Finite volume model abstract base class. More...

Inheritance diagram for fvModel:

[legend]

Classes
class	iNew
	Return pointer to new fvModel object created. More...

Public Member Functions
	TypeName ("fvModel")
	Runtime type information. More...

	declareRunTimeSelectionTable (autoPtr, fvModel, dictionary,(const word &name, const word &modelType, const fvMesh &mesh, const dictionary &dict),(name, modelType, mesh, dict))

	fvModel (const word &name, const word &modelType, const fvMesh &mesh, const dictionary &dict)
	Construct from components. More...

autoPtr< fvModel >	clone () const
	Return clone. More...

virtual	~fvModel ()
	Destructor. More...

const word &	name () const
	Return const access to the source name. More...

const fvMesh &	mesh () const
	Return const access to the mesh database. More...

const dictionary &	coeffs () const
	Return dictionary. More...

virtual wordList	addSupFields () const
	Return the list of fields for which the fvModel adds source term. More...

virtual bool	addsSupToField (const word &fieldName) const
	Return true if the fvModel adds a source term to the given. More...

virtual scalar	maxDeltaT () const
	Return the maximum time-step for stable operation. More...

	FOR_ALL_FIELD_TYPES (DEFINE_FV_MODEL_ADD_SUP)
	Add a source term to an equation. More...

	FOR_ALL_FIELD_TYPES (DEFINE_FV_MODEL_ADD_RHO_SUP)
	Add a source term to a compressible equation. More...

	FOR_ALL_FIELD_TYPES (DEFINE_FV_MODEL_ADD_ALPHA_RHO_SUP)
	Add a source term to a phase equation. More...

template<class Type >
tmp< fvMatrix< Type > >	source (const VolField< Type > &field) const
	Return source for an equation. More...

template<class Type >
tmp< fvMatrix< Type > >	source (const VolField< Type > &field, const word &fieldName) const
	Return source for an equation with a specified name. More...

template<class Type >
tmp< fvMatrix< Type > >	source (const volScalarField &rho, const VolField< Type > &field) const
	Return source for a compressible equation. More...

template<class Type >
tmp< fvMatrix< Type > >	source (const volScalarField &rho, const VolField< Type > &field, const word &fieldName) const
	Return source for a compressible equation with a specified name. More...

template<class Type >
tmp< fvMatrix< Type > >	source (const volScalarField &alpha, const volScalarField &rho, const VolField< Type > &field) const
	Return source for a phase equation. More...

template<class Type >
tmp< fvMatrix< Type > >	source (const volScalarField &alpha, const volScalarField &rho, const VolField< Type > &field, const word &fieldName) const
	Return source for a phase equation with a specified name. More...

template<class Type >
tmp< fvMatrix< Type > >	source (const volScalarField &alpha, const geometricOneField &rho, const VolField< Type > &field) const
	Return source for a phase equation. More...

template<class Type >
tmp< fvMatrix< Type > >	source (const geometricOneField &alpha, const volScalarField &rho, const VolField< Type > &field) const
	Return source for a phase equation. More...

template<class Type >
tmp< fvMatrix< Type > >	source (const geometricOneField &alpha, const geometricOneField &rho, const VolField< Type > &field) const
	Return source for a phase equation. More...

template<class Type >
tmp< fvMatrix< Type > >	d2dt2 (const VolField< Type > &field) const
	Return source for an equation with a second time derivative. More...

template<class Type >
tmp< fvMatrix< Type > >	d2dt2 (const VolField< Type > &field, const word &fieldName) const
	Return source for an equation with a second time derivative. More...

virtual void	preUpdateMesh ()
	Prepare for mesh update. More...

virtual bool	movePoints ()=0
	Update for mesh motion. More...

virtual void	topoChange (const polyTopoChangeMap &)=0
	Update topology using the given map. More...

virtual void	mapMesh (const polyMeshMap &)=0
	Update from another mesh using the given map. More...

virtual void	distribute (const polyDistributionMap &)=0
	Redistribute or update using the given distribution map. More...

virtual void	correct ()
	Correct the fvModel. More...

virtual bool	read (const dictionary &dict)
	Read source dictionary. More...

template<class Type , class AlphaRhoFieldType , class ... AlphaRhoFieldTypes>
Foam::dimensionSet	sourceDims (const VolField< Type > &field, const dimensionSet &ds, const AlphaRhoFieldType &alphaRho, const AlphaRhoFieldTypes &... alphaRhos)

template<class Type >
Foam::dimensionSet	sourceDims (const VolField< Type > &field, const dimensionSet &ds)

template<class Type , class ... AlphaRhoFieldTypes>
Foam::tmp< Foam::fvMatrix< Type > >	source (const VolField< Type > &field, const word &fieldName, const dimensionSet &ds, const AlphaRhoFieldTypes &... alphaRhos) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	source (const VolField< Type > &field) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	source (const VolField< Type > &field, const word &fieldName) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	source (const volScalarField &rho, const VolField< Type > &field) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	source (const volScalarField &rho, const VolField< Type > &field, const word &fieldName) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	source (const volScalarField &alpha, const volScalarField &rho, const VolField< Type > &field) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	source (const volScalarField &alpha, const volScalarField &rho, const VolField< Type > &field, const word &fieldName) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	source (const geometricOneField &alpha, const geometricOneField &rho, const VolField< Type > &field) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	source (const volScalarField &alpha, const geometricOneField &rho, const VolField< Type > &field) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	source (const geometricOneField &alpha, const volScalarField &rho, const VolField< Type > &field) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	d2dt2 (const VolField< Type > &field) const

template<class Type >
Foam::tmp< Foam::fvMatrix< Type > >	d2dt2 (const VolField< Type > &field, const word &fieldName) const

Static Public Member Functions
template<class Type , class AlphaRhoFieldType , class ... AlphaRhoFieldTypes>
static dimensionSet	sourceDims (const VolField< Type > &field, const dimensionSet &ds, const AlphaRhoFieldType &alphaRho, const AlphaRhoFieldTypes &... alphaRhos)
	Return the dimensions of the matrix of a source term. More...

template<class Type >
static dimensionSet	sourceDims (const VolField< Type > &field, const dimensionSet &ds)
	Return the dimensions of the matrix of a source term (base. More...

static autoPtr< fvModel >	New (const word &name, const fvMesh &mesh, const dictionary &dict)
	Return a reference to the selected fvModel. More...

Protected Member Functions
template<class Type >
void	addSupType (fvMatrix< Type > &eqn, const word &fieldName) const
	Add a source term to an equation. More...

template<class Type >
void	addSupType (const volScalarField &rho, fvMatrix< Type > &eqn, const word &fieldName) const
	Add a source term to a compressible equation. More...

template<class Type >
void	addSupType (const volScalarField &alpha, const volScalarField &rho, fvMatrix< Type > &eqn, const word &fieldName) const
	Add a source term to a phase equation. More...

template<class Type , class ... AlphaRhoFieldTypes>
tmp< fvMatrix< Type > >	source (const VolField< Type > &field, const word &fieldName, const dimensionSet &ds, const AlphaRhoFieldTypes &... alphaRhos) const
	Return source for equation with specified name and dimensions. More...

Detailed Description

Finite volume model abstract base class.

Source files

Definition at line 58 of file fvModel.H.

Constructor & Destructor Documentation

◆ fvModel()

fvModel	(	const word &	name,
		const word &	modelType,
		const fvMesh &	mesh,
		const dictionary &	dict
	)

Construct from components.

Definition at line 72 of file fvModel.C.

References Foam::decrIndent(), Foam::endl(), Foam::incrIndent(), Foam::indent(), and Foam::Info.

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◆ ~fvModel()

~fvModel ( )

virtual

Destructor.

Definition at line 154 of file fvModel.C.

Member Function Documentation

◆ addSupType() [1/3]

void addSupType	(	fvMatrix< Type > &	eqn,
		const word &	fieldName
	)		const

protected

Add a source term to an equation.

Definition at line 41 of file fvModel.C.

◆ addSupType() [2/3]

void addSupType	(	const volScalarField &	rho,
		fvMatrix< Type > &	eqn,
		const word &	fieldName
	)		const

protected

Add a source term to a compressible equation.

Definition at line 50 of file fvModel.C.

◆ addSupType() [3/3]

void addSupType	(	const volScalarField &	alpha,
		const volScalarField &	rho,
		fvMatrix< Type > &	eqn,
		const word &	fieldName
	)		const

protected

Add a source term to a phase equation.

Definition at line 60 of file fvModel.C.

◆ source() [1/20]

tmp<fvMatrix<Type> > source	(	const VolField< Type > &	field,
		const word &	fieldName,
		const dimensionSet &	ds,
		const AlphaRhoFieldTypes &...	alphaRhos
	)		const

protected

Return source for equation with specified name and dimensions.

◆ TypeName()

TypeName ( "fvModel" )

Runtime type information.

◆ declareRunTimeSelectionTable()

declareRunTimeSelectionTable	(	autoPtr	,
		fvModel	,
		dictionary	,
		(const word &name, const word &modelType, const fvMesh &mesh, const dictionary &dict)	,
		(name, modelType, mesh, dict)
	)

◆ sourceDims() [1/4]

static dimensionSet sourceDims	(	const VolField< Type > &	field,
		const dimensionSet &	ds,
		const AlphaRhoFieldType &	alphaRho,
		const AlphaRhoFieldTypes &...	alphaRhos
	)

inlinestatic

Return the dimensions of the matrix of a source term.

Referenced by fvModels::source(), and fvModel::sourceDims().

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◆ sourceDims() [2/4]

static dimensionSet sourceDims	(	const VolField< Type > &	field,
		const dimensionSet &	ds
	)

inlinestatic

Return the dimensions of the matrix of a source term (base.

condition for the above)

◆ clone()

autoPtr<fvModel> clone ( ) const

inline

Return clone.

Definition at line 183 of file fvModel.H.

References NotImplemented.

◆ New()

Foam::autoPtr< Foam::fvModel > New	(	const word &	name,
		const fvMesh &	mesh,
		const dictionary &	dict
	)

static

Return a reference to the selected fvModel.

Definition at line 93 of file fvModel.C.

References dict, Foam::endl(), Foam::exit(), Foam::FatalError, FatalErrorInFunction, Foam::FatalIOError, FatalIOErrorInFunction, Foam::indent(), Foam::Info, Foam::libs, dictionary::lookup(), Foam::name(), Foam::nl, dlLibraryTable::open(), and string::remove().

Referenced by fvModels::fvModels(), and fvModel::iNew::operator()().

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◆ name()

const Foam::word & name ( ) const

inline

Return const access to the source name.

Definition at line 28 of file fvModelI.H.

Referenced by interRegionExplicitPorositySource::interRegionExplicitPorositySource(), fvModels::read(), and fvModels::source().

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◆ mesh()

const Foam::fvMesh & mesh ( ) const

inline

Return const access to the mesh database.

Definition at line 34 of file fvModelI.H.

Referenced by interfaceTurbulenceDamping::interfaceTurbulenceDamping(), interRegionExplicitPorositySource::interRegionExplicitPorositySource(), phaseTurbulenceStabilisation::phaseTurbulenceStabilisation(), VoFTurbulenceDamping::VoFTurbulenceDamping(), zeroDimensionalFixedPressureModel::zeroDimensionalFixedPressureModel(), and zeroDimensionalMassSourceBase::zeroDimensionalMassSourceBase().

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◆ coeffs()

const Foam::dictionary & coeffs ( ) const

inline

Return dictionary.

Definition at line 40 of file fvModelI.H.

Referenced by interRegionExplicitPorositySource::interRegionExplicitPorositySource(), and forcing::readCoeffs().

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◆ addSupFields()

Foam::wordList addSupFields ( ) const

virtual

Return the list of fields for which the fvModel adds source term.

to the transport equation

Reimplemented in waveForcing, verticalDamping, isotropicDamping, radiation, clouds, interRegionHeatTransfer, interRegionExplicitPorositySource, semiImplicitSource, codedFvModel, volumeFractionSource, solidificationMeltingSource, solidEquilibriumEnergySource, sixDoFAccelerationSource, rotorDiskSource, phaseLimitStabilisation, massSourceBase, heatTransfer, heatSource, explicitPorositySource, effectivenessHeatExchangerSource, buoyancyForce, buoyancyEnergy, actuationDiskSource, accelerationSource, phaseTurbulenceStabilisation, interfaceTurbulenceDamping, VoFFilmTransfer, filmVoFTransfer, filmCloudTransfer, VoFTurbulenceDamping, VoFCavitation, VoFTurbulenceDamping, VoFSolidificationMeltingSource, VoFClouds, and VoFCavitation.

Definition at line 160 of file fvModel.C.

References List< word >::null().

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◆ addsSupToField()

bool addsSupToField ( const word & fieldName ) const

virtual

Return true if the fvModel adds a source term to the given.

field's transport equation

Reimplemented in volumeFractionSource, massSourceBase, and zeroDimensionalFixedPressureModel.

Definition at line 166 of file fvModel.C.

References Foam::findIndex().

Referenced by fvModels::source().

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◆ maxDeltaT()

Foam::scalar maxDeltaT ( ) const

virtual

Return the maximum time-step for stable operation.

Definition at line 172 of file fvModel.C.

◆ FOR_ALL_FIELD_TYPES() [1/3]

FOR_ALL_FIELD_TYPES ( DEFINE_FV_MODEL_ADD_SUP )

Add a source term to an equation.

◆ FOR_ALL_FIELD_TYPES() [2/3]

FOR_ALL_FIELD_TYPES ( DEFINE_FV_MODEL_ADD_RHO_SUP )

Add a source term to a compressible equation.

◆ FOR_ALL_FIELD_TYPES() [3/3]

FOR_ALL_FIELD_TYPES ( DEFINE_FV_MODEL_ADD_ALPHA_RHO_SUP )

Add a source term to a phase equation.

◆ source() [2/20]

tmp<fvMatrix<Type> > source ( const VolField< Type > & field ) const

Return source for an equation.

◆ source() [3/20]

tmp<fvMatrix<Type> > source	(	const VolField< Type > &	field,
		const word &	fieldName
	)		const

Return source for an equation with a specified name.

◆ source() [4/20]

tmp<fvMatrix<Type> > source	(	const volScalarField &	rho,
		const VolField< Type > &	field
	)		const

Return source for a compressible equation.

◆ source() [5/20]

tmp<fvMatrix<Type> > source	(	const volScalarField &	rho,
		const VolField< Type > &	field,
		const word &	fieldName
	)		const

Return source for a compressible equation with a specified name.

◆ source() [6/20]

tmp<fvMatrix<Type> > source	(	const volScalarField &	alpha,
		const volScalarField &	rho,
		const VolField< Type > &	field
	)		const

Return source for a phase equation.

◆ source() [7/20]

tmp<fvMatrix<Type> > source	(	const volScalarField &	alpha,
		const volScalarField &	rho,
		const VolField< Type > &	field,
		const word &	fieldName
	)		const

Return source for a phase equation with a specified name.

◆ source() [8/20]

tmp<fvMatrix<Type> > source	(	const volScalarField &	alpha,
		const geometricOneField &	rho,
		const VolField< Type > &	field
	)		const

Return source for a phase equation.

◆ source() [9/20]

tmp<fvMatrix<Type> > source	(	const geometricOneField &	alpha,
		const volScalarField &	rho,
		const VolField< Type > &	field
	)		const

Return source for a phase equation.

◆ source() [10/20]

tmp<fvMatrix<Type> > source	(	const geometricOneField &	alpha,
		const geometricOneField &	rho,
		const VolField< Type > &	field
	)		const

Return source for a phase equation.

◆ d2dt2() [1/4]

tmp<fvMatrix<Type> > d2dt2 ( const VolField< Type > & field ) const

Return source for an equation with a second time derivative.

◆ d2dt2() [2/4]

tmp<fvMatrix<Type> > d2dt2	(	const VolField< Type > &	field,
		const word &	fieldName
	)		const

Return source for an equation with a second time derivative.

◆ preUpdateMesh()

void preUpdateMesh ( )

virtual

Prepare for mesh update.

Reimplemented in clouds, and VoFClouds.

Definition at line 195 of file fvModel.C.

◆ movePoints()

virtual bool movePoints ( )

pure virtual

◆ topoChange()

virtual void topoChange ( const polyTopoChangeMap & )

pure virtual

◆ mapMesh()

virtual void mapMesh ( const polyMeshMap & )

pure virtual

◆ distribute()

virtual void distribute ( const polyDistributionMap & )

pure virtual

◆ correct()

void correct ( )

virtual

Correct the fvModel.

e.g. solve equations, update model, for film, Lagrangian etc.

Reimplemented in waveForcing, clouds, interRegionHeatTransfer, zeroDimensionalMassSourceBase, heatTransfer, VoFFilmTransfer, filmVoFTransfer, filmCloudTransfer, VoFCavitation, VoFSolidificationMeltingSource, VoFClouds, and VoFCavitation.

Definition at line 199 of file fvModel.C.

◆ read()

bool read ( const dictionary & dict )

virtual

Read source dictionary.

Reimplemented in isotropicDamping, forcing, interRegionModel, interRegionHeatTransfer, interRegionExplicitPorositySource, semiImplicitSource, codedFvModel, zeroDimensionalMassSource, volumeFractionSource, solidificationMeltingSource, solidEquilibriumEnergySource, sixDoFAccelerationSource, rotorDiskSource, radialActuationDiskSource, phaseLimitStabilisation, massSource, massSourceBase, heatTransfer, heatSource, explicitPorositySource, effectivenessHeatExchangerSource, buoyancyForce, buoyancyEnergy, actuationDiskSource, accelerationSource, and VoFSolidificationMeltingSource.

Definition at line 187 of file fvModel.C.

References dict, and dictionary::optionalSubDict().

Referenced by fvModels::read(), VoFSolidificationMeltingSource::read(), accelerationSource::read(), actuationDiskSource::read(), buoyancyEnergy::read(), buoyancyForce::read(), effectivenessHeatExchangerSource::read(), explicitPorositySource::read(), heatSource::read(), heatTransfer::read(), massSourceBase::read(), phaseLimitStabilisation::read(), rotorDiskSource::read(), sixDoFAccelerationSource::read(), solidEquilibriumEnergySource::read(), solidificationMeltingSource::read(), volumeFractionSource::read(), codedFvModel::read(), semiImplicitSource::read(), interRegionModel::read(), and forcing::read().

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◆ sourceDims() [3/4]

Foam::dimensionSet sourceDims	(	const VolField< Type > &	field,
		const dimensionSet &	ds,
		const AlphaRhoFieldType &	alphaRho,
		const AlphaRhoFieldTypes &...	alphaRhos
	)

Definition at line 29 of file fvModelTemplates.C.

References fvModel::sourceDims().

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◆ sourceDims() [4/4]

Foam::dimensionSet sourceDims	(	const VolField< Type > &	field,
		const dimensionSet &	ds
	)

Definition at line 42 of file fvModelTemplates.C.

References DimensionedField< Type, GeoMesh >::dimensions().

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◆ source() [11/20]

Foam::tmp<Foam::fvMatrix<Type> > source	(	const VolField< Type > &	field,
		const word &	fieldName,
		const dimensionSet &	ds,
		const AlphaRhoFieldTypes &...	alphaRhos
	)		const

Definition at line 55 of file fvModelTemplates.C.

References tmp< T >::ref().

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◆ source() [12/20]

Foam::tmp<Foam::fvMatrix<Type> > source ( const VolField< Type > & field ) const

Definition at line 85 of file fvModelTemplates.C.

References IOobject::name().

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◆ source() [13/20]

Foam::tmp<Foam::fvMatrix<Type> > source	(	const VolField< Type > &	field,
		const word &	fieldName
	)		const

Definition at line 95 of file fvModelTemplates.C.

References Foam::dimTime, and Foam::dimVolume.

◆ source() [14/20]

Foam::tmp<Foam::fvMatrix<Type> > source	(	const volScalarField &	rho,
		const VolField< Type > &	field
	)		const

Definition at line 106 of file fvModelTemplates.C.

References IOobject::name(), and rho.

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◆ source() [15/20]

Foam::tmp<Foam::fvMatrix<Type> > source	(	const volScalarField &	rho,
		const VolField< Type > &	field,
		const word &	fieldName
	)		const

Definition at line 117 of file fvModelTemplates.C.

References Foam::dimTime, Foam::dimVolume, and rho.

◆ source() [16/20]

Foam::tmp<Foam::fvMatrix<Type> > source	(	const volScalarField &	alpha,
		const volScalarField &	rho,
		const VolField< Type > &	field
	)		const

Definition at line 129 of file fvModelTemplates.C.

References alpha(), IOobject::name(), and rho.

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◆ source() [17/20]

Foam::tmp<Foam::fvMatrix<Type> > source	(	const volScalarField &	alpha,
		const volScalarField &	rho,
		const VolField< Type > &	field,
		const word &	fieldName
	)		const

Definition at line 141 of file fvModelTemplates.C.

References alpha(), Foam::dimTime, Foam::dimVolume, and rho.

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◆ source() [18/20]

Foam::tmp<Foam::fvMatrix<Type> > source	(	const geometricOneField &	alpha,
		const geometricOneField &	rho,
		const VolField< Type > &	field
	)		const

Definition at line 154 of file fvModelTemplates.C.

References IOobject::name().

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◆ source() [19/20]

Foam::tmp<Foam::fvMatrix<Type> > source	(	const volScalarField &	alpha,
		const geometricOneField &	rho,
		const VolField< Type > &	field
	)		const

Definition at line 166 of file fvModelTemplates.C.

References alpha(), Foam::dimless, IOobject::name(), IOobject::NO_READ, and IOobject::NO_WRITE.

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◆ source() [20/20]

Foam::tmp<Foam::fvMatrix<Type> > source	(	const geometricOneField &	alpha,
		const volScalarField &	rho,
		const VolField< Type > &	field
	)		const

Definition at line 193 of file fvModelTemplates.C.

References IOobject::name(), and rho.

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◆ d2dt2() [3/4]

Foam::tmp<Foam::fvMatrix<Type> > d2dt2 ( const VolField< Type > & field ) const

Definition at line 207 of file fvModelTemplates.C.

References Foam::fvc::d2dt2(), and IOobject::name().

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◆ d2dt2() [4/4]

Foam::tmp<Foam::fvMatrix<Type> > d2dt2	(	const VolField< Type > &	field,
		const word &	fieldName
	)		const

Definition at line 217 of file fvModelTemplates.C.

References Foam::dimTime, Foam::dimVolume, and Foam::sqr().

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

src/finiteVolume/cfdTools/general/fvModels/fvModel.H
src/finiteVolume/cfdTools/general/fvModels/fvModel.C
src/finiteVolume/cfdTools/general/fvModels/fvModelI.H
src/finiteVolume/cfdTools/general/fvModels/fvModelTemplates.C

Classes

Public Member Functions

Static Public Member Functions

Protected Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ fvModel()

◆ ~fvModel()

Member Function Documentation

◆ addSupType() [1/3]

◆ addSupType() [2/3]

◆ addSupType() [3/3]

◆ source() [1/20]

◆ TypeName()

◆ declareRunTimeSelectionTable()

◆ sourceDims() [1/4]

◆ sourceDims() [2/4]

◆ clone()

◆ New()

◆ name()

◆ mesh()

◆ coeffs()

◆ addSupFields()

◆ addsSupToField()

◆ maxDeltaT()

◆ FOR_ALL_FIELD_TYPES() [1/3]

◆ FOR_ALL_FIELD_TYPES() [2/3]

◆ FOR_ALL_FIELD_TYPES() [3/3]

◆ source() [2/20]

◆ source() [3/20]

◆ source() [4/20]

◆ source() [5/20]

◆ source() [6/20]

◆ source() [7/20]

◆ source() [8/20]

◆ source() [9/20]

◆ source() [10/20]

◆ d2dt2() [1/4]

◆ d2dt2() [2/4]

◆ preUpdateMesh()

◆ movePoints()

◆ topoChange()

◆ mapMesh()

◆ distribute()

◆ correct()

◆ read()

◆ sourceDims() [3/4]

◆ sourceDims() [4/4]

◆ source() [11/20]

◆ source() [12/20]

◆ source() [13/20]

◆ source() [14/20]

◆ source() [15/20]

◆ source() [16/20]

◆ source() [17/20]

◆ source() [18/20]

◆ source() [19/20]

◆ source() [20/20]

◆ d2dt2() [3/4]

◆ d2dt2() [4/4]