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foam-extend4.1-coherent-io/applications/solvers/incompressible/RichardsFoam/psiEqn.H

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psim1 = psi;
psi = psi_tmp;
// Resolution of the linear system.
fvScalarMatrix psiEqn
(
Crel*fvm::ddt(psi)
==
fvm::laplacian(Krel, psi, "laplacian(Krel,psi)")
+ gradkz
);
psiEqn.relax();
psiEqn.solve();
// Update of the varying transport properties.
thtil = 0.5*
(
(1 + sign(psi)) + (1 - sign(psi))*
pow((1+pow(mag(alpha*psi),n)),-(1-(1/n)))
);
Krel = 0.5*
(
(1 + sign(psi))*K + (1 - sign(psi))*K*pow(thtil, 0.5)*
pow((1 - pow((1 - pow(thtil, (n/(n - 1)))),(1 - (1/n)))), 2)
);
Crel= S + 0.5*
(
(1 - sign(psi))*
(
(thetas - thetar)*(thtil - thtil_tmp)*
(
1./((usf*pos(psi - psi_tmp)*pos(psi_tmp - psi))
+ psi - psi_tmp)
)
)
);
// Update of the gravity term.
gradk = fvc::grad(Krel);
gradkz = gradk.component(2);
// Computation of the field of residuals for the exit test of
// the Picard loop.
err = psi - psim1;
// Computation of the residual for the exit test of the Picard
// loop. Note the use of gSum instead of sum.
crit = gSumMag(err)/nbMesh;
// exit test for the Picard loop.
if (crit < precPicard)
{
Info << " Erreur = " << crit
<< " Picard = " << pic
<< nl << endl;
currentPicard=pic;
break;
}