/* 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
*
*
* 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
ExtendedStraightFdBoundaryPostProcessor2D::
ExtendedStraightFdBoundaryPostProcessor2D(int x0_, int x1_, int y0_, int y1_)
: x0(x0_), x1(x1_), y0(y0_), y1(y1_)
{
OLB_PRECONDITION(x0==x1 || y0==y1);
}
template
void ExtendedStraightFdBoundaryPostProcessor2D::
processSubDomain(BlockLattice2D& blockLattice, int x0_, int x1_, int y0_, int y1_)
{
using namespace olb::util::tensorIndices2D;
typedef lbHelpers 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& cell = blockLattice.get(iX,iY);
T rho, u[L::d];
cell.computeRhoU(rho,u);
T uSqr = util::normSqr(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() / omega;
T pi[util::TensorVal::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(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(iPop,x) *
(dx_rho*u[iAlpha]*u[iBeta] +
dx_U[iAlpha]*rho*u[iBeta] +
dx_U[iBeta]*rho*u[iAlpha])
+ descriptors::c(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(iPop,iAlpha)*descriptors::c(iPop,iBeta);
qCdivRhoUU += ci_ci * cDivRhoUU[iAlpha][iBeta];
qRhoGradU += ci_ci * rhoGradU[iAlpha][iBeta];
if (iAlpha == iBeta) {
qCdivRhoUU -= cDivRhoUU[iAlpha][iBeta]/descriptors::invCs2();
qRhoGradU -= rhoGradU[iAlpha][iBeta]/descriptors::invCs2();
}
}
}
// 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(iPop) * descriptors::invCs2() / omega
* (qRhoGradU - cGradRhoUU + 0.5*descriptors::invCs2()*qCdivRhoUU);
}
}
}
}
}
template
void ExtendedStraightFdBoundaryPostProcessor2D::
process(BlockLattice2D& blockLattice)
{
processSubDomain(blockLattice, x0, x1, y0, y1);
}
template
template
void ExtendedStraightFdBoundaryPostProcessor2D::
interpolateGradients(BlockLattice2D const& blockLattice,
T velDeriv[DESCRIPTOR::d], int iX, int iY) const
{
fd::DirectedGradients2D::
interpolateVector(velDeriv, blockLattice, iX, iY);
}
template
template
void ExtendedStraightFdBoundaryPostProcessor2D::
interpolateGradients(BlockLattice2D const& blockLattice, T& rhoDeriv, int iX, int iY) const
{
fd::DirectedGradients2D::
interpolateScalar(rhoDeriv, blockLattice, iX, iY);
}
//////// ExtendedStraightFdBoundaryPostProcessorGenerator ////////////////////////////////
template
ExtendedStraightFdBoundaryProcessorGenerator2D::
ExtendedStraightFdBoundaryProcessorGenerator2D(int x0_, int x1_, int y0_, int y1_)
: PostProcessorGenerator2D(x0_, x1_, y0_, y1_)
{ }
template
PostProcessor2D*
ExtendedStraightFdBoundaryProcessorGenerator2D::generate() const
{
return new ExtendedStraightFdBoundaryPostProcessor2D
( this->x0, this->x1, this->y0, this->y1 );
}
template
PostProcessorGenerator2D*
ExtendedStraightFdBoundaryProcessorGenerator2D::clone() const
{
return new ExtendedStraightFdBoundaryProcessorGenerator2D
(this->x0, this->x1, this->y0, this->y1);
}
////////// Class ExtendedFdBoundaryManager2D /////////////////////////////////////////
template
class ExtendedFdBoundaryManager2D {
public:
template static Momenta*
getVelocityBoundaryMomenta();
template static Dynamics*
getVelocityBoundaryDynamics(T omega, Momenta& momenta);
template static PostProcessorGenerator2D*
getVelocityBoundaryProcessor(int x0, int x1, int y0, int y1);
template static Momenta*
getPressureBoundaryMomenta();
template static Dynamics*
getPressureBoundaryDynamics(T omega, Momenta& momenta);
template static PostProcessorGenerator2D*
getPressureBoundaryProcessor(int x0, int x1, int y0, int y1);
template static PostProcessorGenerator2D*
getConvectionBoundaryProcessor(int x0, int x1, int y0, int y1, T* uAv=NULL);
template static Momenta*
getExternalVelocityCornerMomenta();
template static Dynamics*
getExternalVelocityCornerDynamics(T omega, Momenta& momenta);
template static PostProcessorGenerator2D*
getExternalVelocityCornerProcessor(int x, int y);
template static Momenta*
getInternalVelocityCornerMomenta();
template static Dynamics*
getInternalVelocityCornerDynamics(T omega, Momenta& momenta);
template static PostProcessorGenerator2D*
getInternalVelocityCornerProcessor(int x, int y);
};
template
template
Momenta* ExtendedFdBoundaryManager2D::getVelocityBoundaryMomenta()
{
return new BasicDirichletBM;
}
template
template
Dynamics* ExtendedFdBoundaryManager2D::
getVelocityBoundaryDynamics(T omega, Momenta& momenta)
{
return new MixinDynamics(omega, momenta);
}
template
template
PostProcessorGenerator2D* ExtendedFdBoundaryManager2D::
getVelocityBoundaryProcessor(int x0, int x1, int y0, int y1)
{
return new ExtendedStraightFdBoundaryProcessorGenerator2D
(x0, x1, y0, y1);
}
template
template
Momenta* ExtendedFdBoundaryManager2D::getPressureBoundaryMomenta()
{
return new BasicDirichletBM;
}
template
template
Dynamics* ExtendedFdBoundaryManager2D::
getPressureBoundaryDynamics(T omega, Momenta& momenta)
{
return new MixinDynamics(omega, momenta);
}
template
template
PostProcessorGenerator2D*
ExtendedFdBoundaryManager2D::
getPressureBoundaryProcessor(int x0, int x1, int y0, int y1)
{
return new ExtendedStraightFdBoundaryProcessorGenerator2D
(x0, x1, y0, y1);
}
template
template
PostProcessorGenerator2D*
ExtendedFdBoundaryManager2D::
getConvectionBoundaryProcessor(int x0, int x1, int y0, int y1, T* uAv)
{
return nullptr;
}
template
template
Momenta*
ExtendedFdBoundaryManager2D::getExternalVelocityCornerMomenta()
{
return new FixedVelocityBM;
}
template
template
Dynamics* ExtendedFdBoundaryManager2D::
getExternalVelocityCornerDynamics(T omega, Momenta& momenta)
{
return new MixinDynamics(omega, momenta);
}
template
template
PostProcessorGenerator2D*
ExtendedFdBoundaryManager2D::getExternalVelocityCornerProcessor(int x, int y)
{
return new OuterVelocityCornerProcessorGenerator2D (x,y);
}
template
template
Momenta*
ExtendedFdBoundaryManager2D::getInternalVelocityCornerMomenta()
{
return new InnerCornerVelBM2D;
}
template
template
Dynamics* ExtendedFdBoundaryManager2D::
getInternalVelocityCornerDynamics(T omega, Momenta& momenta)
{
return new CombinedRLBdynamics(omega, momenta);
}
template
template
PostProcessorGenerator2D*
ExtendedFdBoundaryManager2D::getInternalVelocityCornerProcessor (int x, int y)
{
return nullptr;
}
////////// Factory functions //////////////////////////////////////////////////
template
OnLatticeBoundaryCondition2D*
createExtendedFdBoundaryCondition2D(BlockLatticeStructure2D& block)
{
return new BoundaryConditionInstantiator2D <
T, DESCRIPTOR,
ExtendedFdBoundaryManager2D > (block);
}
} // namespace olb
#endif