SolutionInstance TubeLF::Integrate(d dt) {
// Integrate using Lax-Friedrich method
d t=sol.getTime();
d newt = t + dt;
// Define new solutioninstance
SolutionInstance newsol(gp);
newsol.setTime(newt);
const vd& oldrho=sol.rho();
const vd& oldm=sol.m();
const vd& oldrhoE=sol.rhoE();
vd& rho=newsol.rho_ref();
vd& m=newsol.m_ref();
vd& rhoE=newsol.rhoE_ref();
// Fluxes from previous solution
vd Cflux=sol.Cflux();
vd Mflux=sol.Mflux();
vd Eflux=sol.Eflux();
{ // Left boundary
d la = dt/dx;
rho(0) = oldrho(0);
rho(0)+=-la*(Cflux(1)-Cflux(0));
d oldu0=oldm(0)/oldrho(0);
// std::cout << "oldu:"<< oldu0 << std::endl;
d momfluxl = pow(oldm(0), 2)/oldrho(0) + pleft(t);
m(0) = oldm(0);
m(0)+=-la*(Mflux(1)-momfluxl);
rhoE(0) = oldrhoE(0);
rhoE(0)+=-la*(Eflux(1)-Eflux(0));
} // End left boundary
{ // Inner nodes
d lambda = dt/(2*dx);
rho.subvec(1,gp-2)=0.5*(oldrho.head(gp-2) + oldrho.tail(gp-2));
rho.subvec(1,gp-2)+=-lambda*(Cflux.tail(gp-2) -Cflux.head(gp-2));
m.subvec(1,gp-2)=0.5*(oldm.head(gp-2) + oldm.tail(gp-2));
m.subvec(1,gp-2)+=-lambda*(Mflux.tail(gp-2) -Mflux.head(gp-2));
rhoE.subvec(1,gp-2)=0.5*(oldrhoE.head(gp-2) + oldrhoE.tail(gp-2));
rhoE.subvec(1,gp-2)+=-lambda*(Eflux.tail(gp-2) -Eflux.head(gp-2));
} // End inner nodes
{ // Right boundary
int i = gp - 1;
d la = dt/dx;
rho(i) = oldrho(i);
rho(i)+=-la*(0-Cflux(i-1));
m(i) = 0;
rhoE(i) = oldrhoE(i);
rhoE(i)+=-la*(0-Eflux(i-1));
} // End right boundary
return newsol;
}
// Update the coefficients associated with the patch field
void tractionDisplacementFvPatchVectorField::updateCoeffs()
{
if (updated())
{
return;
}
const dictionary& mechanicalProperties =
db().lookupObject<IOdictionary>("mechanicalProperties");
const dictionary& thermalProperties =
db().lookupObject<IOdictionary>("thermalProperties");
dimensionedScalar rho(mechanicalProperties.lookup("rho"));
dimensionedScalar rhoE(mechanicalProperties.lookup("E"));
dimensionedScalar nu(mechanicalProperties.lookup("nu"));
dimensionedScalar E = rhoE/rho;
dimensionedScalar mu = E/(2.0*(1.0 + nu));
dimensionedScalar lambda = nu*E/((1.0 + nu)*(1.0 - 2.0*nu));
dimensionedScalar threeK = E/(1.0 - 2.0*nu);
Switch planeStress(mechanicalProperties.lookup("planeStress"));
if (planeStress)
{
lambda = nu*E/((1.0 + nu)*(1.0 - nu));
threeK = E/(1.0 - nu);
}
vectorField n = patch().nf();
const fvPatchField<tensor>& gradU =
patch().lookupPatchField<volTensorField, tensor>("grad(U)");
gradient() =
(
(traction_ - pressure_*n)/rho.value()
- (n & (mu.value()*gradU.T() - (mu + lambda).value()*gradU))
- n*tr(gradU)*lambda.value()
)/(2.0*mu + lambda).value();
Switch thermalStress(thermalProperties.lookup("thermalStress"));
if (thermalStress)
{
dimensionedScalar alpha(thermalProperties.lookup("alpha"));
dimensionedScalar threeKalpha = threeK*alpha;
const fvPatchField<scalar>& T =
patch().lookupPatchField<volScalarField, scalar>("T");
gradient() += n*threeKalpha.value()*T/(2.0*mu + lambda).value();
}
fixedGradientFvPatchVectorField::updateCoeffs();
}
void tractionDisplacementFvPatchVectorField::updateCoeffs()
{
if (updated())
{
return;
}
const dictionary& mechanicalProperties =
db().lookupObject<IOdictionary>("mechanicalProperties");
const dictionary& thermalProperties =
db().lookupObject<IOdictionary>("thermalProperties");
dimensionedScalar rho(mechanicalProperties.lookup("rho"));
dimensionedScalar rhoE(mechanicalProperties.lookup("E"));
dimensionedScalar nu(mechanicalProperties.lookup("nu"));
dimensionedScalar E = rhoE/rho;
dimensionedScalar mu = E/(2.0*(1.0 + nu));
dimensionedScalar lambda = nu*E/((1.0 + nu)*(1.0 - 2.0*nu));
dimensionedScalar threeK = E/(1.0 - 2.0*nu);
Switch planeStress(mechanicalProperties.lookup("planeStress"));
if (planeStress)
{
lambda = nu*E/((1.0 + nu)*(1.0 - nu));
threeK = E/(1.0 - nu);
}
scalar twoMuLambda = (2*mu + lambda).value();
vectorField n(patch().nf());
const fvPatchField<symmTensor>& sigmaD =
patch().lookupPatchField<volSymmTensorField, symmTensor>("sigmaD");
gradient() =
(
(traction_ + pressure_*n)/rho.value()
+ twoMuLambda*fvPatchField<vector>::snGrad() - (n & sigmaD)
)/twoMuLambda;
Switch thermalStress(thermalProperties.lookup("thermalStress"));
if (thermalStress)
{
dimensionedScalar alpha(thermalProperties.lookup("alpha"));
dimensionedScalar threeKalpha = threeK*alpha;
const fvPatchField<scalar>& T =
patch().lookupPatchField<volScalarField, scalar>("T");
gradient() += n*threeKalpha.value()*T/twoMuLambda;
}
fixedGradientFvPatchVectorField::updateCoeffs();
}
// Update the coefficients associated with the patch field
void tractionDisplacementCorrectionFvPatchVectorField::updateCoeffs()
{
if (updated())
{
return;
}
const dictionary& mechanicalProperties = db().lookupObject<IOdictionary>
(
"mechanicalProperties"
);
dimensionedScalar rho(mechanicalProperties.lookup("rho"));
dimensionedScalar rhoE(mechanicalProperties.lookup("E"));
dimensionedScalar nu(mechanicalProperties.lookup("nu"));
dimensionedScalar E = rhoE/rho;
dimensionedScalar mu = E/(2.0*(1.0 + nu));
dimensionedScalar lambda = nu*E/((1.0 + nu)*(1.0 - 2.0*nu));
Switch planeStress(mechanicalProperties.lookup("planeStress"));
if (planeStress)
{
lambda = nu*E/((1.0 + nu)*(1.0 - nu));
}
vectorField n = patch().nf();
const fvPatchField<symmTensor>& sigmaD =
patch().lookupPatchField<volSymmTensorField, symmTensor>("sigmaD");
const fvPatchField<tensor>& sigmaExp =
patch().lookupPatchField<volTensorField, tensor>("sigmaExp");
gradient() =
(
(traction_ + pressure_*n)/rho.value() - (n & (sigmaD + sigmaExp))
)/(2.0*mu + lambda).value();
fixedGradientFvPatchVectorField::updateCoeffs();
}
