Eigen::MatrixXd &snapMatrix, Eigen::VectorXd &fieldWeights, List< Eigen::MatrixXd > &snapMatrixBoundary, List< Eigen::VectorXd > &fieldWeightsBoundary)
	TODO.

Static Public Member Functions
static double	s_optimality (Eigen::MatrixXd &A)
	TODO.

Public Attributes
word	methodName

unsigned int	vectorial_dim

unsigned int	sumFieldsDim

ITHACAparameters *	para

label	n_boundary_patches

List< label >	n_boundary_cells_list

label	n_boundary_cells

label	n_modes
	The maximum number of modes to be considered.

label	n_nodes
	The maximum number of modes to be considered.

label	n_snapshots
	The length of the snapshots lists.

Eigen::VectorXi	initialSeeds

Eigen::VectorXi	nodes

word	problemName
	The name of the non-linear function e.g. HR_method/residual.

SnapshotsListTuple	snapshotsListTuple
	The snapshots matrix containing the nonlinear function or operator.

List< word >	fieldNames
	Names of the fields.

List< unsigned int >	fieldDims
	Dimensions of the fields.

label	n_cells
	Int Number of Cells;.

label	n_cellsSubfields
	Int Number of Cells in submeshes;.

autoPtr< IOList< label > >	nodePoints
	Nodes in the case of the a nonlinear function.

autoPtr< IOList< labelList > >	totalNodePoints
	List of label lists of the nodes and corresponding surrounding nodes.

autoPtr< IOList< label > >	uniqueNodePoints
	List of the unique indices of the nodes that define the submesh.

word	folderProblem
	Folder for the HR problem.

word	folderMethod
	Folder for the selected HR method.

List< label >	localNodePoints
	Indices of the local node points in the subMesh.

Eigen::MatrixXd	basisMatrix
	Orthonormal basis of HR.

Eigen::VectorXd	normalizingWeights

Eigen::MatrixXd	renormalizedBasisMatrix
	Renormalized basis of HR.

Eigen::MatrixXd	pinvPU

Eigen::MatrixXd	wPU

Eigen::VectorXd	eigenValueseig

Eigen::SparseMatrix< double >	P
	The P matrix of the HyperReduction method. The nodes are ordered in the order of insertion during the greedy procedure. The components related to the same node follow immediately.

Eigen::SparseMatrix< double >	field2submesh

Eigen::SparseMatrix< double >	submesh2nodes

Eigen::VectorXi	submesh2nodesMask

Eigen::VectorXd	quadratureWeights
	Quadrature weights. Ordered in the same order of matrix P.

autoPtr< fvMeshSubset >	submesh
	Submesh of the HyperReduction method.

autoPtr< volVectorField >	submesh_field
	Submeshes.

Eigen::MatrixXd	MatrixOnline
	Online Matrix.

Static Public Attributes
static constexpr auto	n_fields = sizeof...(SnapshotsLists)

Detailed Description

template<typename... SnapshotsLists>
class HyperReduction< SnapshotsLists >

Examples: 08DEIM.C.

Definition at line 47 of file hyperReduction.H.

Member Typedef Documentation

◆ FieldsTuple

template<typename... SnapshotsLists>

using HyperReduction< SnapshotsLists >::FieldsTuple

Initial value:

std::tuple<typename std::decay_t<SnapshotsLists>::value_type ...>

Definition at line 53 of file hyperReduction.H.

◆ NthFieldListType

template<typename... SnapshotsLists>

template<std::size_t N>

using HyperReduction< SnapshotsLists >::NthFieldListType

Initial value:

typename

std::tuple_element<N, SnapshotsListTuple>::type

Definition at line 62 of file hyperReduction.H.

◆ NthFieldType

template<typename... SnapshotsLists>

template<std::size_t N>

using HyperReduction< SnapshotsLists >::NthFieldType = typename NthFieldListType<N>::value_type

Definition at line 66 of file hyperReduction.H.

◆ SnapshotsListTuple

template<typename... SnapshotsLists>

using HyperReduction< SnapshotsLists >::SnapshotsListTuple = std::tuple<std::decay_t<SnapshotsLists>...>

Definition at line 52 of file hyperReduction.H.

Constructor & Destructor Documentation

◆ HyperReduction() [1/2]

template<typename... SnapshotsLists>

HyperReduction< SnapshotsLists >::HyperReduction	(	label	n_modes,
		label	n_nodes,
		Eigen::VectorXi	initialSeeds,
		word	problemName,
		SnapshotsLists &&...	snapshotsLists )

Construct HyperReduction class, interpolation-based.

SnapshotsLists is a variadic argument of PtrLists of fields e.g. for incompressible Navier-Stokes PtrList<volVectorField>, PtrList<volScalarField> for velocity and pressure.

Parameters

[in]	hrMethod	the chosen HR method
[in]	n_modes	dimension of the HR basis
[in]	n_nodes	number of nodes
[in]	initialSeeds	initial nodes
[in]	problemName	name of the function to be hyper-reduced
[in]	snapshotsLists	lists of fields

Examples: 08DEIM.C.

Definition at line 40 of file hyperReduction.templates.H.

◆ HyperReduction() [2/2]

template<typename... SnapshotsLists>

HyperReduction< SnapshotsLists >::HyperReduction	(	label	n_modes,
		label	n_nodes,
		unsigned int	vectorial_dim,
		label	n_cells,
		Eigen::VectorXi	initialSeeds,
		word	problemName )

Construct HyperReduction class.

Parameters

[in]	n_modes	Dimension of the HR basis
[in]	n_nodes	Number of nodes
[in]	vectorial_dim	Field dimension (1 for volScalarField 3 for volVectorField)
[in]	n_cells	Number of cells
[in]	initialSeeds	Initial nodes
[in]	problemName	Name of the function to be hyper-reduced

Definition at line 111 of file hyperReduction.templates.H.

Member Function Documentation

◆ compute_vectorial_dim() [1/2]

template<typename... SnapshotsLists>

template<typename LastList>

unsigned int HyperReduction< SnapshotsLists >::compute_vectorial_dim ( LastList x )

inlineconstexpr

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 420 of file hyperReduction.H.

◆ compute_vectorial_dim() [2/2]

template<typename... SnapshotsLists>

template<typename List, typename... RemainingLists>

unsigned int HyperReduction< SnapshotsLists >::compute_vectorial_dim	(	List &&	head,
		RemainingLists &&...	tail )

inlineconstexpr

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 431 of file hyperReduction.H.

◆ computeLS()

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::computeLS	(	Eigen::MatrixXd &	J,
		Eigen::MatrixXd &	JWhole,
		Eigen::VectorXd &	b,
		Eigen::VectorXd &	q )

TODO.

Definition at line 854 of file hyperReduction.templates.H.

◆ createMasks()

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::createMasks ( bool offlineStage = true )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 1047 of file hyperReduction.templates.H.

◆ eigen2fields()

template<typename... SnapshotsLists>

template<typename... FieldsArgs>

void HyperReduction< SnapshotsLists >::eigen2fields	(	Eigen::VectorXd &	eFields,
		FieldsArgs &&...	oFields )

inline

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 457 of file hyperReduction.H.

◆ evaluatePinv()

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::evaluatePinv	(	Eigen::SparseMatrix< double > &	Projector,
		Eigen::MatrixXd &	Modes,
		Eigen::VectorXd &	fieldWeights )

Compute the pseudo-inverse of the matrix M restricted with the projector P.

Parameters

[in]	Projector	projector into interpolation nodes
[in]	Modes	matrix to restrict and invert

Definition at line 944 of file hyperReduction.templates.H.

◆ evaluateWPU()

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::evaluateWPU	(	Eigen::SparseMatrix< double > &	Projector,
		Eigen::MatrixXd &	Modes,
		Eigen::VectorXd &	fieldWeights,
		Eigen::VectorXd &	quadratureWeights )

Compute the pseudo-inverse of the matrix M restricted with the projector P.

Parameters

[in]	Projector	projector into interpolation nodes
[in]	Modes	matrix to restrict and invert

Definition at line 958 of file hyperReduction.templates.H.

◆ generateSubmesh()

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::generateSubmesh	(	label	layers,
		const fvMesh &	mesh )

Compute the submesh common to all fields in SnapshotsLists.

Parameters

[in]	layers	projector into interpolation nodes
[in]	mesh	matrix to restrict and invert

Definition at line 983 of file hyperReduction.templates.H.

◆ get_field_dim()

template<typename... SnapshotsLists>

template<typename Field>

unsigned int HyperReduction< SnapshotsLists >::get_field_dim ( )

inlineconstexpr

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 409 of file hyperReduction.H.

◆ getModesSVD() [1/2]

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::getModesSVD	(	SnapshotsListTuple &	SnapshotsListTuple,
		Eigen::MatrixXd &	modesSVD,
		Eigen::VectorXd &	fieldWeights,
		bool	saveModesFlag = false )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 133 of file hyperReduction.templates.H.

◆ getModesSVD() [2/2]

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::getModesSVD	(	SnapshotsListTuple &	snapshotsListTuple,
		Eigen::MatrixXd &	modesSVD,
		Eigen::VectorXd &	fieldWeights,
		Eigen::MatrixXd &	modesSVDBoundary,
		Eigen::VectorXd &	fieldWeightsBoundary,
		bool	saveModesFlag )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 224 of file hyperReduction.templates.H.

◆ getSnapMatrix() [1/2]

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::getSnapMatrix	(	Eigen::MatrixXd &	snapMatrix,
		Eigen::VectorXd &	fieldWeights )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 345 of file hyperReduction.templates.H.

◆ getSnapMatrix() [2/2]

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::getSnapMatrix	(	Eigen::MatrixXd &	snapMatrix,
		Eigen::VectorXd &	fieldWeights,
		List< Eigen::MatrixXd > &	snapMatrixBoundary,
		List< Eigen::VectorXd > &	fieldWeightsBoundary )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 355 of file hyperReduction.templates.H.

◆ global2local()

template<typename... SnapshotsLists>

List< label > HyperReduction< SnapshotsLists >::global2local	(	List< label > &	points,
		fvMeshSubset &	submesh )

Get local indices in the submesh from indices in the global ones.

Parameters

points	The points
submesh	The submesh

Returns: The local indices

Definition at line 1113 of file hyperReduction.templates.H.

◆ initReshapeMat()

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::initReshapeMat ( Eigen::SparseMatrix< double > & reshapeMat )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 878 of file hyperReduction.templates.H.

◆ initSeeds()

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::initSeeds	(	Eigen::VectorXd	mp_not_mask,
		std::set< label >	nodePointsSet )

TODO.

Definition at line 782 of file hyperReduction.templates.H.

◆ interpolateField()

template<typename... SnapshotsLists>

template<typename FieldType>

autoPtr< FieldType > HyperReduction< SnapshotsLists >::interpolateField ( const FieldType & field )

inline

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 397 of file hyperReduction.H.

◆ offlineECP() [1/2]

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::offlineECP	(	Eigen::MatrixXd &	snapshotsModes,
		Eigen::VectorXd &	normalizingWeights )

inline

Methods implemented: 'ECP' from "ECP, Hernandez, Joaquin Alberto, Manuel Alejandro Caicedo, and Alex Ferrer. "Dimensional hyper-reduction of nonlinear finite element models via empirical cubature.

" Computer methods in applied mechanics and engineering 313 (2017): 687-722.". TODO implement non-negative LS.

Definition at line 224 of file hyperReduction.H.

◆ offlineECP() [2/2]

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::offlineECP	(	Eigen::MatrixXd &	snapshotsModes,
		Eigen::VectorXd &	normalizingWeights,
		word	folderMethodName )

Definition at line 678 of file hyperReduction.templates.H.

◆ offlineGappyDEIM() [1/2]

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::offlineGappyDEIM	(	Eigen::MatrixXd &	snapshotsModes,
		Eigen::VectorXd &	normalizingWeights )

inline

Methods implemented: 'GappyDEIM' from "DEIM, Chaturantabut, Saifon, and Danny C. Sorensen. "Nonlinear model reduction via discrete empirical interpolation.

" SIAM Journal on Scientific Computing 32.5 (2010): 2737-2764" and "GNAT, Carlberg, Kevin, et al. "The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows." Journal of Computational Physics 242 (2013): 623-647.". Quasi-optimal point selection algorithm 'SOPT' and optimal point selection 'SOPTE' from "Lauzon, Jessica T., Siu Wun Cheung, Yeonjong Shin, Youngsoo Choi, Dylan Matthew Copeland, and Kevin Huynh. "S-OPT: A Points Selection Algorithm for Hyper-Reduction in Reduced Order Models." arXiv preprint arXiv:2203.16494 (2022).""

Definition at line 210 of file hyperReduction.H.

◆ offlineGappyDEIM() [2/2]

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::offlineGappyDEIM	(	Eigen::MatrixXd &	snapshotsModes,
		Eigen::VectorXd &	normalizingWeights,
		word	folderMethodName )

Definition at line 419 of file hyperReduction.templates.H.

◆ s_optimality()

template<typename... SnapshotsLists>

static double HyperReduction< SnapshotsLists >::s_optimality ( Eigen::MatrixXd & A )

inlinestatic

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 443 of file hyperReduction.H.

◆ saveModes() [1/2]

template<typename... SnapshotsLists>

template<typename SnapshotsList>

void HyperReduction< SnapshotsLists >::saveModes	(	SnapshotsList	sList,
		Eigen::MatrixXd &	snapshotsMatrix,
		Eigen::MatrixXd &	snapshotsMatrixBoundary,
		unsigned int &	rowIndex,
		unsigned int &	rowIndexBoundary,
		unsigned int &	modeIndex,
		word	folder )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 391 of file hyperReduction.templates.H.

◆ saveModes() [2/2]

template<typename... SnapshotsLists>

template<typename SnapshotsList>

void HyperReduction< SnapshotsLists >::saveModes	(	SnapshotsList	sList,
		Eigen::MatrixXd &	snapshotsMatrix,
		unsigned int &	rowIndex,
		unsigned int &	modeIndex,
		word	folder )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 375 of file hyperReduction.templates.H.

◆ stackDimensions()

template<typename... SnapshotsLists>

template<typename SnapshotsList>

void HyperReduction< SnapshotsLists >::stackDimensions ( SnapshotsList sList )

inline

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 337 of file hyperReduction.H.

◆ stackNames()

template<typename... SnapshotsLists>

template<typename SnapshotsList>

void HyperReduction< SnapshotsLists >::stackNames ( SnapshotsList sList )

inline

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 325 of file hyperReduction.H.

◆ stackSnapshots()

template<typename... SnapshotsLists>

template<typename SnapshotsList>

void HyperReduction< SnapshotsLists >::stackSnapshots	(	SnapshotsList	sList,
		Eigen::MatrixXd &	snapshotsMatrix,
		Eigen::VectorXd &	fieldWeights )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 898 of file hyperReduction.templates.H.

◆ stackSnapshotsBoundary()

template<typename... SnapshotsLists>

template<typename SnapshotsList>

void HyperReduction< SnapshotsLists >::stackSnapshotsBoundary	(	SnapshotsList	sList,
		List< Eigen::MatrixXd > &	snapshotsMatrixBoundary,
		List< Eigen::VectorXd > &	fieldWeightsBoundary )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 916 of file hyperReduction.templates.H.

◆ sumDimensions()

template<typename... SnapshotsLists>

template<typename SnapshotsList>

void HyperReduction< SnapshotsLists >::sumDimensions	(	double	sum,
		SnapshotsList	sList )

inline

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 349 of file hyperReduction.H.

◆ updateNodes()

template<typename... SnapshotsLists>

void HyperReduction< SnapshotsLists >::updateNodes	(	Eigen::SparseMatrix< double > &	P,
		label &	ind_max,
		Eigen::VectorXd &	mp_not_mask )

TODO.

Template Parameters

SnapshotsList PtrList of volScalarField or volVectorField

Parameters

[in] sList The list of snapshots

Definition at line 818 of file hyperReduction.templates.H.

Member Data Documentation

◆ basisMatrix

template<typename... SnapshotsLists>

Eigen::MatrixXd HyperReduction< SnapshotsLists >::basisMatrix

Orthonormal basis of HR.

Definition at line 166 of file hyperReduction.H.

◆ eigenValueseig

template<typename... SnapshotsLists>

Eigen::VectorXd HyperReduction< SnapshotsLists >::eigenValueseig

Definition at line 181 of file hyperReduction.H.

◆ field2submesh

template<typename... SnapshotsLists>

Eigen::SparseMatrix<double> HyperReduction< SnapshotsLists >::field2submesh

Definition at line 187 of file hyperReduction.H.

◆ fieldDims

template<typename... SnapshotsLists>

List<unsigned int> HyperReduction< SnapshotsLists >::fieldDims

Dimensions of the fields.

Definition at line 138 of file hyperReduction.H.

◆ fieldNames

template<typename... SnapshotsLists>

List<word> HyperReduction< SnapshotsLists >::fieldNames

Names of the fields.

Definition at line 135 of file hyperReduction.H.

◆ folderMethod

template<typename... SnapshotsLists>

word HyperReduction< SnapshotsLists >::folderMethod

Folder for the selected HR method.

Definition at line 159 of file hyperReduction.H.

◆ folderProblem

template<typename... SnapshotsLists>

word HyperReduction< SnapshotsLists >::folderProblem

Folder for the HR problem.

Definition at line 156 of file hyperReduction.H.

◆ initialSeeds

template<typename... SnapshotsLists>

Eigen::VectorXi HyperReduction< SnapshotsLists >::initialSeeds

Definition at line 123 of file hyperReduction.H.

◆ localNodePoints

template<typename... SnapshotsLists>

List<label> HyperReduction< SnapshotsLists >::localNodePoints

Indices of the local node points in the subMesh.

Definition at line 162 of file hyperReduction.H.

◆ MatrixOnline

template<typename... SnapshotsLists>

Eigen::MatrixXd HyperReduction< SnapshotsLists >::MatrixOnline

Online Matrix.

Definition at line 205 of file hyperReduction.H.

◆ methodName

template<typename... SnapshotsLists>

word HyperReduction< SnapshotsLists >::methodName

Definition at line 50 of file hyperReduction.H.

◆ n_boundary_cells

template<typename... SnapshotsLists>

label HyperReduction< SnapshotsLists >::n_boundary_cells

Definition at line 111 of file hyperReduction.H.

◆ n_boundary_cells_list

template<typename... SnapshotsLists>

List<label> HyperReduction< SnapshotsLists >::n_boundary_cells_list

Definition at line 108 of file hyperReduction.H.

◆ n_boundary_patches

template<typename... SnapshotsLists>

label HyperReduction< SnapshotsLists >::n_boundary_patches

Definition at line 105 of file hyperReduction.H.

◆ n_cells

template<typename... SnapshotsLists>

label HyperReduction< SnapshotsLists >::n_cells

Int Number of Cells;.

Definition at line 141 of file hyperReduction.H.

◆ n_cellsSubfields

template<typename... SnapshotsLists>

label HyperReduction< SnapshotsLists >::n_cellsSubfields

Int Number of Cells in submeshes;.

Definition at line 144 of file hyperReduction.H.

◆ n_fields

template<typename... SnapshotsLists>

auto HyperReduction< SnapshotsLists >::n_fields = sizeof...(SnapshotsLists)

staticconstexpr

Definition at line 55 of file hyperReduction.H.

◆ n_modes

template<typename... SnapshotsLists>

label HyperReduction< SnapshotsLists >::n_modes

The maximum number of modes to be considered.

Definition at line 114 of file hyperReduction.H.

◆ n_nodes

template<typename... SnapshotsLists>

label HyperReduction< SnapshotsLists >::n_nodes

The maximum number of modes to be considered.

Definition at line 117 of file hyperReduction.H.

◆ n_snapshots

template<typename... SnapshotsLists>

label HyperReduction< SnapshotsLists >::n_snapshots

The length of the snapshots lists.

Definition at line 120 of file hyperReduction.H.

◆ nodePoints

template<typename... SnapshotsLists>

autoPtr<IOList<label > > HyperReduction< SnapshotsLists >::nodePoints

Nodes in the case of the a nonlinear function.

Definition at line 147 of file hyperReduction.H.

◆ nodes

template<typename... SnapshotsLists>

Eigen::VectorXi HyperReduction< SnapshotsLists >::nodes

Definition at line 126 of file hyperReduction.H.

◆ normalizingWeights

template<typename... SnapshotsLists>

Eigen::VectorXd HyperReduction< SnapshotsLists >::normalizingWeights

Definition at line 169 of file hyperReduction.H.

◆ P

template<typename... SnapshotsLists>

Eigen::SparseMatrix<double> HyperReduction< SnapshotsLists >::P

The P matrix of the HyperReduction method. The nodes are ordered in the order of insertion during the greedy procedure. The components related to the same node follow immediately.

Definition at line 184 of file hyperReduction.H.

◆ para

template<typename... SnapshotsLists>

ITHACAparameters* HyperReduction< SnapshotsLists >::para

Definition at line 102 of file hyperReduction.H.

◆ pinvPU

template<typename... SnapshotsLists>

Eigen::MatrixXd HyperReduction< SnapshotsLists >::pinvPU

Definition at line 175 of file hyperReduction.H.

◆ problemName

template<typename... SnapshotsLists>

word HyperReduction< SnapshotsLists >::problemName

The name of the non-linear function e.g. HR_method/residual.

Definition at line 129 of file hyperReduction.H.

◆ quadratureWeights

template<typename... SnapshotsLists>

Eigen::VectorXd HyperReduction< SnapshotsLists >::quadratureWeights

Quadrature weights. Ordered in the same order of matrix P.

Definition at line 196 of file hyperReduction.H.

◆ renormalizedBasisMatrix

template<typename... SnapshotsLists>

Eigen::MatrixXd HyperReduction< SnapshotsLists >::renormalizedBasisMatrix

Renormalized basis of HR.

Definition at line 172 of file hyperReduction.H.

◆ snapshotsListTuple

template<typename... SnapshotsLists>

SnapshotsListTuple HyperReduction< SnapshotsLists >::snapshotsListTuple

The snapshots matrix containing the nonlinear function or operator.

Definition at line 132 of file hyperReduction.H.

◆ submesh

template<typename... SnapshotsLists>

autoPtr<fvMeshSubset> HyperReduction< SnapshotsLists >::submesh

Submesh of the HyperReduction method.

Definition at line 199 of file hyperReduction.H.

◆ submesh2nodes

template<typename... SnapshotsLists>

Eigen::SparseMatrix<double> HyperReduction< SnapshotsLists >::submesh2nodes

Definition at line 190 of file hyperReduction.H.

◆ submesh2nodesMask

template<typename... SnapshotsLists>

Eigen::VectorXi HyperReduction< SnapshotsLists >::submesh2nodesMask

Definition at line 193 of file hyperReduction.H.

◆ submesh_field

template<typename... SnapshotsLists>

autoPtr<volVectorField> HyperReduction< SnapshotsLists >::submesh_field

Submeshes.

Definition at line 202 of file hyperReduction.H.

◆ sumFieldsDim

template<typename... SnapshotsLists>

unsigned int HyperReduction< SnapshotsLists >::sumFieldsDim

Definition at line 59 of file hyperReduction.H.

◆ totalNodePoints

template<typename... SnapshotsLists>

autoPtr<IOList<labelList > > HyperReduction< SnapshotsLists >::totalNodePoints

List of label lists of the nodes and corresponding surrounding nodes.

Definition at line 150 of file hyperReduction.H.

◆ uniqueNodePoints

template<typename... SnapshotsLists>

autoPtr<IOList<label > > HyperReduction< SnapshotsLists >::uniqueNodePoints

List of the unique indices of the nodes that define the submesh.

Definition at line 153 of file hyperReduction.H.

◆ vectorial_dim

template<typename... SnapshotsLists>

unsigned int HyperReduction< SnapshotsLists >::vectorial_dim

Definition at line 58 of file hyperReduction.H.

◆ wPU

template<typename... SnapshotsLists>

Eigen::MatrixXd HyperReduction< SnapshotsLists >::wPU

Definition at line 178 of file hyperReduction.H.

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

/github/workspace/src/ITHACA_HR/hyperReduction.H
/github/workspace/src/ITHACA_HR/hyperReduction.templates.H

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Detailed Description

Member Typedef Documentation

◆ FieldsTuple

◆ NthFieldListType

◆ NthFieldType

◆ SnapshotsListTuple

Constructor & Destructor Documentation

◆ HyperReduction() [1/2]

◆ HyperReduction() [2/2]

Member Function Documentation

◆ compute_vectorial_dim() [1/2]

◆ compute_vectorial_dim() [2/2]

◆ computeLS()

◆ createMasks()

◆ eigen2fields()

◆ evaluatePinv()

◆ evaluateWPU()

◆ generateSubmesh()

◆ get_field_dim()

◆ getModesSVD() [1/2]

◆ getModesSVD() [2/2]

◆ getSnapMatrix() [1/2]

◆ getSnapMatrix() [2/2]

◆ global2local()

◆ initReshapeMat()

◆ initSeeds()

◆ interpolateField()

◆ offlineECP() [1/2]

◆ offlineECP() [2/2]

◆ offlineGappyDEIM() [1/2]

◆ offlineGappyDEIM() [2/2]

◆ s_optimality()

◆ saveModes() [1/2]

◆ saveModes() [2/2]

◆ stackDimensions()

◆ stackNames()

◆ stackSnapshots()

◆ stackSnapshotsBoundary()

◆ sumDimensions()

◆ updateNodes()

Member Data Documentation

◆ basisMatrix

◆ eigenValueseig

◆ field2submesh

◆ fieldDims

◆ fieldNames

◆ folderMethod

◆ folderProblem

◆ initialSeeds

◆ localNodePoints

◆ MatrixOnline

◆ methodName

◆ n_boundary_cells

◆ n_boundary_cells_list

◆ n_boundary_patches

◆ n_cells

◆ n_cellsSubfields

◆ n_fields

◆ n_modes

◆ n_nodes

◆ n_snapshots

◆ nodePoints

◆ nodes

◆ normalizingWeights

◆ P

◆ para

◆ pinvPU

◆ problemName

◆ quadratureWeights

◆ renormalizedBasisMatrix

◆ snapshotsListTuple

◆ submesh

◆ submesh2nodes

◆ submesh2nodesMask

◆ submesh_field