Generalised Maxwell model for viscoelasticity using the upper-convected time derivative of the stress tensor with support for multiple modes. More...

Inheritance diagram for Maxwell< BasicMomentumTransportModel >:

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Collaboration diagram for Maxwell< BasicMomentumTransportModel >:

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Public Types
typedef BasicMomentumTransportModel::alphaField	alphaField

typedef BasicMomentumTransportModel::rhoField	rhoField

typedef BasicMomentumTransportModel::transportModel	transportModel

Public Types inherited from laminarModel< BasicMomentumTransportModel >
typedef BasicMomentumTransportModel::alphaField	alphaField

typedef BasicMomentumTransportModel::rhoField	rhoField

typedef BasicMomentumTransportModel::transportModel	transportModel

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

	Maxwell (const alphaField &alpha, const rhoField &rho, const volVectorField &U, const surfaceScalarField &alphaRhoPhi, const surfaceScalarField &phi, const transportModel &transport, const word &type=typeName)
	Construct from components. More...

virtual	~Maxwell ()
	Destructor. More...

virtual bool	read ()
	Read model coefficients if they have changed. More...

virtual tmp< volScalarField >	nuEff () const
	Return the effective viscosity, i.e. the laminar viscosity. More...

virtual tmp< scalarField >	nuEff (const label patchi) const
	Return the effective viscosity on patch. More...

virtual tmp< volSymmTensorField >	sigma () const
	Return the stress tensor [m^2/s^2]. More...

virtual tmp< volSymmTensorField >	devTau () const
	Return the effective stress tensor. More...

virtual tmp< fvVectorMatrix >	divDevTau (volVectorField &U) const
	Return the source term for the momentum equation. More...

virtual tmp< fvVectorMatrix >	divDevTau (const volScalarField &rho, volVectorField &U) const
	Return the source term for the momentum equation. More...

virtual void	correct ()
	Solve the turbulence equations and correct eddy-Viscosity and. More...

Public Member Functions inherited from laminarModel< BasicMomentumTransportModel >
	TypeName ("laminar")
	Runtime type information. More...

	declareRunTimeSelectionTable (autoPtr, laminarModel, dictionary,(const alphaField &alpha, const rhoField &rho, const volVectorField &U, const surfaceScalarField &alphaRhoPhi, const surfaceScalarField &phi, const transportModel &transport),(alpha, rho, U, alphaRhoPhi, phi, transport))

	laminarModel (const word &type, const alphaField &alpha, const rhoField &rho, const volVectorField &U, const surfaceScalarField &alphaRhoPhi, const surfaceScalarField &phi, const transportModel &transport)
	Construct from components. More...

	laminarModel (const laminarModel &)=delete
	Disallow default bitwise copy construction. More...

virtual	~laminarModel ()
	Destructor. More...

virtual const dictionary &	coeffDict () const
	Const access to the coefficients dictionary. More...

virtual tmp< volScalarField >	nut () const
	Return the turbulence viscosity, i.e. 0 for laminar flow. More...

virtual tmp< scalarField >	nut (const label patchi) const
	Return the turbulence viscosity on patch. More...

virtual tmp< volScalarField >	k () const
	Return the turbulence kinetic energy, i.e. 0 for laminar flow. More...

virtual tmp< volScalarField >	epsilon () const
	Return the turbulence kinetic energy dissipation rate,. More...

void	operator= (const laminarModel &)=delete
	Disallow default bitwise assignment. More...

Protected Member Functions
PtrList< dimensionedScalar >	readModeCoefficients (const word &name, const dimensionSet &dims) const

tmp< volScalarField >	nu0 () const
	Return the turbulence viscosity. More...

virtual tmp< fvSymmTensorMatrix >	sigmaSource (const label modei, volSymmTensorField &sigma) const

Protected Member Functions inherited from laminarModel< BasicMomentumTransportModel >
virtual void	printCoeffs (const word &type)
	Print model coefficients. More...

Protected Attributes
PtrList< dictionary >	modeCoefficients_

label	nModes_

dimensionedScalar	nuM_

PtrList< dimensionedScalar >	lambdas_

volSymmTensorField	sigma_
	Single or mode sum viscoelastic stress. More...

PtrList< volSymmTensorField >	sigmas_
	Mode viscoelastic stresses. More...

Protected Attributes inherited from laminarModel< BasicMomentumTransportModel >
dictionary	laminarDict_
	laminar coefficients dictionary More...

Switch	printCoeffs_
	Flag to print the model coeffs at run-time. More...

dictionary	coeffDict_
	Model coefficients dictionary. More...

Additional Inherited Members
Static Public Member Functions inherited from laminarModel< BasicMomentumTransportModel >
static autoPtr< laminarModel >	New (const alphaField &alpha, const rhoField &rho, const volVectorField &U, const surfaceScalarField &alphaRhoPhi, const surfaceScalarField &phi, const transportModel &transport)
	Return a reference to the selected laminar model. More...

Detailed Description

template<class BasicMomentumTransportModel>
class Foam::laminarModels::Maxwell< BasicMomentumTransportModel >

Generalised Maxwell model for viscoelasticity using the upper-convected time derivative of the stress tensor with support for multiple modes.

See http://en.wikipedia.org/wiki/Upper-convected_Maxwell_model http://en.wikipedia.org/wiki/Generalised_Maxwell_model

The model includes an additional viscosity (nu) from the transport model from which it is instantiated, which makes it equivalent to the Oldroyd-B model for the case of an incompressible transport model (where nu is non-zero). See https://en.wikipedia.org/wiki/Oldroyd-B_model

Reference:

    Wiechert, E. (1889). Ueber elastische Nachwirkung.
    (Doctoral dissertation, Hartungsche buchdr.).

    Wiechert, E. (1893).
    Gesetze der elastischen Nachwirkung für constante Temperatur.
    Annalen der Physik, 286(11), 546-570.

    Amoreira, L. J., & Oliveira, P. J. (2010).
    Comparison of different formulations for the numerical calculation
    of unsteady incompressible viscoelastic fluid flow.
    Adv. Appl. Math. Mech, 4, 483-502.

Source files

Definition at line 76 of file Maxwell.H.

Member Typedef Documentation

◆ alphaField

typedef BasicMomentumTransportModel::alphaField alphaField

Definition at line 128 of file Maxwell.H.

◆ rhoField

typedef BasicMomentumTransportModel::rhoField rhoField

Definition at line 129 of file Maxwell.H.

◆ transportModel

typedef BasicMomentumTransportModel::transportModel transportModel

Definition at line 130 of file Maxwell.H.

Constructor & Destructor Documentation

◆ Maxwell()

Maxwell	(	const alphaField &	alpha,
		const rhoField &	rho,
		const volVectorField &	U,
		const surfaceScalarField &	alphaRhoPhi,
		const surfaceScalarField &	phi,
		const transportModel &	transport,
		const word &	type = `typeName`
	)