void FENE_P::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad( U() );
// Convected derivate term
volTensorField C = tau_ & L;
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm( L );
// Stress transport equation
tmp<fvSymmTensorMatrix> tauEqn
(
fvm::ddt(tau_)
+ fvm::div(phi(), tau_)
==
( 1 / lambda_ / (1 - 3/L2_) ) * etaP_ * twoD
+ twoSymm( C )
- fvm::Sp( 1 / lambda_ + ( 3 / lambda_ / (1 - 3/L2_) + tr(tau_)/etaP_ ) / (L2_), tau_ )
);
tauEqn().relax();
solve(tauEqn);
}
void XPP_SE::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad( U() );
// Convected derivate term
volTensorField C = tau_ & L;
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm( L );
// Two phase transport properties treatment
volScalarField alpha1f = min(max(alpha(), scalar(0)), scalar(1));
volScalarField lambdaOb = alpha1f*lambdaOb1_ + (scalar(1) - alpha1f)*lambdaOb2_;
volScalarField lambdaOs = alpha1f*lambdaOs1_ + (scalar(1) - alpha1f)*lambdaOs2_;
volScalarField etaP = alpha1f*etaP1_ + (scalar(1) - alpha1f)*etaP2_;
volScalarField alpha = alpha1f*alpha1_ + (scalar(1) - alpha1f)*alpha2_;
volScalarField q = alpha1f*q1_ + (scalar(1) - alpha1f)*q2_;
// Lambda (Backbone stretch)
volScalarField Lambda = Foam::sqrt( 1 + tr(tau_)*lambdaOb/3/etaP );
// lambdaS (stretch relaxation time)
volScalarField lambdaS = lambdaOs*Foam::exp( -2/q*(Lambda - 1)); // lambdaOs and q different from zero
// Extra function
volScalarField fTau = 2*lambdaOb/lambdaS*(1 - 1/Lambda) + 1/Foam::sqr(Lambda)*(1 - alpha*tr(tau_ & tau_)*Foam::sqr(lambdaOb)/3/Foam::sqr(etaP));
// Stress transport equation
tmp<fvSymmTensorMatrix> tauEqn
(
fvm::ddt(lambdaOb, tau_)
+ lambdaOb * fvm::div(phi(), tau_)
==
etaP * twoD
+ lambdaOb * twoSymm( C )
- fvm::Sp(fTau, tau_)
- ( alpha*lambdaOb/etaP*(tau_ & tau_) + etaP/(lambdaOb + pt_)*(fTau -1)*I_) // pt_ to avoid numeric problems for lambdaOb = 0. Jovani Favero - 29/12/2009
);
tauEqn().relax();
solve(tauEqn);
}
void Foam::Oldroyd_B::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad(U());
// Convected derivate term
volTensorField C = tau_ & L;
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm(L);
// Stress transport equation
fvSymmTensorMatrix tauEqn
(
fvm::ddt(tau_)
+ fvm::div(phi(), tau_)
==
etaP_/lambda_*twoD
+ twoSymm(C)
- fvm::Sp(1/lambda_, tau_)
);
tauEqn.relax();
tauEqn.solve();
}
void Foam::WhiteMetznerCross::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad(U());
// Convected derivate term
volTensorField C = tau_ & L;
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm(L);
// Effective viscosity and relaxation time
volScalarField etaPValue = etaP_/
(1 + Foam::pow(K_* sqrt(2.0)*mag(symm(L)), (1 - m_)));
volScalarField lambdaValue = lambda_/
(1 + Foam::pow(L_ * sqrt(2.0)*mag(symm(L)), (1 - n_)));
// Stress transport equation
fvSymmTensorMatrix tauEqn
(
fvm::ddt(tau_)
+ fvm::div(phi(), tau_)
==
etaPValue/lambdaValue*twoD
+ twoSymm(C)
- fvm::Sp(1/lambdaValue, tau_)
);
tauEqn.relax();
tauEqn.solve();
}
void FENE_P::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad(U());
// Convected derivate term
volTensorField C = tau_ & L;
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm(L);
// Two phase transport properties treatment
volScalarField alpha1f =
min(max(alpha(),scalar(0)),scalar(1));
volScalarField lambda =
alpha1f*lambda1_ + (scalar(1) - alpha1f)*lambda2_;
volScalarField etaP =
alpha1f*etaP1_ + (scalar(1) - alpha1f)*etaP2_;
volScalarField Lquad =
alpha1f*Lquad1_ + (scalar(1) - alpha1f)*Lquad2_;
// Stress transport equation
tmp<fvSymmTensorMatrix> tauEqn
(
fvm::ddt(lambda, tau_)
+ lambda * fvm::div(phi(), tau_)
==
( 1 / (1 - 3/Lquad) ) * etaP * twoD
+ lambda * twoSymm( C )
- fvm::Sp
(
1 + (3/(1 - 3/Lquad) + lambda*tr(tau_)/etaP )/Lquad,
tau_
)
);
tauEqn().relax();
solve(tauEqn);
}
void Feta_PTT::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad( U() );
// Convected derivate term
volTensorField C = tau_ & L;
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm( L );
// Two phase transport properties treatment
alpha1f_ = min(max(alpha(), scalar(0)), scalar(1));
// etaP effective
etaPEff_ = (etaP1_/( Foam::pow(scalar(1) + A1_*Foam::pow(0.5*( Foam::sqr(tr(tau_)) - tr(tau_ & tau_) ) * Foam::sqr(lambda1_) / Foam::sqr(etaP1_), a1_), b1_) ) )*alpha1f_ + (etaP2_/( Foam::pow(scalar(1) + A2_*Foam::pow(0.5*( Foam::sqr(tr(tau_)) - tr(tau_ & tau_) ) * Foam::sqr(lambda2_) / Foam::sqr(etaP2_), a2_), b2_) ) )*(scalar(1) - alpha1f_);
// lambda effective
lambdaEff_ = (lambda1_ / (scalar(1) + epsilon1_*lambda1_*tr(tau_) / etaP1_) )*alpha1f_ + (lambda2_ / (scalar(1) + epsilon2_*lambda2_*tr(tau_) / etaP2_) )*(scalar(1) - alpha1f_);
volScalarField epsilon = alpha1f_*epsilon1_ + (scalar(1) - alpha1f_)*epsilon2_;
volScalarField zeta = alpha1f_*zeta1_ + (scalar(1) - alpha1f_)*zeta2_;
// Stress transport equation
tmp<fvSymmTensorMatrix> tauEqn
(
fvm::ddt(lambdaEff_, tau_)
+ lambdaEff_ * fvm::div(phi(), tau_)
==
etaPEff_ * twoD
+ lambdaEff_ * twoSymm( C )
- zeta * lambdaEff_ /2* symm( (tau_ & twoD) + (twoD & tau_) )
//add "twoSymm"(...), by Martin R. Du, [email protected]
//replace "*twoSymm" with "*symm", Martin R. Du, 2015/08/08
- fvm::Sp( epsilon * lambdaEff_ / etaPEff_ * tr(tau_) + 1, tau_ )
);
tauEqn().relax();
solve(tauEqn);
}
void Foam::S_MDCPP::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad(U());
// Convected derivate term
volTensorField C = tau_ & L;
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm(L);
// Two phase transport properties treatment
volScalarField alpha1f = min(max(alpha(), scalar(0)), scalar(1));
volScalarField lambdaOb = alpha1f*lambdaOb1_ + (scalar(1) - alpha1f)*lambdaOb2_;
volScalarField lambdaOs = alpha1f*lambdaOs1_ + (scalar(1) - alpha1f)*lambdaOs2_;
volScalarField etaP = alpha1f*etaP1_ + (scalar(1) - alpha1f)*etaP2_;
volScalarField zeta = alpha1f*zeta1_ + (scalar(1) - alpha1f)*zeta2_;
volScalarField q = alpha1f*q1_ + (scalar(1) - alpha1f)*q2_;
// Lambda (Backbone stretch)
volScalarField Lambda =
Foam::sqrt(1 + tr(tau_)*lambdaOb*(1 - zeta)/3/etaP);
// Auxiliary field
volScalarField aux = Foam::exp( 2/q*(Lambda - 1));
// Extra function
volScalarField fTau =
aux*(2*lambdaOb/lambdaOs*(1 - 1/Lambda) + 1/Foam::sqr(Lambda));
// Stress transport equation
fvSymmTensorMatrix tauEqn
(
fvm::ddt(lambdaOb, tau_)
+ fvm::div(phi(), tau_)
==
etaP*twoD
+ lambdaOb * twoSymm(C)
- lambdaOb * zeta*symm(tau_ & twoD)
- fvm::Sp(fTau, tau_)
- (
(etaP/lambdaOb/(1 - zeta)*(fTau - aux)*I_)
)
);
tauEqn.relax();
tauEqn.solve();
}
void Giesekus_Cross::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad(U());
// Convected derivate term
volTensorField C = tau_ & L;
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm(L);
// Two phase transport properties treatment
volScalarField alpha1f = min(max(alpha(), scalar(0)), scalar(1));
volScalarField lambda = alpha1f*lambda1_ + (scalar(1) - alpha1f)*lambda2_;
volScalarField etaP = alpha1f*etaP1_ + (scalar(1) - alpha1f)*etaP2_;
volScalarField alpha = alpha1f*alpha1_ + (scalar(1) - alpha1f)*alpha2_;
// Stress transport equation
tmp<fvSymmTensorMatrix> tauEqn
(
fvm::ddt(lambda, tau_)
+ lambda * fvm::div(phi(), tau_)
==
etaP * twoD
+ lambda * twoSymm( C )
- (alpha * lambda / mu()) * ( tau_ & tau_)
- fvm::Sp( scalar(1), tau_ )
);
Info << "test 0" << endl;
tauEqn().relax();
solve(tauEqn);
}
void Foam::EPTT::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad(U());
// Convected derivate term
volTensorField C = tau_ & L;
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm(L);
// Two phase transport properties treatment
volScalarField alpha1f =
min(max(alpha(),scalar(0)),scalar(1));
volScalarField lambda =
alpha1f*lambda1_ + (scalar(1) - alpha1f)*lambda2_;
volScalarField etaP =
alpha1f*etaP1_ + (scalar(1) - alpha1f)*etaP2_;
volScalarField epsilon =
alpha1f*epsilon1_ + (scalar(1) - alpha1f)*epsilon2_;
volScalarField zeta =
alpha1f*zeta1_ + (scalar(1) - alpha1f)*zeta2_;
// Stress transport equation
fvSymmTensorMatrix tauEqn
(
fvm::ddt(lambda,tau_)
+ lambda*fvm::div(phi(),tau_)
==
etaP*twoD
+ lambda*twoSymm(C)
- zeta*lambda/2*((tau_ & twoD) + (twoD & tau_))
- fvm::Sp
(
Foam::exp(epsilon*lambda/etaP*tr(tau_)),
tau_
)
);
tauEqn.relax();
tauEqn.solve();
}
void Foam::Maxwell::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad(U());
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm(L);
// Stress transport equation
fvSymmTensorMatrix tauEqn
(
fvm::ddt(tau_)
==
etaP_/lambda_*twoD
- fvm::Sp( 1/lambda_, tau_ )
);
tauEqn.relax();
tauEqn.solve();
}
void Foam::S_MDCPP::correct()
{
// Velocity gradient tensor
volTensorField L = fvc::grad(U());
// Convected derivate term
volTensorField C = tau_ & L;
// Twice the rate of deformation tensor
volSymmTensorField twoD = twoSymm(L);
// Lambda (Backbone stretch)
volScalarField Lambda =
Foam::sqrt(1 + tr(tau_)*lambdaOb_*(1 - zeta_)/3/etaP_);
// Auxiliary field
volScalarField aux = Foam::exp( 2/q_*(Lambda - 1));
// Extra function
volScalarField fTau =
aux*(2*lambdaOb_/lambdaOs_*(1 - 1/Lambda) + 1/Foam::sqr(Lambda));
// Stress transport equation
fvSymmTensorMatrix tauEqn
(
fvm::ddt(tau_)
+ fvm::div(phi(), tau_)
==
etaP_/lambdaOb_*twoD
+ twoSymm(C)
- zeta_/2*((tau_ & twoD) + (twoD & tau_))
- fvm::Sp(1/lambdaOb_*fTau, tau_)
- (
1/lambdaOb_*(etaP_/lambdaOb_/(1 - zeta_)*(fTau - aux)*I_)
)
);
tauEqn.relax();
tauEqn.solve();
}