From 2a97bb65c6748b940d5ea0a6b6082e0a3f565922 Mon Sep 17 00:00:00 2001 From: philippun Date: Wed, 9 Aug 2023 17:56:07 +0200 Subject: [PATCH] fixed a bug in which non-square grids did not work --- proto/BTCS.ipynb | 208 ++++++++++++++++++++++++++--------------------- 1 file changed, 114 insertions(+), 94 deletions(-) diff --git a/proto/BTCS.ipynb b/proto/BTCS.ipynb index 4a66893..e189663 100644 --- a/proto/BTCS.ipynb +++ b/proto/BTCS.ipynb @@ -94,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": 241, + "execution_count": 260, "metadata": {}, "outputs": [], "source": [ @@ -136,9 +136,12 @@ "def create_solution_vector(concentrations, alpha_x, alpha_y, row_index, s_x, s_y, bc_left, bc_right, bc_top, bc_bottom):\n", "\n", " sv = np.zeros(concentrations.shape[1])\n", + " # print(concentrations.shape[1])\n", + " # print(sv.shape[0])\n", + " # print(row_index)\n", "\n", " # inner rows\n", - " if row_index > 0 and row_index < sv.shape[0]-1:\n", + " if row_index > 0 and row_index < concentrations.shape[0]-1:\n", " for i in range(0, sv.shape[0]):\n", " sv[i] = s_y * alpha_interblock(alpha_y[row_index+1,i],alpha_y[row_index,i]) * concentrations[row_index+1,i] \\\n", " + (\n", @@ -199,6 +202,7 @@ "\n", " for i in range(concentrations.shape[0]):\n", " A = create_coeff_matrix(alpha_x, i, s_x)\n", + " # print(i)\n", " b = create_solution_vector(concentrations, alpha_x, alpha_y, i, s_x, s_y, bc_left, bc_right, bc_top, bc_bottom)\n", " concentrations_t1[i,:] = np.linalg.solve(A,b)\n", "\n", @@ -225,7 +229,7 @@ }, { "cell_type": "code", - "execution_count": 242, + "execution_count": 263, "metadata": {}, "outputs": [ { @@ -272,6 +276,10 @@ " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0.]\n", " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", + " 0. 0. 0. 0. 0. 0. 0. 0.]\n", + " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", + " 0. 0. 0. 0. 0. 0. 0. 0.]\n", + " [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0.]]\n", "\n", "Test Alpha:\n", @@ -294,114 +302,126 @@ " [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n", " [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n", " [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n", + " [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n", + " [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n", " [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]]\n", "\n", "Test Concentrations t=t+100:\n", "[[1.03406102e-02 2.94500761e-02 4.42425339e-02 5.30261971e-02\n", - " 5.54585202e-02 5.24218517e-02 4.55845468e-02 3.68489169e-02\n", - " 2.78821774e-02 1.98459123e-02 1.33384447e-02 8.49104197e-03\n", - " 5.13286742e-03 2.95307410e-03 1.62013743e-03 8.48919901e-04\n", - " 4.24937081e-04 2.01925178e-04 8.71721193e-05 2.40321537e-05]\n", + " 5.54585202e-02 5.24218517e-02 4.55845468e-02 3.68489168e-02\n", + " 2.78821771e-02 1.98459113e-02 1.33384415e-02 8.49103230e-03\n", + " 5.13283898e-03 2.95299311e-03 1.61991433e-03 8.48326049e-04\n", + " 4.23411469e-04 1.98147312e-04 7.81667728e-05 0.00000000e+00]\n", " [2.94500761e-02 8.38738682e-02 1.26002814e-01 1.51018702e-01\n", " 1.57945963e-01 1.49297526e-01 1.29824869e-01 1.04945780e-01\n", - " 7.94084902e-02 5.65211929e-02 3.79879138e-02 2.41825024e-02\n", - " 1.46184154e-02 8.41036020e-03 4.61415423e-03 2.41772537e-03\n", - " 1.21022155e-03 5.75083262e-04 2.48266349e-04 6.84436157e-05]\n", + " 7.94084893e-02 5.65211900e-02 3.79879047e-02 2.41824749e-02\n", + " 1.46183344e-02 8.41012956e-03 4.61351885e-03 2.41603407e-03\n", + " 1.20587661e-03 5.64323892e-04 2.22619106e-04 0.00000000e+00]\n", " [4.42425339e-02 1.26002814e-01 1.89292678e-01 2.26873779e-01\n", " 2.37280529e-01 2.24288074e-01 1.95034511e-01 1.57658921e-01\n", - " 1.19294525e-01 8.49111829e-02 5.70688361e-02 3.63291144e-02\n", - " 2.19610889e-02 1.26347941e-02 6.93179449e-03 3.63212293e-03\n", - " 1.81810288e-03 8.63941426e-04 3.72967877e-04 1.02822111e-04]\n", + " 1.19294523e-01 8.49111786e-02 5.70688225e-02 3.63290730e-02\n", + " 2.19609672e-02 1.26344476e-02 6.93083997e-03 3.62958212e-03\n", + " 1.81157551e-03 8.47777741e-04 3.34438299e-04 0.00000000e+00]\n", " [5.30261971e-02 1.51018702e-01 2.26873779e-01 2.71916020e-01\n", - " 2.84388867e-01 2.68816963e-01 2.33755563e-01 1.88959635e-01\n", - " 1.42978587e-01 1.01768970e-01 6.83989610e-02 4.35416919e-02\n", - " 2.63211197e-02 1.51432348e-02 8.30799388e-03 4.35322413e-03\n", - " 2.17905877e-03 1.03546348e-03 4.47014816e-04 1.23235833e-04]\n", + " 2.84388867e-01 2.68816963e-01 2.33755563e-01 1.88959634e-01\n", + " 1.42978585e-01 1.01768965e-01 6.83989447e-02 4.35416423e-02\n", + " 2.63209738e-02 1.51428195e-02 8.30684985e-03 4.35017888e-03\n", + " 2.17123550e-03 1.01609075e-03 4.00835793e-04 0.00000000e+00]\n", " [5.54585202e-02 1.57945963e-01 2.37280529e-01 2.84388867e-01\n", - " 2.97433845e-01 2.81147656e-01 2.44477981e-01 1.97627254e-01\n", - " 1.49537045e-01 1.06437135e-01 7.15364362e-02 4.55389587e-02\n", - " 2.75284751e-02 1.58378583e-02 8.68908336e-03 4.55290746e-03\n", - " 2.27901267e-03 1.08296042e-03 4.67519482e-04 1.28888687e-04]\n", + " 2.97433845e-01 2.81147655e-01 2.44477981e-01 1.97627253e-01\n", + " 1.49537044e-01 1.06437130e-01 7.15364191e-02 4.55389069e-02\n", + " 2.75283226e-02 1.58374240e-02 8.68788685e-03 4.54972253e-03\n", + " 2.27083054e-03 1.06269905e-03 4.19222217e-04 0.00000000e+00]\n", " [5.24218517e-02 1.49297526e-01 2.24288074e-01 2.68816963e-01\n", - " 2.81147656e-01 2.65753227e-01 2.31091425e-01 1.86806041e-01\n", - " 1.41349044e-01 1.00609098e-01 6.76194106e-02 4.30454425e-02\n", - " 2.60211350e-02 1.49706457e-02 8.21330676e-03 4.30360996e-03\n", - " 2.15422380e-03 1.02366219e-03 4.41920139e-04 1.21831301e-04]\n", + " 2.81147656e-01 2.65753227e-01 2.31091425e-01 1.86806040e-01\n", + " 1.41349042e-01 1.00609093e-01 6.76193944e-02 4.30453935e-02\n", + " 2.60209908e-02 1.49702352e-02 8.21217577e-03 4.30059942e-03\n", + " 2.14648969e-03 1.00451025e-03 3.96267423e-04 0.00000000e+00]\n", " [4.55845468e-02 1.29824869e-01 1.95034511e-01 2.33755563e-01\n", " 2.44477981e-01 2.31091425e-01 2.00950511e-01 1.62441204e-01\n", - " 1.22913096e-01 8.74868017e-02 5.87999104e-02 3.74310888e-02\n", - " 2.26272367e-02 1.30180465e-02 7.14205726e-03 3.74229645e-03\n", - " 1.87325156e-03 8.90147442e-04 3.84281146e-04 1.05941024e-04]\n", + " 1.22913095e-01 8.74867972e-02 5.87998964e-02 3.74310462e-02\n", + " 2.26271113e-02 1.30176895e-02 7.14107378e-03 3.73967857e-03\n", + " 1.86652620e-03 8.73493462e-04 3.44582847e-04 0.00000000e+00]\n", " [3.68489169e-02 1.04945780e-01 1.57658921e-01 1.88959635e-01\n", " 1.97627254e-01 1.86806041e-01 1.62441204e-01 1.31311658e-01\n", - " 9.93585501e-02 7.07212008e-02 4.75317441e-02 3.02579531e-02\n", - " 1.82910487e-02 1.05233230e-02 5.77338359e-03 3.02513857e-03\n", - " 1.51426955e-03 7.19563348e-04 3.10639131e-04 8.56389336e-05]\n", - " [2.78821774e-02 7.94084902e-02 1.19294525e-01 1.42978587e-01\n", - " 1.49537045e-01 1.41349044e-01 1.22913096e-01 9.93585501e-02\n", - " 7.51808454e-02 5.35120496e-02 3.59654675e-02 2.28950452e-02\n", - " 1.38401426e-02 7.96259931e-03 4.36850033e-03 2.28900759e-03\n", - " 1.14579032e-03 5.44466287e-04 2.35048846e-04 6.47997321e-05]\n", - " [1.98459123e-02 5.65211929e-02 8.49111829e-02 1.01768970e-01\n", - " 1.06437135e-01 1.00609098e-01 8.74868017e-02 7.07212008e-02\n", - " 5.35120496e-02 3.80886839e-02 2.55994179e-02 1.62961827e-02\n", - " 9.85110493e-03 5.66760067e-03 3.10940114e-03 1.62926457e-03\n", - " 8.15548004e-04 3.87538964e-04 1.67302528e-04 4.61230046e-05]\n", - " [1.33384447e-02 3.79879138e-02 5.70688361e-02 6.83989610e-02\n", - " 7.15364362e-02 6.76194106e-02 5.87999104e-02 4.75317441e-02\n", - " 3.59654675e-02 2.55994179e-02 1.72053779e-02 1.09526702e-02\n", - " 6.62093111e-03 3.80919642e-03 2.08982961e-03 1.09502929e-03\n", - " 5.48130103e-04 2.60465075e-04 1.12444088e-04 3.09992877e-05]\n", - " [8.49104197e-03 2.41825024e-02 3.63291144e-02 4.35416919e-02\n", - " 4.55389587e-02 4.30454425e-02 3.74310888e-02 3.02579531e-02\n", - " 2.28950452e-02 1.62961827e-02 1.09526702e-02 6.97229584e-03\n", - " 4.21477956e-03 2.42487392e-03 1.33035233e-03 6.97078252e-04\n", - " 3.48930915e-04 1.65807929e-04 7.15801202e-05 1.97336541e-05]\n", - " [5.13286742e-03 1.46184154e-02 2.19610889e-02 2.63211197e-02\n", - " 2.75284751e-02 2.60211350e-02 2.26272367e-02 1.82910487e-02\n", - " 1.38401426e-02 9.85110493e-03 6.62093111e-03 4.21477956e-03\n", - " 2.54785040e-03 1.46584558e-03 8.04203081e-04 4.21386475e-04\n", - " 2.10930076e-04 1.00231528e-04 4.32704570e-05 1.19290695e-05]\n", - " [2.95307410e-03 8.41036020e-03 1.26347941e-02 1.51432348e-02\n", - " 1.58378583e-02 1.49706457e-02 1.30180465e-02 1.05233230e-02\n", - " 7.96259931e-03 5.66760067e-03 3.80919642e-03 2.42487392e-03\n", - " 1.46584558e-03 8.43339650e-04 4.62679258e-04 2.42434761e-04\n", - " 1.21353640e-04 5.76658437e-05 2.48946360e-05 6.86310854e-06]\n", - " [1.62013743e-03 4.61415423e-03 6.93179449e-03 8.30799388e-03\n", - " 8.68908336e-03 8.21330676e-03 7.14205726e-03 5.77338359e-03\n", - " 4.36850033e-03 3.10940114e-03 2.08982961e-03 1.33035233e-03\n", - " 8.04203081e-04 4.62679258e-04 2.53838528e-04 1.33006358e-04\n", - " 6.65779344e-05 3.16370632e-05 1.36578799e-05 3.76528954e-06]\n", - " [8.48919901e-04 2.41772537e-03 3.63212293e-03 4.35322413e-03\n", - " 4.55290746e-03 4.30360996e-03 3.74229645e-03 3.02513857e-03\n", - " 2.28900759e-03 1.62926457e-03 1.09502929e-03 6.97078252e-04\n", - " 4.21386475e-04 2.42434761e-04 1.33006358e-04 6.96926953e-05\n", - " 3.48855181e-05 1.65771940e-05 7.15645839e-06 1.97293709e-06]\n", - " [4.24937081e-04 1.21022155e-03 1.81810288e-03 2.17905877e-03\n", - " 2.27901267e-03 2.15422380e-03 1.87325156e-03 1.51426955e-03\n", - " 1.14579032e-03 8.15548004e-04 5.48130103e-04 3.48930915e-04\n", - " 2.10930076e-04 1.21353640e-04 6.65779344e-05 3.48855181e-05\n", - " 1.74623662e-05 8.29791415e-06 3.58225145e-06 9.87577426e-07]\n", - " [2.01925178e-04 5.75083262e-04 8.63941426e-04 1.03546348e-03\n", - " 1.08296042e-03 1.02366219e-03 8.90147442e-04 7.19563348e-04\n", - " 5.44466287e-04 3.87538964e-04 2.60465075e-04 1.65807929e-04\n", - " 1.00231528e-04 5.76658437e-05 3.16370632e-05 1.65771940e-05\n", - " 8.29791415e-06 3.94307268e-06 1.70224439e-06 4.69285352e-07]\n", - " [8.71721193e-05 2.48266349e-04 3.72967877e-04 4.47014816e-04\n", - " 4.67519482e-04 4.41920139e-04 3.84281146e-04 3.10639131e-04\n", - " 2.35048846e-04 1.67302528e-04 1.12444088e-04 7.15801202e-05\n", - " 4.32704570e-05 2.48946360e-05 1.36578799e-05 7.15645839e-06\n", - " 3.58225145e-06 1.70224439e-06 7.34867500e-07 2.02592857e-07]\n", - " [2.40321537e-05 6.84436157e-05 1.02822111e-04 1.23235833e-04\n", - " 1.28888687e-04 1.21831301e-04 1.05941024e-04 8.56389336e-05\n", - " 6.47997321e-05 4.61230046e-05 3.09992877e-05 1.97336541e-05\n", - " 1.19290695e-05 6.86310854e-06 3.76528954e-06 1.97293709e-06\n", - " 9.87577426e-07 4.69285352e-07 2.02592857e-07 5.58520626e-08]]\n" + " 9.93585490e-02 7.07211972e-02 4.75317328e-02 3.02579187e-02\n", + " 1.82909473e-02 1.05230345e-02 5.77258858e-03 3.02302238e-03\n", + " 1.50883301e-03 7.06100867e-04 2.78548446e-04 0.00000000e+00]\n", + " [2.78821775e-02 7.94084904e-02 1.19294525e-01 1.42978587e-01\n", + " 1.49537046e-01 1.41349044e-01 1.22913097e-01 9.93585501e-02\n", + " 7.51808447e-02 5.35120470e-02 3.59654590e-02 2.28950192e-02\n", + " 1.38400659e-02 7.96238097e-03 4.36789879e-03 2.28740635e-03\n", + " 1.14167670e-03 5.34279739e-04 2.10767042e-04 0.00000000e+00]\n", + " [1.98459125e-02 5.65211936e-02 8.49111840e-02 1.01768972e-01\n", + " 1.06437136e-01 1.00609099e-01 8.74868028e-02 7.07212015e-02\n", + " 5.35120497e-02 3.80886824e-02 2.55994121e-02 1.62961644e-02\n", + " 9.85105048e-03 5.66744531e-03 3.10897301e-03 1.62812486e-03\n", + " 8.12620028e-04 3.80288410e-04 1.50019283e-04 0.00000000e+00]\n", + " [1.33384455e-02 3.79879160e-02 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7.87564166e-08 4.12436130e-08\n", + " 2.05852676e-08 9.63345528e-09 3.80028425e-09 0.00000000e+00]]\n" ] } ], "source": [ - "row = 20\n", + "row = 22\n", "col = 20\n", "domain_row = row\n", "domain_col = col\n", @@ -452,12 +472,12 @@ }, { "cell_type": "code", - "execution_count": 243, + "execution_count": 264, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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