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

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

typedef BasicMomentumTransportModel::rhoField	rhoField

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 viscosity &viscosity, 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	predict ()
	The Maxwell stress is not predicted. More...

virtual void	correct ()
	Correct the Maxwell stress. 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 viscosity &viscosity),(alpha, rho, U, alphaRhoPhi, phi, viscosity))

	laminarModel (const word &type, const alphaField &alpha, const rhoField &rho, const volVectorField &U, const surfaceScalarField &alphaRhoPhi, const surfaceScalarField &phi, const viscosity &viscosity)
	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...

virtual tmp< volScalarField >	omega () const
	Return the turbulence specific 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 non-Newtonian 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 viscosity &viscosity)
	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 viscosity model from which it is instantiated, which makes it equivalent to the Oldroyd-B model for the case of an incompressible viscosity 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.

Constructor & Destructor Documentation

◆ Maxwell()

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