90 static ComponentFluxVector
flux(
const Problem& problem,
91 const Element& element,
92 const FVElementGeometry& fvGeometry,
93 const ElementVolumeVariables& elemVolVars,
94 const SubControlVolumeFace& scvf,
96 const ElementFluxVariablesCache& elemFluxVarsCache)
100 ComponentFluxVector componentFlux(0.0);
101 ReducedComponentVector moleFracInside(0.0);
102 ReducedComponentVector moleFracOutside(0.0);
103 ReducedComponentVector reducedFlux(0.0);
104 ReducedComponentMatrix reducedDiffusionMatrixInside(0.0);
105 ReducedComponentMatrix reducedDiffusionMatrixOutside(0.0);
108 const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
109 const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
110 const auto rhoInside = insideVolVars.density(phaseIdx);
111 const auto rhoOutside = outsideVolVars.density(phaseIdx);
113 for (
int compIdx = 0; compIdx < numComponents-1; compIdx++)
116 const auto xInside = insideVolVars.moleFraction(phaseIdx, compIdx);
118 const auto xOutside = outsideVolVars.moleFraction(phaseIdx, compIdx);
120 moleFracInside[compIdx] = xInside;
121 moleFracOutside[compIdx] = xOutside;
125 if(!(Dune::FloatCmp::eq<Scalar>(insideVolVars.saturation(phaseIdx), 0) || Dune::FloatCmp::eq<Scalar>(outsideVolVars.saturation(phaseIdx), 0)))
127 const auto insideScvIdx = scvf.insideScvIdx();
128 const auto& insideScv = fvGeometry.scv(insideScvIdx);
129 const Scalar omegai = calculateOmega_(scvf,
131 insideVolVars.extrusionFactor());
134 reducedDiffusionMatrixInside = setupMSMatrix_(problem, element, fvGeometry, insideVolVars, insideScv, phaseIdx);
137 if (scvf.boundary() || scvf.numOutsideScvs() > 1)
139 moleFracOutside -= moleFracInside;
140 reducedDiffusionMatrixInside.solve(reducedFlux, moleFracOutside);
141 reducedFlux *= omegai*rhoInside;
146 const auto outsideScvIdx = scvf.outsideScvIdx();
147 const auto& outsideScv = fvGeometry.scv(outsideScvIdx);
149 reducedDiffusionMatrixOutside = setupMSMatrix_(problem, element, fvGeometry, outsideVolVars, outsideScv, phaseIdx);
153 omegaj = -1.0*calculateOmega_(scvf,
155 outsideVolVars.extrusionFactor());
157 omegaj = calculateOmega_(fvGeometry.flipScvf(scvf.index()),
159 outsideVolVars.extrusionFactor());
161 reducedDiffusionMatrixInside.invert();
162 reducedDiffusionMatrixOutside.invert();
163 reducedDiffusionMatrixInside *= omegai*rhoInside;
164 reducedDiffusionMatrixOutside *= omegaj*rhoOutside;
167 ReducedComponentVector helperVector(0.0);
168 ReducedComponentVector gradientVectori(0.0);
169 ReducedComponentVector gradientVectorj(0.0);
171 reducedDiffusionMatrixInside.mv(moleFracInside, gradientVectori);
172 reducedDiffusionMatrixOutside.mv(moleFracOutside, gradientVectorj);
174 auto gradientVectorij = (gradientVectori + gradientVectorj);
177 reducedDiffusionMatrixOutside += reducedDiffusionMatrixInside;
179 reducedDiffusionMatrixOutside.solve(helperVector, gradientVectorij);
182 helperVector -=moleFracInside;
183 reducedDiffusionMatrixInside.mv(helperVector, reducedFlux);
186 reducedFlux *= -Extrusion::area(fvGeometry, scvf);
187 for (
int compIdx = 0; compIdx < numComponents-1; compIdx++)
189 componentFlux[compIdx] = reducedFlux[compIdx];
190 componentFlux[numComponents-1] -=reducedFlux[compIdx];
193 return componentFlux ;