twoPhaseEulerFoam: new virtual-mass formulation being considered

2012-03-16 12:26:50 +00:00 · 2012-03-16 12:26:50 +00:00 · f6df09870b
commit f6df09870b
parent 82be4453f4
2 changed files with 131 additions and 0 deletions
--- a/applications/solvers/multiphase/twoPhaseEulerFoam/newVirualMass/DDtU.H
+++ b/applications/solvers/multiphase/twoPhaseEulerFoam/newVirualMass/DDtU.H
@ -0,0 +1,11 @@
+{
+    DDtU1 =
+        fvc::ddt(U1)
+      + fvc::div(phi, U1)
+      - fvc::div(phi)*U1;
+
+    DDtU2 =
+        fvc::ddt(U2)
+      + fvc::div(phi, U2)
+      - fvc::div(phi)*U2;
+}
--- a/applications/solvers/multiphase/twoPhaseEulerFoam/newVirualMass/UEqns.H
+++ b/applications/solvers/multiphase/twoPhaseEulerFoam/newVirualMass/UEqns.H
@ -0,0 +1,120 @@
+fvVectorMatrix U1Eqn(U1, U1.dimensions()*dimVol/dimTime);
+fvVectorMatrix U2Eqn(U2, U2.dimensions()*dimVol/dimTime);
+
+{
+    volScalarField Cvma
+    (
+        Cvm
+       /(
+           1
+         + mag(fvc::grad(alpha1))
+          *dimensionedScalar("l", dimLength, 1e-2)
+       )
+    );
+
+    {
+        volTensorField gradU1T(T(fvc::grad(U1)));
+
+        if (kineticTheory.on())
+        {
+            kineticTheory.solve(gradU1T);
+            nuEff1 = kineticTheory.mu1()/rho1;
+        }
+        else // If not using kinetic theory is using Ct model
+        {
+            nuEff1 = sqr(Ct)*nut2 + nu1;
+        }
+
+        volTensorField Rc1
+        (
+            "Rc1",
+            (((2.0/3.0)*I)*nuEff1)*tr(gradU1T) - nuEff1*gradU1T
+        );
+
+        if (kineticTheory.on())
+        {
+            Rc1 -= ((kineticTheory.lambda()/rho1)*tr(gradU1T))*tensor(I);
+        }
+
+        surfaceScalarField phiR1
+        (
+            -fvc::interpolate(nuEff1)*mesh.magSf()*fvc::snGrad(alpha1)
+            /fvc::interpolate(alpha1 + scalar(0.001))
+        );
+
+        U1Eqn =
+        (
+            fvm::ddt(U1)
+          + fvm::div(phi1, U1)
+          - fvm::Sp(fvc::div(phi1), U1)
+
+          + Cvma*alpha2*rho/rho1*
+            (
+                fvm::ddt(U1)
+              + fvm::div(phi, U1)
+              - fvm::Sp(fvc::div(phi), U1)
+            )
+
+          - fvm::laplacian(nuEff1, U1)
+          + fvc::div(Rc1)
+
+          + fvm::div(phiR1, U1, "div(phi1,U1)")
+          - fvm::Sp(fvc::div(phiR1), U1)
+          + (fvc::grad(alpha1)/(fvc::average(alpha1) + scalar(0.001)) & Rc1)
+         ==
+        //  g                          // Buoyancy term transfered to p-equation
+          - fvm::Sp(alpha2/rho1*K, U1)
+        //+ alpha2/rho1*K*U2           // Explicit drag transfered to p-equation
+        //  - fvm::Sp(K/rho1, U1)
+        ////+ K/rho1*U           // Explicit drag transfered to p-equation
+          - alpha2/rho1*liftCoeff + Cvma*alpha2*rho*DDtU2/rho1
+        );
+
+        U1Eqn.relax();
+    }
+
+    {
+        volTensorField gradU2T(T(fvc::grad(U2)));
+        volTensorField Rc2
+        (
+            "Rc2",
+            (((2.0/3.0)*I)*nuEff2)*tr(gradU2T) - nuEff2*gradU2T
+        );
+
+        surfaceScalarField phiR2
+        (
+            -fvc::interpolate(nuEff2)*mesh.magSf()*fvc::snGrad(alpha2)
+            /fvc::interpolate(alpha2 + scalar(0.001))
+        );
+
+        U2Eqn =
+        (
+            fvm::ddt(U2)
+          + fvm::div(phi2, U2)
+          - fvm::Sp(fvc::div(phi2), U2)
+
+          + Cvma*alpha1*rho/rho2*
+            (
+                fvm::ddt(U2)
+              + fvm::div(phi, U2)
+              - fvm::Sp(fvc::div(phi), U2)
+            )
+
+          - fvm::laplacian(nuEff2, U2)
+          + fvc::div(Rc2)
+
+          + fvm::div(phiR2, U2, "div(phi2,U2)")
+          - fvm::Sp(fvc::div(phiR2), U2)
+          + (fvc::grad(alpha2)/(fvc::average(alpha2) + scalar(0.001)) & Rc2)
+         ==
+        //  g                          // Buoyancy term transfered to p-equation
+          - fvm::Sp(alpha1/rho2*K, U2)
+        //+ alpha1/rho2*K*U1           // Explicit drag transfered to p-equation
+        //  - fvm::Sp(K/rho2, U2)
+        ////+ K/rho2*U           // Explicit drag transfered to p-equation
+          + alpha1/rho2*liftCoeff + Cvma*alpha1*rho*DDtU1/rho2
+        );
+
+        U2Eqn.relax();
+    }
+}