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

#include <UnsteadyNSTurbIntrusive.H>

Inheritance diagram for UnsteadyNSTurbIntrusive:

Public Member Functions
	UnsteadyNSTurbIntrusive ()
	Construct Null.

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

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

void	project (fileName folder, label nModes)
	The projection method for computing the reduced order matrices with the uniform approach.

void	projectPPE (fileName folder, label nUModes, label nPModes)
	The projection method for computing the reduced order matrices with the usage of Poisson equation for pressure.

Eigen::MatrixXd	btTurbulence (label nModes)
	bt added matrix for the turbulence treatement

Eigen::Tensor< double, 3 >	turbulenceTensor1 (label nModes)
	Method to compute one of the turbulence tensors.

Eigen::Tensor< double, 3 >	turbulenceTensor2 (label nModes)
	Method to compute one of the turbulence tensors.

Eigen::Tensor< double, 3 >	turbulencePPETensor1 (label nUModes, label nPModes)
	Method to compute one of the turbulence eddy viscosity tensors in the PPE approach.

Eigen::Tensor< double, 3 >	turbulencePPETensor2 (label nUModes, label nPModes)
	Method to compute one of the turbulence eddy viscosity tensors in the PPE approach.

Eigen::MatrixXd	diffusiveTerm (label nModes)
	Diffusive Term.

Eigen::Tensor< double, 3 >	convectiveTerm (label nModes)
	The method for computing the convective term tensor.

Eigen::MatrixXd	pressureGradientTerm (label nModes)
	The method for computing the pressure gradient term with number of modes of pressure being equal to the number of modes of velocity and with modes of pressure computed using the SVD of velocity snapshots.

Eigen::MatrixXd	pressureGradientTerm (label nUModes, label nPModes)
	The method for computing the pressure gradient term with number of modes of pressure NOT equal to the number of modes of velocity and with modes of pressure computed using the SVD of pressure snapshots.

Eigen::MatrixXd	laplacianPressure (label nPModes)
	Laplacian of pressure term (PPE approach)

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

Eigen::MatrixXd	pressureBC1 (label nUModes, label nPModes)
	Term N° 1 given by the additional boundary condition using a PPE approach.

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

Eigen::MatrixXd	pressureBC3 (label nUModes, label nPModes)
	Term N° 3 given by the additional boundary condition using a PPE approach.

Eigen::MatrixXd	pressureBC4 (label nUModes, label nPModes)
	Term N° 4 given by the additional boundary condition using a PPE approach.

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

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

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

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

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

Public Member Functions inherited from steadyNS
	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 Member Functions inherited from UnsteadyProblem
	UnsteadyProblem ()

void	setTimes (Time &timeObject)

bool	checkWrite (Time &timeObject)
	Function to check if the solution must be exported.

Public Attributes
PtrList< volScalarField >	nutFields
	List of snapshots for the solution for eddy viscosity.

volScalarModes	nutModes
	List of POD modes for eddy viscosity.

Eigen::MatrixXd	bMatrix
	Diffusive matrix.

Eigen::MatrixXd	kMatrix
	Pressure Gradient matrix.

Eigen::MatrixXd	btMatrix
	Turbulent viscosity matrix.

Eigen::Tensor< double, 3 >	convTensor
	Convective tensor.

Eigen::Tensor< double, 3 >	ct2Tensor
	Turbulent viscosity tensor.

Eigen::Tensor< double, 3 >	ct1Tensor
	Turbulent viscosity tensor.

Eigen::Tensor< double, 3 >	ct1PPETensor
	Turbulent viscosity tensor PPE approach.

Eigen::Tensor< double, 3 >	ct2PPETensor
	Turbulent viscosity tensor PPE approach.

Eigen::Tensor< double, 3 >	cTotalTensor
	Total Turbulent tensor.

Eigen::Tensor< double, 3 >	cTotalPPETensor
	Total Turbulent tensor PPE approach.

Eigen::MatrixXd	bTotalMatrix
	Total B Matrix.

label	nModesOnline
	Number of modes used in the online stage.

autoPtr< volScalarField >	_nut
	Eddy viscosity field.

Public Attributes inherited from unsteadyNS
autoPtr< pimpleControl >	_pimple
	pimpleControl

autoPtr< incompressible::turbulenceModel >	turbulence
	Turbulence model.

bool	adjustTimeStep
	adjustTimeStep

scalar	maxCo
	maxCourant

scalar	maxDeltaT
	maxDeltaT

label	counter2 = 1

word	method

word	timedepbcMethod
	Time-dependent Boundary Method.

Eigen::MatrixXd	timeBCoff

word	timeDerivativeSchemeOrder

Public Attributes inherited from steadyNS
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.

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

Public Attributes inherited from UnsteadyProblem
scalar	startTime
	Start Time (initial time to start storing the snapshots)

scalar	finalTime
	Final time (final time of the simulation and consequently of the acquisition of the snapshots)

scalar	timeStep
	Time step of the simulation.

scalar	writeEvery = timeStep
	Time step of the writing procedure.

scalar	nextWrite
	Auxiliary variable to store the next writing instant.

Detailed Description

Implementation of a parametrized full order unsteady 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 unsteady NS problem and the for the generation of the reduced matrices for subsequent online solve, this class is a son of the steadyNS class

Definition at line 67 of file UnsteadyNSTurbIntrusive.H.

Constructor & Destructor Documentation

◆ UnsteadyNSTurbIntrusive() [1/2]

UnsteadyNSTurbIntrusive::UnsteadyNSTurbIntrusive ( )

Construct Null.

Definition at line 39 of file UnsteadyNSTurbIntrusive.C.

◆ UnsteadyNSTurbIntrusive() [2/2]

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

Construct with argc and argv.

Definition at line 42 of file UnsteadyNSTurbIntrusive.C.

Member Function Documentation

◆ bcVelocityMat()

List< Eigen::MatrixXd > UnsteadyNSTurbIntrusive::bcVelocityMat ( label nModes )

Boundary integral modes on boundary used by the penaly method.

Parameters

[in] nModes The number of modes used in the online stage for the velocity field

Returns: A list of redueced order matrices for the penalty method which contain the boundary integral of the scalar products of the velocity modes.

Definition at line 1032 of file UnsteadyNSTurbIntrusive.C.

◆ bcVelocityVec()

List< Eigen::MatrixXd > UnsteadyNSTurbIntrusive::bcVelocityVec ( label nModes )

Boundary integral modes on boundary used by the penaly method.

Parameters

[in] nModes The number of modes used in the online stage for the velocity field

Returns: A list of redueced order vectors for the penalty method which contain the boundary integral of the velocity modes.

Definition at line 1006 of file UnsteadyNSTurbIntrusive.C.

◆ btTurbulence()

Eigen::MatrixXd UnsteadyNSTurbIntrusive::btTurbulence ( label nModes )

bt added matrix for the turbulence treatement

Parameters

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

Returns: bt matrix for turbulence treatment

Definition at line 247 of file UnsteadyNSTurbIntrusive.C.

◆ convectiveTerm()

Eigen::Tensor< double, 3 > UnsteadyNSTurbIntrusive::convectiveTerm ( label nModes )

The method for computing the convective term tensor.

Parameters

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

Returns: c Tensor for the treatement of the convective term

Definition at line 721 of file UnsteadyNSTurbIntrusive.C.

◆ diffusiveTerm()

Eigen::MatrixXd UnsteadyNSTurbIntrusive::diffusiveTerm ( label nModes )

Diffusive Term.

Parameters

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

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

Definition at line 696 of file UnsteadyNSTurbIntrusive.C.

◆ divMomentum()

Eigen::Tensor< double, 3 > UnsteadyNSTurbIntrusive::divMomentum	(	label	nUModes,
		label	nPModes )

Divergence of convective term (PPE approach)

Parameters

[in]	nUModes	The number of modes used in the online stage for the velocity and eddy viscosity fields
[in]	nPModes	The number of modes used in the online stage for the pressure field

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

Definition at line 823 of file UnsteadyNSTurbIntrusive.C.

◆ laplacianPressure()

Eigen::MatrixXd UnsteadyNSTurbIntrusive::laplacianPressure ( label nPModes )

Laplacian of pressure term (PPE approach)

Parameters

[in] nPModes The number of modes used in the online stage for the pressure field

Returns: A reduced matrix for the laplacian of pressure.

Definition at line 799 of file UnsteadyNSTurbIntrusive.C.

◆ pressureBC1()

Eigen::MatrixXd UnsteadyNSTurbIntrusive::pressureBC1	(	label	nUModes,
		label	nPModes )

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

Parameters

[in]	nUModes	The number of modes used in the online stage for the velocity and eddy viscosity fields
[in]	nPModes	The number of modes used in the online stage for the pressure field

Returns: A reduced matrix for the BC1 using a PPE approach.

Definition at line 856 of file UnsteadyNSTurbIntrusive.C.

◆ pressureBC2()

Eigen::Tensor< double, 3 > UnsteadyNSTurbIntrusive::pressureBC2	(	label	nUModes,
		label	nPModes )

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

Parameters

[in]	nUModes	The number of modes used in the online stage for the velocity and eddy viscosity fields
[in]	nPModes	The number of modes used in the online stage for the pressure field

Returns: A reduced tensor for the BC2 using a PPE approach.

Definition at line 891 of file UnsteadyNSTurbIntrusive.C.

◆ pressureBC3()

Eigen::MatrixXd UnsteadyNSTurbIntrusive::pressureBC3	(	label	nUModes,
		label	nPModes )

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

Parameters

[in]	nUModes	The number of modes used in the online stage for the velocity and eddy viscosity fields
[in]	nPModes	The number of modes used in the online stage for the pressure field

Returns: A reduced matrix for the BC3 using a PPE approach.

Definition at line 932 of file UnsteadyNSTurbIntrusive.C.

◆ pressureBC4()

Eigen::MatrixXd UnsteadyNSTurbIntrusive::pressureBC4	(	label	nUModes,
		label	nPModes )

Term N° 4 given by the additional boundary condition using a PPE approach.

Parameters

[in]	nUModes	The number of modes used in the online stage for the velocity and eddy viscosity fields
[in]	nPModes	The number of modes used in the online stage for the pressure field

Returns: A reduced matrix for the BC4 using a PPE approach.

Definition at line 969 of file UnsteadyNSTurbIntrusive.C.

◆ pressureGradientTerm() [1/2]

Eigen::MatrixXd UnsteadyNSTurbIntrusive::pressureGradientTerm ( label nModes )

The method for computing the pressure gradient term with number of modes of pressure being equal to the number of modes of velocity and with modes of pressure computed using the SVD of velocity snapshots.

Parameters

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

Returns: A reduced order matrix which is square and represents the pressure gradient term

Definition at line 750 of file UnsteadyNSTurbIntrusive.C.

◆ pressureGradientTerm() [2/2]

Eigen::MatrixXd UnsteadyNSTurbIntrusive::pressureGradientTerm	(	label	nUModes,
		label	nPModes )

The method for computing the pressure gradient term with number of modes of pressure NOT equal to the number of modes of velocity and with modes of pressure computed using the SVD of pressure snapshots.

Parameters

[in]	nUModes	The number of modes used in the online stage for the velocity and eddy viscosity fields
[in]	nPModes	The number of modes used in the online stage for the pressure field

Returns: A reduced order matrix which is not necessary square and represents the pressure gradient term

Definition at line 774 of file UnsteadyNSTurbIntrusive.C.

◆ project()

void UnsteadyNSTurbIntrusive::project	(	fileName	folder,
		label	nModes )

The projection method for computing the reduced order matrices with the uniform approach.

Parameters

[in]	folder	The folder used to save the reduced matrices.
[in]	nModes	The number of modes used in the online stage for all reduced variables

Definition at line 269 of file UnsteadyNSTurbIntrusive.C.

◆ projectPPE()

void UnsteadyNSTurbIntrusive::projectPPE	(	fileName	folder,
		label	nUModes,
		label	nPModes )

The projection method for computing the reduced order matrices with the usage of Poisson equation for pressure.

Parameters

[in]	folder	The folder used to save the reduced matrices.
[in]	nUModes	The number of modes used in the online stage for the velocity and eddy viscosity fields
[in]	nPModes	The number of modes used in the online stage for the pressure field

Definition at line 419 of file UnsteadyNSTurbIntrusive.C.

◆ truthSolve()

void UnsteadyNSTurbIntrusive::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 95 of file UnsteadyNSTurbIntrusive.C.

◆ turbulencePPETensor1()

Eigen::Tensor< double, 3 > UnsteadyNSTurbIntrusive::turbulencePPETensor1	(	label	nUModes,
		label	nPModes )

Method to compute one of the turbulence eddy viscosity tensors in the PPE approach.

Parameters

[in]	nUModes	The number of modes used in the online stage for the velocity and eddy viscosity fields
[in]	nPModes	The number of modes used in the online stage for the pressure field

Returns: ct1PPE tensor for the turbulence treatement in the PPE approach

Definition at line 1063 of file UnsteadyNSTurbIntrusive.C.

◆ turbulencePPETensor2()

Eigen::Tensor< double, 3 > UnsteadyNSTurbIntrusive::turbulencePPETensor2	(	label	nUModes,
		label	nPModes )

Method to compute one of the turbulence eddy viscosity tensors in the PPE approach.

Parameters

[in]	nUModes	The number of modes used in the online stage for the velocity and eddy viscosity fields
[in]	nPModes	The number of modes used in the online stage for the pressure field

Returns: ct2PPE tensor for the turbulence treatement in the PPE approach

Definition at line 1093 of file UnsteadyNSTurbIntrusive.C.

◆ turbulenceTensor1()

Eigen::Tensor< double, 3 > UnsteadyNSTurbIntrusive::turbulenceTensor1 ( label nModes )

Method to compute one of the turbulence tensors.

Parameters

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

Returns: ct1 tensor for the turbulence treatement

Definition at line 189 of file UnsteadyNSTurbIntrusive.C.

◆ turbulenceTensor2()

Eigen::Tensor< double, 3 > UnsteadyNSTurbIntrusive::turbulenceTensor2 ( label nModes )

Method to compute one of the turbulence tensors.

Parameters

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

Returns: ct2 tensor for the turbulence treatement

Definition at line 218 of file UnsteadyNSTurbIntrusive.C.

Member Data Documentation

◆ _nut

autoPtr<volScalarField> UnsteadyNSTurbIntrusive::_nut

Eddy viscosity field.

Definition at line 122 of file UnsteadyNSTurbIntrusive.H.

◆ bMatrix

Eigen::MatrixXd UnsteadyNSTurbIntrusive::bMatrix

Diffusive matrix.

Definition at line 86 of file UnsteadyNSTurbIntrusive.H.

◆ btMatrix

Eigen::MatrixXd UnsteadyNSTurbIntrusive::btMatrix

Turbulent viscosity matrix.

Definition at line 92 of file UnsteadyNSTurbIntrusive.H.

◆ bTotalMatrix

Eigen::MatrixXd UnsteadyNSTurbIntrusive::bTotalMatrix

Total B Matrix.

Definition at line 116 of file UnsteadyNSTurbIntrusive.H.

◆ convTensor

Eigen::Tensor<double, 3 > UnsteadyNSTurbIntrusive::convTensor

Convective tensor.

Definition at line 95 of file UnsteadyNSTurbIntrusive.H.

◆ ct1PPETensor

Eigen::Tensor<double, 3 > UnsteadyNSTurbIntrusive::ct1PPETensor

Turbulent viscosity tensor PPE approach.

Definition at line 104 of file UnsteadyNSTurbIntrusive.H.

◆ ct1Tensor

Eigen::Tensor<double, 3 > UnsteadyNSTurbIntrusive::ct1Tensor

Turbulent viscosity tensor.

Definition at line 101 of file UnsteadyNSTurbIntrusive.H.

◆ ct2PPETensor

Eigen::Tensor<double, 3 > UnsteadyNSTurbIntrusive::ct2PPETensor

Turbulent viscosity tensor PPE approach.

Definition at line 107 of file UnsteadyNSTurbIntrusive.H.

◆ ct2Tensor

Eigen::Tensor<double, 3 > UnsteadyNSTurbIntrusive::ct2Tensor

Turbulent viscosity tensor.

Definition at line 98 of file UnsteadyNSTurbIntrusive.H.

◆ cTotalPPETensor

Eigen::Tensor<double, 3 > UnsteadyNSTurbIntrusive::cTotalPPETensor

Total Turbulent tensor PPE approach.

Definition at line 113 of file UnsteadyNSTurbIntrusive.H.

◆ cTotalTensor

Eigen::Tensor<double, 3 > UnsteadyNSTurbIntrusive::cTotalTensor

Total Turbulent tensor.

Definition at line 110 of file UnsteadyNSTurbIntrusive.H.

◆ kMatrix

Eigen::MatrixXd UnsteadyNSTurbIntrusive::kMatrix

Pressure Gradient matrix.

Definition at line 89 of file UnsteadyNSTurbIntrusive.H.

◆ nModesOnline

label UnsteadyNSTurbIntrusive::nModesOnline

Number of modes used in the online stage.

Definition at line 119 of file UnsteadyNSTurbIntrusive.H.

◆ nutFields

PtrList<volScalarField> UnsteadyNSTurbIntrusive::nutFields

List of snapshots for the solution for eddy viscosity.

Definition at line 80 of file UnsteadyNSTurbIntrusive.H.

◆ nutModes

volScalarModes UnsteadyNSTurbIntrusive::nutModes

List of POD modes for eddy viscosity.

Definition at line 83 of file UnsteadyNSTurbIntrusive.H.

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

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

Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ UnsteadyNSTurbIntrusive() [1/2]

◆ UnsteadyNSTurbIntrusive() [2/2]

Member Function Documentation

◆ bcVelocityMat()

◆ bcVelocityVec()

◆ btTurbulence()

◆ convectiveTerm()

◆ diffusiveTerm()

◆ divMomentum()

◆ laplacianPressure()

◆ pressureBC1()

◆ pressureBC2()

◆ pressureBC3()

◆ pressureBC4()

◆ pressureGradientTerm() [1/2]

◆ pressureGradientTerm() [2/2]

◆ project()

◆ projectPPE()

◆ truthSolve()

◆ turbulencePPETensor1()

◆ turbulencePPETensor2()

◆ turbulenceTensor1()

◆ turbulenceTensor2()

Member Data Documentation

◆ _nut

◆ bMatrix

◆ btMatrix

◆ bTotalMatrix

◆ convTensor

◆ ct1PPETensor

◆ ct1Tensor

◆ ct2PPETensor

◆ ct2Tensor

◆ cTotalPPETensor

◆ cTotalTensor

◆ kMatrix

◆ nModesOnline

◆ nutFields

◆ nutModes