diff --git a/examples/second_example.cpp b/examples/second_example.cpp index 897fdb1..364f9e2 100644 --- a/examples/second_example.cpp +++ b/examples/second_example.cpp @@ -2,6 +2,8 @@ #include #include +#include +#include using namespace std; using namespace tug::diffusion; @@ -10,12 +12,12 @@ using namespace tug::bc; int main(int argc, char *argv[]) { int dim = 2; - int n = 5; - int m = 5; + int n = 20; + int m = 20; - vector alpha(n * m, 1e-1); + vector alpha(n * m, 1); vector field(n * m, 0); - field[0] = 1e-6; + field[0] = 2000; // for (int i = 1; i<20; i++) { // for (int j = 0; j<20; j++ ) { // field[i] = 0; @@ -33,25 +35,55 @@ int main(int argc, char *argv[]) { cout << endl; TugInput input_param; - input_param.setTimestep(1.); + input_param.setTimestep(0.1); input_param.setGridCellN(n, m); input_param.setDomainSize(n, m); BoundaryCondition bc(n, m); + boundary_condition bc_constant; + bc_constant.type = BC_TYPE_CONSTANT; + bc_constant.value = 0; + bc.setSide(BC_SIDE_LEFT, bc_constant); + bc.setSide(BC_SIDE_TOP, bc_constant); + bc.setSide(BC_SIDE_RIGHT, bc_constant); + bc.setSide(BC_SIDE_BOTTOM, bc_constant); input_param.setBoundaryCondition(bc); + // int iterations = 1000; + // for (int t = 0; t < iterations; t++) { + // double result = ADI_2D(input_param, &field[0], &alpha[0]); + + // if (t % 100 == 0) { + // cout << "Iteration " << t << ":" << endl; + // for (int i = 0; i" ] @@ -68,7 +68,7 @@ "source": [ "# initialize environment with start values\n", "C_t = np.zeros((grid_size['x']+2,grid_size['y']+2))\n", - "C_t[2,10] = 2000\n", + "C_t[18,10] = 2000\n", "\n", "\n", "plt.imshow(C_t, vmin=0, vmax=2000)\n", @@ -77,7 +77,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 81, "metadata": {}, "outputs": [], "source": [ @@ -91,13 +91,13 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 84, "metadata": {}, "outputs": [], "source": [ "# simulate one time step\n", "def simulate(C_t): \n", - " C_t1 = np.zeros((grid_size['x'],grid_size['y']))\n", + " C_t1 = np.zeros((grid_size['x']+2,grid_size['y']+2))\n", "\n", " # inner cells\n", " for i in range(1, grid_size['x']-1):\n", @@ -119,7 +119,7 @@ " + 2 * alpha_x[i,0] * bc_left)\n", "\n", " # right\n", - " n = grid_size['x'] - 1 # maximum index in x-direction (columns)\n", + " n = grid_size['x'] # maximum index in x-direction (columns)\n", " for i in range(1, grid_size['y']-1):\n", " C_t1[i,n] = C_t[i,n] \\\n", " + time_step/delta_x**2 * (2 * alpha_x[i,n] * bc_right \n", @@ -134,7 +134,7 @@ " + 2 * alpha_y[0,j] * bc_top)\n", "\n", " # bottom\n", - " m = grid_size['y'] - 1 # maximum index in y-direction (rows)\n", + " m = grid_size['y'] # maximum index in y-direction (rows)\n", " for j in range(1, grid_size['x']-1):\n", " C_t1[m,j] = C_t[m,j] \\\n", " + time_step/delta_y**2 * (2 * alpha_y[m,j] * bc_bottom \n", @@ -147,12 +147,12 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 85, "metadata": {}, "outputs": [ { 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", 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", 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" ] @@ -186,13 +186,13 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "802dbc9c1b5843abaedfa3b0fd4ebbb8", + "model_id": "2855e9596fdf4770b7021cfff78c612d", "version_major": 2, "version_minor": 0 }, @@ -209,7 +209,7 @@ "" ] }, - "execution_count": 44, + "execution_count": 86, "metadata": {}, "output_type": "execute_result" }