Foam::tmp<Foam::fvMatrix<Type>>
Foam::fvm::SuSp
(
const DimensionedField<scalar, volMesh>& susp,
const GeometricField<Type, fvPatchField, volMesh>& vf
)
{
const fvMesh& mesh = vf.mesh();
tmp<fvMatrix<Type>> tfvm
(
new fvMatrix<Type>
(
vf,
dimVol*susp.dimensions()*vf.dimensions()
)
);
fvMatrix<Type>& fvm = tfvm.ref();
fvm.diag() += mesh.V()*max(susp.field(), scalar(0));
fvm.source() -= mesh.V()*min(susp.field(), scalar(0))
*vf.primitiveField();
return tfvm;
}
tmp<GeometricField<Type, fvPatchField, volMesh>>
EulerD2dt2Scheme<Type>::fvcD2dt2
(
const GeometricField<Type, fvPatchField, volMesh>& vf
)
{
dimensionedScalar rDeltaT2 =
4.0/sqr(mesh().time().deltaT() + mesh().time().deltaT0());
IOobject d2dt2IOobject
(
"d2dt2("+vf.name()+')',
mesh().time().timeName(),
mesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
);
scalar deltaT = mesh().time().deltaTValue();
scalar deltaT0 = mesh().time().deltaT0Value();
scalar coefft = (deltaT + deltaT0)/(2*deltaT);
scalar coefft00 = (deltaT + deltaT0)/(2*deltaT0);
scalar coefft0 = coefft + coefft00;
if (mesh().moving())
{
scalar halfRdeltaT2 = rDeltaT2.value()/2.0;
scalarField VV0 = mesh().V() + mesh().V0();
scalarField V0V00 = mesh().V0() + mesh().V00();
return tmp<GeometricField<Type, fvPatchField, volMesh>>
(
new GeometricField<Type, fvPatchField, volMesh>
(
d2dt2IOobject,
mesh(),
rDeltaT2.dimensions()*vf.dimensions(),
halfRdeltaT2*
(
coefft*VV0*vf.primitiveField()
- (coefft*VV0 + coefft00*V0V00)
*vf.oldTime().primitiveField()
+ (coefft00*V0V00)*vf.oldTime().oldTime().primitiveField()
)/mesh().V(),
rDeltaT2.value()*
(
coefft*vf.boundaryField()
- coefft0*vf.oldTime().boundaryField()
+ coefft00*vf.oldTime().oldTime().boundaryField()
)
)
);
}
else
{
return tmp<GeometricField<Type, fvPatchField, volMesh>>
(
new GeometricField<Type, fvPatchField, volMesh>
(
d2dt2IOobject,
rDeltaT2*
(
coefft*vf
- coefft0*vf.oldTime()
+ coefft00*vf.oldTime().oldTime()
)
)
);
}
}
tmp<GeometricField<Type, fvPatchField, volMesh>>
EulerD2dt2Scheme<Type>::fvcD2dt2
(
const volScalarField& rho,
const GeometricField<Type, fvPatchField, volMesh>& vf
)
{
dimensionedScalar rDeltaT2 =
4.0/sqr(mesh().time().deltaT() + mesh().time().deltaT0());
IOobject d2dt2IOobject
(
"d2dt2("+rho.name()+','+vf.name()+')',
mesh().time().timeName(),
mesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
);
scalar deltaT = mesh().time().deltaTValue();
scalar deltaT0 = mesh().time().deltaT0Value();
scalar coefft = (deltaT + deltaT0)/(2*deltaT);
scalar coefft00 = (deltaT + deltaT0)/(2*deltaT0);
if (mesh().moving())
{
scalar halfRdeltaT2 = 0.5*rDeltaT2.value();
scalar quarterRdeltaT2 = 0.25*rDeltaT2.value();
const scalarField VV0rhoRho0
(
(mesh().V() + mesh().V0())
* (rho.primitiveField() + rho.oldTime().primitiveField())
);
const scalarField V0V00rho0Rho00
(
(mesh().V0() + mesh().V00())
* (
rho.oldTime().primitiveField()
+ rho.oldTime().oldTime().primitiveField()
)
);
return tmp<GeometricField<Type, fvPatchField, volMesh>>
(
new GeometricField<Type, fvPatchField, volMesh>
(
d2dt2IOobject,
mesh(),
rDeltaT2.dimensions()*rho.dimensions()*vf.dimensions(),
quarterRdeltaT2*
(
coefft*VV0rhoRho0*vf.primitiveField()
- (coefft*VV0rhoRho0 + coefft00*V0V00rho0Rho00)
*vf.oldTime().primitiveField()
+ (coefft00*V0V00rho0Rho00)
*vf.oldTime().oldTime().primitiveField()
)/mesh().V(),
halfRdeltaT2*
(
coefft
*(rho.boundaryField() + rho.oldTime().boundaryField())
*vf.boundaryField()
- (
coefft
*(
rho.boundaryField()
+ rho.oldTime().boundaryField()
)
+ coefft00
*(
rho.oldTime().boundaryField()
+ rho.oldTime().oldTime().boundaryField()
)
)*vf.oldTime().boundaryField()
+ coefft00
*(
rho.oldTime().boundaryField()
+ rho.oldTime().oldTime().boundaryField()
)*vf.oldTime().oldTime().boundaryField()
)
)
);
}
else
{
dimensionedScalar halfRdeltaT2 = 0.5*rDeltaT2;
const volScalarField rhoRho0(rho + rho.oldTime());
const volScalarField rho0Rho00(rho.oldTime() +rho.oldTime().oldTime());
return tmp<GeometricField<Type, fvPatchField, volMesh>>
(
new GeometricField<Type, fvPatchField, volMesh>
(
d2dt2IOobject,
halfRdeltaT2*
(
coefft*rhoRho0*vf
- (coefft*rhoRho0 + coefft00*rho0Rho00)*vf.oldTime()
+ coefft00*rho0Rho00*vf.oldTime().oldTime()
)
)
);
}
}
