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Diffstat (limited to 'src/dynamics/firstOrderLbHelpers2D.h')
-rw-r--r-- | src/dynamics/firstOrderLbHelpers2D.h | 105 |
1 files changed, 105 insertions, 0 deletions
diff --git a/src/dynamics/firstOrderLbHelpers2D.h b/src/dynamics/firstOrderLbHelpers2D.h new file mode 100644 index 0000000..5ec836f --- /dev/null +++ b/src/dynamics/firstOrderLbHelpers2D.h @@ -0,0 +1,105 @@ +/* This file is part of the OpenLB library + * + * Copyright (C) 2006, 2007 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. +*/ + +/** \file + * Efficient 2D specializations for lbHelpersD2Q9.h + */ +#ifndef FIRST_ORDER_LB_HELPERS_2D_H +#define FIRST_ORDER_LB_HELPERS_2D_H + +namespace olb { + +/// Compute Pi tensor efficiently on D2Q9 lattice +namespace neqPiD2Q9 { + +using namespace olb::util::tensorIndices2D; + +template<typename T> +T fromPiToFneq0(const T pi[3]) +{ + return (T)2 * (-(T)1/(T)3*pi[xx] - (T)1/(T)3*pi[yy]); +} + +template<typename T> +T fromPiToFneq1(const T pi[3]) +{ + return (T)1/(T)4 * ((T)1/(T)3*pi[xx] + (T)1/(T)3*pi[yy] - pi[xy]); +} + +template<typename T> +T fromPiToFneq2(const T pi[3]) +{ + return (T)1/(T)2 * ((T)2/(T)3*pi[xx] - (T)1/(T)3*pi[yy]); +} + +template<typename T> +T fromPiToFneq3(const T pi[3]) +{ + return (T)1/(T)4 * ((T)1/(T)3*pi[xx] + (T)1/(T)3*pi[yy] + pi[xy]); +} + +template<typename T> +T fromPiToFneq4(const T pi[3]) +{ + return (T)1/(T)2 * (-(T)1/(T)3*pi[xx] + (T)2/(T)3*pi[yy]); +} + +} // namespace neqPiD2Q9 + +template<typename T> +struct rlbHelpers<T, descriptors::D2Q9<>> { + + static T rlbCollision ( + Cell<T,descriptors::D2Q9<>>& cell, + T rho, const T u[2], const T pi[3], T omega ) + { + typedef lbHelpers<T, descriptors::D2Q9<>> LH; + const T uSqr = u[0]*u[0] + u[1]*u[1]; + + cell[0] = LH::equilibrium(0, rho, u, uSqr) + + ((T)1-omega) * neqPiD2Q9::fromPiToFneq0(pi); + cell[1] = LH::equilibrium(1, rho, u, uSqr) + + ((T)1-omega) * neqPiD2Q9::fromPiToFneq1(pi); + cell[2] = LH::equilibrium(2, rho, u, uSqr) + + ((T)1-omega) * neqPiD2Q9::fromPiToFneq2(pi); + cell[3] = LH::equilibrium(3, rho, u, uSqr) + + ((T)1-omega) * neqPiD2Q9::fromPiToFneq3(pi); + cell[4] = LH::equilibrium(4, rho, u, uSqr) + + ((T)1-omega) * neqPiD2Q9::fromPiToFneq4(pi); + cell[5] = LH::equilibrium(5, rho, u, uSqr) + + ((T)1-omega) * neqPiD2Q9::fromPiToFneq1(pi); + cell[6] = LH::equilibrium(6, rho, u, uSqr) + + ((T)1-omega) * neqPiD2Q9::fromPiToFneq2(pi); + cell[7] = LH::equilibrium(7, rho, u, uSqr) + + ((T)1-omega) * neqPiD2Q9::fromPiToFneq3(pi); + cell[8] = LH::equilibrium(8, rho, u, uSqr) + + ((T)1-omega) * neqPiD2Q9::fromPiToFneq4(pi); + return uSqr; + } + +}; // struct rlbHelpers<D2Q9<>> + +} // namespace olb + + +#endif |