SecondOrderProblem this class solver second order problem, waves equation and linear viscoelastic problem. More...

#include <VenantKirchhoffViscoelasticSolver.hpp>

Collaboration diagram for VenantKirchhoffViscoelasticSolver< Mesh, SolverType >:

Protected Attributes
std::shared_ptr< data_type >	M_data
	data of problem More...

std::shared_ptr< FESpace< Mesh, MapEpetra > >	M_FESpace
	feSpace More...

std::unique_ptr< Displayer >	M_displayer
	displayer More...

Int	M_me
	current rank More...

bchandler_type	M_BCh
	boundary condition More...

std::shared_ptr< const MapEpetra >	M_localMap
	Epetra map need to define the VectorEpetra;. More...

matrix_ptrtype	M_matrMass
	Matrix mass. More...

matrix_ptrtype	M_matrLinearStiffness
	Matrix stiffness linear. More...

matrix_ptrtype	M_matrSystem
	Matrix System. More...

matrix_ptrtype	M_matrDamping
	Matrix Damping $\gamma A + \beta M$ . More...

vector_ptrtype	M_solution
	unknowns vector More...

vector_ptrtype	M_rhs
	right hand side More...

vector_ptrtype	M_rhsNoBC
	right hand side without boundary condition More...

std::shared_ptr< vector_type >	M_residual
	residual More...

source_type	M_source
	source term More...

std::shared_ptr< solver_type >	M_linearSolver
	data for solving tangent problem with aztec More...

bool	M_reusePrec
	true if reuse the preconditonar More...

UInt	M_maxIterForReuse
	max number of iteration before to update preconditonator More...

bool	M_resetPrec
	reset preconditionator More...

UInt	M_maxIterSolver
	maximum number of iteration for solver method More...

UInt	M_offset
	offset More...

Private Member Functions
void	applyBoundaryConditions (matrix_type &matrix, vector_type &rhs, bchandler_raw_type &BCh, UInt offset=0)
	apply boundary condition More...

Public Types
typedef Real(*	Function) (const Real &, const Real &, const Real &, const Real &, const ID &)

typedef std::function< Real(Real const &, Real const &, Real const &, Real const &, ID const &) >	source_type

typedef BCHandler	bchandler_raw_type

typedef std::shared_ptr< bchandler_raw_type >	bchandler_type

typedef SolverType	solver_type

typedef solver_type::matrix_type	matrix_type

typedef std::shared_ptr< matrix_type >	matrix_ptrtype

typedef solver_type::vector_type	vector_type

typedef std::shared_ptr< vector_type >	vector_ptrtype

typedef SolverType::prec_raw_type	prec_raw_type

typedef SolverType::prec_type	prec_type

typedef VenantKirchhoffViscoelasticData	data_type

Constructors & Destructor
	VenantKirchhoffViscoelasticSolver ()
	Constructor. More...

virtual	~VenantKirchhoffViscoelasticSolver ()
	virtual Destructor More...

Methods
void	setup (std::shared_ptr< data_type > data, const std::shared_ptr< FESpace< Mesh, MapEpetra > > &feSpace, std::shared_ptr< Epetra_Comm > &comm)
	class setup More...

void	setup (std::shared_ptr< data_type > data, const std::shared_ptr< FESpace< Mesh, MapEpetra > > &feSpace, bchandler_type &BCh, std::shared_ptr< Epetra_Comm > &comm)
	class setup More...

virtual void	setup (std::shared_ptr< data_type > data, const std::shared_ptr< FESpace< Mesh, MapEpetra > > &feSpace, std::shared_ptr< Epetra_Comm > &comm, const std::shared_ptr< const MapEpetra > &epetraMap, UInt offset=0)
	class setup More...

void	buildSystem (const Real &xi=1, const Real &alpha=0)
	buildSystem More...

void	buildSystem (matrix_ptrtype matrix, const Real &xi)
	buildSystem More...

void	buildDamping (matrix_ptrtype damping, const Real &alpha)
	build Damping matrix More...

void	updateSystem (const vector_type &rhs, const Real &xi=0, const Real &alpha=0)
	updateSystem with coefficients of time advance methods More...

void	computeStartValue (vector_type &solution, const bchandler_raw_type &bch, const vector_type &rhs)
	compute the start solution More...

void	iterate (bchandler_raw_type &bch)
	Solve the system. More...

void	updateSourceTerm (const vector_type &source)
	update source term More...

void	updateRHS (const vector_type &rhs)
	updateRHS More...

void	resetPrec ()
	reset the Prec More...

void	setSourceTerm (source_type const &source)
	Sets source term. More...

void	setDataFromGetPot (const GetPot &dataFile)
	Set parameters. More...

MapEpetra const &	map () const
	Return the map. More...

Displayer const &	displayer () const
	Return the map. More...

matrix_type const	matrMass () const
	Return the mass matrix. More...

matrix_ptrtype const	matrDamping () const
	Return the damping matrix. More...

matrix_ptrtype const	matrSystem () const
	Return the damping matrix. More...

matrix_ptrtype const	matrLinearStiff () const
	Return the Stiffness matrix. More...

FESpace< Mesh, MapEpetra > &	feSpace ()
	Return FESpace. More...

BCHandler const &	BChandler () const
	BCHandler getter and setter. More...

vector_ptrtype &	solution ()
	Return the solution. More...

vector_ptrtype &	residual ()
	Return residual. More...

vector_ptrtype &	rhsContributionSecondDerivativeithoutBC ()
	Return right hand side without boundary conditions. More...

std::shared_ptr< Epetra_Comm > const &	comm () const
	return the communicator More...

const UInt &	offset () const
	Return offset;. More...

const Real &	thickness () const
	thickness More...

const Real &	density () const
	density More...

const Real &	young () const
	young More...

const Real &	poisson () const
	poisson More...

Elementary matrices and vectors:
std::shared_ptr< MatrixElemental >	M_elmatK
	linear stiffness More...

std::shared_ptr< MatrixElemental >	M_elmatM
	mass More...

std::shared_ptr< MatrixElemental >	M_elmatC
	mass+ linear stiffness More...

std::shared_ptr< MatrixElemental >	M_elmatD
	damping More...

Detailed Description

template<typename Mesh, typename SolverType = LifeV::SolverAztecOO>
class LifeV::VenantKirchhoffViscoelasticSolver< Mesh, SolverType >

SecondOrderProblem this class solver second order problem, waves equation and linear viscoelastic problem.

This class solves the following waves equation:

$M \frac{d^2 u}{d t^2} + D(u,\frac{d u}{d t} ) \frac{d u}{d t} + A(u, \frac{d u}{dt}) = f$

where $M$ is mass matrix, $A$ stiffness matrix and $D$ is damping matrix given by $\beta M + \gamma A$ .

If $A$ and $D$ depend on $u$ and $dot{u}$ we linearize the problem using suitable extrapolations. we use the time advancing scheme defined in TimeAdvanceBase class for details see TimeAdvanceBase.pdf notes.

Definition at line 87 of file VenantKirchhoffViscoelasticSolver.hpp.

Member Typedef Documentation

◆ Function

typedef Real( * Function) (const Real &, const Real &, const Real &, const Real &, const ID &)

Definition at line 94 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ source_type

typedef std::function<Real ( Real const&, Real const&, Real const&, Real const&, ID const& ) > source_type

Definition at line 95 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ bchandler_raw_type

typedef BCHandler bchandler_raw_type

Definition at line 97 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ bchandler_type

typedef std::shared_ptr<bchandler_raw_type> bchandler_type

Definition at line 98 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ solver_type

typedef SolverType solver_type

Definition at line 100 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ matrix_type

typedef solver_type::matrix_type matrix_type

Definition at line 102 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ matrix_ptrtype

typedef std::shared_ptr<matrix_type> matrix_ptrtype

Definition at line 103 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ vector_type

typedef solver_type::vector_type vector_type

Definition at line 104 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ vector_ptrtype

typedef std::shared_ptr<vector_type> vector_ptrtype

Definition at line 105 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ prec_raw_type

typedef SolverType::prec_raw_type prec_raw_type

Definition at line 107 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ prec_type

typedef SolverType::prec_type prec_type

Definition at line 108 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ data_type

typedef VenantKirchhoffViscoelasticData data_type

Definition at line 110 of file VenantKirchhoffViscoelasticSolver.hpp.

Constructor & Destructor Documentation

◆ VenantKirchhoffViscoelasticSolver()

VenantKirchhoffViscoelasticSolver ( )

Constructor.

Empty Constructor.

Definition at line 536 of file VenantKirchhoffViscoelasticSolver.hpp.

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◆ ~VenantKirchhoffViscoelasticSolver()

virtual ~VenantKirchhoffViscoelasticSolver ( )

inlinevirtual

virtual Destructor

Definition at line 121 of file VenantKirchhoffViscoelasticSolver.hpp.

Member Function Documentation

◆ setup() [1/3]

void setup	(	std::shared_ptr< data_type >	data,
		const std::shared_ptr< FESpace< Mesh, MapEpetra > > &	feSpace,
		std::shared_ptr< Epetra_Comm > &	comm
	)

class setup

Parameters

data	file
feSpace	finite element space
comm	communicator

Definition at line 600 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ setup() [2/3]

void setup	(	std::shared_ptr< data_type >	data,
		const std::shared_ptr< FESpace< Mesh, MapEpetra > > &	feSpace,
		bchandler_type &	BCh,
		std::shared_ptr< Epetra_Comm > &	comm
	)

class setup

Parameters

data	file
feSpace	finite element space
BCh	boundary condition
comm	communicator

Definition at line 615 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ setup() [3/3]

void setup	(	std::shared_ptr< data_type >	data,
		const std::shared_ptr< FESpace< Mesh, MapEpetra > > &	feSpace,
		std::shared_ptr< Epetra_Comm > &	comm,
		const std::shared_ptr< const MapEpetra > &	epetraMap,
		UInt	offset = `0`
	)

virtual

class setup

Parameters

data	file
feSpace	finite element space
comm	communicator
epetraMap	epetra vector
offset

Definition at line 572 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ buildSystem() [1/2]

void buildSystem	(	const Real &	xi = `1`,
		const Real &	alpha = `0`
	)

buildSystem

Parameters

xi	is the coefficient of mass term defined as $\xi^0/dt^2$ ;
alpha	is the coefficient of damping term defined as $\alpha^0/dt$ ;

Note: by default is equal to 1 and is equal to 0;

Definition at line 637 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ buildSystem() [2/2]

void buildSystem	(	matrix_ptrtype	matrix,
		const Real &	xi
	)

buildSystem

Parameters

matrix	is the Mass Damping Stiffness
xi	is the coefficient of mass term defined as $\xi^0/dt^2$ ;

Definition at line 660 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ buildDamping()

void buildDamping	(	matrix_ptrtype	damping,
		const Real &	alpha
	)

build Damping matrix

building damping matrix defined as $\gamma A + \beta M$

Parameters

damping	matrix
alpha	is the coefficient of time advancing scheme defined as $\alpha^0/dt$ alpha can be 1 and we can introduce the time advancing coefficient in the updateSystem

Definition at line 729 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ updateSystem()

void updateSystem	(	const vector_type &	rhs,
		const Real &	xi = `0`,
		const Real &	alpha = `0`
	)

updateSystem with coefficients of time advance methods

Definition at line 773 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ computeStartValue()

void computeStartValue	(	vector_type &	solution,
		const bchandler_raw_type &	bch,
		const vector_type &	rhs
	)

compute the start solution

we consider the system $M w + D v + A u = f$ ; in general we knowns the $u^0$ , $v^0$ but not $w^0$ . This method computes $w^0$ starting by $F = f^0 - D v^0 -A u^0$ and boundary conditions associated to $w$ ;

Parameters

solution	is the vector where save the solution;
bch	the boundary condition respect to ;
rhs	is

Definition at line 812 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ iterate()

void iterate ( bchandler_raw_type & bch )

Solve the system.

solve the system

Parameters

bch	is boundary condition;

Definition at line 874 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ updateSourceTerm()

void updateSourceTerm ( const vector_type & source )

update source term

Parameters

source is the vector where we evaluate the source term;

Definition at line 835 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ updateRHS()

void updateRHS ( const vector_type & rhs )

inline

updateRHS

Parameters

rhs	is the right and side;

Definition at line 234 of file VenantKirchhoffViscoelasticSolver.hpp.

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◆ resetPrec()

void resetPrec ( )

inline

reset the Prec

Definition at line 249 of file VenantKirchhoffViscoelasticSolver.hpp.

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◆ setSourceTerm()

void setSourceTerm ( source_type const & source )

inline

Sets source term.

Parameters

source is function

Definition at line 263 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ setDataFromGetPot()

void setDataFromGetPot ( const GetPot & dataFile )

Set parameters.

Parameters

dataFile is the file contains the parameters of problem this method must be removed

Definition at line 628 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ map()

MapEpetra const& map ( ) const

inline

Return the map.

Returns: epetraMap

Definition at line 284 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ displayer()

Displayer const& displayer ( ) const

inline

Return the map.

Returns: displayer

Definition at line 293 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ matrMass()

matrix_type const matrMass ( ) const

inline

Return the mass matrix.

Returns: the mass matrix (it doesn't divided by $\xi/dt^2$ )

Definition at line 302 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ matrDamping()

matrix_ptrtype const matrDamping ( ) const

inline

Return the damping matrix.

Returns: the damping matrix (it doesn't divided by $\alpha/dt$ )

Definition at line 311 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ matrSystem()

matrix_ptrtype const matrSystem ( ) const

inline

Return the damping matrix.

Returns: the system matrix given by Stiffness + Damping $\alpha/dt$ + Mass $\xi/dt^2$

Definition at line 320 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ matrLinearStiff()

matrix_ptrtype const matrLinearStiff ( ) const

inline

Return the Stiffness matrix.

Returns: the stiffness matrix

Definition at line 329 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ feSpace()

FESpace<Mesh, MapEpetra>& feSpace ( )

inline

Return FESpace.

Definition at line 335 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ BChandler()

BCHandler const& BChandler ( ) const

inline

BCHandler getter and setter.

Returns: the boundary conditions

Definition at line 344 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ solution()

vector_ptrtype& solution ( )

inline

Return the solution.

Returns: the solution

Definition at line 353 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ residual()

vector_ptrtype& residual ( )

inline

Return residual.

Definition at line 362 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ rhsContributionSecondDerivativeithoutBC()

vector_ptrtype& rhsContributionSecondDerivativeithoutBC ( )

inline

Return right hand side without boundary conditions.

Definition at line 371 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ comm()

std::shared_ptr<Epetra_Comm> const& comm ( ) const

inline

return the communicator

Returns: the communicator

Definition at line 380 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ offset()

const UInt& offset ( ) const

inline

Return offset;.

Definition at line 389 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ thickness()

const Real& thickness ( ) const

inline

thickness

Returns: the thickness

Definition at line 398 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ density()

const Real& density ( ) const

inline

density

Returns: the density

Definition at line 406 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ young()

const Real& young ( ) const

inline

young

Returns: the young

Definition at line 415 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ poisson()

const Real& poisson ( ) const

inline

poisson

Returns: the poisson

Definition at line 423 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ applyBoundaryConditions()

void applyBoundaryConditions	(	matrix_type &	matrix,
		vector_type &	rhs,
		bchandler_raw_type &	BCh,
		UInt	offset = `0`
	)

private

apply boundary condition

Parameters

matrix	of system;
rhs	right hand side without boundaryCondition;
BCh	boundary condition;
offset

Definition at line 925 of file VenantKirchhoffViscoelasticSolver.hpp.

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Field Documentation

◆ M_data

std::shared_ptr<data_type> M_data

protected

data of problem

Definition at line 450 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_FESpace

std::shared_ptr<FESpace<Mesh, MapEpetra> > M_FESpace

protected

feSpace

Definition at line 453 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_displayer

std::unique_ptr<Displayer> M_displayer

protected

displayer

Definition at line 456 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_me

Int M_me

protected

current rank

Definition at line 459 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_BCh

bchandler_type M_BCh

protected

boundary condition

Definition at line 462 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_localMap

std::shared_ptr<const MapEpetra> M_localMap

protected

Epetra map need to define the VectorEpetra;.

Definition at line 465 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_matrMass

matrix_ptrtype M_matrMass

protected

Matrix mass.

Definition at line 468 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_matrLinearStiffness

matrix_ptrtype M_matrLinearStiffness

protected

Matrix stiffness linear.

Definition at line 471 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_matrSystem

matrix_ptrtype M_matrSystem

protected

Matrix System.

Definition at line 474 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_matrDamping

matrix_ptrtype M_matrDamping

protected

Matrix Damping $\gamma A + \beta M$ .

Definition at line 477 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_elmatK

std::shared_ptr<MatrixElemental> M_elmatK

protected

linear stiffness

Definition at line 482 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_elmatM

std::shared_ptr<MatrixElemental> M_elmatM

protected

mass

Definition at line 485 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_elmatC

std::shared_ptr<MatrixElemental> M_elmatC

protected

mass+ linear stiffness

Definition at line 487 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_elmatD

std::shared_ptr<MatrixElemental> M_elmatD

protected

damping

Definition at line 490 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_solution

vector_ptrtype M_solution

protected

unknowns vector

Definition at line 494 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_rhs

vector_ptrtype M_rhs

protected

right hand side

Definition at line 497 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_rhsNoBC

vector_ptrtype M_rhsNoBC

protected

right hand side without boundary condition

Definition at line 500 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_residual

std::shared_ptr<vector_type> M_residual

protected

residual

Definition at line 503 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_source

source_type M_source

protected

source term

Definition at line 506 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_linearSolver

std::shared_ptr<solver_type> M_linearSolver

protected

data for solving tangent problem with aztec

Definition at line 509 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_reusePrec

bool M_reusePrec

protected

true if reuse the preconditonar

Definition at line 512 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_maxIterForReuse

UInt M_maxIterForReuse

protected

max number of iteration before to update preconditonator

Definition at line 515 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_resetPrec

bool M_resetPrec

protected

reset preconditionator

Definition at line 518 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_maxIterSolver

UInt M_maxIterSolver

protected

maximum number of iteration for solver method

Definition at line 521 of file VenantKirchhoffViscoelasticSolver.hpp.

◆ M_offset

UInt M_offset

protected

offset

Definition at line 524 of file VenantKirchhoffViscoelasticSolver.hpp.

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

VenantKirchhoffViscoelasticSolver.hpp

Protected Attributes

Private Member Functions

Public Types

Constructors & Destructor

Methods

Elementary matrices and vectors:

Detailed Description

template<typename Mesh, typename SolverType = LifeV::SolverAztecOO> class LifeV::VenantKirchhoffViscoelasticSolver< Mesh, SolverType >

Member Typedef Documentation

◆ Function

◆ source_type

◆ bchandler_raw_type

◆ bchandler_type

◆ solver_type

◆ matrix_type

◆ matrix_ptrtype

◆ vector_type

◆ vector_ptrtype

◆ prec_raw_type

◆ prec_type

◆ data_type

Constructor & Destructor Documentation

◆ VenantKirchhoffViscoelasticSolver()

◆ ~VenantKirchhoffViscoelasticSolver()

Member Function Documentation

◆ setup() [1/3]

◆ setup() [2/3]

◆ setup() [3/3]

◆ buildSystem() [1/2]

◆ buildSystem() [2/2]

◆ buildDamping()

◆ updateSystem()

◆ computeStartValue()

◆ iterate()

◆ updateSourceTerm()

◆ updateRHS()

◆ resetPrec()

◆ setSourceTerm()

◆ setDataFromGetPot()

◆ map()

◆ displayer()

◆ matrMass()

◆ matrDamping()

◆ matrSystem()

◆ matrLinearStiff()

◆ feSpace()

◆ BChandler()

◆ solution()

◆ residual()

◆ rhsContributionSecondDerivativeithoutBC()

◆ comm()

◆ offset()

◆ thickness()

◆ density()

◆ young()

◆ poisson()

◆ applyBoundaryConditions()

Field Documentation

◆ M_data

◆ M_FESpace

◆ M_displayer

◆ M_me

◆ M_BCh

◆ M_localMap

◆ M_matrMass

◆ M_matrLinearStiffness

◆ M_matrSystem

◆ M_matrDamping

◆ M_elmatK

◆ M_elmatM

◆ M_elmatC

◆ M_elmatD

◆ M_solution

◆ M_rhs

◆ M_rhsNoBC

◆ M_residual

◆ M_source

◆ M_linearSolver

◆ M_reusePrec

◆ M_maxIterForReuse

template<typename Mesh, typename SolverType = LifeV::SolverAztecOO>
class LifeV::VenantKirchhoffViscoelasticSolver< Mesh, SolverType >