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-rw-r--r--cavity2d_with_obstacles.cc115
1 files changed, 115 insertions, 0 deletions
diff --git a/cavity2d_with_obstacles.cc b/cavity2d_with_obstacles.cc
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+++ b/cavity2d_with_obstacles.cc
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+#include <iostream>
+#include <vector>
+#include <string>
+#include <algorithm>
+
+#include "lbm.h"
+#include "boundary_conditions.h"
+#include "box_obstacle.h"
+
+constexpr std::size_t dimX = 120;
+constexpr std::size_t dimY = dimX;
+
+constexpr double uLid = 0.3;
+constexpr double reynolds = 1000;
+
+constexpr double tau = 3 * uLid * (dimX-1) / reynolds + 0.5;
+constexpr double omega = 1. / tau;
+
+DataCellBuffer pop(dimX, dimY);
+FluidBuffer fluid(dimX, dimY);
+
+std::vector<BoxObstacle> obstacles{
+ {20, 20, 40, 40},
+ {50, 20, 70, 40},
+ {80, 20, 100, 40},
+ {20, 50, 40, 70},
+ {50, 50, 70, 70},
+ {80, 50, 100, 70},
+ {20, 80, 40, 100},
+ {50, 80, 70, 100},
+ {80, 80, 100, 100},
+};
+
+void init() {
+ for ( std::size_t x = 0; x < dimX; ++x ) {
+ for ( std::size_t y = 0; y < dimY; ++y ) {
+ fluid.density(x,y) = 1.0;
+ fluid.velocity(x,y) = { 0.0, 0.0 };
+
+ static_cast<Cell&>(pop.curr(x,y)).equilibrize(
+ fluid.density(x,y), fluid.velocity(x,y));
+ static_cast<Cell&>(pop.prev(x,y)).equilibrize(
+ fluid.density(x,y), fluid.velocity(x,y));
+ }
+ }
+}
+
+void computeLbmStep() {
+ pop.swap();
+
+ for ( std::size_t x = 0; x < dimX; ++x ) {
+ for ( std::size_t y = 0; y < dimY; ++y ) {
+ if ( std::all_of(obstacles.cbegin(), obstacles.cend(), [x, y](const auto& o) {
+ return !o.isInside(x, y);
+ }) ) {
+ streamFluidCell(pop, x, y);
+ }
+ }
+ }
+
+ // straight wall cell bounce back
+ for ( std::size_t x = 0; x < dimX; ++x ) {
+ computeZouHeVelocityWallCell(pop, {x, dimY-1}, { 0,-1}, uLid);
+ }
+ for ( std::size_t x = 1; x < dimX-1; ++x ) {
+ computeWallCell(pop, {x, 0}, { 0, 1});
+ }
+ for ( std::size_t y = 1; y < dimY-1; ++y ) {
+ computeWallCell(pop, {0, y}, { 1, 0});
+ computeWallCell(pop, {dimX-1, y}, {-1, 0});
+ }
+
+ // edge wall cell bounce back
+ computeWallCell(pop, {0, 0 }, { 1, 1});
+ computeWallCell(pop, {dimX-1, 0 }, {-1, 1});
+
+ // obstacles
+ for ( const auto& box : obstacles ) {
+ box.applyBoundary(pop);
+ }
+
+ for ( std::size_t x = 0; x < dimX; ++x ) {
+ for ( std::size_t y = 0; y < dimY; ++y ) {
+ Cell& cell = static_cast<Cell&>(pop.curr(x,y));
+ fluid.density(x,y) = cell.sum();
+ fluid.velocity(x,y) = cell.velocity(fluid.density(x,y));
+
+ if ( std::all_of(obstacles.cbegin(), obstacles.cend(), [x, y](const auto& o) {
+ return !o.isInside(x, y);
+ }) ) {
+ collideFluidCell(omega, pop, fluid, x, y);
+ }
+ }
+ }
+}
+
+int main() {
+ init();
+
+ std::cout << "Re: " << reynolds << std::endl;
+ std::cout << "uLid: " << uLid << std::endl;
+ std::cout << "tau: " << tau << std::endl;
+
+ for ( std::size_t t = 0; t <= 6000; ++t ) {
+ computeLbmStep();
+
+ if ( t % 100 == 0 ) {
+ std::cout << ".";
+ std::cout.flush();
+ fluid.writeAsVTK("result/data_t" + std::to_string(t) + ".vtk");
+ }
+ }
+
+ std::cout << std::endl;
+}