TP-equation-derivees-partie.../TP-EDP.ipynb
Laureηt a8ed5dc7ec
WAT
2022-03-16 15:44:49 +01:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 158,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import mpl_toolkits.mplot3d\n",
"import numpy as np\n",
"import scipy.sparse as scps\n",
"import scipy.sparse.linalg as ssl\n",
"import math"
]
},
{
"cell_type": "code",
"execution_count": 159,
"metadata": {},
"outputs": [],
"source": [
"def maillage_carre(n: int):\n",
" \"\"\"\n",
" Une discrétisation possible d'une EDP elliptique sur le domaine ]0,1[ x ]0,1[.\n",
" Le carre [0,1]x[0,1] est maille uniquement avec des triangles.\n",
" Les conditions limites sont de type Dirichlet uniquement -> `neumann=[]`.\n",
"\n",
" Args:\n",
" n (int): nombre de points par cote du care => Npts points de discretisation au total\n",
"\n",
" Returns:\n",
" coordinates : matrice a deux colonnes. Chaque ligne contient les coordonnes 2D d'un des points de la discretisation. Ces sommets seront identifies a l'indice de la ligne correspondante dans la matrice coordinates.\n",
" elements3 : matrice a trois colonnes. Chaque ligne contient les indices des sommets d'un element triangle, dans le sens antihoraire.\n",
" dirichlet : vecteur colonne des indices des sommets de la frontiere de Dirichlet.\n",
" neumann : matrice a deux colonnes. Chaque ligne contient les indices des deux sommets d'une arete de la frontiere de Neumann. (neumann est vide sur cet exemple)\n",
" \"\"\"\n",
"\n",
" h = 1 / (n - 1)\n",
" n_pts = n * n\n",
" n_elm = 2 * (n - 1) * (n - 1)\n",
" coordinates = np.zeros((n_pts, 2))\n",
" elements3 = np.zeros((n_elm, 3), dtype=int)\n",
" neumann = []\n",
" dirichlet = np.zeros((4 * n - 4, 1), dtype=int)\n",
"\n",
" # Coordonnees et connectivites :\n",
" e = -1\n",
" p = -1\n",
" x = np.zeros((n + 1, 1))\n",
" x[n, 0] = 1.0\n",
"\n",
" for l in range(n + 1):\n",
" x[l, 0] = l * h\n",
"\n",
" for j in range(n):\n",
" for i in range(n):\n",
" p = p + 1\n",
" coordinates[p, 0] = x[i, 0]\n",
" coordinates[p, 1] = x[j, 0]\n",
" if (i != n - 1) & (j != n - 1):\n",
" p1 = p\n",
" p2 = p1 + 1\n",
" p3 = p1 + n\n",
" p4 = p2 + n\n",
" e = e + 1\n",
" elements3[e, 0] = p1\n",
" elements3[e, 1] = p2\n",
" elements3[e, 2] = p3\n",
" e = e + 1\n",
" elements3[e, 0] = p4\n",
" elements3[e, 1] = p3\n",
" elements3[e, 2] = p2\n",
"\n",
" # Liste des sommets de la frontiere de Dirichlet:\n",
" p = -1\n",
" for j in range(n):\n",
" p = p + 1\n",
" dirichlet[p, 0] = j\n",
"\n",
" for j in range(n * 2 - 1, n * (n - 1), n):\n",
" p = p + 1\n",
" dirichlet[p, 0] = j\n",
"\n",
" for j in range(n * n - 1, n * n - n - 1, -1):\n",
" p = p + 1\n",
" dirichlet[p, 0] = j\n",
"\n",
" for j in range(n * n - 2 * n, n - 1, -n):\n",
" p = p + 1\n",
" dirichlet[p, 0] = j\n",
"\n",
" return coordinates, elements3, dirichlet, neumann\n"
]
},
{
"cell_type": "code",
"execution_count": 160,
"metadata": {},
"outputs": [],
"source": [
"def show(coordinates, u) -> None:\n",
" \"\"\"Fonction d'affichage de la solution u sur le maillage defini par elements3, coordinates.\n",
"\n",
" Args:\n",
" elements3 : matrice a trois colonnes contenant les elements triangles de la discretisation, identifies par les indices de leurs trois sommets.\n",
" coordinates : matrice a deux colonnes contenant les coordonnes 2D des points de la discretisation.\n",
" u : vecteur colonne de longueur egale au nombre de lignes de coordinates contenant les valeurs de la solution a afficher aux points de la discretisation.\n",
"\n",
" Returns:\n",
" None, plots a figure\n",
" \"\"\"\n",
"\n",
" ax = plt.figure().add_subplot(projection=\"3d\")\n",
" ax.plot_trisurf(\n",
" coordinates[:, 0], coordinates[:, 1], u, linewidth=0.2, antialiased=True\n",
" )\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Partie I : maillage triangulaire et conditions de Dirichlet**\n"
]
},
{
"cell_type": "code",
"execution_count": 161,
"metadata": {},
"outputs": [],
"source": [
"def f(x, y):\n",
" # return 2 * np.pi ** 2 * np.sin(np.pi * x) * np.sin(np.pi * y)\n",
" try:\n",
" return np.ones(x.shape[0])\n",
" except:\n",
" return 1\n",
"\n",
"\n",
"def u_ex(x, y):\n",
" return np.sin(np.pi * x) * np.sin(np.pi * y)\n",
"\n",
"\n",
"def u_d(x, y):\n",
" # return np.zeros(x.shape[0])\n",
" # return 1\n",
" return np.ones(x.shape[0])\n",
"\n",
"def g(x):\n",
" # return np.cos(x)\n",
" return 1"
]
},
{
"cell_type": "code",
"execution_count": 162,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n = 10\n",
"coords, elems3, dirichlet, neumann = maillage_carre(n)\n",
"show(coords, f(coords[:, 0], coords[:, 1]))\n",
"# show(coords, u_ex(coords[:, 0], coords[:, 1]))\n",
"# print(maillage_carre(3))"
]
},
{
"cell_type": "code",
"execution_count": 163,
"metadata": {},
"outputs": [],
"source": [
"def raideur(triangle):\n",
" M = np.zeros((3, 3))\n",
" x = triangle[:, 0]\n",
" y = triangle[:, 1]\n",
"\n",
" # calcul de alpha\n",
" mat_alpha = np.array(\n",
" [\n",
" [x[1] - x[0], x[2] - x[0]],\n",
" [y[1] - y[0], y[2] - y[0]]\n",
" ]\n",
" )\n",
" alpha = np.linalg.det(mat_alpha)\n",
"\n",
"\n",
" for i in range(3):\n",
" grad_eta_i = np.array(\n",
" [\n",
" y[(i+1)%3] - y[(i+2)%3],\n",
" x[(i+2)%3] - x[(i+1)%3]\n",
" ]\n",
" )\n",
" for j in range(3):\n",
" grad_eta_j = np.array(\n",
" [\n",
" y[(j+1)%3] - y[(j+2)%3],\n",
" x[(j+2)%3] - x[(j+1)%3]\n",
" ]\n",
" )\n",
"\n",
" M[i, j] = np.dot(grad_eta_i, grad_eta_j)\n",
"\n",
" return M / alpha / 2"
]
},
{
"cell_type": "code",
"execution_count": 164,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def assemblage(coords, elems3):\n",
" Ns = len(coords)\n",
" A = np.zeros((Ns, Ns))\n",
" for triangle in elems3:\n",
" M = raideur(coords[triangle])\n",
" for i, a in enumerate(triangle):\n",
" for j, b in enumerate(triangle):\n",
" A[a, b] += M[i, j]\n",
" return A\n",
"\n",
"\n",
"def second_membre(coords, elem3, f):\n",
" Ns = len(coords)\n",
" b = np.zeros(Ns)\n",
" for triangle in elem3:\n",
" coords_triangle = coords[triangle]\n",
" centre = np.mean(coords_triangle, 0)\n",
"\n",
" # calcul de alpha\n",
" x = coords_triangle[:, 0]\n",
" y = coords_triangle[:, 1]\n",
" mat_alpha = np.array([[x[1] - x[0], x[2] - x[0]], [y[1] - y[0], y[2] - y[0]]])\n",
" alpha = np.linalg.det(mat_alpha)\n",
"\n",
" b[triangle] += alpha / 6 * f(centre[0], centre[1])\n",
"\n",
" return b\n",
"\n",
"\n",
"def calcul_Ud(coords, dirichlet):\n",
" Ns = len(coords)\n",
" U = np.zeros(Ns)\n",
" # for d in dirichlet:\n",
" # x, y = coords[d].flatten()\n",
" # U[d] = u_d(x, y)\n",
" U[dirichlet.T] = u_d(coords[dirichlet, 0], coords[dirichlet, 1])\n",
"\n",
" return U\n",
"\n",
"\n",
"def tildage(A, b, coords, dirichlet):\n",
" A_tild = np.delete(A, dirichlet, 0)\n",
" A_tild = np.delete(A_tild, dirichlet, 1)\n",
" b_tild = np.delete(b, dirichlet, 0)\n",
" coords_tild = np.delete(coords, dirichlet, 0)\n",
"\n",
" return A_tild, b_tild, coords_tild\n",
"\n",
"\n",
"def untildage(x, dirichlet, U_d):\n",
" x_untild = np.zeros(U_d.shape[0])\n",
" not_dirichlet = np.setdiff1d(range(U_d.shape[0]), dirichlet)\n",
"\n",
" # print(x_untild)\n",
" # print(not_dirichlet)\n",
" # print(dirichlet)\n",
" # print(x)\n",
"\n",
" x_untild[dirichlet] = U_d[dirichlet]\n",
" x_untild[not_dirichlet] = x\n",
"\n",
" return x_untild\n",
"\n",
"n = 50\n",
"coords, elems3, dirichlet, neumann = maillage_carre(n)\n",
"\n",
"A = assemblage(coords, elems3)\n",
"b = second_membre(coords, elems3, f)\n",
"U_d = calcul_Ud(coords, dirichlet)\n",
"b -= np.dot(A, U_d)\n",
"\n",
"A_tild, b_tild, coords_tild = tildage(A, b, coords, dirichlet)\n",
"\n",
"x = np.linalg.solve(A_tild, b_tild)\n",
"x_untild = untildage(x, dirichlet, U_d)\n",
"\n",
"# show(coords_tild, x)\n",
"# print(coords.shape, x_untild.shape)\n",
"# print(coords, x_untild)\n",
"show(coords, x_untild)\n",
"show(coords, u_ex(coords[:, 0], coords[:, 1]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Partie II : maillage mixte et ajoût des conditions de Neumann**\n"
]
},
{
"cell_type": "code",
"execution_count": 165,
"metadata": {},
"outputs": [],
"source": [
"e3 = np.array(\n",
" [[1, 2, 12], [2, 3, 12], [3, 4, 14], [4, 5, 14], [2, 15, 3], [3, 15, 4]]\n",
").astype(int)\n",
"\n",
"e4 = np.array(\n",
" [\n",
" [0, 1, 12, 11],\n",
" [11, 12, 13, 10],\n",
" [12, 3, 14, 13],\n",
" [10, 13, 8, 9],\n",
" [13, 14, 7, 8],\n",
" [14, 5, 6, 7],\n",
" ]\n",
").astype(int)\n",
"\n",
"dds = np.array([2, 15, 4, 6, 7, 8, 9, 10, 11, 0]).astype(int)\n",
"\n",
"nns = np.array([[4, 5], [5, 6], [0, 1], [1, 2]]).astype(int)\n",
"\n",
"ccs = np.array(\n",
" [\n",
" [0.0, 0.0],\n",
" [1 / 3, 0],\n",
" [0.53333333333333, 0.0],\n",
" [2 / 3, 1 / 3],\n",
" [1.0, 0.47],\n",
" [1, 2 / 3],\n",
" [1.0, 1.0],\n",
" [2 / 3, 1.0],\n",
" [1 / 3, 1.0],\n",
" [0.0, 1.0],\n",
" [0.0, 2 / 3],\n",
" [0.0, 1 / 3],\n",
" [1 / 3, 1 / 3],\n",
" [1 / 3, 2 / 3],\n",
" [2 / 3, 2 / 3],\n",
" [1.0, 0.0],\n",
" ]\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 166,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.66666667, -0.16666667, -0.33333333, -0.16666667],\n",
" [-0.16666667, 0.66666667, -0.16666667, -0.33333333],\n",
" [-0.33333333, -0.16666667, 0.66666667, -0.16666667],\n",
" [-0.16666667, -0.33333333, -0.16666667, 0.66666667]])"
]
},
"execution_count": 166,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def raideur_quadrangle(quadrangle):\n",
" x = quadrangle[:, 0]\n",
" y = quadrangle[:, 1]\n",
"\n",
" # calcul de la jacobienne\n",
" J_kk = np.array([[x[1] - x[0], x[3] - x[0]], [y[1] - y[0], y[3] - y[0]]])\n",
"\n",
" det_J_kk = np.linalg.det(J_kk)\n",
"\n",
" # on récupère les coefficients\n",
" coeffs = np.linalg.inv(np.matmul(J_kk.T, J_kk))\n",
" a = coeffs[0, 0]\n",
" b = coeffs[0, 1]\n",
" c = coeffs[1, 1]\n",
"\n",
" # on calcul M (on a calculé toutes les intégrales au préalable)\n",
" M = np.array(\n",
" [\n",
" [2 * a + 3 * b + 2 * c, -2 * a + c, -a - 3 * b - c, a - 2 * c],\n",
" [-2 * a + c, 2 * a - 3 * b + 2 * c, a - 2 * c, -a + 3 * b - c],\n",
" [-a - 3 * b - c, a - 2 * c, 2 * a + 3 * b + 2 * c, -2 * a + c],\n",
" [a - 2 * c, -a + 3 * b - c, -2 * a + c, 2 * a - 3 * b + 2 * c],\n",
" ]\n",
" )\n",
"\n",
" return det_J_kk / 6 * M\n",
"\n",
"raideur_quadrangle(ccs[e4[0]])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Compléments d'analyse du système**\n"
]
},
{
"cell_type": "code",
"execution_count": 167,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[-0.30555556 1.63888889 -1.67777778 2.11685185 -1.69356874 1.65116133\n",
" -0.30555556 -0.94444444 -0.61111111 -0.30555556 -0.61111111 -0.94444444\n",
" 1.31296296 1.77777778 1.31777778 -0.35296296]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def assemblage_quadrangle(coords, elems4):\n",
" Ns = len(coords)\n",
" A = np.zeros((Ns, Ns))\n",
" for quadrangle in elems4:\n",
" M = raideur_quadrangle(coords[quadrangle])\n",
" for i, a in enumerate(quadrangle):\n",
" for j, b in enumerate(quadrangle):\n",
" A[a, b] += M[i, j]\n",
" return A\n",
"\n",
"def second_membre_quadrangle(coords, elem4, f):\n",
" Ns = len(coords)\n",
" b = np.zeros(Ns)\n",
" for quadrangle in elem4:\n",
" coords_triangle = coords[quadrangle]\n",
" centre = np.mean(coords_triangle, 0)\n",
"\n",
" # calcul de alpha\n",
" x = coords_triangle[:, 0]\n",
" y = coords_triangle[:, 1]\n",
" mat_alpha = np.array([[x[1] - x[0], x[2] - x[0]], [y[1] - y[0], y[2] - y[0]]])\n",
" alpha = np.linalg.det(mat_alpha)\n",
"\n",
" b[quadrangle] += alpha / 4 * f(centre[0], centre[1])\n",
"\n",
" return b\n",
"\n",
"def condition_neumann(ccs, nns):\n",
" Ns = len(ccs)\n",
" coeffs = np.zeros(Ns)\n",
" for i, j in nns:\n",
" point1 = ccs[i]\n",
" point2 = ccs[j]\n",
" \n",
" valeur = np.linalg.norm(point1 - point2) / 2 * g((point1 + point2) / 2)\n",
" coeffs[i] += valeur\n",
" coeffs[j] += valeur\n",
"\n",
" return coeffs\n",
"\n",
"#------------------------------------------------------------------------------------------------------------------------\n",
"\n",
"A3 = assemblage(ccs, e3)\n",
"A4 = assemblage_quadrangle(ccs, e4)\n",
"\n",
"b3 = second_membre(ccs, e3, f)\n",
"b4 = second_membre_quadrangle(ccs, e4, f)\n",
"\n",
"A = A3 + A4\n",
"b = b3 + b4\n",
"\n",
"# print(A)\n",
"\n",
"U_d = calcul_Ud(ccs, dds)\n",
"b -= np.dot(A, U_d)\n",
"b += condition_neumann(ccs, nns)\n",
"print(b)\n",
"\n",
"# print(b3)\n",
"# print(b4)\n",
"\n",
"# A_tild, b_tild, ccs_tild = tildage_quadrangle(A, b, ccs, dds, nns)\n",
"A_tild, b_tild, ccs_tild = tildage(A, b, ccs, dds)\n",
"\n",
"x = np.linalg.solve(A_tild, b_tild)\n",
"# print(x)\n",
"x_untild = untildage(x, dds, U_d)\n",
"\n",
"# print(A)\n",
"# print(b)\n",
"# print(U_d)\n",
"show(ccs, x_untild)\n",
"# show(ccs, u_ex(ccs[:, 0], ccs[:, 1]))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}