Implementation of a parametrized full order steady NS problem and preparation of the the reduced matrices for the online solve. More...

#include <steadyNS.H>

Inheritance diagram for steadyNS:

Public Member Functions
	steadyNS ()
	Null constructor.

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

	~steadyNS ()

void	truthSolve (List< scalar > mu_now)
	Perform a truthsolve.

void	solvesupremizer (word type="snapshots")
	solve the supremizer either with the use of the pressure snaphots or the pressure modes

void	liftSolve ()
	Perform a lift solve.

void	projectPPE (fileName folder, label NUmodes, label NPmodes, label NSUPmodes=0)
	Project using the Poisson Equation for pressure.

void	projectSUP (fileName folder, label NUmodes, label NPmodes, label NSUPmodes)
	Project using a supremizer approach.

void	discretizeThenProject (fileName folder, label NUmodes, label NPmodes, label NSUPmodes=0)
	Project using the Discretize-then-project approach.

Eigen::MatrixXd	diffusive_term (label NUmodes, label NPmodes, label NSUPmodes)
	Diffusive Term.

Eigen::MatrixXd	diffusive_term_sym (label NUmodes, label NPmodes, label NSUPmodes)
	Symetric diffusive Term.

Eigen::MatrixXd	pressure_gradient_term (label NUmodes, label NPmodes, label NSUPmodes)
	Gradient of pressure.

List< Eigen::MatrixXd >	convective_term (label NUmodes, label NPmodes, label NSUPmodes)
	Convective Term.

Eigen::MatrixXd	mass_term (label NUmodes, label NPmodes, label NSUPmodes)
	Mass Term.

Eigen::MatrixXd	divergence_term (label NUmodes, label NPmodes, label NSUPmodes)
	Divergence Term (supremizer approach)

List< Eigen::MatrixXd >	div_momentum (label NUmodes, label NPmodes)
	Divergence of convective term (PPE approach)

Eigen::Tensor< double, 3 >	divMomentum (label NUmodes, label NPmodes)
	Divergence of convective term (PPE approach)

Eigen::MatrixXd	laplacian_pressure (label NPmodes)
	Laplacian of pressure term (PPE approach)

Eigen::MatrixXd	pressure_BC1 (label NPmodes, label NUmodes)
	Term N° 1 given by the additional boundary condition using a PPE approach.

List< Eigen::MatrixXd >	pressure_BC2 (label NPmodes, label NUmodes)
	Term N° 2 given by the additional boundary condition using a PPE approach.

Eigen::Tensor< double, 3 >	pressureBC2 (label NPmodes, label NUmodes)
	Term N° 2 given by the additional boundary condition using a PPE approach.

Eigen::MatrixXd	pressure_BC3 (label NPmodes, label NUmodes)
	Term N° 3 given by the additional boundary condition using a PPE approach.

Eigen::MatrixXd	pressure_BC4 (label NPmodes, label NUmodes)
	Term N° 4 given by the additional boundary condition using a PPE approach for time-dependent BCs.

List< Eigen::MatrixXd >	bcVelocityVec (label NUmodes, label NSUPmodes)
	Boundary integral modes on boundary used by the penaly method.

List< Eigen::MatrixXd >	bcVelocityMat (label NUmodes, label NSUPmodes)
	Boundary integral modes on boundary used by the penaly method.

Eigen::MatrixXd	diffusive_term_flux_method (label NUmodes, label NPmodes, label NSUPmodes)
	Diffusive Flux Method.

List< Eigen::MatrixXd >	boundary_vector_diffusion (label NUmodes, label NPmodes, label NSUPmodes)
	Boundary vector diffusion term.

List< Eigen::MatrixXd >	boundary_vector_convection (label NUmodes, label NPmodes, label NSUPmodes)
	Boundary vector convection term.

Eigen::Tensor< double, 3 >	convective_term_flux_tens (label NUmodes, label NPmodes, label NSUPmodes)
	Convective Term.

List< Eigen::MatrixXd >	pressure_gradient_term_linsys_div (label NPmodes)
	Laplacian of pressure Linear System - Divergence term.

List< Eigen::MatrixXd >	pressure_gradient_term_linsys_diff (label NPmodes)
	Laplacian of pressure Linear System - Diffusion term.

List< Eigen::MatrixXd >	pressure_gradient_term_linsys_conv (label NPmodes)
	Laplacian of pressure Linear System - Convection term.

Eigen::MatrixXd	diffusive_term_consistent (label NUmodes, label NPmodes, label NSUPmodes)
	Diffusion Term (consistent flux method)

List< Eigen::MatrixXd >	boundary_vector_diffusion_consistent (label NUmodes, label NSUPmodes)
	Boundary vector diffusion term (consistent flux method)

List< Eigen::MatrixXd >	boundary_vector_convection_consistent (label NUmodes, label NSUPmodes)
	Boundary vector convection term - Consistent Flux Method.

Eigen::MatrixXd	mass_matrix_newtime_consistent (label NUmodes, label NPmodes, label NSUPmodes)
	Mass Matrix new time step (consistent flux method)

Eigen::MatrixXd	mass_matrix_oldtime_consistent (label NUmodes, label NPmodes, label NSUPmodes)
	Mass Matrix old time step (consistent flux method)

Eigen::MatrixXd	pressure_gradient_term_consistent (label NUmodes, label NPmodes, label NSUPmodes)
	Pressure Gradient Term (consistent flux method)

Eigen::Tensor< double, 3 >	convective_term_consistent_tens (label NUmodes, label NPmodes, label NSUPmodes)
	Convective Term (consistent flux method)

void	change_viscosity (double mu)
	Function to change the viscosity.

void	forcesMatrices (label NUmodes, label NPmodes, label NSUPmodes)
	Compute lift and drag matrices.

void	forcesMatrices (label nModes)
	Compute lift and drag matrices offline matrices for the case of same number of velocity and pressure modes.

void	reconstructLiftAndDrag (const Eigen::MatrixXd &velCoeffs, const Eigen::MatrixXd &pressureCoeffs, fileName folder)
	Method to reconstruct the forces using velocity and pressure coefficients.

Eigen::Tensor< double, 3 >	convective_term_tens (label NUmodes, label NPmodes, label NSUPmodes)
	Export convective term as a tensor.

void	restart ()
	set U and P back to the values into the 0 folder

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
ITHACAparameters *	para

PtrList< volScalarField >	Pfield
	List of pointers used to form the pressure snapshots matrix.

PtrList< volVectorField >	Ufield
	List of pointers used to form the velocity snapshots matrix.

PtrList< volVectorField >	supfield
	List of pointers used to form the supremizer snapshots matrix.

PtrList< surfaceScalarField >	Phifield
	List of pointers used to form the flux snapshots matrix.

volScalarModes	Pmodes
	List of pointers used to form the pressure modes.

volVectorModes	Umodes
	List of pointers used to form the velocity modes.

volVectorModes	supmodes
	List of pointers used to form the supremizer modes.

surfaceScalarModes	Phimodes
	List of pointers used to form the flux modes.

PtrList< volVectorField >	liftfield
	List of pointers used to form the list of lifting functions.

PtrList< volVectorField >	Uomfield
	List of pointers used to form the homogeneous velocity snapshots.

volVectorModes	L_U_SUPmodes
	List of pointers containing the total number of lift, supremizer and velocity modes.

surfaceScalarModes	L_PHImodes
	List of pointers containing the total number of flux modes.

scalar	tolerance
	Tolerance for the residual of the stationary problems, there is the same tolerance for velocity and pressure.

scalar	maxIter
	Number of maximum iterations to be done for the computation of the truth solution.

label	NUmodesOut
	Number of velocity modes to be calculated.

label	NPmodesOut
	Number of pressure modes to be calculated.

label	NSUPmodesOut
	Number of supremizer modes to be calculated.

label	NNutModesOut
	Number of nut modes to be calculated.

label	NUmodes
	Number of velocity modes used for the projection.

label	NPmodes
	Number of pressure modes used for the projection.

label	NSUPmodes
	Number of supremizer modes used for the projection.

label	NNutModes
	Number of nut modes used for the projection.

Eigen::MatrixXd	tauMatrix
	Viscous forces.

Eigen::MatrixXd	nMatrix
	Pressure forces.

List< Eigen::MatrixXd >	bcVelVec
	Boundary term for penalty method - vector.

List< Eigen::MatrixXd >	bcVelMat
	Boundary term for penalty method - matrix.

Eigen::MatrixXd	BP_matrix
	Diffusion term for flux method PPE.

List< Eigen::MatrixXd >	RD_matrix
	Boundary term for diffusion term.

List< Eigen::MatrixXd >	RC_matrix
	Boundary vector for convection term.

List< Eigen::MatrixXd >	SD_matrix
	Boundary term for diffusion term - Consistent Flux Method.

List< Eigen::MatrixXd >	SC_matrix
	Boundary term for convection term - Consistent Flux Method.

Eigen::Tensor< double, 3 >	Cf_tensor
	Convection term for flux method.

Eigen::Tensor< double, 3 >	Ci_tensor
	Convection term - Consistent Flux Method.

List< Eigen::MatrixXd >	LinSysDiv
	Projection Peqn onto Pressure modes - Divergence term.

List< Eigen::MatrixXd >	LinSysDiff
	Projection Peqn onto Pressure modes - Diffusion term.

List< Eigen::MatrixXd >	LinSysConv
	Projection Peqn onto Pressure modes - Convection term.

bool	supex
	Boolean variable to check the existence of the supremizer modes.

autoPtr< volScalarField >	_p
	Pressure field.

autoPtr< volVectorField >	_U
	Velocity field.

autoPtr< volScalarField >	_p0
	Initial Pressure field (for restart purposes)

autoPtr< volVectorField >	_U0
	Initial Velocity field (for restart purposes)

autoPtr< volVectorField >	Uinl
	Initial dummy field with all Dirichlet boundary conditions.

autoPtr< dimensionedScalar >	dt_dummy
	Dummy time step including unit.

autoPtr< dimensionedScalar >	nu_dummy
	Dummy viscocity including unit.

autoPtr< fvMesh >	_mesh
	Mesh.

autoPtr< simpleControl >	_simple
	simpleControl

autoPtr< fv::options >	_fvOptions
	fvOptions

autoPtr< Time >	_runTime
	Time.

autoPtr< surfaceScalarField >	_phi
	Flux.

autoPtr< surfaceScalarField >	_phi0
	Initial Flux (for restart purposes)

autoPtr< incompressible::turbulenceModel >	turbulence
	Turbulence model.

autoPtr< singlePhaseTransportModel >	_laminarTransport
	Laminar transport (used by turbulence model)

autoPtr< IOMRFZoneList >	_MRF
	MRF variable.

label	pRefCell
	Reference pressure cell.

scalar	pRefValue
	Reference pressure value.

scalar	cumulativeContErr = 0
	continuity error

word	bcMethod
	Boundary Method.

word	fluxMethod
	Flux Method.

Reduced Matrices
Eigen::MatrixXd	B_matrix
	Diffusion term.

Eigen::MatrixXd	M_matrix
	Mass Matrix.

Eigen::MatrixXd	K_matrix
	Gradient of pressure matrix.

List< Eigen::MatrixXd >	C_matrix
	Non linear term.

Eigen::Tensor< double, 3 >	C_tensor
	Diffusion term.

Eigen::MatrixXd	P_matrix
	Div of velocity.

Eigen::MatrixXd	D_matrix
	Laplacian term PPE.

List< Eigen::MatrixXd >	G_matrix
	Divergence of momentum PPE.

Eigen::Tensor< double, 3 >	gTensor
	Divergence of momentum PPE.

Eigen::MatrixXd	BC1_matrix
	PPE BC1.

List< Eigen::MatrixXd >	BC2_matrix
	PPE BC2.

Eigen::Tensor< double, 3 >	bc2Tensor
	PPE BC2.

Eigen::MatrixXd	BC3_matrix
	PPE BC3.

Eigen::MatrixXd	BC4_matrix
	PPE BC4.

Eigen::MatrixXd	W_matrix
	Mass Matrix New Time Step - Consistent Flux Method.

Eigen::MatrixXd	I_matrix
	Mass Matrix Old Time Step - Consistent Flux Method.

Eigen::MatrixXd	DF_matrix
	Diffusion Term - Consistent Flux Method.

Eigen::MatrixXd	KF_matrix
	Pressure Gradient Term - Consistent Flux Method.

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

Detailed Description

Implementation of a parametrized full order steady NS problem and preparation of the the reduced matrices for the online solve.

In this class are implemented the methods for the offline solve of a steady NS problem and the for the generation of the reduced matrices for subsequent online solve, this class is a son of the reduction problem class

Examples: 03steadyNS.C.

Definition at line 69 of file steadyNS.H.

Constructor & Destructor Documentation

◆ steadyNS() [1/2]

steadyNS::steadyNS ( )

Null constructor.

Examples: 03steadyNS.C.

Definition at line 40 of file steadyNS.C.

◆ steadyNS() [2/2]

steadyNS::steadyNS	(	int	argc,
		char *	argv[] )

Construct with argc and argv.

Definition at line 41 of file steadyNS.C.

◆ ~steadyNS()

steadyNS::~steadyNS ( )

inline

Definition at line 80 of file steadyNS.H.

Member Function Documentation

◆ bcVelocityMat()

List< Eigen::MatrixXd > steadyNS::bcVelocityMat	(	label	NUmodes,
		label	NSUPmodes )

Boundary integral modes on boundary used by the penaly method.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced third order tensor in List <Eigen::MatrixXd> format for the penalty method.

Definition at line 1455 of file steadyNS.C.

◆ bcVelocityVec()

List< Eigen::MatrixXd > steadyNS::bcVelocityVec	(	label	NUmodes,
		label	NSUPmodes )

Boundary integral modes on boundary used by the penaly method.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced third order tensor in List <Eigen::MatrixXd> format for the penalty method.

Definition at line 1418 of file steadyNS.C.

◆ boundary_vector_convection()

List< Eigen::MatrixXd > steadyNS::boundary_vector_convection	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Boundary vector convection term.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the boundary vector.

Definition at line 1576 of file steadyNS.C.

◆ boundary_vector_convection_consistent()

List< Eigen::MatrixXd > steadyNS::boundary_vector_convection_consistent	(	label	NUmodes,
		label	NSUPmodes )

Boundary vector convection term - Consistent Flux Method.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the boundary vector.

Definition at line 1956 of file steadyNS.C.

◆ boundary_vector_diffusion()

List< Eigen::MatrixXd > steadyNS::boundary_vector_diffusion	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Boundary vector diffusion term.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the boundary vector.

Definition at line 1530 of file steadyNS.C.

◆ boundary_vector_diffusion_consistent()

List< Eigen::MatrixXd > steadyNS::boundary_vector_diffusion_consistent	(	label	NUmodes,
		label	NSUPmodes )

Boundary vector diffusion term (consistent flux method)

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the boundary vector.

Definition at line 1917 of file steadyNS.C.

◆ change_viscosity()

void steadyNS::change_viscosity ( double mu )

Function to change the viscosity.

Parameters

[in] mu viscosity (scalar)

Examples: 03steadyNS.C, and 04unsteadyNS.C.

Definition at line 2014 of file steadyNS.C.

◆ convective_term()

List< Eigen::MatrixXd > steadyNS::convective_term	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Convective Term.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced third order tensor in List <Eigen::MatrixXd> format for the convective term.

Definition at line 955 of file steadyNS.C.

◆ convective_term_consistent_tens()

Eigen::Tensor< double, 3 > steadyNS::convective_term_consistent_tens	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Convective Term (consistent flux method)

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced third order tensor in List <Eigen::MatrixXd> format for the convective term.

Definition at line 1878 of file steadyNS.C.

◆ convective_term_flux_tens()

Eigen::Tensor< double, 3 > steadyNS::convective_term_flux_tens	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Convective Term.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced third order tensor in List <Eigen::MatrixXd> format for the convective term.

Definition at line 1622 of file steadyNS.C.

◆ convective_term_tens()

Eigen::Tensor< double, 3 > steadyNS::convective_term_tens	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Export convective term as a tensor.

Parameters

[in]	NUmodes	The N of velocity modes
[in]	NPmodes	The N of pressure modes
[in]	NSUPmodes	The N of supremizer modes

Returns: tensor_C

Definition at line 995 of file steadyNS.C.

◆ diffusive_term()

Eigen::MatrixXd steadyNS::diffusive_term	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Diffusive Term.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the diffusion term.

Definition at line 861 of file steadyNS.C.

◆ diffusive_term_consistent()

Eigen::MatrixXd steadyNS::diffusive_term_consistent	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Diffusion Term (consistent flux method)

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the interpolation term.

Definition at line 1807 of file steadyNS.C.

◆ diffusive_term_flux_method()

Eigen::MatrixXd steadyNS::diffusive_term_flux_method	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Diffusive Flux Method.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the diffusion term.

Definition at line 1497 of file steadyNS.C.

◆ diffusive_term_sym()

Eigen::MatrixXd steadyNS::diffusive_term_sym	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Symetric diffusive Term.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the diffusion term.

Definition at line 892 of file steadyNS.C.

◆ discretizeThenProject()

void steadyNS::discretizeThenProject	(	fileName	folder,
		label	NUmodes,
		label	NPmodes,
		label	NSUPmodes = 0 )

Project using the Discretize-then-project approach.

Parameters

[in]	folder	The folder used to save the reduced matrices.
[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes, 0 by default and it must remain always zero.

Definition at line 687 of file steadyNS.C.

◆ div_momentum()

List< Eigen::MatrixXd > steadyNS::div_momentum	(	label	NUmodes,
		label	NPmodes )

Divergence of convective term (PPE approach)

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.

Returns: reduced third order tensor in List <Eigen::MatrixXd> format for the divergence of conv. term (used only with a PPE approach).

Definition at line 1106 of file steadyNS.C.

◆ divergence_term()

Eigen::MatrixXd steadyNS::divergence_term	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Divergence Term (supremizer approach)

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the divergence term.

Definition at line 1073 of file steadyNS.C.

◆ divMomentum()

Eigen::Tensor< double, 3 > steadyNS::divMomentum	(	label	NUmodes,
		label	NPmodes )

Divergence of convective term (PPE approach)

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.

Returns: reduced third order tensor for the conv. term which is used for the PPE approach

Definition at line 1147 of file steadyNS.C.

◆ forcesMatrices() [1/2]

void steadyNS::forcesMatrices ( label nModes )

Compute lift and drag matrices offline matrices for the case of same number of velocity and pressure modes.

Parameters

[in] nModes The number of modes used in the online stage for all reduced variables

Definition at line 2115 of file steadyNS.C.

◆ forcesMatrices() [2/2]

void steadyNS::forcesMatrices	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Compute lift and drag matrices.

Parameters

[in]	NUmodes	The N of velocity modes
[in]	NPmodes	The N of pressure modes
[in]	NSUPmodes	The N of supremizer modes

Definition at line 2027 of file steadyNS.C.

◆ laplacian_pressure()

Eigen::MatrixXd steadyNS::laplacian_pressure ( label NPmodes )

Laplacian of pressure term (PPE approach)

Parameters

[in] NPmodes The number of pressure modes.

Returns: reduced matrix in Eigen::MatrixXd format for the laplacian of pressure.

Definition at line 1183 of file steadyNS.C.

◆ liftSolve()

void steadyNS::liftSolve ( )

Perform a lift solve.

Examples: 17YJunction.C.

Definition at line 252 of file steadyNS.C.

◆ mass_matrix_newtime_consistent()

Eigen::MatrixXd steadyNS::mass_matrix_newtime_consistent	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Mass Matrix new time step (consistent flux method)

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the divergence term.

Definition at line 1990 of file steadyNS.C.

◆ mass_matrix_oldtime_consistent()

Eigen::MatrixXd steadyNS::mass_matrix_oldtime_consistent	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Mass Matrix old time step (consistent flux method)

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the divergence term.

Definition at line 1773 of file steadyNS.C.

◆ mass_term()

Eigen::MatrixXd steadyNS::mass_term	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Mass Term.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the mass matrix.

Definition at line 1041 of file steadyNS.C.

◆ pressure_BC1()

Eigen::MatrixXd steadyNS::pressure_BC1	(	label	NPmodes,
		label	NUmodes )

Term N° 1 given by the additional boundary condition using a PPE approach.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.

Returns: reduced matrix in Eigen::MatrixXd format for the BC1 using a PPE approach.

Definition at line 1212 of file steadyNS.C.

◆ pressure_BC2()

List< Eigen::MatrixXd > steadyNS::pressure_BC2	(	label	NPmodes,
		label	NUmodes )

Term N° 2 given by the additional boundary condition using a PPE approach.

Parameters

[in]	NPmodes	The number of pressure modes.
[in]	NUmodes	The number of velocity modes.

Returns: reduced matrix in Eigen::MatrixXd format for the BC2 using a PPE approach.

Definition at line 1251 of file steadyNS.C.

◆ pressure_BC3()

Eigen::MatrixXd steadyNS::pressure_BC3	(	label	NPmodes,
		label	NUmodes )

Term N° 3 given by the additional boundary condition using a PPE approach.

Parameters

[in]	NPmodes	The number of pressure modes.
[in]	NUmodes	The number of velocity modes.

Returns: reduced tensor in Eigen::MatrixXd format for the BC3 using a PPE approach.

Definition at line 1338 of file steadyNS.C.

◆ pressure_BC4()

Eigen::MatrixXd steadyNS::pressure_BC4	(	label	NPmodes,
		label	NUmodes )

Term N° 4 given by the additional boundary condition using a PPE approach for time-dependent BCs.

Parameters

[in]	NPmodes	The number of pressure modes.
[in]	NUmodes	The number of velocity modes.

Returns: reduced tensor in Eigen::MatrixXd format for the BC3 using a PPE approach.

Definition at line 1378 of file steadyNS.C.

◆ pressure_gradient_term()

Eigen::MatrixXd steadyNS::pressure_gradient_term	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Gradient of pressure.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the Gradient of pressure term.

Definition at line 923 of file steadyNS.C.

◆ pressure_gradient_term_consistent()

Eigen::MatrixXd steadyNS::pressure_gradient_term_consistent	(	label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Pressure Gradient Term (consistent flux method)

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the divergence term.

Definition at line 1844 of file steadyNS.C.

◆ pressure_gradient_term_linsys_conv()

List< Eigen::MatrixXd > steadyNS::pressure_gradient_term_linsys_conv ( label NPmodes )

Laplacian of pressure Linear System - Convection term.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the Laplacian of pressure Linear System.

Definition at line 1703 of file steadyNS.C.

◆ pressure_gradient_term_linsys_diff()

List< Eigen::MatrixXd > steadyNS::pressure_gradient_term_linsys_diff ( label NPmodes )

Laplacian of pressure Linear System - Diffusion term.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the Laplacian of pressure Linear System.

Definition at line 1738 of file steadyNS.C.

◆ pressure_gradient_term_linsys_div()

List< Eigen::MatrixXd > steadyNS::pressure_gradient_term_linsys_div ( label NPmodes )

Laplacian of pressure Linear System - Divergence term.

Parameters

[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Returns: reduced matrix in Eigen::MatrixXd format for the Laplacian of pressure Linear System.

Definition at line 1671 of file steadyNS.C.

◆ pressureBC2()

Eigen::Tensor< double, 3 > steadyNS::pressureBC2	(	label	NPmodes,
		label	NUmodes )

Term N° 2 given by the additional boundary condition using a PPE approach.

Parameters

[in]	NPmodes	The n pmodes
[in]	NUmodes	The n umodes

Returns: reduced tensor in Eigen::MatrixXd format for the BC2 using a PPE approach.

Definition at line 1293 of file steadyNS.C.

◆ projectPPE()

void steadyNS::projectPPE	(	fileName	folder,
		label	NUmodes,
		label	NPmodes,
		label	NSUPmodes = 0 )

Project using the Poisson Equation for pressure.

Parameters

[in]	folder	The folder used to save the reduced matrices.
[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes, 0 by default and it must remain always zero.

Definition at line 353 of file steadyNS.C.

◆ projectSUP()

void steadyNS::projectSUP	(	fileName	folder,
		label	NUmodes,
		label	NPmodes,
		label	NSUPmodes )

Project using a supremizer approach.

Parameters

[in]	folder	The folder used to save the reduced matrices.
[in]	NUmodes	The number of velocity modes.
[in]	NPmodes	The number of pressure modes.
[in]	NSUPmodes	The number of supremizer modes.

Examples: 03steadyNS.C.

Definition at line 543 of file steadyNS.C.

◆ reconstructLiftAndDrag()

void steadyNS::reconstructLiftAndDrag	(	const Eigen::MatrixXd &	velCoeffs,
		const Eigen::MatrixXd &	pressureCoeffs,
		fileName	folder )

Method to reconstruct the forces using velocity and pressure coefficients.

Parameters

[in]	velCoeffs	The velocity coefficients matrix
[in]	pressureCoeffs	The pressure coefficients matrix
[in]	folder	The folder where to output the forces matrices

Definition at line 2203 of file steadyNS.C.

◆ restart()

void steadyNS::restart ( )

set U and P back to the values into the 0 folder

Examples: 03steadyNS.C.

Definition at line 2253 of file steadyNS.C.

◆ solvesupremizer()

void steadyNS::solvesupremizer ( word type = "snapshots" )

solve the supremizer either with the use of the pressure snaphots or the pressure modes

Parameters

[in] type The type of the supremizer approach, either done on the pressure snapshots or on pressure modes.

Examples: 03steadyNS.C.

Definition at line 136 of file steadyNS.C.

◆ truthSolve()

void steadyNS::truthSolve ( List< scalar > mu_now )

Perform a truthsolve.

Parameters

[in] mu_now The actual value of the parameter for this truthSolve. Used only to construct mu_interp matrix which is written out in the Offline folder, also for par file in the Parameters folder.

Definition at line 96 of file steadyNS.C.

Member Data Documentation

◆ _fvOptions

autoPtr<fv::options> steadyNS::_fvOptions

fvOptions

Examples: 06POD_RBF.C.

Definition at line 287 of file steadyNS.H.

◆ _laminarTransport

autoPtr<singlePhaseTransportModel> steadyNS::_laminarTransport

Laminar transport (used by turbulence model)

Examples: 06POD_RBF.C.

Definition at line 302 of file steadyNS.H.

◆ _mesh

autoPtr<fvMesh> steadyNS::_mesh

mutable

Mesh.

Examples: 03steadyNS.C, 06POD_RBF.C, and 17YJunction.C.

Definition at line 281 of file steadyNS.H.

◆ _MRF

autoPtr<IOMRFZoneList> steadyNS::_MRF

MRF variable.

Examples: 06POD_RBF.C, and 17YJunction.C.

Definition at line 305 of file steadyNS.H.

◆ _p

autoPtr<volScalarField> steadyNS::_p

Pressure field.

Examples: 03steadyNS.C, 04unsteadyNS.C, 06POD_RBF.C, 10UnsteadyBBEnclosed.C, 11UnsteadyBBOpen.C, 17YJunction.C, and 19UnsteadyNSExplicit.C.

Definition at line 260 of file steadyNS.H.

◆ _p0

autoPtr<volScalarField> steadyNS::_p0

Initial Pressure field (for restart purposes)

Definition at line 266 of file steadyNS.H.

◆ _phi

autoPtr<surfaceScalarField> steadyNS::_phi

Flux.

Examples: 06POD_RBF.C, 11UnsteadyBBOpen.C, 17YJunction.C, and 19UnsteadyNSExplicit.C.

Definition at line 293 of file steadyNS.H.

◆ _phi0

autoPtr<surfaceScalarField> steadyNS::_phi0

Initial Flux (for restart purposes)

Definition at line 296 of file steadyNS.H.

◆ _runTime

autoPtr<Time> steadyNS::_runTime

Time.

Examples: 03steadyNS.C, 06POD_RBF.C, 10UnsteadyBBEnclosed.C, 11UnsteadyBBOpen.C, and 17YJunction.C.

Definition at line 290 of file steadyNS.H.

◆ _simple

autoPtr<simpleControl> steadyNS::_simple

simpleControl

Examples: 06POD_RBF.C.

Definition at line 284 of file steadyNS.H.

◆ _U

autoPtr<volVectorField> steadyNS::_U

Velocity field.

Examples: 03steadyNS.C, 04unsteadyNS.C, 06POD_RBF.C, 10UnsteadyBBEnclosed.C, 11UnsteadyBBOpen.C, 17YJunction.C, and 19UnsteadyNSExplicit.C.

Definition at line 263 of file steadyNS.H.

◆ _U0

autoPtr<volVectorField> steadyNS::_U0

Initial Velocity field (for restart purposes)

Definition at line 269 of file steadyNS.H.

◆ B_matrix

Eigen::MatrixXd steadyNS::B_matrix

Diffusion term.

Definition at line 157 of file steadyNS.H.

◆ BC1_matrix

Eigen::MatrixXd steadyNS::BC1_matrix

PPE BC1.

Definition at line 182 of file steadyNS.H.

◆ BC2_matrix

List<Eigen::MatrixXd> steadyNS::BC2_matrix

PPE BC2.

Definition at line 185 of file steadyNS.H.

◆ bc2Tensor

Eigen::Tensor<double, 3 > steadyNS::bc2Tensor

PPE BC2.

Definition at line 188 of file steadyNS.H.

◆ BC3_matrix

Eigen::MatrixXd steadyNS::BC3_matrix

PPE BC3.

Definition at line 191 of file steadyNS.H.

◆ BC4_matrix

Eigen::MatrixXd steadyNS::BC4_matrix

PPE BC4.

Definition at line 194 of file steadyNS.H.

◆ bcMethod

word steadyNS::bcMethod

Boundary Method.

Examples: 03steadyNS.C.

Definition at line 317 of file steadyNS.H.

◆ bcVelMat

List<Eigen::MatrixXd> steadyNS::bcVelMat

Boundary term for penalty method - matrix.

Definition at line 221 of file steadyNS.H.

◆ bcVelVec

List<Eigen::MatrixXd> steadyNS::bcVelVec

Boundary term for penalty method - vector.

Definition at line 218 of file steadyNS.H.

◆ BP_matrix

Eigen::MatrixXd steadyNS::BP_matrix

Diffusion term for flux method PPE.

Definition at line 224 of file steadyNS.H.

◆ C_matrix

List<Eigen::MatrixXd> steadyNS::C_matrix

Non linear term.

Definition at line 166 of file steadyNS.H.

◆ C_tensor

Eigen::Tensor<double, 3 > steadyNS::C_tensor

Diffusion term.

Definition at line 167 of file steadyNS.H.

◆ Cf_tensor

Eigen::Tensor<double, 3 > steadyNS::Cf_tensor

Convection term for flux method.

Definition at line 239 of file steadyNS.H.

◆ Ci_tensor

Eigen::Tensor<double, 3 > steadyNS::Ci_tensor

Convection term - Consistent Flux Method.

Definition at line 242 of file steadyNS.H.

◆ cumulativeContErr

scalar steadyNS::cumulativeContErr = 0

continuity error

Definition at line 314 of file steadyNS.H.

◆ D_matrix

Eigen::MatrixXd steadyNS::D_matrix

Laplacian term PPE.

Definition at line 173 of file steadyNS.H.

◆ DF_matrix

Eigen::MatrixXd steadyNS::DF_matrix

Diffusion Term - Consistent Flux Method.

Definition at line 203 of file steadyNS.H.

◆ dt_dummy

autoPtr<dimensionedScalar> steadyNS::dt_dummy

Dummy time step including unit.

Definition at line 275 of file steadyNS.H.

◆ fluxMethod

word steadyNS::fluxMethod

Flux Method.

Examples: 19UnsteadyNSExplicit.C.

Definition at line 320 of file steadyNS.H.

◆ G_matrix

List<Eigen::MatrixXd> steadyNS::G_matrix

Divergence of momentum PPE.

Definition at line 176 of file steadyNS.H.

◆ gTensor

Eigen::Tensor<double, 3 > steadyNS::gTensor

Divergence of momentum PPE.

Definition at line 179 of file steadyNS.H.

◆ I_matrix

Eigen::MatrixXd steadyNS::I_matrix

Mass Matrix Old Time Step - Consistent Flux Method.

Definition at line 200 of file steadyNS.H.

◆ K_matrix

Eigen::MatrixXd steadyNS::K_matrix

Gradient of pressure matrix.

Definition at line 163 of file steadyNS.H.

◆ KF_matrix

Eigen::MatrixXd steadyNS::KF_matrix

Pressure Gradient Term - Consistent Flux Method.

Definition at line 206 of file steadyNS.H.

◆ L_PHImodes

surfaceScalarModes steadyNS::L_PHImodes

List of pointers containing the total number of flux modes.

Definition at line 119 of file steadyNS.H.

◆ L_U_SUPmodes

volVectorModes steadyNS::L_U_SUPmodes

List of pointers containing the total number of lift, supremizer and velocity modes.

Definition at line 116 of file steadyNS.H.

◆ liftfield

PtrList<volVectorField> steadyNS::liftfield

List of pointers used to form the list of lifting functions.

Examples: 03steadyNS.C, and 17YJunction.C.

Definition at line 110 of file steadyNS.H.

◆ LinSysConv

List<Eigen::MatrixXd> steadyNS::LinSysConv

Projection Peqn onto Pressure modes - Convection term.

Definition at line 251 of file steadyNS.H.

◆ LinSysDiff

List<Eigen::MatrixXd> steadyNS::LinSysDiff

Projection Peqn onto Pressure modes - Diffusion term.

Definition at line 248 of file steadyNS.H.

◆ LinSysDiv

List<Eigen::MatrixXd> steadyNS::LinSysDiv

Projection Peqn onto Pressure modes - Divergence term.

Definition at line 245 of file steadyNS.H.

◆ M_matrix

Eigen::MatrixXd steadyNS::M_matrix

Mass Matrix.

Definition at line 160 of file steadyNS.H.

◆ maxIter

scalar steadyNS::maxIter

Number of maximum iterations to be done for the computation of the truth solution.

Definition at line 125 of file steadyNS.H.

◆ nMatrix

Eigen::MatrixXd steadyNS::nMatrix

Pressure forces.

Definition at line 215 of file steadyNS.H.

◆ NNutModes

label steadyNS::NNutModes

Number of nut modes used for the projection.

Definition at line 149 of file steadyNS.H.

◆ NNutModesOut

label steadyNS::NNutModesOut

Number of nut modes to be calculated.

Definition at line 137 of file steadyNS.H.

◆ NPmodes

label steadyNS::NPmodes

Number of pressure modes used for the projection.

Definition at line 143 of file steadyNS.H.

◆ NPmodesOut

label steadyNS::NPmodesOut

Number of pressure modes to be calculated.

Definition at line 131 of file steadyNS.H.

◆ NSUPmodes

label steadyNS::NSUPmodes

Number of supremizer modes used for the projection.

Definition at line 146 of file steadyNS.H.

◆ NSUPmodesOut

label steadyNS::NSUPmodesOut

Number of supremizer modes to be calculated.

Definition at line 134 of file steadyNS.H.

◆ nu_dummy

autoPtr<dimensionedScalar> steadyNS::nu_dummy

Dummy viscocity including unit.

Definition at line 278 of file steadyNS.H.

◆ NUmodes

label steadyNS::NUmodes

Number of velocity modes used for the projection.

Definition at line 140 of file steadyNS.H.

◆ NUmodesOut

label steadyNS::NUmodesOut

Number of velocity modes to be calculated.

Definition at line 128 of file steadyNS.H.

◆ P_matrix

Eigen::MatrixXd steadyNS::P_matrix

Div of velocity.

Definition at line 170 of file steadyNS.H.

◆ para

ITHACAparameters* steadyNS::para

Examples: 04unsteadyNS.C, 06POD_RBF.C, 10UnsteadyBBEnclosed.C, 11UnsteadyBBOpen.C, 17YJunction.C, and 19UnsteadyNSExplicit.C.

Definition at line 82 of file steadyNS.H.

◆ Pfield

PtrList<volScalarField> steadyNS::Pfield

List of pointers used to form the pressure snapshots matrix.

Examples: 03steadyNS.C, 04unsteadyNS.C, 06POD_RBF.C, 11UnsteadyBBOpen.C, 17YJunction.C, and 19UnsteadyNSExplicit.C.

Definition at line 86 of file steadyNS.H.

◆ Phifield

PtrList<surfaceScalarField> steadyNS::Phifield

List of pointers used to form the flux snapshots matrix.

Examples: 19UnsteadyNSExplicit.C.

Definition at line 95 of file steadyNS.H.

◆ Phimodes

surfaceScalarModes steadyNS::Phimodes

List of pointers used to form the flux modes.

Definition at line 107 of file steadyNS.H.

◆ Pmodes

volScalarModes steadyNS::Pmodes

List of pointers used to form the pressure modes.

Examples: 03steadyNS.C.

Definition at line 98 of file steadyNS.H.

◆ pRefCell

label steadyNS::pRefCell

Reference pressure cell.

Definition at line 308 of file steadyNS.H.

◆ pRefValue

scalar steadyNS::pRefValue

Reference pressure value.

Definition at line 311 of file steadyNS.H.

◆ RC_matrix

List<Eigen::MatrixXd> steadyNS::RC_matrix

Boundary vector for convection term.

Definition at line 230 of file steadyNS.H.

◆ RD_matrix

List<Eigen::MatrixXd> steadyNS::RD_matrix

Boundary term for diffusion term.

Definition at line 227 of file steadyNS.H.

◆ SC_matrix

List<Eigen::MatrixXd> steadyNS::SC_matrix

Boundary term for convection term - Consistent Flux Method.

Definition at line 236 of file steadyNS.H.

◆ SD_matrix

List<Eigen::MatrixXd> steadyNS::SD_matrix

Boundary term for diffusion term - Consistent Flux Method.

Definition at line 233 of file steadyNS.H.

◆ supex

bool steadyNS::supex

Boolean variable to check the existence of the supremizer modes.

Examples: 03steadyNS.C.

Definition at line 256 of file steadyNS.H.

◆ supfield

PtrList<volVectorField> steadyNS::supfield

List of pointers used to form the supremizer snapshots matrix.

Examples: 03steadyNS.C.

Definition at line 92 of file steadyNS.H.

◆ supmodes

volVectorModes steadyNS::supmodes

List of pointers used to form the supremizer modes.

Examples: 03steadyNS.C.

Definition at line 104 of file steadyNS.H.

◆ tauMatrix

Eigen::MatrixXd steadyNS::tauMatrix

Viscous forces.

Definition at line 212 of file steadyNS.H.

◆ tolerance

scalar steadyNS::tolerance

Tolerance for the residual of the stationary problems, there is the same tolerance for velocity and pressure.

Definition at line 122 of file steadyNS.H.

◆ turbulence

autoPtr<incompressible::turbulenceModel> steadyNS::turbulence

Turbulence model.

Examples: 06POD_RBF.C.

Definition at line 299 of file steadyNS.H.

◆ Ufield

PtrList<volVectorField> steadyNS::Ufield

List of pointers used to form the velocity snapshots matrix.

Examples: 03steadyNS.C, 04unsteadyNS.C, 06POD_RBF.C, 10UnsteadyBBEnclosed.C, 11UnsteadyBBOpen.C, 17YJunction.C, and 19UnsteadyNSExplicit.C.

Definition at line 89 of file steadyNS.H.

◆ Uinl

autoPtr<volVectorField> steadyNS::Uinl

Initial dummy field with all Dirichlet boundary conditions.

Examples: 03steadyNS.C, and 06POD_RBF.C.

Definition at line 272 of file steadyNS.H.

◆ Umodes

volVectorModes steadyNS::Umodes

List of pointers used to form the velocity modes.

Examples: 03steadyNS.C.

Definition at line 101 of file steadyNS.H.

◆ Uomfield

PtrList<volVectorField> steadyNS::Uomfield

List of pointers used to form the homogeneous velocity snapshots.

Examples: 03steadyNS.C.

Definition at line 113 of file steadyNS.H.

◆ W_matrix

Eigen::MatrixXd steadyNS::W_matrix

Mass Matrix New Time Step - Consistent Flux Method.

Definition at line 197 of file steadyNS.H.

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

/github/workspace/src/ITHACA_FOMPROBLEMS/steadyNS/steadyNS.H
/github/workspace/src/ITHACA_FOMPROBLEMS/steadyNS/steadyNS.C

Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ steadyNS() [1/2]

◆ steadyNS() [2/2]

◆ ~steadyNS()

Member Function Documentation

◆ bcVelocityMat()

◆ bcVelocityVec()

◆ boundary_vector_convection()

◆ boundary_vector_convection_consistent()

◆ boundary_vector_diffusion()

◆ boundary_vector_diffusion_consistent()

◆ change_viscosity()

◆ convective_term()

◆ convective_term_consistent_tens()

◆ convective_term_flux_tens()

◆ convective_term_tens()

◆ diffusive_term()

◆ diffusive_term_consistent()

◆ diffusive_term_flux_method()

◆ diffusive_term_sym()

◆ discretizeThenProject()

◆ div_momentum()

◆ divergence_term()

◆ divMomentum()

◆ forcesMatrices() [1/2]

◆ forcesMatrices() [2/2]

◆ laplacian_pressure()

◆ liftSolve()

◆ mass_matrix_newtime_consistent()

◆ mass_matrix_oldtime_consistent()

◆ mass_term()

◆ pressure_BC1()

◆ pressure_BC2()

◆ pressure_BC3()

◆ pressure_BC4()

◆ pressure_gradient_term()

◆ pressure_gradient_term_consistent()

◆ pressure_gradient_term_linsys_conv()

◆ pressure_gradient_term_linsys_diff()

◆ pressure_gradient_term_linsys_div()

◆ pressureBC2()

◆ projectPPE()

◆ projectSUP()

◆ reconstructLiftAndDrag()

◆ restart()

◆ solvesupremizer()

◆ truthSolve()

Member Data Documentation

◆ _fvOptions

◆ _laminarTransport

◆ _mesh

◆ _MRF

◆ _p

◆ _p0

◆ _phi

◆ _phi0

◆ _runTime

◆ _simple

◆ _U

◆ _U0

◆ B_matrix

◆ BC1_matrix

◆ BC2_matrix

◆ bc2Tensor

◆ BC3_matrix

◆ BC4_matrix

◆ bcMethod

◆ bcVelMat

◆ bcVelVec

◆ BP_matrix

◆ C_matrix

◆ C_tensor

◆ Cf_tensor

◆ Ci_tensor

◆ cumulativeContErr

◆ D_matrix

◆ DF_matrix