From 18abb0fd0ec58c6ee46df0bec8ac3897ba6a6b97 Mon Sep 17 00:00:00 2001 From: philippun Date: Wed, 9 Aug 2023 15:48:33 +0200 Subject: [PATCH] working BTCS prototype --- proto/BTCS.ipynb | 160220 +------------------------------------------- proto/FTCS.ipynb | 50 +- 2 files changed, 146 insertions(+), 160124 deletions(-) diff --git a/proto/BTCS.ipynb b/proto/BTCS.ipynb index 1843d9c..4a83177 100644 --- a/proto/BTCS.ipynb +++ b/proto/BTCS.ipynb @@ -94,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": 165, + "execution_count": 177, "metadata": {}, "outputs": [], "source": [ @@ -178,13 +178,13 @@ "\n", " # first column (additional fixed concentration change from perpendicular dimension)\n", " i = 0\n", - " sv[0] += s_x * alpha_x[row_index,0] * bc_left # alpha_x[row_index,0]?\n", - " # sv[0] += 2 * s_x * alpha_x[row_index,0] * bc_left # alpha_x[row_index,0]?\n", + " # sv[0] += s_x * alpha_x[row_index,0] * bc_left # alpha_x[row_index,0]?\n", + " sv[0] += 2 * s_x * alpha_x[row_index,0] * bc_left # alpha_x[row_index,0]?\n", "\n", " # last column (additional fixed concentration change from perpendicular direction)\n", " n = sv.shape[0]-1\n", - " sv[n] += s_x * alpha_x[row_index,n] * bc_right\n", - " # sv[n] += 2 * s_x * alpha_x[row_index,n] * bc_right\n", + " # sv[n] += s_x * alpha_x[row_index,n] * bc_right\n", + " sv[n] += 2 * s_x * alpha_x[row_index,n] * bc_right\n", "\n", "\n", " return sv\n", @@ -228,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": 170, + "execution_count": 175, "metadata": {}, "outputs": [ { @@ -160298,160108 +160298,108 @@ " 0. 0. 0. 0. 0. -0.05 1.1 -0.05]\n", " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. -0.05 1.15]]\n", - "[[ 1.15 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [-0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 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0. 0. -0.05 1.1 -0.05 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1\n", - " -0.05 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05\n", - " 1.1 -0.05 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " -0.05 1.1 -0.05 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. -0.05 1.1 -0.05 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. -0.05 1.1 -0.05 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. -0.05 1.1 -0.05 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. -0.05 1.1 -0.05 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. -0.05 1.1 -0.05]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. -0.05 1.15]]\n", - "[[ 1.15 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [-0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1\n", - " -0.05 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05\n", - " 1.1 -0.05 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " -0.05 1.1 -0.05 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. -0.05 1.1 -0.05 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. -0.05 1.1 -0.05 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. -0.05 1.1 -0.05 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. -0.05 1.1 -0.05 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. -0.05 1.1 -0.05]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. -0.05 1.15]]\n", - "[[ 1.15 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [-0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1\n", - " -0.05 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05\n", - " 1.1 -0.05 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " -0.05 1.1 -0.05 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. -0.05 1.1 -0.05 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. -0.05 1.1 -0.05 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. -0.05 1.1 -0.05 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. -0.05 1.1 -0.05 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. -0.05 1.1 -0.05]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. -0.05 1.15]]\n", - "[[ 1.15 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [-0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1\n", - " -0.05 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05\n", - " 1.1 -0.05 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " -0.05 1.1 -0.05 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. -0.05 1.1 -0.05 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. -0.05 1.1 -0.05 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. -0.05 1.1 -0.05 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. -0.05 1.1 -0.05 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. -0.05 1.1 -0.05]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. -0.05 1.15]]\n", - "[[ 1.15 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [-0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1\n", - " -0.05 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05\n", - " 1.1 -0.05 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " -0.05 1.1 -0.05 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. -0.05 1.1 -0.05 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. -0.05 1.1 -0.05 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. -0.05 1.1 -0.05 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. -0.05 1.1 -0.05 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. -0.05 1.1 -0.05]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. -0.05 1.15]]\n", - "[[ 1.15 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [-0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1 -0.05\n", - " 0. 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05 1.1\n", - " -0.05 0. 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. -0.05\n", - " 1.1 -0.05 0. 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " -0.05 1.1 -0.05 0. 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. -0.05 1.1 -0.05 0. 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. -0.05 1.1 -0.05 0. 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. -0.05 1.1 -0.05 0. 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. -0.05 1.1 -0.05 0. ]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. -0.05 1.1 -0.05]\n", - " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. -0.05 1.15]]\n", "\n", - "Test Concentrations t=t+200:\n", - "[[4.21083073e-03 9.95242560e-03 1.50613714e-02 1.91002607e-02\n", - " 2.18607952e-02 2.32761252e-02 2.34141813e-02 2.24526730e-02\n", - " 2.06421925e-02 1.82651682e-02 1.55979056e-02 1.28810514e-02\n", - " 1.03012003e-02 7.98376821e-03 5.99524143e-03 4.35177115e-03\n", - " 3.03083742e-03 1.98315903e-03 1.14289671e-03 4.46079141e-04]\n", - " [1.02012362e-02 2.41109299e-02 3.64879563e-02 4.62726441e-02\n", - " 5.29603660e-02 5.63891706e-02 5.67236278e-02 5.43942599e-02\n", - " 5.00081565e-02 4.42495335e-02 3.77877739e-02 3.12058728e-02\n", - " 2.49558778e-02 1.93416242e-02 1.45241825e-02 1.05426811e-02\n", - " 7.34256267e-03 4.80443766e-03 2.76880267e-03 1.08067956e-03]\n", - " [1.54379057e-02 3.64879563e-02 5.52185651e-02 7.00260927e-02\n", - " 8.01468681e-02 8.53358040e-02 8.58419503e-02 8.23168323e-02\n", - " 7.56791808e-02 6.69644451e-02 5.71856269e-02 4.72249940e-02\n", - " 3.77666470e-02 2.92703907e-02 2.19799791e-02 1.59546267e-02\n", - " 1.11117699e-02 7.27073206e-03 4.19013082e-03 1.63543209e-03]\n", - " [1.95777672e-02 4.62726441e-02 7.00260927e-02 8.88044383e-02\n", - " 1.01639222e-01 1.08219634e-01 1.08861510e-01 1.04391089e-01\n", - " 9.59734706e-02 8.49217729e-02 7.25206460e-02 5.98889487e-02\n", - " 4.78942312e-02 3.71196007e-02 2.78741770e-02 2.02330533e-02\n", - " 1.40915257e-02 9.22046700e-03 5.31376519e-03 2.07399303e-03]\n", - " [2.24073151e-02 5.29603660e-02 8.01468681e-02 1.01639222e-01\n", - " 1.16329000e-01 1.23860470e-01 1.24595115e-01 1.19478590e-01\n", - " 1.09844385e-01 9.71954005e-02 8.30019557e-02 6.85446165e-02\n", - " 5.48163189e-02 4.24844458e-02 3.19027937e-02 2.31573088e-02\n", - " 1.61281546e-02 1.05530885e-02 6.08175641e-03 2.37374440e-03]\n", - " [2.38580284e-02 5.63891706e-02 8.53358040e-02 1.08219634e-01\n", - " 1.23860470e-01 1.31879549e-01 1.32661757e-01 1.27213973e-01\n", - " 1.16956023e-01 1.03488107e-01 8.83757381e-02 7.29823897e-02\n", - " 5.83652832e-02 4.52350096e-02 3.39682712e-02 2.46565788e-02\n", - " 1.71723372e-02 1.12363254e-02 6.47550660e-03 2.52742736e-03]\n", - " [2.39995358e-02 5.67236278e-02 8.58419503e-02 1.08861510e-01\n", - " 1.24595115e-01 1.32661757e-01 1.33448604e-01 1.27968509e-01\n", - " 1.17649716e-01 1.04101919e-01 8.88999150e-02 7.34152651e-02\n", - " 5.87114611e-02 4.55033088e-02 3.41697448e-02 2.48028226e-02\n", - " 1.72741903e-02 1.13029707e-02 6.51391432e-03 2.54241812e-03]\n", - " [2.30139898e-02 5.43942599e-02 8.23168323e-02 1.04391089e-01\n", - " 1.19478590e-01 1.27213973e-01 1.27968509e-01 1.22713455e-01\n", - " 1.12818405e-01 9.98269512e-02 8.52492210e-02 7.04004515e-02\n", - " 5.63004624e-02 4.36347058e-02 3.27665569e-02 2.37842894e-02\n", - " 1.65648220e-02 1.08388117e-02 6.24641903e-03 2.43801317e-03]\n", - " [2.11582473e-02 5.00081565e-02 7.56791808e-02 9.59734706e-02\n", - " 1.09844385e-01 1.16956023e-01 1.17649716e-01 1.12818405e-01\n", - " 1.03721247e-01 9.17773641e-02 7.83751152e-02 6.47236823e-02\n", - " 5.17606516e-02 4.01162034e-02 3.01244122e-02 2.18664335e-02\n", - " 1.52291108e-02 9.96481973e-03 5.74273648e-03 2.24142298e-03]\n", - " [1.87217974e-02 4.42495335e-02 6.69644451e-02 8.49217729e-02\n", - " 9.71954005e-02 1.03488107e-01 1.04101919e-01 9.98269512e-02\n", - " 9.17773641e-02 8.12088634e-02 6.93499327e-02 5.72705125e-02\n", - " 4.58002224e-02 3.54966752e-02 2.66554755e-02 1.93484333e-02\n", - " 1.34754227e-02 8.81733412e-03 5.08143927e-03 1.98331489e-03]\n", - " [1.59878532e-02 3.77877739e-02 5.71856269e-02 7.25206460e-02\n", - " 8.30019557e-02 8.83757381e-02 8.88999150e-02 8.52492210e-02\n", - " 7.83751152e-02 6.93499327e-02 5.92227617e-02 4.89072993e-02\n", - " 3.91120157e-02 3.03130955e-02 2.27629763e-02 1.65229815e-02\n", - " 1.15076067e-02 7.52973878e-03 4.33939667e-03 1.69369141e-03]\n", - " [1.32030777e-02 3.12058728e-02 4.72249940e-02 5.98889487e-02\n", - " 6.85446165e-02 7.29823897e-02 7.34152651e-02 7.04004515e-02\n", - " 6.47236823e-02 5.72705125e-02 4.89072993e-02 4.03885914e-02\n", - " 3.22994572e-02 2.50331392e-02 1.87981050e-02 1.36449969e-02\n", - " 9.50320362e-03 6.21820357e-03 3.58355750e-03 1.39868304e-03]\n", - " [1.05587303e-02 2.49558778e-02 3.77666470e-02 4.78942312e-02\n", - " 5.48163189e-02 5.83652832e-02 5.87114611e-02 5.63004624e-02\n", - " 5.17606516e-02 4.58002224e-02 3.91120157e-02 3.22994572e-02\n", - " 2.58304363e-02 2.00194357e-02 1.50331707e-02 1.09121408e-02\n", - " 7.59987680e-03 4.97280527e-03 2.86583310e-03 1.11855110e-03]\n", - " [8.18336241e-03 1.93416242e-02 2.92703907e-02 3.71196007e-02\n", - " 4.24844458e-02 4.52350096e-02 4.55033088e-02 4.36347058e-02\n", - " 4.01162034e-02 3.54966752e-02 3.03130955e-02 2.50331392e-02\n", - " 2.00194357e-02 1.55157195e-02 1.16512006e-02 8.45726716e-03\n", - " 5.89015389e-03 3.85408725e-03 2.22111469e-03 8.66913801e-04]\n", - " [6.14512246e-03 1.45241825e-02 2.19799791e-02 2.78741770e-02\n", - " 3.19027937e-02 3.39682712e-02 3.41697448e-02 3.27665569e-02\n", - " 3.01244122e-02 2.66554755e-02 2.27629763e-02 1.87981050e-02\n", - " 1.50331707e-02 1.16512006e-02 8.74922198e-03 6.35080542e-03\n", - " 4.42308616e-03 2.89414509e-03 1.66789897e-03 6.50990535e-04]\n", - " [4.46056543e-03 1.05426811e-02 1.59546267e-02 2.02330533e-02\n", - " 2.31573088e-02 2.46565788e-02 2.48028226e-02 2.37842894e-02\n", - " 2.18664335e-02 1.93484333e-02 1.65229815e-02 1.36449969e-02\n", - " 1.09121408e-02 8.45726716e-03 6.35080542e-03 4.60986470e-03\n", - " 3.21058942e-03 2.10077563e-03 1.21067929e-03 4.72535070e-04]\n", - " [3.10660835e-03 7.34256267e-03 1.11117699e-02 1.40915257e-02\n", - " 1.61281546e-02 1.71723372e-02 1.72741903e-02 1.65648220e-02\n", - " 1.52291108e-02 1.34754227e-02 1.15076067e-02 9.50320362e-03\n", - " 7.59987680e-03 5.89015389e-03 4.42308616e-03 3.21058942e-03\n", - " 2.23604924e-03 1.46310759e-03 8.43190500e-04 3.29102088e-04]\n", - " [2.03273800e-03 4.80443766e-03 7.27073206e-03 9.22046700e-03\n", - " 1.05530885e-02 1.12363254e-02 1.13029707e-02 1.08388117e-02\n", - " 9.96481973e-03 8.81733412e-03 7.52973878e-03 6.21820357e-03\n", - " 4.97280527e-03 3.85408725e-03 2.89414509e-03 2.10077563e-03\n", - " 1.46310759e-03 9.57350932e-04 5.51722386e-04 2.15340412e-04]\n", - " [1.17146913e-03 2.76880267e-03 4.19013082e-03 5.31376519e-03\n", - " 6.08175641e-03 6.47550660e-03 6.51391432e-03 6.24641903e-03\n", - " 5.74273648e-03 5.08143927e-03 4.33939667e-03 3.58355750e-03\n", - " 2.86583310e-03 2.22111469e-03 1.66789897e-03 1.21067929e-03\n", - " 8.43190500e-04 5.51722386e-04 3.17958213e-04 1.24100914e-04]\n", - " [4.46079141e-04 1.05432152e-03 1.59554350e-03 2.02340783e-03\n", - " 2.31584820e-03 2.46578279e-03 2.48040792e-03 2.37854944e-03\n", - " 2.18675413e-03 1.93494136e-03 1.65238186e-03 1.36456882e-03\n", - " 1.09126936e-03 8.45769562e-04 6.35112717e-04 4.61009825e-04\n", - " 3.21075208e-04 2.10088206e-04 1.21074063e-04 4.72559010e-05]]\n" + "Test Concentrations t=t+100:\n", + "[[3.43648430e-02 7.85934573e-02 1.12243718e-01 1.30914640e-01\n", + " 1.34337928e-01 1.25075819e-01 1.07370352e-01 8.58093558e-02\n", + " 6.42597404e-02 4.53045490e-02 3.01804870e-02 1.90537932e-02\n", + " 1.14287566e-02 6.52723745e-03 3.55638807e-03 1.85152580e-03\n", + " 9.21618273e-04 4.36724151e-04 1.90738537e-04 6.17906393e-05]\n", + " [8.05582937e-02 1.84239306e-01 2.63122471e-01 3.06890970e-01\n", + " 3.14915866e-01 2.93203567e-01 2.51698295e-01 2.01154863e-01\n", + " 1.50638111e-01 1.06203225e-01 7.07492985e-02 4.46660287e-02\n", + " 2.67913672e-02 1.53011935e-02 8.33690859e-03 4.34035910e-03\n", + " 2.16046369e-03 1.02377166e-03 4.47130547e-04 1.44850028e-04]\n", + " [1.15049811e-01 2.63122471e-01 3.75779936e-01 4.38288181e-01\n", + " 4.49748984e-01 4.18740435e-01 3.59464431e-01 2.87280526e-01\n", + " 2.15134723e-01 1.51674774e-01 1.01041035e-01 6.37900571e-02\n", + " 3.82622519e-02 2.18524913e-02 1.19064061e-02 6.19870991e-03\n", + " 3.08547919e-03 1.46210565e-03 6.38572176e-04 2.06868437e-04]\n", + " [1.34187506e-01 3.06890970e-01 4.38288181e-01 5.11194216e-01\n", + " 5.24561440e-01 4.88394845e-01 4.19258711e-01 3.35067541e-01\n", + " 2.50920811e-01 1.76904763e-01 1.17848473e-01 7.44010667e-02\n", + " 4.46268978e-02 2.54874935e-02 1.38869497e-02 7.22981998e-03\n", + " 3.59872610e-03 1.70531623e-03 7.44793989e-04 2.41279489e-04]\n", + " [1.37696377e-01 3.14915866e-01 4.49748984e-01 5.24561440e-01\n", + " 5.38278204e-01 5.01165888e-01 4.30221912e-01 3.43829226e-01\n", + " 2.57482143e-01 1.81530648e-01 1.20930094e-01 7.63465812e-02\n", + " 4.57938471e-02 2.61539663e-02 1.42500797e-02 7.41887263e-03\n", + " 3.69282923e-03 1.74990857e-03 7.64269616e-04 2.47588709e-04]\n", + " [1.28202714e-01 2.93203567e-01 4.18740435e-01 4.88394845e-01\n", + " 5.01165888e-01 4.66612331e-01 4.00559683e-01 3.20123457e-01\n", + " 2.39729690e-01 1.69014773e-01 1.12592406e-01 7.10827633e-02\n", + " 4.26365286e-02 2.43507459e-02 1.32675887e-02 6.90736847e-03\n", + " 3.43822214e-03 1.62925876e-03 7.11576019e-04 2.30518372e-04]\n", + " [1.10054611e-01 2.51698295e-01 3.59464431e-01 4.19258711e-01\n", + " 4.30221912e-01 4.00559683e-01 3.43857307e-01 2.74807462e-01\n", + " 2.05794065e-01 1.45089402e-01 9.66540648e-02 6.10204387e-02\n", + " 3.66009924e-02 2.09037061e-02 1.13894571e-02 5.92957610e-03\n", + " 2.95151474e-03 1.39862436e-03 6.10846833e-04 1.97886683e-04]\n", + " [8.79545897e-02 2.01154863e-01 2.87280526e-01 3.35067541e-01\n", + " 3.43829226e-01 3.20123457e-01 2.74807462e-01 2.19623488e-01\n", + " 1.64468643e-01 1.15954059e-01 7.72450015e-02 4.87669494e-02\n", + " 2.92511621e-02 1.67060415e-02 9.10234491e-03 4.73886035e-03\n", + " 2.35882227e-03 1.11776718e-03 4.88182930e-04 1.58149139e-04]\n", + " [6.58662339e-02 1.50638111e-01 2.15134723e-01 2.50920811e-01\n", + " 2.57482143e-01 2.39729690e-01 2.05794065e-01 1.64468643e-01\n", + " 1.23165035e-01 8.68340943e-02 5.78461835e-02 3.65199281e-02\n", + " 2.19052115e-02 1.25105925e-02 6.81643995e-03 3.54877312e-03\n", + " 1.76644266e-03 8.37058243e-04 3.65583777e-04 1.18432571e-04]\n", + " [4.64371627e-02 1.06203225e-01 1.51674774e-01 1.76904763e-01\n", + " 1.81530648e-01 1.69014773e-01 1.45089402e-01 1.15954059e-01\n", + " 8.68340943e-02 6.12199715e-02 4.07828484e-02 2.57473631e-02\n", + " 1.54436622e-02 8.82024653e-03 4.80574206e-03 2.50196413e-03\n", + " 1.24538144e-03 5.90144714e-04 2.57744709e-04 8.34976015e-05]\n", + " [3.09349992e-02 7.07492985e-02 1.01041035e-01 1.17848473e-01\n", + " 1.20930094e-01 1.12592406e-01 9.66540648e-02 7.72450015e-02\n", + " 5.78461835e-02 4.07828484e-02 2.71682702e-02 1.71520957e-02\n", + " 1.02880893e-02 5.87577499e-03 3.20143648e-03 1.66673100e-03\n", + " 8.29634534e-04 3.93136126e-04 1.71701540e-04 5.56235154e-05]\n", + " [1.95301380e-02 4.46660287e-02 6.37900571e-02 7.44010667e-02\n", + " 7.63465812e-02 7.10827633e-02 6.10204387e-02 4.87669494e-02\n", + " 3.65199281e-02 2.57473631e-02 1.71520957e-02 1.08286020e-02\n", + " 6.49516113e-03 3.70954257e-03 2.02115720e-03 1.05225431e-03\n", + " 5.23771694e-04 2.48197931e-04 1.08400028e-04 3.51166950e-05]\n", + " [1.17144755e-02 2.67913672e-02 3.82622519e-02 4.46268978e-02\n", + " 4.57938471e-02 4.26365286e-02 3.66009924e-02 2.92511621e-02\n", + " 2.19052115e-02 1.54436622e-02 1.02880893e-02 6.49516113e-03\n", + " 3.89589699e-03 2.22504037e-03 1.21232100e-03 6.31158231e-04\n", + " 3.14166273e-04 1.48872915e-04 6.50199947e-05 2.10635308e-05]\n", + " [6.69041839e-03 1.53011935e-02 2.18524913e-02 2.54874935e-02\n", + " 2.61539663e-02 2.43507459e-02 2.09037061e-02 1.67060415e-02\n", + " 1.25105925e-02 8.82024653e-03 5.87577499e-03 3.70954257e-03\n", + " 2.22504037e-03 1.27077401e-03 6.92385650e-04 3.60469630e-04\n", + " 1.79427907e-04 8.50248986e-05 3.71344811e-05 1.20298885e-05]\n", + " [3.64529778e-03 8.33690859e-03 1.19064061e-02 1.38869497e-02\n", + " 1.42500797e-02 1.32675887e-02 1.13894571e-02 9.10234491e-03\n", + " 6.81643995e-03 4.80574206e-03 3.20143648e-03 2.02115720e-03\n", + " 1.21232100e-03 6.92385650e-04 3.77248734e-04 1.96403134e-04\n", + " 9.77619202e-05 4.63261123e-05 2.02328515e-05 6.55452667e-06]\n", + " [1.89781394e-03 4.34035910e-03 6.19870991e-03 7.22981998e-03\n", + " 7.41887263e-03 6.90736847e-03 5.92957610e-03 4.73886035e-03\n", + " 3.54877312e-03 2.50196413e-03 1.66673100e-03 1.05225431e-03\n", + " 6.31158231e-04 3.60469630e-04 1.96403134e-04 1.02251347e-04\n", + " 5.08967845e-05 2.41182881e-05 1.05336217e-05 3.41241590e-06]\n", + " [9.44658730e-04 2.16046369e-03 3.08547919e-03 3.59872610e-03\n", + " 3.69282923e-03 3.43822214e-03 2.95151474e-03 2.35882227e-03\n", + " 1.76644266e-03 1.24538144e-03 8.29634534e-04 5.23771694e-04\n", + " 3.14166273e-04 1.79427907e-04 9.77619202e-05 5.08967845e-05\n", + " 2.53344602e-05 1.20051554e-05 5.24323140e-06 1.69856928e-06]\n", + " [4.47642255e-04 1.02377166e-03 1.46210565e-03 1.70531623e-03\n", + " 1.74990857e-03 1.62925876e-03 1.39862436e-03 1.11776718e-03\n", + " 8.37058243e-04 5.90144714e-04 3.93136126e-04 2.48197931e-04\n", + " 1.48872915e-04 8.50248986e-05 4.63261123e-05 2.41182881e-05\n", + " 1.20051554e-05 5.68884263e-06 2.48459243e-06 8.04895314e-07]\n", + " [1.95507000e-04 4.47130547e-04 6.38572176e-04 7.44793989e-04\n", + " 7.64269616e-04 7.11576019e-04 6.10846833e-04 4.88182930e-04\n", + " 3.65583777e-04 2.57744709e-04 1.71701540e-04 1.08400028e-04\n", + " 6.50199947e-05 3.71344811e-05 2.02328515e-05 1.05336217e-05\n", + " 5.24323140e-06 2.48459243e-06 1.08514155e-06 3.51536672e-07]\n", + " [6.17906393e-05 1.41317100e-04 2.01822865e-04 2.35394624e-04\n", + " 2.41549960e-04 2.24895973e-04 1.93060178e-04 1.54291843e-04\n", + " 1.15543971e-04 8.14610747e-05 5.42668443e-05 3.42601903e-05\n", + " 2.05497861e-05 1.17364766e-05 6.39466016e-06 3.32918624e-06\n", + " 1.65714077e-06 7.85263721e-07 3.42962606e-07 1.11104337e-07]]\n" ] } ], @@ -320408,7 +160408,7 @@ "col = 20\n", "domain_row = row\n", "domain_col = col\n", - "iterations = 200\n", + "iterations = 100\n", "delta_t = 0.1\n", "delta_x = domain_col / col\n", "delta_y = domain_row / row\n", @@ -320455,12 +160455,12 @@ }, { "cell_type": "code", - "execution_count": 171, + "execution_count": 176, "metadata": {}, "outputs": [ { "data": { - "image/png": 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I27a1tbWYOXMmhgwZAp1Oh6ysLJftioqKMHz4cBgMBgwfPhy7d+/2OC8WAkREpCktKwt6u3li586dyMrKwtKlS1FRUYGUlBSkpaWhurraZfumpiZERERg6dKlGDVqlMs25eXlSE9PR0ZGBj755BNkZGRgxowZ+PDDDz3KjYUAERGRj61ZswZz5szB3LlzMWzYMOTl5SE2NhYbNmxw2X7gwIF49dVXMWvWLISHh7tsk5eXh/vvvx85OTkYOnQocnJycO+99yIvL8+j3AJusqDQ6yD0Xt5nOkRSMgC6dW+SEie+2wUpcQBgcMh5KXGGBOulxAGAIMg56aG6eilxAOCS4x9S4tR06y0lDgBUd+slJc63hm5S4gCAI0TO+8ARLCXMd7HkXOPt7d8SFZ2kWIrE69cVbX4XlDlZ0GKxqPYbDAYYDAbVPqvViuPHj2PJkiWq/ampqTh69OgN51BeXo5Fixap9k2aNMnjQkCb7wIiItIsBxTnMsM3vH03RyA2Nhbh4eHOLTc3t9W/V1dXB7vdjsjISNX+yMhImM3mG34dZrNZSsyA6xEgIiLqLDU1NQgLC3M+vr434FrKdb05QohW+zwlIyYLASIi0hRxg7P+r48BAGFhYapCwJW+fftCr9e3+qZ+/vz5Vt/oPREVFSUlJocGiIhIU7weFvDw7oUhISEwmUwoKSlR7S8pKcHYsWNv+HUkJye3inngwAGPY7JHgIiINKUrVhbMzs5GRkYGkpKSkJycjE2bNqG6uhqZmZkAgJycHJw9exZbt251HlNZWQkAaGhowD//+U9UVlYiJCQEw4cPBwAsXLgQ48ePxwsvvICpU6di7969OHjwIN577z2PcpPeI7By5UooiqLaoqKi2jymrKwMJpMJRqMRgwYNwsaNG2WnRURE1GXS09ORl5eHVatW4fbbb8fhw4dRXFyM+Ph4AFcXELp+TYHExEQkJibi+PHjeOutt5CYmIjJkyc7nx87dix27NiBLVu24LbbbkNhYSF27tyJ0aNHe5SbT3oEbr31Vhw8eND5WK93f3lRVVUVJk+ejHnz5mHbtm14//33MX/+fERERGDatGm+SI+IiDTM0659dzE8NX/+fMyfP9/lc4WFha32CdH+nY2mT5+O6dOne5zLtXxSCAQFBbXbC9Bi48aNiIuLc173OGzYMBw7dgyrV69mIUBERNLd6BLB18cIFD6ZLHj69GnExMQgISEBjzzyCL766iu3bcvLy5GamqraN2nSJBw7dgw2m83tcU1NTbBYLKqNiIiIPCO9EBg9ejS2bt2Kd955B6+//jrMZjPGjh2LCxdcr4znbkGE5uZm1NXVuf13cnNzVYs4xMbGSn0dREQUmDr7qgF/J70QSEtLw7Rp0zBy5Ejcd9992L9/PwDgjTfecHuMqwURXO2/Vk5ODurr651bTU2NhOyJiCjQsRBQ8/nlgz169MDIkSNx+vRpl8+7WxAhKCgIffr0cRvX1XrORERE5BmfLyjU1NSEkydPIjo62uXz7hZESEpKQnCwxLuQEBERgT0C15NeCCxevBhlZWWoqqrChx9+iOnTp8NisWD27NkArnbpz5o1y9k+MzMTZ86cQXZ2Nk6ePInNmzejoKAAixcvlp0aERERC4HrSB8a+L//+z88+uijqKurQ0REBMaMGYMPPvjA7aIJCQkJKC4uxqJFi7B+/XrExMRg7dq1vHSQiIioE0gvBHbs2NHm864WTZgwYQJOnDghOxUiIqJWBLxfB6D9pX6+P3ivASIi0pSuWlnQX7EQICIiTWEhoMZCwMdkvVV0EjuiguGQEicIIVLiAIBekTNv1f1dLTynk3SedIq8n520WDL/hkmKFUB/V10SbayL4okAP03UBVgIEBGRprBHQI2FABERaQoLATWfLyhERERE/os9AkREpClCKBBefqP39nh/wkKAiIg0xQHF63UEvD3en3BogIiISMPYI0BERJrCyYJqLASIiEhTOEdAjUMDREREGsYeASIi0hQODaixECAiIk3h0IAaCwEiItIUIaFHIJAKAc4RICIi0jD2CBARkaYIAMLLG3nKu6do12MhQEREmuKAAoUrCzpxaICIiEjD2CNARESawqsG1AKvEBDC68EfxS4pFwBNVjmn+IKth5Q4AHDOHiolTqiuXkocANBLinPOHiIpEmBu7iklzjfW7lLiAMAVa7CcQM3y/ogpNjlxdM1y4gCAYpczgqs45I0EKw6HnEDeDm6rYknK6XvGIRQoXEfAiUMDREREGhZ4PQJERERtkNBxLLVjpquxECAiIk3hHAE1Dg0QERFpGHsEiIhIU9gjoMZCgIiINIVXDaixECAiIk3hZEE1zhEgIiLSMPYIEBGRplztEfB2joCkZPwACwEiItIUThZU49AAERGRhrFHgIiINEV8t3kbI1CwECAiIk3h0IAahwaIiIg0THohMHDgQCiK0mpbsGCBy/alpaUu2//tb3+TnRoREdG/xwa83QKE9ELg448/Rm1trXMrKSkBAPzkJz9p87hTp06pjhs8eLDs1IiIiIDvhga82XADQwP5+flISEiA0WiEyWTCkSNH2mxfVlYGk8kEo9GIQYMGYePGja3a5OXlYciQIejWrRtiY2OxaNEiNDY2epSX9DkCERERqsfPP/88br75ZkyYMKHN4/r164eePXvKToeIiEilK1YW3LlzJ7KyspCfn49x48bh97//PdLS0vD5558jLi6uVfuqqipMnjwZ8+bNw7Zt2/D+++9j/vz5iIiIwLRp0wAAb775JpYsWYLNmzdj7Nix+OKLL/DYY48BAF555ZUO5+bTOQJWqxXbtm3D448/DkVpu3pKTExEdHQ07r33Xhw6dMiXaREREXWqNWvWYM6cOZg7dy6GDRuGvLw8xMbGYsOGDS7bb9y4EXFxccjLy8OwYcMwd+5cPP7441i9erWzTXl5OcaNG4eZM2di4MCBSE1NxaOPPopjx455lJtPrxrYs2cPLl686KxQXImOjsamTZtgMpnQ1NSE//zP/8S9996L0tJSjB8/3u1xTU1NaGpqcj62WCwAAF2zAzrh8CrvoG+9OlzlyuUQKXH+3hDRfqMOOmEYKCXOJcc/pMQBAB28+5m1MDf3lBIHAP73cn8pcWoaekmJAwCXG4xS4ugv66XEAQB9U/ttOjMOAOiscgZwFZtdShwAgF3Oe1zqknaOABro9oDMqwZaPntaGAwGGAwG1T6r1Yrjx49jyZIlqv2pqak4evSoy/jl5eVITU1V7Zs0aRIKCgpgs9kQHByMu+++G9u2bcNHH32Eu+66C1999RWKi4sxe/Zsj16LTwuBgoICpKWlISYmxm2bIUOGYMiQIc7HycnJqKmpwerVq9ssBHJzc/Hss89KzZeIiDTgBsf4W8UAEBsbq9q9YsUKrFy5UrWvrq4OdrsdkZGRqv2RkZEwm80uw5vNZpftm5ubUVdXh+joaDzyyCP45z//ibvvvhtCCDQ3N+OJJ55oVXC0x2eFwJkzZ3Dw4EHs2rXL42PHjBmDbdu2tdkmJycH2dnZzscWi6XVD4SIiMiXampqEBYW5nx8fW/Ata4fIhdCtDls7qr9tftLS0vxu9/9Dvn5+Rg9ejS+/PJLLFy4ENHR0Vi+fHmHX4PPCoEtW7agX79++OEPf+jxsRUVFYiOjm6zjavuFyIiovbInCwYFhamKgRc6du3L/R6fatv/+fPn2/1rb9FVFSUy/ZBQUHo06cPAGD58uXIyMjA3LlzAQAjR47E5cuX8Ytf/AJLly6FTtexaYA+KQQcDge2bNmC2bNnIyhI/U/k5OTg7Nmz2Lp1K4Crlz4MHDgQt956q3NyYVFREYqKinyRGhERaV0nrzEcEhICk8mEkpIS/PjHP3buLykpwdSpU10ek5ycjL/85S+qfQcOHEBSUhKCg4MBAFeuXGn1Ya/X6yGEcPYedIRPCoGDBw+iuroajz/+eKvnamtrUV1d7XxstVqxePFinD17Ft26dcOtt96K/fv3Y/Lkyb5IjYiIqNNlZ2cjIyMDSUlJSE5OxqZNm1BdXY3MzEwArb8kZ2ZmYt26dcjOzsa8efNQXl6OgoICbN++3RlzypQpWLNmDRITE51DA8uXL8eDDz4Ivb7jE4J9Ugikpqa6rUYKCwtVj5966ik89dRTvkiDiIiola6410B6ejouXLiAVatWoba2FiNGjEBxcTHi4+MBtP6SnJCQgOLiYixatAjr169HTEwM1q5d61xDAACWLVsGRVGwbNkynD17FhEREZgyZQp+97vfeZQbbzpERETa0wVXTs6fPx/z5893+dz1X5IBYMKECThx4oTbeEFBQVixYgVWrFjhVV686RAREZGGsUeAiIg0hbchVmMhQERE2tLJVw34OxYCRESkMcp3m7cxAgPnCBAREWkYewSIiEhbODSgwkKAiIi0hYWACocGiIiINIw9AkREpC0Sb0McCFgIEBGRpsi8+2AgCLhCQLHaoeibvYoRfFneT1h3MVhKnL9/00dKHAAI0tmlxKnp1ltKHADQKXLO+TfW7lLiAEBNQy8pcc5eCJcSBwDEv0KkxDFY5H2bCW6Q87MLanRIiQMA+iY5sRSbvJwUm3d/l1qIZjlxAHh0h7q2A0k4TzJi0A0JuEKAiIioTZwsqMJCgIiItIVzBFR41QAREZGGsUeAiIg0RRFXN29jBAoWAkREpC2cI6DCQoCIiLSFcwRUOEeAiIhIw9gjQERE2sKhARUWAkREpC0sBFQ4NEBERKRh7BEgIiJtYY+ACgsBIiLSFl41oMKhASIiIg1jjwAREWkKVxZUYyFARETawjkCKhwaICIi0jAWAkRERBrGoQEiItIUBRLmCEjJxD8EXCGgWJuh6PVexQhukDf4Y/hGTqdLQ/ceUuIAwOf2KClxqrv1khIHAHSSZt5csQZLiQMAlxuMUuKIf4VIiQMAId949952xqmXEuZqrEtyfnbBlx1S4gCA/ttmKXF0TTYpcQAANjk5wW6XEwcAHPLO+fcKLx9U4dAAERGRhgVcjwAREVGbeNWACgsBIiLSFhYCKhwaICIi0jD2CBARkaZwZUE1j3sEDh8+jClTpiAmJgaKomDPnj2q54UQWLlyJWJiYtCtWzdMnDgRn332Wbtxi4qKMHz4cBgMBgwfPhy7d+/2NDUiIqL2CUlbgPC4ELh8+TJGjRqFdevWuXz+xRdfxJo1a7Bu3Tp8/PHHiIqKwv33349Lly65jVleXo709HRkZGTgk08+QUZGBmbMmIEPP/zQ0/SIiIjIAx4PDaSlpSEtLc3lc0II5OXlYenSpXj44YcBAG+88QYiIyPx1ltv4Ze//KXL4/Ly8nD//fcjJycHAJCTk4OysjLk5eVh+/btnqZIRETkHicLqkidLFhVVQWz2YzU1FTnPoPBgAkTJuDo0aNujysvL1cdAwCTJk1q85impiZYLBbVRkRE1J6WOQLeboFCaiFgNpsBAJGRkar9kZGRzufcHefpMbm5uQgPD3dusbGxXmRORESkTT65fFBR1EsvCiFa7fP2mJycHNTX1zu3mpqaG0+YiIi0o2WJYW+3ACH18sGoqKtr2JvNZkRHRzv3nz9/vtU3/uuPu/7bf3vHGAwGGAwGLzMmIiLN4RwBFak9AgkJCYiKikJJSYlzn9VqRVlZGcaOHev2uOTkZNUxAHDgwIE2jyEiIroRnCOg5nGPQENDA7788kvn46qqKlRWVqJ3796Ii4tDVlYWnnvuOQwePBiDBw/Gc889h+7du2PmzJnOY2bNmoX+/fsjNzcXALBw4UKMHz8eL7zwAqZOnYq9e/fi4MGDeO+99yS8RCIiInLH4x6BY8eOITExEYmJiQCA7OxsJCYm4j/+4z8AAE899RSysrIwf/58JCUl4ezZszhw4ABCQ0OdMaqrq1FbW+t8PHbsWOzYsQNbtmzBbbfdhsLCQuzcuROjR4/29vURERGpddGCQvn5+UhISIDRaITJZMKRI0fabF9WVgaTyQSj0YhBgwZh48aNrdpcvHgRCxYsQHR0NIxGI4YNG4bi4mKP8vK4R2DixIkQwv0ZUBQFK1euxMqVK922KS0tbbVv+vTpmD59uqfpEBEReUZG176Hx+/cuRNZWVnIz8/HuHHj8Pvf/x5paWn4/PPPERcX16p9VVUVJk+ejHnz5mHbtm14//33MX/+fERERGDatGkArg6933///ejXrx/+/Oc/Y8CAAaipqVF98e4I3muAiIjIx9asWYM5c+Zg7ty5AK4upPfOO+9gw4YNzmHya23cuBFxcXHIy8sDAAwbNgzHjh3D6tWrnYXA5s2b8c033+Do0aMIDg4GAMTHx3ucW8AVAorVBkXn3RxIg8UuKRvA8I2c+ZiOYHk/qsamHlLifGvoJiUOAEDWlTjN8i7p0V/WS4ljsMjLKaReThzDRXkznQwWh5Q4wZeapcQBAP0Vq5xAVpucOADQLOn1yYoDAHY5f+uEw/v3U1s9zdJJvGrg+sXsXF3RZrVacfz4cSxZskS1PzU11e3Cee4W2isoKIDNZkNwcDD27duH5ORkLFiwAHv37kVERARmzpyJp59+Gnp9x/9+8TbERESkLRLnCMTGxqoWt3P17b6urg52u92jhfPcLbTX3NyMuro6AMBXX32FP//5z7Db7SguLsayZcvw8ssv43e/+51HpyPgegSIiIg6S01NDcLCwpyP21rfxtOF81y1v3a/w+FAv379sGnTJuj1ephMJpw7dw4vvfSScwJ/R7AQICIiTZGxDkDL8WFhYapCwJW+fftCr9d7tHCeu4X2goKC0KdPHwBAdHQ0goODVcMAw4YNg9lshtVqRUhISIdeC4cGiIiIfCgkJAQmk6nVwnklJSVuF85zt9BeUlKSc2LguHHj8OWXX8Lh+Pc8nS+++ALR0dEdLgIAFgJEREQ+l52djT/84Q/YvHkzTp48iUWLFqG6uhqZmZkArt4/Z9asWc72mZmZOHPmDLKzs3Hy5Els3rwZBQUFWLx4sbPNE088gQsXLmDhwoX44osvsH//fjz33HNYsGCBR7lxaICIiLSlC+41kJ6ejgsXLmDVqlWora3FiBEjUFxc7Lzcr7a2FtXV1c72CQkJKC4uxqJFi7B+/XrExMRg7dq1zksHgasTFQ8cOIBFixbhtttuQ//+/bFw4UI8/fTTHuXGQoCIiDRF5hwBT8yfPx/z5893+VxhYWGrfRMmTMCJEyfajJmcnIwPPvjA82SuwUKAiIi0J4BuGuQtzhEgIiLSMPYIEBGRtnTBHAF/xkKAiIg0pavmCPgrDg0QERFpGHsEiIhIWzg0oMJCgIiINIVDA2ocGiAiItIw9ggQEZG2cGhAhYUAERFpCwsBFQ4NEBERaVjg9QhYbYDOu/om2NIsKRnA+I2+/UYdocir2fTfysnJESLptQGAIimMTU4cANA3yYkT3CDvq0PIJTmxDBZH+406KPiSnN8X/RWrlDgAoHwrJ5bSKC8nYZPz5hR2eT87IQLoa60HOFlQLfAKASIiorZwaECFhQAREWkLCwEVzhEgIiLSMPYIEBGRpnCOgBoLASIi0hYODahwaICIiEjD2CNARESawqEBNRYCRESkLRwaUOHQABERkYaxR4CIiLSFPQIqLASIiEhTFHi/qrmkVdH9AocGiIiINIw9AkREpC0cGlBhIUBERJrCywfVPB4aOHz4MKZMmYKYmBgoioI9e/Y4n7PZbHj66acxcuRI9OjRAzExMZg1axbOnTvXZszCwkIoitJqa2xs9PgFERERtUlI2gKEx4XA5cuXMWrUKKxbt67Vc1euXMGJEyewfPlynDhxArt27cIXX3yBBx98sN24YWFhqK2tVW1Go9HT9IiIiMgDHg8NpKWlIS0tzeVz4eHhKCkpUe177bXXcNddd6G6uhpxcXFu4yqKgqioKE/TISIi8lwAfaP3ls/nCNTX10NRFPTs2bPNdg0NDYiPj4fdbsftt9+O3/72t0hMTHTbvqmpCU1NTc7HFosFACCabBA67y7s0DdYvTr+WsZ/yTnFMsejgq7IufDFESwlDABASLoWR9csJw4A6Jvab9MRQY0OOYEABF+WEyv4krwTpb8i5/dF1yDphANQmuTkJGw2KXEAAM2SzrndLicOADgk/WEREt6XMmJ0EOcIqPn08sHGxkYsWbIEM2fORFhYmNt2Q4cORWFhIfbt24ft27fDaDRi3LhxOH36tNtjcnNzER4e7txiY2N98RKIiIgCms8KAZvNhkceeQQOhwP5+fltth0zZgx+9rOfYdSoUUhJScEf//hH3HLLLXjttdfcHpOTk4P6+nrnVlNTI/slEBFRIOJkQRWfDA3YbDbMmDEDVVVVePfdd9vsDXBFp9PhzjvvbLNHwGAwwGAweJsqERFpDIcG1KT3CLQUAadPn8bBgwfRp08fj2MIIVBZWYno6GjZ6REREdE1PO4RaGhowJdfful8XFVVhcrKSvTu3RsxMTGYPn06Tpw4gf/6r/+C3W6H2WwGAPTu3RshISEAgFmzZqF///7Izc0FADz77LMYM2YMBg8eDIvFgrVr16KyshLr16+X8RqJiIj+jSsLqnhcCBw7dgz33HOP83F2djYAYPbs2Vi5ciX27dsHALj99ttVxx06dAgTJ04EAFRXV0On+3dnxMWLF/GLX/wCZrMZ4eHhSExMxOHDh3HXXXd5mh4REVGbODSg5nEhMHHiRAjh/gy09VyL0tJS1eNXXnkFr7zyiqepEBERkZd4rwEiItIWDg2osBAgIiJtYSGgwkKAiIg0hXME1Hy6siARERH5N/YIEBGRtnBoQIWFABERaYoiBJQOXOHWXoxAwaEBIiIiDWMhQERE2tJFNx3Kz89HQkICjEYjTCYTjhw50mb7srIymEwmGI1GDBo0CBs3bnTbdseOHVAUBQ899JDHebEQICIiTWm5asDbzRM7d+5EVlYWli5dioqKCqSkpCAtLQ3V1dUu21dVVWHy5MlISUlBRUUFnnnmGTz55JMoKipq1fbMmTNYvHgxUlJSbuR0sBAgIiLytTVr1mDOnDmYO3cuhg0bhry8PMTGxmLDhg0u22/cuBFxcXHIy8vDsGHDMHfuXDz++ONYvXq1qp3dbsdPf/pTPPvssxg0aNAN5cZCgIiItKWThwasViuOHz+O1NRU1f7U1FQcPXrU5THl5eWt2k+aNAnHjh2DzWZz7lu1ahUiIiIwZ86cjid0ncC7aqDZCijehdA1fCsnFwAhBr2UOEpzsJQ4ABDcTU5OjmAvT7QPKHZ5M3l1Vjmx9E0OKXEAQP9ts5w4V6xS4gCA8q2cWEqTvJxEY5OcQFZb+206SNjk/OyE3S4lztVg8t6b3ycyFxSyWCyq/QaDAQaDQbWvrq4OdrsdkZGRqv2RkZHOO/Rez2w2u2zf3NyMuro6REdH4/3330dBQQEqKyu9ei3sESAiIrpBsbGxCA8Pd265ublu2yqK+suTEKLVvvbat+y/dOkSfvazn+H1119H3759vXgFgdgjQERE1BaJCwrV1NQgLCzMufv63gAA6Nu3L/R6fatv/+fPn2/1rb9FVFSUy/ZBQUHo06cPPvvsM3z99deYMmWK83mH42oPT1BQEE6dOoWbb765Qy+FhQAREWmKzKGBsLAwVSHgSkhICEwmE0pKSvDjH//Yub+kpARTp051eUxycjL+8pe/qPYdOHAASUlJCA4OxtChQ/Hpp5+qnl+2bBkuXbqEV199FbGxsR1+LSwEiIhIW7pgieHs7GxkZGQgKSkJycnJ2LRpE6qrq5GZmQkAyMnJwdmzZ7F161YAQGZmJtatW4fs7GzMmzcP5eXlKCgowPbt2wEARqMRI0aMUP0bPXv2BIBW+9vDQoCIiMjH0tPTceHCBaxatQq1tbUYMWIEiouLER8fDwCora1VrSmQkJCA4uJiLFq0COvXr0dMTAzWrl2LadOmSc9NESIwFky2WCwIDw/HvT0zEKSEeBcsoo+cpADY+9wkJY7tJnlXDdh51UCH8KqBjuFVAx0jrHJen2iW8x4AAEi6AkHGlQzNwoZSsQf19fXtdrXfqJbPCdOM3yEo2OhVrGZbI47/calP8+0s7BEgIiJtEeLq5m2MAMHLB4mIiDSMPQJERKQpMq8aCAQsBIiISFu64KoBf8ahASIiIg1jjwAREWmK4ri6eRsjULAQICIibeHQgAqHBoiIiDSMPQJERKQpvGpAjYUAERFpCxcUUmEhQEREmsIeAbWAKwSErRlC8W7qg+5bSeuUA9DXy1nXX7HJWRMcABxX5PzYhd7/ppgoDnm/nbLOuWKTN71Y1yRp7XuJa+grjZLW0LfJy0nW65N1fwAA0tb1lxYHgJD1+yLj23EAfcP+vgm4QoCIiKhNvGpAhYUAERFpCocG1Pyvb5eIiIg6DXsEiIhIW3jVgAoLASIi0hQODah5PDRw+PBhTJkyBTExMVAUBXv27FE9/9hjj0FRFNU2ZsyYduMWFRVh+PDhMBgMGD58OHbv3u1pakREROQhjwuBy5cvY9SoUVi3bp3bNg888ABqa2udW3FxcZsxy8vLkZ6ejoyMDHzyySfIyMjAjBkz8OGHH3qaHhERUduEpC1AeDw0kJaWhrS0tDbbGAwGREVFdThmXl4e7r//fuTk5AAAcnJyUFZWhry8PGzfvt3TFImIiNzi0ICaT64aKC0tRb9+/XDLLbdg3rx5OH/+fJvty8vLkZqaqto3adIkHD161O0xTU1NsFgsqo2IiIg8I70QSEtLw5tvvol3330XL7/8Mj7++GP84Ac/QFOT+9X6zGYzIiMjVfsiIyNhNpvdHpObm4vw8HDnFhsbK+01EBFRAHMIOVuAkH7VQHp6uvP/R4wYgaSkJMTHx2P//v14+OGH3R6nKIrqsRCi1b5r5eTkIDs72/nYYrGwGCAiovZxZUEVn18+GB0djfj4eJw+fdptm6ioqFbf/s+fP9+ql+BaBoMBBoNBWp5ERKQNCiTMEZCSiX/w+cqCFy5cQE1NDaKjo922SU5ORklJiWrfgQMHMHbsWF+nR0REpGke9wg0NDTgyy+/dD6uqqpCZWUlevfujd69e2PlypWYNm0aoqOj8fXXX+OZZ55B37598eMf/9h5zKxZs9C/f3/k5uYCABYuXIjx48fjhRdewNSpU7F3714cPHgQ7733noSXSEREdA2uLKjicSFw7Ngx3HPPPc7HLeP0s2fPxoYNG/Dpp59i69atuHjxIqKjo3HPPfdg586dCA0NdR5TXV0Nne7fnRFjx47Fjh07sGzZMixfvhw333wzdu7cidGjR3vz2oiIiFrh5YNqHhcCEydOhGijEnrnnXfajVFaWtpq3/Tp0zF9+nRP0yEiIiIv8F4DRESkLbxqQIWFABERaYoiBBQvx/i9Pd6fBFwhIJrtEEqzdzG+/VZSNq3XR7hROpt3r0kVK1jSj10n76ITIek8KQ6HlDgAALucWIrEnx1kxWqWl5Ow2eQEkpqTpFh2u5w4AISk95OQuZCNkPj7Qt9bAVcIEBERtcnx3eZtjADBQoCIiDSFQwNqPl9QiIiIiPwXewSIiEhbeNWACgsBIiLSFq4sqMJCgIiINIUrC6pxjgAREZGGsUeAiIi0hUMDKiwEiIhIUxTH1c3bGIGCQwNEREQaxh4BIiLSFg4NqLAQICIibeE6AiocGiAiItIw9ggQEZGm8F4DauwRICIibWmZI+Dt5qH8/HwkJCTAaDTCZDLhyJEjbbYvKyuDyWSC0WjEoEGDsHHjRtXzr7/+OlJSUtCrVy/06tUL9913Hz766COP82IhQERE5GM7d+5EVlYWli5dioqKCqSkpCAtLQ3V1dUu21dVVWHy5MlISUlBRUUFnnnmGTz55JMoKipytiktLcWjjz6KQ4cOoby8HHFxcUhNTcXZs2c9yk0RIjD6NywWC8LDw3GPYQaClGCvYulu6iEpK0Dp3l1KHGHw7jWpBEsaEdLJqyOFokiJozgkXtxrlxNLsTVLiQMAkBWrWV5OwmaTE0hqTpJi2e1y4gAQkt5PQmJOEJJ+XyR8jDQLG0qxF/X19QgLC5OQVGvOz4k7chCkN3oVq9neiEMncjuc7+jRo3HHHXdgw4YNzn3Dhg3DQw89hNzc3Fbtn376aezbtw8nT5507svMzMQnn3yC8vJyl/+G3W5Hr169sG7dOsyaNavDryXw5gjY7YDi3QeUsEr6wwYAuCIlimKTWAgESfqxS/rwBgBpkWTWtZJiCYkfcNI+mGR+6Er6gJP7oSsplsycHJLem7I+vIGAugTOEzLnCFgsFtV+g8EAg8Gg2me1WnH8+HEsWbJEtT81NRVHjx51Gb+8vBypqamqfZMmTUJBQQFsNhuCg1t/Jly5cgU2mw29e/f26LVwaICIiLRFQMIcgauhYmNjER4e7txcfbuvq6uD3W5HZGSkan9kZCTMZrPLFM1ms8v2zc3NqKurc3nMkiVL0L9/f9x3330enY7A6xEgIiLqJDU1Naqhget7A66lXNeLKoRota+99q72A8CLL76I7du3o7S0FEajZ8MeLASIiEhbJK4sGBYW1u4cgb59+0Kv17f69n/+/PlW3/pbREVFuWwfFBSEPn36qPavXr0azz33HA4ePIjbbrvN01fCoQEiItIYh6Stg0JCQmAymVBSUqLaX1JSgrFjx7o8Jjk5uVX7AwcOICkpSTU/4KWXXsJvf/tbvP3220hKSup4UtdgIUBERORj2dnZ+MMf/oDNmzfj5MmTWLRoEaqrq5GZmQkAyMnJUc30z8zMxJkzZ5CdnY2TJ09i8+bNKCgowOLFi51tXnzxRSxbtgybN2/GwIEDYTabYTab0dDQ4FFuHBogIiJN6YqVBdPT03HhwgWsWrUKtbW1GDFiBIqLixEfHw8AqK2tVa0pkJCQgOLiYixatAjr169HTEwM1q5di2nTpjnb5Ofnw2q1Yvr06ap/a8WKFVi5cqUnryUwrh9xXh8aNM3rdQSUbt0kZQUoIXIu+1NcXCpyw/zw8kFpePlgx/DywY7h5YOdpjPXEbj31v+HIL37SX0d0Wxvwv989pJP8+0sHBogIiLSMA4NEBGRtki8aiAQsBAgIiJtYSGgwqEBIiIiDWOPABERaYsD3t/gROKcza7GQoCIiDSlKy4f9GcsBIiISFs4R0DF4zkChw8fxpQpUxATEwNFUbBnzx7V84qiuNxeeukltzELCwtdHtPY2OjxCyIiIqKO87hH4PLlyxg1ahR+/vOfq1Y4alFbW6t6/N///d+YM2eOy7bXCgsLw6lTp1T7PL2DEhERUbscAlC8/EYva4EoP+BxIZCWloa0tDS3z0dFRake7927F/fccw8GDRrUZlxFUVodS0REJB2HBlR8evngP/7xD+zfvx9z5sxpt21DQwPi4+MxYMAA/OhHP0JFRUWb7ZuammCxWFQbERERecankwXfeOMNhIaG4uGHH26z3dChQ1FYWIiRI0fCYrHg1Vdfxbhx4/DJJ59g8ODBLo/Jzc3Fs88+22q/cAgIb7t8rFbvjr+WrLXKbRLXq9dJukeA4ofLUMhch11S15/U23k4/HBdf1mvT2ZXq6T3gbT7A1wNJilO4HwT7ToSegQQOD8Hn/4l37x5M37605+2O9Y/ZswY/OxnP8OoUaOQkpKCP/7xj7jlllvw2muvuT0mJycH9fX1zq2mpkZ2+kREFIhahga83QKEz3oEjhw5glOnTmHnzp0eH6vT6XDnnXfi9OnTbtsYDAYYDN7dPYqIiEjrfNYjUFBQAJPJhFGjRnl8rBAClZWViI6O9kFmRESkaQ4hZwsQHvcINDQ04Msvv3Q+rqqqQmVlJXr37o24uDgAV+/5/Kc//Qkvv/yyyxizZs1C//79kZubCwB49tlnMWbMGAwePBgWiwVr165FZWUl1q9ffyOviYiIyD3h8H7Ohsz5SF3M40Lg2LFjuOeee5yPs7OzAQCzZ89GYWEhAGDHjh0QQuDRRx91GaO6uho63b87Iy5evIhf/OIXMJvNCA8PR2JiIg4fPoy77rrL0/SIiIjIA4qQOqW561gsFoSHh2Oi7mEEKcFexVKC5U2dUPR6OXGCJE7n4FUDHcOrBjqEVw10OJikOAHxJ7uVZmFDKfaivr4eYWFhPvk3Wj4n7ot9AkE67+aYNTuacLBmg0/z7Sy81wAREWmLQ8Dry/+0PEeAiIjoe40rC6r4Yd8uERERdRb2CBARkbYISOgRkJKJX2AhQERE2sKhARUODRAREWkYewSIiEhbHA4AXl7OKetSXj/AQoCIiLSFQwMqHBogIiLSMPYIEBGRtrBHQIWFABERaQtXFlQJvELAYfd6DXxhlTcJREhaj1/RWaXE+S6YvFjUPj+8S5nUNfRl8cPzFEjf+ojcCbxCgIiIqA1COCC8LDy9Pd6fsBAgIiJtEcL7rv0A6i1iIUBERNoiJMwRCKBCgIPFREREGsYeASIi0haHA1C8HOPnHAEiIqLvKQ4NqHBogIiISMPYI0BERJoiHA4IL4cGePkgERHR9xWHBlQ4NEBERKRh7BEgIiJtcQhAYY9ACxYCRESkLUIA8PbywcApBDg0QEREpGHsESAiIk0RDgHh5dCACKAeARYCRESkLcIB74cGePkgERHR9xJ7BNQ4R4CIiEjDAqZHoKU6a4bN63UiAMXrfP5NTq2lCP/LiTrID7sQ/fLbjB+ep0CaGe7vmmED0DnvzWbR5PX7rSXfQBAwhcClS5cAAO+h2PtgMt+HsmL54d9IIiLZLl26hPDwcJ/EDgkJQVRUFN4zS/icABAVFYWQkBApsbqSIvzyq4HnHA4Hzp07h9DQUCiK62/PFosFsbGxqKmpQVhYWCdneOOYd+f7vubOvDsX85ZHCIFLly4hJiYGOp3vei0bGxthtVqlxAoJCYHRaJQSqysFTI+ATqfDgAEDOtQ2LCzMb978nmDene/7mjvz7lzMWw5f9QRcy2g0BsSHt0wcLCYiItIwFgJEREQapqlCwGAwYMWKFTAYDF2dikeYd+f7vubOvDsX86ZAEDCTBYmIiMhzmuoRICIiIjUWAkRERBrGQoCIiEjDWAgQERFpWMAVAvn5+UhISIDRaITJZMKRI0fabF9WVgaTyQSj0YhBgwZh48aNnZTpVbm5ubjzzjsRGhqKfv364aGHHsKpU6faPKa0tBSKorTa/va3v3VS1sDKlStb/ftRUVFtHtPV57rFwIEDXZ6/BQsWuGzfVef78OHDmDJlCmJiYqAoCvbs2aN6XgiBlStXIiYmBt26dcPEiRPx2WeftRu3qKgIw4cPh8FgwPDhw7F79+5Oy9tms+Hpp5/GyJEj0aNHD8TExGDWrFk4d+5cmzELCwtd/gwaGxs7JW8AeOyxx1r9+2PGjGk3bleebwAuz5uiKHjppZfcxuyM803+I6AKgZ07dyIrKwtLly5FRUUFUlJSkJaWhurqapftq6qqMHnyZKSkpKCiogLPPPMMnnzySRQVFXVazmVlZViwYAE++OADlJSUoLm5Gampqbh8+XK7x546dQq1tbXObfDgwZ2Q8b/deuutqn//008/ddvWH851i48//liVd0lJCQDgJz/5SZvHdfb5vnz5MkaNGoV169a5fP7FF1/EmjVrsG7dOnz88ceIiorC/fff77zvhivl5eVIT09HRkYGPvnkE2RkZGDGjBn48MMPOyXvK1eu4MSJE1i+fDlOnDiBXbt24YsvvsCDDz7YbtywsDDV+a+trZW6Qlx75xsAHnjgAdW/X1zc9pr1XX2+AbQ6Z5s3b4aiKJg2bVqbcX19vsmPiABy1113iczMTNW+oUOHiiVLlrhs/9RTT4mhQ4eq9v3yl78UY8aM8VmO7Tl//rwAIMrKyty2OXTokAAg/vWvf3VeYtdZsWKFGDVqVIfb++O5brFw4UJx8803C4fD4fJ5fzjfAMTu3budjx0Oh4iKihLPP/+8c19jY6MIDw8XGzdudBtnxowZ4oEHHlDtmzRpknjkkUek5yxE67xd+eijjwQAcebMGbdttmzZIsLDw+Um1wZXec+ePVtMnTrVozj+eL6nTp0qfvCDH7TZprPPN3WtgOkRsFqtOH78OFJTU1X7U1NTcfToUZfHlJeXt2o/adIkHDt2DDZb19xisr6+HgDQu3fvdtsmJiYiOjoa9957Lw4dOuTr1Fo5ffo0YmJikJCQgEceeQRfffWV27b+eK6Bq++bbdu24fHHH3d7s6oWXX2+r1VVVQWz2aw6pwaDARMmTHD7fgfc/xzaOsbX6uvroSgKevbs2Wa7hoYGxMfHY8CAAfjRj36EioqKzknwGqWlpejXrx9uueUWzJs3D+fPn2+zvb+d73/84x/Yv38/5syZ025bfzjf1DkCphCoq6uD3W5HZGSkan9kZCTMZrPLY8xms8v2zc3NqKur81mu7gghkJ2djbvvvhsjRoxw2y46OhqbNm1CUVERdu3ahSFDhuDee+/F4cOHOy3X0aNHY+vWrXjnnXfw+uuvw2w2Y+zYsbhw4YLL9v52rlvs2bMHFy9exGOPPea2jT+c7+u1vKc9eb+3HOfpMb7U2NiIJUuWYObMmW3e/Gbo0KEoLCzEvn37sH37dhiNRowbNw6nT5/utFzT0tLw5ptv4t1338XLL7+Mjz/+GD/4wQ/Q1NTk9hh/O99vvPEGQkND8fDDD7fZzh/ON3WegLn7YIvrv9UJIdr8pueqvav9neFXv/oV/vrXv+K9995rs92QIUMwZMgQ5+Pk5GTU1NRg9erVGD9+vK/TBHD1j2KLkSNHIjk5GTfffDPeeOMNZGdnuzzGn851i4KCAqSlpSEmJsZtG3843+54+n6/0WN8wWaz4ZFHHoHD4UB+fn6bbceMGaOamDdu3DjccccdeO2117B27VpfpwoASE9Pd/7/iBEjkJSUhPj4eOzfv7/ND1Z/Od8AsHnzZvz0pz9td6zfH843dZ6A6RHo27cv9Hp9q0r7/PnzrSryFlFRUS7bBwUFoU+fPj7L1ZVf//rX2LdvHw4dOtTh2ylfa8yYMV1arffo0QMjR450m4M/nesWZ86cwcGDBzF37lyPj+3q891yhYYn7/eW4zw9xhdsNhtmzJiBqqoqlJSUeHwrXJ1OhzvvvLNLfwbR0dGIj49vMwd/Od8AcOTIEZw6deqG3u/+cL7JdwKmEAgJCYHJZHLOAG9RUlKCsWPHujwmOTm5VfsDBw4gKSkJwcHBPsv1WkII/OpXv8KuXbvw7rvvIiEh4YbiVFRUIDo6WnJ2HdfU1ISTJ0+6zcEfzvX1tmzZgn79+uGHP/yhx8d29flOSEhAVFSU6pxarVaUlZW5fb8D7n8ObR0jW0sRcPr0aRw8ePCGCkEhBCorK7v0Z3DhwgXU1NS0mYM/nO8WBQUFMJlMGDVqlMfH+sP5Jh/qqlmKvrBjxw4RHBwsCgoKxOeffy6ysrJEjx49xNdffy2EEGLJkiUiIyPD2f6rr74S3bt3F4sWLRKff/65KCgoEMHBweLPf/5zp+X8xBNPiPDwcFFaWipqa2ud25UrV5xtrs/7lVdeEbt37xZffPGF+N///V+xZMkSAUAUFRV1Wt6/+c1vRGlpqfjqq6/EBx98IH70ox+J0NBQvz7X17Lb7SIuLk48/fTTrZ7zl/N96dIlUVFRISoqKgQAsWbNGlFRUeGcXf/888+L8PBwsWvXLvHpp5+KRx99VERHRwuLxeKMkZGRobpq5v333xd6vV48//zz4uTJk+L5558XQUFB4oMPPuiUvG02m3jwwQfFgAEDRGVlpeo939TU5DbvlStXirffflv8/e9/FxUVFeLnP/+5CAoKEh9++GGn5H3p0iXxm9/8Rhw9elRUVVWJQ4cOieTkZNG/f3+/Pt8t6uvrRffu3cWGDRtcxuiK803+I6AKASGEWL9+vYiPjxchISHijjvuUF2GN3v2bDFhwgRV+9LSUpGYmChCQkLEwIED3f6i+AoAl9uWLVvc5v3CCy+Im2++WRiNRtGrVy9x9913i/3793dq3unp6SI6OloEBweLmJgY8fDDD4vPPvvMbc5CdP25vtY777wjAIhTp061es5fznfLZYvXb7NnzxZCXL2EcMWKFSIqKkoYDAYxfvx48emnn6piTJgwwdm+xZ/+9CcxZMgQERwcLIYOHSq9oGkr76qqKrfv+UOHDrnNOysrS8TFxYmQkBAREREhUlNTxdGjRzst7ytXrojU1FQREREhgoODRVxcnJg9e7aorq5WxfC3893i97//vejWrZu4ePGiyxhdcb7Jf/A2xERERBoWMHMEiIiIyHMsBIiIiDSMhQAREZGGsRAgIiLSMBYCREREGsZCgIiISMNYCBAREWkYCwEiIiINYyFARESkYSwEiIiINIyFABERkYaxECAiItKw/w+vGbW9ZsLWTgAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] diff --git a/proto/FTCS.ipynb b/proto/FTCS.ipynb index 4708428..d6fecd9 100644 --- a/proto/FTCS.ipynb +++ b/proto/FTCS.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 109, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -17,7 +17,7 @@ }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -36,7 +36,7 @@ "delta_x = domain_size['x'] / grid_size['x']\n", "delta_y = domain_size['y'] / grid_size['y'] \n", "\n", - "alpha_x = np.random.random((grid_size['x'],grid_size['y']))\n", + "alpha_x = np.ones((grid_size['x'],grid_size['y']))\n", "alpha_y = np.ones((grid_size['x'],grid_size['y']))\n", "\n", "# time dimension\n", @@ -51,12 +51,12 @@ }, { "cell_type": "code", - "execution_count": 125, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -68,8 +68,8 @@ "source": [ "# initialize environment with start values\n", "C_t = np.zeros((grid_size['x'],grid_size['y']))\n", - "C_t[19,0] = 2000\n", - "C_t[19,19] = 2000\n", + "C_t[0,0] = 2000\n", + "# C_t[19,19] = 2000\n", "\n", "\n", "plt.imshow(C_t, vmin=0, vmax=2000)\n", @@ -78,12 +78,12 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# calculate mean between two cells\n", - "def alpha_interblock(alpha1, alpha2, harmonic=False):\n", + "def alpha_interblock(alpha1, alpha2, harmonic=True):\n", " if not harmonic:\n", " return 0.5 * (alpha1 + alpha2)\n", " else:\n", @@ -100,7 +100,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -333,12 +333,12 @@ }, { "cell_type": "code", - "execution_count": 126, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -350,8 +350,8 @@ "source": [ "records = []\n", "\n", - "for i in range(1000):\n", - " C_t = simulate_closed_boundary(C_t)\n", + "for i in range(100):\n", + " C_t = simulate_constant_boundary(C_t)\n", " records.append(C_t)\n", "\n", "# with np.printoptions(precision=2,floatmode='fixed',linewidth=200):\n", @@ -362,6 +362,28 @@ "plt.show()\n" ] }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(C_t)\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, { "attachments": {}, "cell_type": "markdown",