#include "../c++/lbm.hpp" #include "../c++/collision.hpp" #include "../c++/boundary.hpp" #include "../c++/iterator.hpp" #include namespace kel { namespace lbm { namespace sch { using namespace saw::schema; /** * Basic distribution function * Base type * D * Q * Scalar factor * D factor * Q factor */ using T = Float32; using D2Q5 = Descriptor<2u,5u>; using D2Q9 = Descriptor<2u,9u>; template using DfCell = Cell; template using CellInfo = Cell; /** * Basic type for simulation */ template using CellStruct = Struct< Member, "dfs">, Member, "dfs_old">, Member, "info"> >; template using MacroStruct = Struct< Member, "velocity">, Member >; template using GeometryStruct = Struct< Member >; using CavityFieldD2Q9 = CellField>; } namespace cmpt { template struct PressureBoundaryRestrictedVelocityTo {}; } /** * This is massively hacky and expects a lot of conditions * Either this or mirrored along the horizontal line works * * 0 - 2 - 2 * 0 - 3 - 1 * 0 - 3 - 1 * ......... * 0 - 3 - 1 * 0 - 2 - 2 * */ template struct component> { private: saw::data pressure_setting_; saw::data rho_setting_; public: component(const saw::data& pressure_setting__): pressure_setting_{pressure_setting__}, rho_setting_{pressure_setting__ * df_info::inv_cs2} {} template void apply(saw::data& field, saw::data> index, uint64_t time_step){ using dfi = df_info; bool is_even = ((time_step % 2) == 0); auto& cell = field(index); auto& info = cell.template get<"info">(); if(info({0u}).get() == 0u){ return; } auto& dfs_old = (is_even) ? cell.template get<"dfs_old">() : cell.template get<"dfs">(); auto& dfs = (not is_even) ? cell.template get<"dfs_old">() : cell.template get<"dfs">(); /** * Sum all known DFs */ saw::data sum_df{0}; for(saw::data k{0u}; k < saw::data{Descriptor::Q}; ++k){ auto c_k = dfi::directions[k.get()]; auto& cell_n = field({{index.at({0u})+c_k[0u], index.at({1u})+c_k[1u]}}); auto& info_n = cell_n.template get<"info">(); auto info_n_val = info_n({0u}); auto k_opp = dfi::opposite_index[k.get()]; if(info_n_val.get() > 0u){ sum_df += dfs_old({k_opp}); } } /** * Get the sum of the unknown dfs and precalculate the direction */ constexpr int known_dir = East ? 1 : -1; auto sum_unknown_dfs = (rho_setting_ - sum_df) * saw::data{known_dir}; for(saw::data k{0u}; k < saw::data{Descriptor::Q}; ++k){ auto c_k = dfi::directions[k.get()]; auto& cell_n = field({{index.at({0u})+c_k[0u], index.at({1u})+c_k[1u]}}); auto& info_n = cell_n.template get<"info">(); auto info_n_val = info_n({0u}); auto k_opp = dfi::opposite_index[k.get()]; if(info_n_val.get() > 0u){ sum_unknown_dfs += dfs_old({k}) * c_k[0u]; } } auto vel_x = sum_unknown_dfs / rho_setting_; if constexpr (East) { dfs_old({2u}) = dfs_old({1u}) + saw::data{2.0 / 3.0} * rho_setting_ * vel_x; dfs_old({6u}) = dfs_old({5u}) + saw::data{1.0 / 6.0} * rho_setting_ * vel_x + saw::data{0.5} * (dfs_old({4u}) - dfs_old({3u})); dfs_old({8u}) = dfs_old({7u}) + saw::data{1.0 / 6.0} * rho_setting_ * vel_x + saw::data{0.5} * (dfs_old({3u}) - dfs_old({4u})); }else if constexpr (not East){ dfs_old({1u}) = dfs_old({2u}) - saw::data{2.0 / 3.0} * rho_setting_ * vel_x; dfs_old({5u}) = dfs_old({6u}) - saw::data{1.0 / 6.0} * rho_setting_ * vel_x + saw::data{0.5} * (dfs_old({3u}) - dfs_old({4u})); dfs_old({7u}) = dfs_old({8u}) - saw::data{1.0 / 6.0} * rho_setting_ * vel_x + saw::data{0.5} * (dfs_old({4u}) - dfs_old({3u})); } } }; } } void set_geometry(saw::data& latt){ using namespace kel::lbm; auto meta = latt.meta(); /** * Set ghost */ iterate_over([&](const saw::data>& index){ auto& cell = latt(index); auto& info = cell.template get<"info">(); info({0u}).set(0u); }, {{0u,0u}}, meta); /** * Set wall */ iterate_over([&](const saw::data>& index){ auto& cell = latt(index); auto& info = cell.template get<"info">(); info({0u}).set(2u); }, {{0u,0u}}, meta, {{1u,1u}}); /** * Set fluid */ iterate_over([&](const saw::data>& index){ auto& cell = latt(index); auto& info = cell.template get<"info">(); info({0u}).set(1u); }, {{0u,0u}}, meta, {{2u,2u}}); /** * Set inflow */ iterate_over([&](const saw::data>& index){ auto& cell = latt(index); auto& info = cell.template get<"info">(); info({0u}).set(3u); }, {{1u,0u}}, {{2u,meta.at({1u})}}, {{0u,2u}}); /** * Set outflow */ iterate_over([&](const saw::data>& index){ auto& cell = latt(index); auto& info = cell.template get<"info">(); info({0u}).set(4u); }, {{meta.at({0u})-2u,0u}}, {{meta.at({0u})-1u, meta.at({1u})}}, {{0u,2u}}); } void set_initial_conditions(saw::data& latt){ using namespace kel::lbm; saw::data rho{1.0}; saw::data> vel{{0.0,0.0}}; auto eq = equilibrium(rho, vel); auto meta = latt.meta(); /** * Set distribution */ iterate_over([&](const saw::data>& index){ auto& cell = latt(index); auto& dfs = cell.template get<"dfs">(); auto& dfs_old = cell.template get<"dfs_old">(); for(saw::data k = 0; k < saw::data{sch::D2Q9::Q}; ++k){ dfs(k) = eq.at(k); dfs_old(k) = eq.at(k); } }, {{0u,0u}}, meta); } void lbm_step( saw::data& latt, uint64_t time_step ){ using namespace kel::lbm; using dfi = df_info; bool even_step = ((time_step % 2u) == 0u); /** * 1. Relaxation parameter \tau */ component coll{0.5384}; component bb; component> inlet{1.01 * dfi::cs2}; component> outlet{1.0 * dfi::cs2}; auto meta = latt.meta(); /** * Collision */ iterate_over([&](const saw::data>& index){ auto& cell = latt(index); auto& info = cell.template get<"info">(); auto& dfs = cell.template get<"dfs">(); auto& dfs_old = cell.template get<"dfs_old">(); switch(info({0u}).get()){ case 1u: { coll.apply(latt, index, time_step); break; } case 2u: { bb.apply(latt, index, time_step); break; } case 3u: { inlet.apply(latt, index, time_step); break; } case 4u: { outlet.apply(latt, index, time_step); break; } default: break; } }, {{0u,0u}}, meta); // Stream iterate_over([&](const saw::data>& index){ auto& cell = latt(index); auto& df_new = even_step ? cell.template get<"dfs">() : cell.template get<"dfs_old">(); auto& info_new = cell.template get<"info">(); if(info_new({0u}).get() > 0u){ for(uint64_t k = 0u; k < sch::D2Q9::Q; ++k){ auto dir = dfi::directions[dfi::opposite_index[k]]; auto& cell_dir_old = latt({{index.at({0u})+dir[0],index.at({1u})+dir[1]}}); auto& df_old = even_step ? cell_dir_old.template get<"dfs_old">() : cell_dir_old.template get<"dfs">(); df_new({k}) = df_old({k}); } } }, {{0u,0u}}, meta); } int main(int argc, char** argv){ using namespace kel::lbm; using dfi = df_info; auto eo_lbm_dir = output_directory(); if(eo_lbm_dir.is_error()){ return -1; } auto& lbm_dir = eo_lbm_dir.get_value(); auto out_dir = lbm_dir / "poiseulle_particles_channel_2d"; std::string_view cfg_file_name = "config.json"; if(argc > 1){ cfg_file_name = argv[1]; } auto eo_conf = load_lbm_config>(cfg_file_name); if(eo_conf.is_error()){ auto& err = eo_conf.get_error(); std::cerr<<"[Error]: "< conv { {conf.template get<"delta_x">()}, {conf.template get<"delta_t">()} }; print_lbm_meta>(conv, {conf.template get<"kinematic_viscosity">()}); saw::data> dim{{1024u, 128u}}; saw::data lattice{dim}; auto meta = lattice.meta(); /** * Setup geometry */ set_geometry(lattice); { saw::data, sch::D2Q9::D>> geo{dim}; iterate_over([&](const saw::data>& index){ auto& cell = lattice(index); auto& info = cell.template get<"info">(); geo(index).template get<"info">().set(info({0u}).get()); }, {{0u,0u}}, dim); std::string vtk_f_name{"tmp/geometry.vtk"}; write_vtk_file(vtk_f_name, geo); } /** * Setup DFs */ set_initial_conditions(lattice); saw::data,sch::D2Q9::D>> macros{dim}; for(uint64_t i = 0u; i < 4096u*16u; ++i){ bool even_step = ((i % 2u) == 0u); { // Stream iterate_over([&](const saw::data>& index){ auto& cell = lattice(index); auto& dfs = even_step ? cell.template get<"dfs">() : cell.template get<"dfs_old">(); auto& rho = macros.at(index).template get<"pressure">(); auto& vel = macros.at(index).template get<"velocity">(); compute_rho_u(dfs,rho,vel); rho = rho * saw::data{dfi::cs2}; }, {{0u,0u}}, meta); std::string vtk_f_name{"poiseulle_2d_"}; vtk_f_name += std::to_string(i) + ".vtk"; write_vtk_file(out_dir / vtk_f_name, macros); } lbm_step(lattice, i); } return 0; }