87 static CellCenterPrimaryVariables
flux(
const Problem& problem,
88 const Element& element,
89 const FVElementGeometry& fvGeometry,
90 const ElementVolumeVariables& elemVolVars,
91 const SubControlVolumeFace& scvf)
95 CellCenterPrimaryVariables componentFlux(0.0);
96 ReducedComponentVector moleFracInside(0.0);
97 ReducedComponentVector moleFracOutside(0.0);
98 ReducedComponentVector reducedFlux(0.0);
99 ReducedComponentMatrix reducedDiffusionMatrixInside(0.0);
100 ReducedComponentMatrix reducedDiffusionMatrixOutside(0.0);
103 const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()];
104 const auto& outsideVolVars = elemVolVars[scvf.outsideScvIdx()];
105 const auto rhoInside = insideVolVars.density();
106 const auto rhoOutside = outsideVolVars.density();
109 for(
int compIdx = 0; compIdx < numComponents; ++compIdx)
111 if(compIdx == FluidSystem::getMainComponent(0))
115 const auto eqIdx = Indices::conti0EqIdx + compIdx;
118 const auto bcTypes = problem.boundaryTypes(element, scvf);
119 if((bcTypes.isOutflow(eqIdx)) || (bcTypes.isSymmetry()))
120 return componentFlux;
125 for (
int compIdx = 0; compIdx < numComponents-1; compIdx++)
128 const auto xInside = insideVolVars.moleFraction(compIdx);
130 const auto xOutside = outsideVolVars.moleFraction(compIdx);
132 moleFracInside[compIdx] = xInside;
133 moleFracOutside[compIdx] = xOutside;
137 reducedDiffusionMatrixInside = setupMSMatrix_(problem, fvGeometry, insideVolVars, scvf);
139 reducedDiffusionMatrixOutside = setupMSMatrix_(problem, fvGeometry, outsideVolVars, scvf);
141 const auto insideScvIdx = scvf.insideScvIdx();
142 const auto& insideScv = fvGeometry.scv(insideScvIdx);
143 const auto outsideScvIdx = scvf.outsideScvIdx();
144 const auto& outsideScv = fvGeometry.scv(outsideScvIdx);
146 const Scalar insideDistance = (insideScv.dofPosition() - scvf.ipGlobal()).two_norm();
148 const Scalar omegai = calculateOmega_(insideDistance, insideVolVars.extrusionFactor());
153 moleFracOutside -= moleFracInside;
154 reducedDiffusionMatrixInside.solve(reducedFlux, moleFracOutside);
155 reducedFlux *= omegai*rhoInside;
159 const Scalar outsideDistance = (outsideScv.dofPosition() - scvf.ipGlobal()).two_norm();
160 const Scalar omegaj = calculateOmega_(outsideDistance, outsideVolVars.extrusionFactor());
162 reducedDiffusionMatrixInside.invert();
163 reducedDiffusionMatrixOutside.invert();
164 reducedDiffusionMatrixInside *= omegai*rhoInside;
165 reducedDiffusionMatrixOutside *= omegaj*rhoOutside;
168 ReducedComponentVector helperVector(0.0);
169 ReducedComponentVector gradientVectori(0.0);
170 ReducedComponentVector gradientVectorj(0.0);
172 reducedDiffusionMatrixInside.mv(moleFracInside, gradientVectori);
173 reducedDiffusionMatrixOutside.mv(moleFracOutside, gradientVectorj);
175 auto gradientVectorij = (gradientVectori + gradientVectorj);
178 reducedDiffusionMatrixOutside += reducedDiffusionMatrixInside;
180 reducedDiffusionMatrixOutside.solve(helperVector, gradientVectorij);
183 helperVector -=moleFracInside;
184 reducedDiffusionMatrixInside.mv(helperVector, reducedFlux);
187 reducedFlux *= -Extrusion::area(fvGeometry, scvf);
189 for (
int compIdx = 0; compIdx < numComponents-1; compIdx++)
191 componentFlux[compIdx] = reducedFlux[compIdx];
192 componentFlux[numComponents-1] -= reducedFlux[compIdx];
195 return componentFlux ;