Class where it is implemented a reduced problem for the unsteady Navier-stokes problem. More...

#include <ReducedUnsteadyNS.H>

Inheritance diagram for reducedUnsteadyNS:

Public Member Functions
	reducedUnsteadyNS ()
	Construct Null.

	reducedUnsteadyNS (unsteadyNS &problem)
	Construct Null.

	~reducedUnsteadyNS ()

Eigen::MatrixXd	penalty_PPE (Eigen::MatrixXd &vel_now, Eigen::MatrixXd &tauIter, int startSnap=0)
	Method to determine the penalty factors iteratively.

Eigen::MatrixXd	penalty_sup (Eigen::MatrixXd &vel_now, Eigen::MatrixXd &tauIter, int startSnap=0)
	Method to determine the penalty factors iteratively.

void	solveOnline_PPE (Eigen::MatrixXd vel_now, int startSnap=0)
	Method to perform an online solve using a PPE stabilisation method.

void	solveOnline_sup (Eigen::MatrixXd vel_now, int startSnap=0)
	Method to perform an online solve using a supremizer stabilisation method.

void	reconstruct (bool exportFields=false, fileName folder="./online_rec")
	Method to reconstruct the solutions from an online solve with a supremizer stabilisation technique.

Eigen::MatrixXd	setOnlineVelocity (Eigen::MatrixXd vel)
	Sets the online velocity.

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

	reducedSteadyNS (steadyNS &problem)
	Construct Null.

	~reducedSteadyNS ()

void	solveOnline_PPE (Eigen::MatrixXd vel_now)
	Method to perform an online solve using a PPE stabilisation method.

void	solveOnline_sup (Eigen::MatrixXd vel_now)
	Method to perform an online solve using a supremizer stabilisation method.

void	reconstruct_PPE (fileName folder="./ITHACAoutput/online_rec", int printevery=1)
	Method to reconstruct a solution from an online solve with a PPE stabilisation technique.

void	reconstruct (bool exportFields=false, fileName folder="./ITHACAoutput/online_rec", int printevery=1)
	Method to reconstruct the solutions from an online solve.

void	reconstructLiftAndDrag (steadyNS &problem, fileName folder)
	Method to compute the reduced order forces.

double	inf_sup_constant ()
	Method to evaluate the online inf-sup constant.

Eigen::MatrixXd	setOnlineVelocity (Eigen::MatrixXd vel)
	Sets the online velocity.

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

virtual	~reducedProblem ()

	reducedProblem (reductionProblem &problem)
	Construct with reduced Problem.

virtual void	solveOnline ()
	Virtual Method to perform and online Solve.

Public Attributes
newton_unsteadyNS_sup	newton_object_sup
	Function object to call the non linear solver sup approach.

newton_unsteadyNS_PPE	newton_object_PPE
	Function object to call the non linear solver PPE approach.

scalar	time
	Scalar to store the current time.

double	dt
	Scalar to store the time increment.

scalar	finalTime
	Scalar to store the final time if the online simulation.

scalar	tstart
	Scalar to store the initial time if the online simulation.

double	storeEvery
	A variable for storing the reduced coefficients.

double	exportEvery
	A variable for exporting the fields.

bool	startFromZero = false
	A variable for starting solving the reduced system from zero or not.

int	timeStepPenalty = 1
	Number of timesteps calculated for the iterative penalty method.

Eigen::MatrixXd	tauIter
	Penalty Factor determined with iterative solver.

scalar	maxIterPenalty
	Maximum number of iterations to be done for the computation of the penalty factor.

scalar	tolerancePenalty
	Tolerance for the residual of the boundary values, there is the same tolerance for velocity and temperature.

unsteadyNS *	problem
	Pointer to the FOM problem.

Public Attributes inherited from reducedSteadyNS
ITHACAparameters *	para
	parameters to be read from the ITHACAdict file

Eigen::MatrixXd	vel_now
	Online inlet velocity vector.

Eigen::MatrixXd	fTau
	Reduced matrix for tangent forces.

Eigen::MatrixXd	fN
	Reduced matrix for normal forces.

Eigen::VectorXd	y_old
	Vector to store the previous solution during the Newton procedure.

Eigen::VectorXd	y
	Vector to store the solution during the Newton procedure.

scalar	nu
	Reduced viscosity in case of parametrized viscosity.

List< Eigen::MatrixXd >	online_solution
	List of Eigen matrices to store the online solution.

PtrList< volVectorField >	Umodes
	List of pointers to store the modes for velocity.

PtrList< volScalarField >	Pmodes
	List of pointers to store the modes for pressure.

PtrList< volVectorField >	Usnapshots
	List of pointers to store the snapshots for velocity.

PtrList< volScalarField >	Psnapshots
	List of pointers to store the snapshots for pressure.

PtrList< volScalarField >	PREC
	Reconstructed pressure field.

PtrList< volVectorField >	UREC
	Recontructed velocity field.

PtrList< volScalarField >	pRecFields
	Reconstructed pressure fields list.

PtrList< volVectorField >	uRecFields
	Recontructed velocity fields list.

newton_steadyNS	newton_object
	Newton object used to solve the non linear problem.

steadyNS *	problem
	Pointer to the FOM problem.

int	Nphi_u
	Number of velocity modes.

int	Nphi_p
	Number of pressure modes.

int	Nphi_sup
	Number of supremizer modes.

int	N_BC
	Number of parametrized boundary conditions.

int	count_online_solve = 1
	Counter to count the online solutions.

Eigen::MatrixXd	tauU
	Penalty Factor.

Public Attributes inherited from reducedProblem
scalar	nu
	Viscosity.

reductionProblem *	problem
	Pointer to FOAM problem.

Additional Inherited Members
Static Public Member Functions inherited from reducedProblem
static Eigen::MatrixXd	solveLinearSys (List< Eigen::MatrixXd > LinSys, Eigen::MatrixXd x, Eigen::VectorXd &residual, const Eigen::MatrixXd &bc=Eigen::MatrixXd::Zero(0, 0), const std::string solverType="fullPivLu")
	Linear system solver for the online problem.

static Eigen::MatrixXd	solveLinearSys (List< Eigen::MatrixXd > LinSys, Eigen::MatrixXd x, Eigen::VectorXd &residual, const std::string solverType)
	Linear system solver for the online problem.

Detailed Description

Class where it is implemented a reduced problem for the unsteady Navier-stokes problem.

In this class are implemented the methods to solve a reduced version of the stationary Navier-stokes equations. This class must be used together with the steadyNS class

Examples: 04unsteadyNS.C, and 17YJunction.C.

Definition at line 113 of file ReducedUnsteadyNS.H.

Constructor & Destructor Documentation

◆ reducedUnsteadyNS() [1/2]

reducedUnsteadyNS::reducedUnsteadyNS ( )

Construct Null.

Definition at line 41 of file ReducedUnsteadyNS.C.

◆ reducedUnsteadyNS() [2/2]

reducedUnsteadyNS::reducedUnsteadyNS ( unsteadyNS & problem )

explicit

Construct Null.

Parameters

problem a full order unsteadyNS problem

Definition at line 45 of file ReducedUnsteadyNS.C.

◆ ~reducedUnsteadyNS()

reducedUnsteadyNS::~reducedUnsteadyNS ( )

inline

Definition at line 127 of file ReducedUnsteadyNS.H.

Member Function Documentation

◆ penalty_PPE()

Eigen::MatrixXd reducedUnsteadyNS::penalty_PPE	(	Eigen::MatrixXd &	vel_now,
		Eigen::MatrixXd &	tauIter,
		int	startSnap = 0 )

Method to determine the penalty factors iteratively.

Parameters

[in]	vel_now	The vector of online velocity. It is defined in with an Eigen::MatrixXd and must have one col or as many cols as timesteps to be performed in case of time-dependent BCs and as many rows as the number of parametrized boundary conditions.
[in]	tauIter	The penalty factors determined one iteration step
[in]	startSnap	The first snapshot taken from the offline snapshots and used to get the reduced initial condition.

Definition at line 711 of file ReducedUnsteadyNS.C.

◆ penalty_sup()

Eigen::MatrixXd reducedUnsteadyNS::penalty_sup	(	Eigen::MatrixXd &	vel_now,
		Eigen::MatrixXd &	tauIter,
		int	startSnap = 0 )

Method to determine the penalty factors iteratively.

Parameters

[in]	vel_now	The vector of online velocity. It is defined in with an Eigen::MatrixXd and must have one col or as many cols as timesteps to be performed in case of time-dependent BCs and as many rows as the number of parametrized boundary conditions.
[in]	tauIter	The penalty factors determined one iteration step
[in]	startSnap	The first snapshot taken from the offline snapshots and used to get the reduced initial condition.

Definition at line 590 of file ReducedUnsteadyNS.C.

◆ reconstruct()

void reducedUnsteadyNS::reconstruct	(	bool	exportFields = false,
		fileName	folder = "./online_rec" )

Method to reconstruct the solutions from an online solve with a supremizer stabilisation technique.

stabilisation method

Parameters

[in]	exportFields	A boolean variable which determines whether to export fields or not
[in]	folder	The folder where to output the solutions in case on wants to

Definition at line 834 of file ReducedUnsteadyNS.C.

◆ setOnlineVelocity()

Eigen::MatrixXd reducedUnsteadyNS::setOnlineVelocity ( Eigen::MatrixXd vel )

Sets the online velocity.

Parameters

[in] vel The velocity

Returns: The rescaled velocity vector

Definition at line 884 of file ReducedUnsteadyNS.C.

◆ solveOnline_PPE()

void reducedUnsteadyNS::solveOnline_PPE	(	Eigen::MatrixXd	vel_now,
		int	startSnap = 0 )

Method to perform an online solve using a PPE stabilisation method.

Parameters

[in]	vel_now	The vector of online velocity. It is defined in with an Eigen::MatrixXd and must have one col and as many rows as the number of parametrized boundary conditions.
[in]	startSnap	The first snapshot taken from the offline snapshots and used to get the reduced initial condition.

Definition at line 431 of file ReducedUnsteadyNS.C.

◆ solveOnline_sup()

void reducedUnsteadyNS::solveOnline_sup	(	Eigen::MatrixXd	vel_now,
		int	startSnap = 0 )

Method to perform an online solve using a supremizer stabilisation method.

Parameters

[in]	vel_now	The vector of online velocity. It is defined in with an Eigen::MatrixXd and must have one col and as many rows as the number of parametrized boundary conditions.
[in]	startSnap	The first snapshot taken from the offline snapshots and used to get the reduced initial condition.

Definition at line 272 of file ReducedUnsteadyNS.C.

Member Data Documentation

◆ dt

double reducedUnsteadyNS::dt

Scalar to store the time increment.

Definition at line 139 of file ReducedUnsteadyNS.H.

◆ exportEvery

double reducedUnsteadyNS::exportEvery

A variable for exporting the fields.

Definition at line 151 of file ReducedUnsteadyNS.H.

◆ finalTime

scalar reducedUnsteadyNS::finalTime

Scalar to store the final time if the online simulation.

Definition at line 142 of file ReducedUnsteadyNS.H.

◆ maxIterPenalty

scalar reducedUnsteadyNS::maxIterPenalty

Maximum number of iterations to be done for the computation of the penalty factor.

Definition at line 163 of file ReducedUnsteadyNS.H.

◆ newton_object_PPE

newton_unsteadyNS_PPE reducedUnsteadyNS::newton_object_PPE

Function object to call the non linear solver PPE approach.

Definition at line 133 of file ReducedUnsteadyNS.H.

◆ newton_object_sup

newton_unsteadyNS_sup reducedUnsteadyNS::newton_object_sup

Function object to call the non linear solver sup approach.

Definition at line 130 of file ReducedUnsteadyNS.H.

◆ problem

unsteadyNS* reducedUnsteadyNS::problem

Pointer to the FOM problem.

Definition at line 169 of file ReducedUnsteadyNS.H.

◆ startFromZero

bool reducedUnsteadyNS::startFromZero = false

A variable for starting solving the reduced system from zero or not.

Definition at line 154 of file ReducedUnsteadyNS.H.

◆ storeEvery

double reducedUnsteadyNS::storeEvery

A variable for storing the reduced coefficients.

Definition at line 148 of file ReducedUnsteadyNS.H.

◆ tauIter

Eigen::MatrixXd reducedUnsteadyNS::tauIter

Penalty Factor determined with iterative solver.

Definition at line 160 of file ReducedUnsteadyNS.H.

◆ time

scalar reducedUnsteadyNS::time

Scalar to store the current time.

Definition at line 136 of file ReducedUnsteadyNS.H.

◆ timeStepPenalty

int reducedUnsteadyNS::timeStepPenalty = 1

Number of timesteps calculated for the iterative penalty method.

Definition at line 157 of file ReducedUnsteadyNS.H.

◆ tolerancePenalty

scalar reducedUnsteadyNS::tolerancePenalty

Tolerance for the residual of the boundary values, there is the same tolerance for velocity and temperature.

Definition at line 166 of file ReducedUnsteadyNS.H.

◆ tstart

scalar reducedUnsteadyNS::tstart

Scalar to store the initial time if the online simulation.

Definition at line 145 of file ReducedUnsteadyNS.H.

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

/github/workspace/src/ITHACA_ROMPROBLEMS/ReducedUnsteadyNS/ReducedUnsteadyNS.H
/github/workspace/src/ITHACA_ROMPROBLEMS/ReducedUnsteadyNS/ReducedUnsteadyNS.C

Public Member Functions

Public Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ reducedUnsteadyNS() [1/2]

◆ reducedUnsteadyNS() [2/2]

◆ ~reducedUnsteadyNS()

Member Function Documentation

◆ penalty_PPE()

◆ penalty_sup()

◆ reconstruct()

◆ setOnlineVelocity()

◆ solveOnline_PPE()

◆ solveOnline_sup()

Member Data Documentation

◆ dt

◆ exportEvery

◆ finalTime

◆ maxIterPenalty

◆ newton_object_PPE

◆ newton_object_sup

◆ problem

◆ startFromZero

◆ storeEvery

◆ tauIter

◆ time

◆ timeStepPenalty

◆ tolerancePenalty

◆ tstart