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diff --git a/src/boundary/extendedFiniteDifferenceBoundary2D.hh b/src/boundary/extendedFiniteDifferenceBoundary2D.hh new file mode 100644 index 0000000..70d1276 --- /dev/null +++ b/src/boundary/extendedFiniteDifferenceBoundary2D.hh @@ -0,0 +1,363 @@ +/* This file is part of the OpenLB library + * + * Copyright (C) 2007 Orestis Malaspinas, Jonas Latt + * E-mail contact: info@openlb.net + * The most recent release of OpenLB can be downloaded at + * <http://www.openlb.net/> + * + * This program is free software; you can redistribute it and/or + * modify it under the terms of the GNU General Public License + * as published by the Free Software Foundation; either version 2 + * of the License, or (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public + * License along with this program; if not, write to the Free + * Software Foundation, Inc., 51 Franklin Street, Fifth Floor, + * Boston, MA 02110-1301, USA. +*/ + +#ifndef EXTENDED_FINITE_DIFFERENCE_BOUNDARY_2D_HH +#define EXTENDED_FINITE_DIFFERENCE_BOUNDARY_2D_HH + +#include "extendedFiniteDifferenceBoundary2D.h" +#include "core/finiteDifference2D.h" +#include "core/blockLattice2D.h" +#include "core/util.h" +#include "dynamics/lbHelpers.h" +#include "dynamics/firstOrderLbHelpers.h" +#include "boundaryInstantiator2D.h" + + +namespace olb { + + +/////////// ExtendedStraightFdBoundaryPostProcessor2D /////////////////////////////////// + +template<typename T, typename DESCRIPTOR, int direction, int orientation> +ExtendedStraightFdBoundaryPostProcessor2D<T,DESCRIPTOR,direction,orientation>:: +ExtendedStraightFdBoundaryPostProcessor2D(int x0_, int x1_, int y0_, int y1_) + : x0(x0_), x1(x1_), y0(y0_), y1(y1_) +{ + OLB_PRECONDITION(x0==x1 || y0==y1); +} + +template<typename T, typename DESCRIPTOR, int direction, int orientation> +void ExtendedStraightFdBoundaryPostProcessor2D<T,DESCRIPTOR,direction,orientation>:: +processSubDomain(BlockLattice2D<T,DESCRIPTOR>& blockLattice, int x0_, int x1_, int y0_, int y1_) +{ + using namespace olb::util::tensorIndices2D; + typedef lbHelpers<T,DESCRIPTOR> lbH; + typedef DESCRIPTOR L; + enum {x,y}; + + int newX0, newX1, newY0, newY1; + if ( util::intersect ( + x0, x1, y0, y1, + x0_, x1_, y0_, y1_, + newX0, newX1, newY0, newY1 ) ) { + for (int iX=newX0; iX<=newX1; ++iX) { + for (int iY=newY0; iY<=newY1; ++iY) { + Cell<T,DESCRIPTOR>& cell = blockLattice.get(iX,iY); + T rho, u[L::d]; + cell.computeRhoU(rho,u); + + T uSqr = util::normSqr<T,DESCRIPTOR::d>(u); + + T dx_U[L::d], dy_U[L::d]; + interpolateGradients<0>(blockLattice, dx_U, iX, iY); + interpolateGradients<1>(blockLattice, dy_U, iX, iY); + + T rhoGradU[L::d][L::d]; + rhoGradU[x][x] = rho * dx_U[x]; + rhoGradU[x][y] = rho * dx_U[y]; + rhoGradU[y][x] = rho * dy_U[x]; + rhoGradU[y][y] = rho * dy_U[y]; + + T omega = blockLattice.getDynamics(iX, iY) -> getOmega(); + T sToPi = - (T)1 / descriptors::invCs2<T,DESCRIPTOR>() / omega; + + T pi[util::TensorVal<DESCRIPTOR >::n]; + pi[xx] = (T)2 * rhoGradU[x][x] * sToPi; + pi[yy] = (T)2 * rhoGradU[y][y] * sToPi; + pi[xy] = (rhoGradU[x][y] + rhoGradU[y][x]) * sToPi; + // here ends the "regular" fdBoudaryCondition + // implemented in OpenLB + + // first we compute the term + // (c_{i\alpha} \nabla_\beta)(rho*u_\alpha*u_\beta) + T dx_rho, dy_rho; + interpolateGradients<0>(blockLattice, dx_rho, iX, iY); + interpolateGradients<1>(blockLattice, dy_rho, iX, iY); + for (int iPop = 0; iPop < L::q; ++iPop) { + T cGradRhoUU = T(); + for (int iAlpha=0; iAlpha < L::d; ++iAlpha) { + cGradRhoUU += descriptors::c<L>(iPop,iAlpha) * ( + dx_rho*u[iAlpha]*u[x] + + dx_U[iAlpha]*rho*u[x] + + dx_U[x]*rho*u[iAlpha] + //end of dx derivatice + dy_rho*u[iAlpha]*u[y] + + dy_U[iAlpha]*rho*u[y] + + dy_U[y]*rho*u[iAlpha]); + } + + // then we compute the term + // c_{i\gamma}\nabla_{\gamma}(\rho*u_\alpha * u_\beta) + T cDivRhoUU[L::d][L::d]; //first step towards QcdivRhoUU + for (int iAlpha = 0; iAlpha < L::d; ++iAlpha) { + for (int iBeta = 0; iBeta < L::d; ++iBeta) { + cDivRhoUU[iAlpha][iBeta] = descriptors::c<L>(iPop,x) * + (dx_rho*u[iAlpha]*u[iBeta] + + dx_U[iAlpha]*rho*u[iBeta] + + dx_U[iBeta]*rho*u[iAlpha]) + + descriptors::c<L>(iPop,y) * + (dy_rho*u[iAlpha]*u[iBeta] + + dy_U[iAlpha]*rho*u[iBeta] + + dy_U[iBeta]*rho*u[iAlpha]); + } + } + + //Finally we can compute + // Q_{i\alpha\beta}c_{i\gamma}\nabla_{\gamma}(\rho*u_\alpha * u_\beta) + // and Q_{i\alpha\beta}\rho\nabla_{\alpha}u_\beta + T qCdivRhoUU = T(); + T qRhoGradU = T(); + for (int iAlpha = 0; iAlpha < L::d; ++iAlpha) { + for (int iBeta = 0; iBeta < L::d; ++iBeta) { + int ci_ci = descriptors::c<L>(iPop,iAlpha)*descriptors::c<L>(iPop,iBeta); + qCdivRhoUU += ci_ci * cDivRhoUU[iAlpha][iBeta]; + qRhoGradU += ci_ci * rhoGradU[iAlpha][iBeta]; + if (iAlpha == iBeta) { + qCdivRhoUU -= cDivRhoUU[iAlpha][iBeta]/descriptors::invCs2<T,L>(); + qRhoGradU -= rhoGradU[iAlpha][iBeta]/descriptors::invCs2<T,L>(); + } + } + } + + // we then can reconstruct the value of the populations + // according to the complete C-E expansion term + cell[iPop] = lbH::equilibrium(iPop,rho,u,uSqr) + - descriptors::t<T,L>(iPop) * descriptors::invCs2<T,L>() / omega + * (qRhoGradU - cGradRhoUU + 0.5*descriptors::invCs2<T,L>()*qCdivRhoUU); + } + } + } + } +} + +template<typename T, typename DESCRIPTOR, int direction, int orientation> +void ExtendedStraightFdBoundaryPostProcessor2D<T,DESCRIPTOR,direction,orientation>:: +process(BlockLattice2D<T,DESCRIPTOR>& blockLattice) +{ + processSubDomain(blockLattice, x0, x1, y0, y1); +} + +template<typename T, typename DESCRIPTOR, int direction, int orientation> +template<int deriveDirection> +void ExtendedStraightFdBoundaryPostProcessor2D<T,DESCRIPTOR,direction,orientation>:: +interpolateGradients(BlockLattice2D<T,DESCRIPTOR> const& blockLattice, + T velDeriv[DESCRIPTOR::d], int iX, int iY) const +{ + fd::DirectedGradients2D<T, DESCRIPTOR, direction, orientation, direction==deriveDirection>:: + interpolateVector(velDeriv, blockLattice, iX, iY); +} + +template<typename T, typename DESCRIPTOR, int direction, int orientation> +template<int deriveDirection> +void ExtendedStraightFdBoundaryPostProcessor2D<T,DESCRIPTOR,direction,orientation>:: +interpolateGradients(BlockLattice2D<T,DESCRIPTOR> const& blockLattice, T& rhoDeriv, int iX, int iY) const +{ + fd::DirectedGradients2D<T, DESCRIPTOR, direction, orientation, direction==deriveDirection>:: + interpolateScalar(rhoDeriv, blockLattice, iX, iY); +} + + +//////// ExtendedStraightFdBoundaryPostProcessorGenerator //////////////////////////////// + +template<typename T, typename DESCRIPTOR, int direction, int orientation> +ExtendedStraightFdBoundaryProcessorGenerator2D<T,DESCRIPTOR,direction,orientation>:: +ExtendedStraightFdBoundaryProcessorGenerator2D(int x0_, int x1_, int y0_, int y1_) + : PostProcessorGenerator2D<T,DESCRIPTOR>(x0_, x1_, y0_, y1_) +{ } + +template<typename T, typename DESCRIPTOR, int direction, int orientation> +PostProcessor2D<T,DESCRIPTOR>* +ExtendedStraightFdBoundaryProcessorGenerator2D<T,DESCRIPTOR,direction,orientation>::generate() const +{ + return new ExtendedStraightFdBoundaryPostProcessor2D<T,DESCRIPTOR,direction,orientation> + ( this->x0, this->x1, this->y0, this->y1 ); +} + +template<typename T, typename DESCRIPTOR, int direction, int orientation> +PostProcessorGenerator2D<T,DESCRIPTOR>* +ExtendedStraightFdBoundaryProcessorGenerator2D<T,DESCRIPTOR,direction,orientation>::clone() const +{ + return new ExtendedStraightFdBoundaryProcessorGenerator2D<T,DESCRIPTOR,direction,orientation> + (this->x0, this->x1, this->y0, this->y1); +} + + +////////// Class ExtendedFdBoundaryManager2D ///////////////////////////////////////// + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +class ExtendedFdBoundaryManager2D { +public: + template<int direction, int orientation> static Momenta<T,DESCRIPTOR>* + getVelocityBoundaryMomenta(); + template<int direction, int orientation> static Dynamics<T,DESCRIPTOR>* + getVelocityBoundaryDynamics(T omega, Momenta<T,DESCRIPTOR>& momenta); + template<int direction, int orientation> static PostProcessorGenerator2D<T,DESCRIPTOR>* + getVelocityBoundaryProcessor(int x0, int x1, int y0, int y1); + + template<int direction, int orientation> static Momenta<T,DESCRIPTOR>* + getPressureBoundaryMomenta(); + template<int direction, int orientation> static Dynamics<T,DESCRIPTOR>* + getPressureBoundaryDynamics(T omega, Momenta<T,DESCRIPTOR>& momenta); + template<int direction, int orientation> static PostProcessorGenerator2D<T,DESCRIPTOR>* + getPressureBoundaryProcessor(int x0, int x1, int y0, int y1); + + template<int direction, int orientation> static PostProcessorGenerator2D<T,DESCRIPTOR>* + getConvectionBoundaryProcessor(int x0, int x1, int y0, int y1, T* uAv=NULL); + + template<int xNormal, int yNormal> static Momenta<T,DESCRIPTOR>* + getExternalVelocityCornerMomenta(); + template<int xNormal, int yNormal> static Dynamics<T,DESCRIPTOR>* + getExternalVelocityCornerDynamics(T omega, Momenta<T,DESCRIPTOR>& momenta); + template<int xNormal, int yNormal> static PostProcessorGenerator2D<T,DESCRIPTOR>* + getExternalVelocityCornerProcessor(int x, int y); + + template<int xNormal, int yNormal> static Momenta<T,DESCRIPTOR>* + getInternalVelocityCornerMomenta(); + template<int xNormal, int yNormal> static Dynamics<T,DESCRIPTOR>* + getInternalVelocityCornerDynamics(T omega, Momenta<T,DESCRIPTOR>& momenta); + template<int xNormal, int yNormal> static PostProcessorGenerator2D<T,DESCRIPTOR>* + getInternalVelocityCornerProcessor(int x, int y); +}; + + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int direction, int orientation> +Momenta<T,DESCRIPTOR>* ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>::getVelocityBoundaryMomenta() +{ + return new BasicDirichletBM<T,DESCRIPTOR,VelocityBM,direction,orientation>; +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int direction, int orientation> +Dynamics<T,DESCRIPTOR>* ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>:: +getVelocityBoundaryDynamics(T omega, Momenta<T,DESCRIPTOR>& momenta) +{ + return new MixinDynamics(omega, momenta); +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int direction, int orientation> +PostProcessorGenerator2D<T,DESCRIPTOR>* ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>:: +getVelocityBoundaryProcessor(int x0, int x1, int y0, int y1) +{ + return new ExtendedStraightFdBoundaryProcessorGenerator2D<T,DESCRIPTOR,direction,orientation> + (x0, x1, y0, y1); +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int direction, int orientation> +Momenta<T,DESCRIPTOR>* ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>::getPressureBoundaryMomenta() +{ + return new BasicDirichletBM<T,DESCRIPTOR,PressureBM,direction,orientation>; +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int direction, int orientation> +Dynamics<T,DESCRIPTOR>* ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>:: +getPressureBoundaryDynamics(T omega, Momenta<T,DESCRIPTOR>& momenta) +{ + return new MixinDynamics(omega, momenta); +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int direction, int orientation> +PostProcessorGenerator2D<T,DESCRIPTOR>* +ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>:: +getPressureBoundaryProcessor(int x0, int x1, int y0, int y1) +{ + return new ExtendedStraightFdBoundaryProcessorGenerator2D<T,DESCRIPTOR,direction,orientation> + (x0, x1, y0, y1); +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int direction, int orientation> +PostProcessorGenerator2D<T,DESCRIPTOR>* +ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>:: +getConvectionBoundaryProcessor(int x0, int x1, int y0, int y1, T* uAv) +{ + return nullptr; +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int xNormal, int yNormal> +Momenta<T,DESCRIPTOR>* +ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>::getExternalVelocityCornerMomenta() +{ + return new FixedVelocityBM<T,DESCRIPTOR>; +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int xNormal, int yNormal> +Dynamics<T,DESCRIPTOR>* ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>:: +getExternalVelocityCornerDynamics(T omega, Momenta<T,DESCRIPTOR>& momenta) +{ + return new MixinDynamics(omega, momenta); +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int xNormal, int yNormal> +PostProcessorGenerator2D<T,DESCRIPTOR>* +ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>::getExternalVelocityCornerProcessor(int x, int y) +{ + return new OuterVelocityCornerProcessorGenerator2D<T,DESCRIPTOR, xNormal,yNormal> (x,y); +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int xNormal, int yNormal> +Momenta<T,DESCRIPTOR>* +ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>::getInternalVelocityCornerMomenta() +{ + return new InnerCornerVelBM2D<T,DESCRIPTOR, xNormal,yNormal>; +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int xNormal, int yNormal> +Dynamics<T,DESCRIPTOR>* ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>:: +getInternalVelocityCornerDynamics(T omega, Momenta<T,DESCRIPTOR>& momenta) +{ + return new CombinedRLBdynamics<T,DESCRIPTOR, MixinDynamics>(omega, momenta); +} + +template<typename T, typename DESCRIPTOR, class MixinDynamics> +template<int xNormal, int yNormal> +PostProcessorGenerator2D<T,DESCRIPTOR>* +ExtendedFdBoundaryManager2D<T,DESCRIPTOR,MixinDynamics>::getInternalVelocityCornerProcessor (int x, int y) +{ + return nullptr; +} + + +////////// Factory functions ////////////////////////////////////////////////// + +template<typename T, typename DESCRIPTOR, typename MixinDynamics> +OnLatticeBoundaryCondition2D<T,DESCRIPTOR>* +createExtendedFdBoundaryCondition2D(BlockLatticeStructure2D<T,DESCRIPTOR>& block) +{ + return new BoundaryConditionInstantiator2D < + T, DESCRIPTOR, + ExtendedFdBoundaryManager2D<T,DESCRIPTOR, MixinDynamics> > (block); +} + + +} // namespace olb + +#endif |