Class where the tutorial number 20 is implemented. More...

Inheritance diagram for tutorialIPOD:

Public Member Functions
	tutorialIPOD (int argc, char *argv[])

void	offlineSolve (word folder="./ITHACAoutput/Offline/")
	It perform an offline Solve.

void	SetSource ()
	Define the source term function.

void	compute_nu ()
	Compute the diffusivity in each subdomain.

void	assemble_operator ()
	Construct the operator_list where each term of the affine decomposition is stored.

volScalarField	solveFull (double _mu)
	Performs a full order solution for a uniform value of mu.

Public Member Functions inherited from laplacianProblem
	laplacianProblem ()

	laplacianProblem (int argc, char *argv[])
	Construct with argc and argv.

	~laplacianProblem ()

void	truthSolve (List< scalar > mu_now, word folder="./ITHACAoutput/Offline/")
	Perform a truthsolve.

void	project (label Nmodes)
	Perform a projection onto the POD modes.

Public Member Functions inherited from reductionProblem
	reductionProblem ()
	Construct Null.

	~reductionProblem ()

void	setParameters ()
	Set Parameters Problems.

void	genRandPar ()
	Generate Random Numbers.

void	genRandPar (label tsize)
	Generate Random Numbers given the dimension of the training set.

void	genEquiPar ()
	Generate Equidistributed Numbers.

void	truthSolve ()
	Perform a TruthSolve.

void	assignBC (volVectorField &s, label BC_ind, Vector< double > &value)
	Assign Boundary Condition to a volVectorField.

void	assignBC (volScalarField &s, label BC_ind, double &value)
	Assign Boundary Condition to a volScalarField.

void	reconstructFromMatrix (PtrList< volVectorField > &rec_field2, PtrList< volVectorField > &modes, label Nmodes, Eigen::MatrixXd coeff_matrix)
	Exact reconstruction using a certain number of modes for vector list of fields and the projection coefficients (volVectorField)

void	reconstructFromMatrix (PtrList< volScalarField > &rec_field2, PtrList< volScalarField > &modes, label Nmodes, Eigen::MatrixXd coeff_matrix)
	Exact reconstruction using a certain number of modes for vector list of fields and the projection coefficients (volScalarField)

template<typename T , typename G >
void	assignIF (T &s, G &value)
	Assign internal field condition.

template<typename T >
void	computeLift (T &Lfield, T &liftfield, T &omfield)
	Homogenize the snapshot matrix, it works with PtrList of volVectorField and volScalarField.

template<typename T >
void	computeLiftT (T &Lfield, T &liftfield, T &omfield)
	Virtual function to compute the lifting function.

void	liftSolve ()
	Virtual function to compute the lifting function for scalar field.

void	liftSolveT ()

void	project ()
	General projection operation.

void	writeMu (List< scalar > mu_now)
	Write out a list of scalar corresponding to the parameters used in the truthSolve.

std::vector< SPLINTER::RBFSpline >	getCoeffManifoldRBF (PtrList< volVectorField > snapshots, PtrList< volVectorField > &modes, word rbfBasis="GAUSSIAN")
	Constructs the parameters-coefficients manifold for vector fields, based on RBF-spline model.

std::vector< SPLINTER::RBFSpline >	getCoeffManifoldRBF (PtrList< volScalarField > snapshots, PtrList< volScalarField > &modes, word rbfBasis="GAUSSIAN")
	Constructs the parameters-coefficients manifold for scalar fields, based on RBF-spline model.

std::vector< SPLINTER::BSpline >	getCoeffManifoldSPL (PtrList< volVectorField > snapshots, PtrList< volVectorField > &modes, label splDeg=3)
	Constructs the parameters-coefficients manifold for vector fields, based on the B-spline model.

std::vector< SPLINTER::BSpline >	getCoeffManifoldSPL (PtrList< volScalarField > snapshots, PtrList< volScalarField > &modes, label splDeg=3)
	Constructs the parameters-coefficients manifold for scalar fields, based on the B-spline model.

Public Attributes
volScalarField &	T
	[tutorialIPOD] Temperature field

volScalarField &	nu
	Diffusivity field.

volScalarField &	S
	Source term field.

Public Attributes inherited from laplacianProblem
PtrList< volScalarField >	Tfield
	List of snapshots for the solution.

PtrList< volScalarField >	Tonline
	List of snapshots for the solution.

volScalarModes	Tmodes
	List of POD modes.

PtrList< fvScalarMatrix >	operator_list
	List of operators.

List< scalar >	theta
	Theta (coefficients of the affine expansion)

PtrList< volScalarField >	nu_list
	Nu (diffusivity)

label	NTmodes
	Number of modes reduced problem.

List< Eigen::MatrixXd >	A_matrices
	A matrices.

Eigen::MatrixXd	source
	Source vector.

autoPtr< volScalarField >	_T
	Temperature field.

autoPtr< volScalarField >	_S
	Source Term.

autoPtr< volScalarField >	_nu
	Diffusivity.

autoPtr< fvMesh >	_mesh
	Mesh.

autoPtr< Time >	_runTime
	Time.

Public Attributes inherited from reductionProblem
label	Pnumber
	Number of parameters.

label	Tnumber
	Dimension of the training set (used only when gerating parameters without input)

Eigen::MatrixXd	mu
	Row matrix of parameters.

Eigen::MatrixXd	mu_range
	Range of the parameter spaces.

Eigen::MatrixXd	mu_samples
	Matrix of parameters to be used for PODI, where each row corresponds to a sample point. In this matrix the time dimension is regarded as a parameter for unsteady problems.

double	mu_cur
	Current value of the parameter.

bool	podex
	Boolean variable, it is 1 if the POD has already been computed, else 0.

bool	offline
	Boolean variable, it is 1 if the Offline phase has already been computed, else 0.

IOdictionary *	ITHACAdict
	dictionary to store input output infos

autoPtr< argList >	_args
	argList

ITHACAparallel *	paral
	parallel handling

label	folderN = 1
	Counter to save intermediate steps in the correct folder, for unsteady and some stationary cases.

label	counter = 1
	Counter used for the output of the full order solutions.

Eigen::MatrixXi	inletIndex
	Matrix that contains informations about the inlet boundaries.

Eigen::MatrixXi	inletPatch
	Matrix that contains informations about the inlet boundaries without specifing the direction Rows = Number of parametrized boundary conditions Cols = 1 Example: example.inletIndex.resize(2, 1); example.inletIndex(0, 0) = 0; example.inletIndex(1, 0) = 1; Means that there are two parametrized boundary conditions of which the first row is of patch 0 and the second row of patch 1.

Eigen::MatrixXi	inletIndexT