if (divSigmaExpMethod == "standard")
{
divSigmaExp = fvc::div
(
mu*gradU.T() + lambda*(I*tr(gradU)) - (mu + lambda)*gradU,
"div(sigma)"
);
}
else if(divSigmaExpMethod == "surface")
muf*(mesh.Sf() & fvc::interpolate(gradU.T()))
+ lambdaf*(mesh.Sf() & I*fvc::interpolate(tr(gradU)))
- (muf + lambdaf)*(mesh.Sf() & fvc::interpolate(gradU))
else if(divSigmaExpMethod == "decompose")
snGradU = fvc::snGrad(U);
surfaceTensorField shearGradU = ((I - n*n) & fvc::interpolate(gradU));
mesh.magSf()*
- (muf + lambdaf)*(snGradU & (I - n*n))
+ lambdaf*tr(shearGradU & (I - n*n))*n
+ muf*(shearGradU & n)
)
else if(divSigmaExpMethod == "expLaplacian")
divSigmaExp =
- fvc::laplacian(mu + lambda, U, "laplacian(DU,U)")
+ fvc::div(mu*gradU.T() + lambda*(I*tr(gradU)), "div(sigma)");
else
FatalErrorIn(args.executable())
<< "divSigmaExp method " << divSigmaExpMethod << " not found!" << endl;