Implementation of a incremental POD algorithm according to Oxberry et al. More...

#include <incrementalPOD.H>

Inheritance diagram for incrementalPOD< Type, PatchField, GeoMesh >:

Public Member Functions
	incrementalPOD ()
	Constructors.

	incrementalPOD (GeometricField< Type, PatchField, GeoMesh > &snapshot, double _tol, word _PODnorm)
	Constructor with a first snapshot.

	~incrementalPOD ()
	Destructor.

void	initialize (GeometricField< Type, PatchField, GeoMesh > &snapshot)
	Initialize the incremental POD algorithm.

void	addSnapshot (GeometricField< Type, PatchField, GeoMesh > &snapshot)
	Add a snapshot to the POD space.

void	fillPtrList ()
	Fill the POD modes prtList from the Eigen matrix.

Eigen::VectorXd	project (GeometricField< Type, PatchField, GeoMesh > &inputField, label numberOfModes=0)
	Project a field into the reduced space.

GeometricField< Type, PatchField, GeoMesh >	reconstruct (GeometricField< Type, PatchField, GeoMesh > &inputField, Eigen::MatrixXd Coeff, word Name)
	Reconstruct a field from the reduced coefficients.

GeometricField< Type, PatchField, GeoMesh >	projectSnapshot (GeometricField< Type, PatchField, GeoMesh > &snapshot, label numberOfModes=0)
	Project a snapshot onto the POD space.

void	projectSnapshots (PtrList< GeometricField< Type, PatchField, GeoMesh > > snapshots, PtrList< GeometricField< Type, PatchField, GeoMesh > > &projSnapshots, label numberOfModes=0)
	Project a list of snapshots onto the reduced space.

void	writeModes ()
	Write to modes to file.

Public Member Functions inherited from Modes< Type, PatchField, GeoMesh >
List< Eigen::MatrixXd >	toEigen ()
	Method that convert a PtrList of modes into Eigen matrices filling the EigenModes object.

PtrList< GeometricField< Type, PatchField, GeoMesh > > &	toPtrList ()
	Function that returns the Modes object as a standard PtrList.

List< Eigen::MatrixXd >	project (fvMatrix< Type > &Af, label numberOfModes=0, word projType="G")
	A function that project an FvMatrix (OpenFoam linear System) on the modes.

Eigen::MatrixXd	project (GeometricField< Type, PatchField, GeoMesh > &field, label numberOfModes=0, word projType="G", fvMatrix< Type > *Af=NULL)
	A function that project a field on the modes.

Eigen::MatrixXd	project (PtrList< GeometricField< Type, PatchField, GeoMesh > > &fields, label numberOfModes=0, word projType="G", fvMatrix< Type > *Af=NULL)
	A function that project a list of fields on the modes.

GeometricField< Type, PatchField, GeoMesh >	projectSnapshot (GeometricField< Type, PatchField, GeoMesh > &field, label numberOfModes=0, word projType="G", fvMatrix< Type > *Af=NULL)
	A function that project and reconstruct a snapshot on the modes.

GeometricField< Type, PatchField, GeoMesh >	reconstruct (GeometricField< Type, PatchField, GeoMesh > &inputField, Eigen::MatrixXd Coeff, word Name)
	Function to reconstruct the solution starting from the coefficients, in this case the field is passed as input/output.

PtrList< GeometricField< Type, PatchField, GeoMesh > >	reconstruct (GeometricField< Type, PatchField, GeoMesh > &inputField, List< Eigen::MatrixXd > Coeff, word Name)
	Function to reconstruct a list of fields starting from a list of coefficients, in this case the list of fields is filled by reconstructing each field from a coefficients matrix inside the list passed.

void	projectSnapshots (PtrList< GeometricField< Type, PatchField, GeoMesh > > snapshots, PtrList< GeometricField< Type, PatchField, GeoMesh > > &projSnapshots, label numberOfModes=0, word innerProduct="L2")
	Function to project a list of fields into the modes manifold.

void	projectSnapshots (PtrList< GeometricField< Type, PatchField, GeoMesh > > snapshots, PtrList< GeometricField< Type, PatchField, GeoMesh > > &projSnapshots, word innerProduct="L2")
	Function to project a list of fields into the modes manifold by the use of all the modes.

void	projectSnapshots (PtrList< GeometricField< Type, PatchField, GeoMesh > > snapshots, PtrList< GeometricField< Type, PatchField, GeoMesh > > &projSnapshots, PtrList< volScalarField > Volumes, label numberOfModes=0, word innerProduct="L2")
	Function to project a list of fields into the modes manifold.

void	projectSnapshots (PtrList< GeometricField< Type, PatchField, GeoMesh > > snapshots, PtrList< GeometricField< Type, PatchField, GeoMesh > > &projSnapshots, PtrList< volScalarField > Volumes, word innerProduct)
	Function to project a list of fields into the modes manifold by the use of all the modes.

void	operator= (const PtrList< GeometricField< Type, PatchField, GeoMesh > > &modes)

Public Attributes
double	tolleranceSVD = 0
	Tollerance for the incremental SVD.

int	rank = 0
	Rank of the reduced space.

word	PODnorm
	POD norm used for projection. It can be L2 or Frobenius.

Eigen::VectorXd	massVector
	Vector of the cells volumes.

Eigen::VectorXd	singularValues
	Vector of the singular values.

word	outputFolder = "./ITHACAoutput/incrementalPOD/"
	Folder where the modes and singular values are saved.

Public Attributes inherited from Modes< Type, PatchField, GeoMesh >
List< Eigen::MatrixXd >	EigenModes
	List of Matrices that contains the internalField and the additional matrices for the boundary patches.

label	NBC
	Number of patches.

Detailed Description

template<class Type, template< class > class PatchField, class GeoMesh>
class incrementalPOD< Type, PatchField, GeoMesh >

Implementation of a incremental POD algorithm according to Oxberry et al.

"Limited-memory adaptive snapshot selection for proper orthogonal decomposition"

Examples: 20incrementalPOD.C.

Definition at line 65 of file incrementalPOD.H.

Constructor & Destructor Documentation

◆ incrementalPOD() [1/2]

template<class Type , template< class > class PatchField, class GeoMesh >

incrementalPOD< Type, PatchField, GeoMesh >::incrementalPOD ( )

inline

Constructors.

Construct Null

Definition at line 90 of file incrementalPOD.H.

◆ incrementalPOD() [2/2]

template<class Type , template< class > class PatchField, class GeoMesh >

incrementalPOD< Type, PatchField, GeoMesh >::incrementalPOD	(	GeometricField< Type, PatchField, GeoMesh > &	snapshot,
		double	_tol,
		word	_PODnorm )

Constructor with a first snapshot.

Parameters

[in]	snapshot	A first snapshot
[in]	_tol	Incremental SVD tollerance
[in]	_maxRank	i Maximum POD rank

Definition at line 38 of file incrementalPOD.C.

◆ ~incrementalPOD()

template<class Type , template< class > class PatchField, class GeoMesh >

incrementalPOD< Type, PatchField, GeoMesh >::~incrementalPOD ( )

inline

Destructor.

Definition at line 103 of file incrementalPOD.H.

Member Function Documentation

◆ addSnapshot()

template<class Type , template< class > class PatchField, class GeoMesh >

void incrementalPOD< Type, PatchField, GeoMesh >::addSnapshot ( GeometricField< Type, PatchField, GeoMesh > & snapshot )

Add a snapshot to the POD space.

Parameters

[in] snapshot Snapshot to add

Definition at line 96 of file incrementalPOD.C.

◆ fillPtrList()

template<class Type , template< class > class PatchField, class GeoMesh >

void incrementalPOD< Type, PatchField, GeoMesh >::fillPtrList ( )

Fill the POD modes prtList from the Eigen matrix.

Definition at line 209 of file incrementalPOD.C.

◆ initialize()

template<class Type , template< class > class PatchField, class GeoMesh >

void incrementalPOD< Type, PatchField, GeoMesh >::initialize ( GeometricField< Type, PatchField, GeoMesh > & snapshot )

Initialize the incremental POD algorithm.

Parameters

[in] snapshot A first snapshot

Definition at line 52 of file incrementalPOD.C.

◆ project()

template<class Type , template< class > class PatchField, class GeoMesh >

Eigen::VectorXd incrementalPOD< Type, PatchField, GeoMesh >::project	(	GeometricField< Type, PatchField, GeoMesh > &	inputField,
		label	numberOfModes = 0 )

Project a field into the reduced space.

Parameters

[in] inputField Field to project

Returns: The coefficient of the projected field into the reduced space

Definition at line 223 of file incrementalPOD.C.

◆ projectSnapshot()

template<class Type , template< class > class PatchField, class GeoMesh >

GeometricField< Type, PatchField, GeoMesh > incrementalPOD< Type, PatchField, GeoMesh >::projectSnapshot	(	GeometricField< Type, PatchField, GeoMesh > &	snapshot,
		label	numberOfModes = 0 )

Project a snapshot onto the POD space.

Parameters

[in]	snapshot	Snapshot to project
[in]	numberOfModes	Number of modes for projection (0 for all modes)

Returns: The projected snapshot

Definition at line 284 of file incrementalPOD.C.

◆ projectSnapshots()

template<class Type , template< class > class PatchField, class GeoMesh >

void incrementalPOD< Type, PatchField, GeoMesh >::projectSnapshots	(	PtrList< GeometricField< Type, PatchField, GeoMesh > >	snapshots,
		PtrList< GeometricField< Type, PatchField, GeoMesh > > &	projSnapshots,
		label	numberOfModes = 0 )

Project a list of snapshots onto the reduced space.

Parameters

[in]	snapshots	Snapshots to be projected
	[in/out]	projSnapshots Projected snapshots
[in]	numberOfModes	Number of modes for projection (0 for all modes)

Definition at line 328 of file incrementalPOD.C.

◆ reconstruct()

template<class Type , template< class > class PatchField, class GeoMesh >

GeometricField< Type, PatchField, GeoMesh > incrementalPOD< Type, PatchField, GeoMesh >::reconstruct	(	GeometricField< Type, PatchField, GeoMesh > &	inputField,
		Eigen::MatrixXd	Coeff,
		word	Name )

Reconstruct a field from the reduced coefficients.

Parameters

	[in/out]	inputField Reconstructed field
[in]	Coeff	Reduced coefficients
[in]	Name	Name of the reconstructed field

Returns: Reconstructed field

Definition at line 263 of file incrementalPOD.C.

◆ writeModes()

template<class Type , template< class > class PatchField, class GeoMesh >

void incrementalPOD< Type, PatchField, GeoMesh >::writeModes ( )

Write to modes to file.

Definition at line 382 of file incrementalPOD.C.

Member Data Documentation

◆ massVector

template<class Type , template< class > class PatchField, class GeoMesh >

Eigen::VectorXd incrementalPOD< Type, PatchField, GeoMesh >::massVector

Vector of the cells volumes.

Definition at line 79 of file incrementalPOD.H.

◆ outputFolder

template<class Type , template< class > class PatchField, class GeoMesh >

word incrementalPOD< Type, PatchField, GeoMesh >::outputFolder = "./ITHACAoutput/incrementalPOD/"

Folder where the modes and singular values are saved.

Definition at line 85 of file incrementalPOD.H.

◆ PODnorm

template<class Type , template< class > class PatchField, class GeoMesh >

word incrementalPOD< Type, PatchField, GeoMesh >::PODnorm

POD norm used for projection. It can be L2 or Frobenius.

Definition at line 76 of file incrementalPOD.H.

◆ rank

template<class Type , template< class > class PatchField, class GeoMesh >

int incrementalPOD< Type, PatchField, GeoMesh >::rank = 0

Rank of the reduced space.

Definition at line 73 of file incrementalPOD.H.

◆ singularValues

template<class Type , template< class > class PatchField, class GeoMesh >

Eigen::VectorXd incrementalPOD< Type, PatchField, GeoMesh >::singularValues

Vector of the singular values.

Definition at line 82 of file incrementalPOD.H.

◆ tolleranceSVD

template<class Type , template< class > class PatchField, class GeoMesh >

double incrementalPOD< Type, PatchField, GeoMesh >::tolleranceSVD = 0

Tollerance for the incremental SVD.

Definition at line 70 of file incrementalPOD.H.

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

/github/workspace/src/ITHACA_CORE/ITHACAPOD/incrementalPOD.H
/github/workspace/src/ITHACA_CORE/ITHACAPOD/incrementalPOD.C

Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ incrementalPOD() [1/2]

◆ incrementalPOD() [2/2]

◆ ~incrementalPOD()

Member Function Documentation

◆ addSnapshot()

◆ fillPtrList()

◆ initialize()

◆ project()

◆ projectSnapshot()

◆ projectSnapshots()

◆ reconstruct()

◆ writeModes()

Member Data Documentation

◆ massVector

◆ outputFolder

◆ PODnorm

◆ rank

◆ singularValues

◆ tolleranceSVD