From a02b7e63d4761be45d9b734ead61938f54b094db Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?F=C3=A9lix=20MARQUET?= <72651575+BreizhHardware@users.noreply.github.com> Date: Tue, 1 Apr 2025 09:59:15 +0200 Subject: [PATCH] update exercise 2: modify heat equation implementation in Jupyter notebook, adjust boundary conditions and enhance matrix construction --- .../TP Physique Equation de la chaleur.ipynb | 58 +++++++++++-------- 1 file changed, 34 insertions(+), 24 deletions(-) diff --git a/TP Physique Equation de la chaleur/TP Physique Equation de la chaleur.ipynb b/TP Physique Equation de la chaleur/TP Physique Equation de la chaleur.ipynb index 907c7be..f6976f2 100644 --- a/TP Physique Equation de la chaleur/TP Physique Equation de la chaleur.ipynb +++ b/TP Physique Equation de la chaleur/TP Physique Equation de la chaleur.ipynb @@ -102,8 +102,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-04-01T07:56:41.293277Z", - "start_time": "2025-04-01T07:56:41.240084Z" + "end_time": "2025-04-01T07:59:03.377422Z", + "start_time": "2025-04-01T07:59:03.319125Z" } }, "cell_type": "code", @@ -119,7 +119,7 @@ "b = np.zeros(N + 1)\n", "\n", "# Conditions aux bords\n", - "T0 = 2\n", + "T0 = -4\n", "T1 = 25\n", "\n", "# Remplissage de la matrice M\n", @@ -152,7 +152,8 @@ "print(f\"Solution T: {T}\")\n", "\n", "# Tracé de la solution\n", - "plt.plot(np.linspace(0, 1, N + 1), T)\n", + "plt.plot(T, label=\"Température\")\n", + "plt.xlabel(\"Temps (minutes)\")\n", "plt.ylabel(\"Température (°C)\")\n", "plt.title(\"Distribution de température\")\n", "plt.grid()\n", @@ -171,7 +172,7 @@ " [ 0. 0. 0. ... -2. 1. 0.]\n", " [ 0. 0. 0. ... 1. -2. 1.]\n", " [ 0. 0. 0. ... 0. 1. -2.]]\n", - "Matrice b: [ -2. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", + "Matrice b: [ 4. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", @@ -179,23 +180,32 @@ " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. -25.]\n", - "Solution T: [ 2.2254902 2.45098039 2.67647059 2.90196078 3.12745098 3.35294118\n", - " 3.57843137 3.80392157 4.02941176 4.25490196 4.48039216 4.70588235\n", - " 4.93137255 5.15686275 5.38235294 5.60784314 5.83333333 6.05882353\n", - " 6.28431373 6.50980392 6.73529412 6.96078431 7.18627451 7.41176471\n", - " 7.6372549 7.8627451 8.08823529 8.31372549 8.53921569 8.76470588\n", - " 8.99019608 9.21568627 9.44117647 9.66666667 9.89215686 10.11764706\n", - " 10.34313725 10.56862745 10.79411765 11.01960784 11.24509804 11.47058824\n", - " 11.69607843 11.92156863 12.14705882 12.37254902 12.59803922 12.82352941\n", - " 13.04901961 13.2745098 13.5 13.7254902 13.95098039 14.17647059\n", - " 14.40196078 14.62745098 14.85294118 15.07843137 15.30392157 15.52941176\n", - " 15.75490196 15.98039216 16.20588235 16.43137255 16.65686275 16.88235294\n", - " 17.10784314 17.33333333 17.55882353 17.78431373 18.00980392 18.23529412\n", - " 18.46078431 18.68627451 18.91176471 19.1372549 19.3627451 19.58823529\n", - " 19.81372549 20.03921569 20.26470588 20.49019608 20.71568627 20.94117647\n", - " 21.16666667 21.39215686 21.61764706 21.84313725 22.06862745 22.29411765\n", - " 22.51960784 22.74509804 22.97058824 23.19607843 23.42156863 23.64705882\n", - " 23.87254902 24.09803922 24.32352941 24.54901961 24.7745098 ]\n" + "Solution T: [-3.71568627e+00 -3.43137255e+00 -3.14705882e+00 -2.86274510e+00\n", + " -2.57843137e+00 -2.29411765e+00 -2.00980392e+00 -1.72549020e+00\n", + " -1.44117647e+00 -1.15686275e+00 -8.72549020e-01 -5.88235294e-01\n", + " -3.03921569e-01 -1.96078431e-02 2.64705882e-01 5.49019608e-01\n", + " 8.33333333e-01 1.11764706e+00 1.40196078e+00 1.68627451e+00\n", + " 1.97058824e+00 2.25490196e+00 2.53921569e+00 2.82352941e+00\n", + " 3.10784314e+00 3.39215686e+00 3.67647059e+00 3.96078431e+00\n", + " 4.24509804e+00 4.52941176e+00 4.81372549e+00 5.09803922e+00\n", + " 5.38235294e+00 5.66666667e+00 5.95098039e+00 6.23529412e+00\n", + " 6.51960784e+00 6.80392157e+00 7.08823529e+00 7.37254902e+00\n", + " 7.65686275e+00 7.94117647e+00 8.22549020e+00 8.50980392e+00\n", + " 8.79411765e+00 9.07843137e+00 9.36274510e+00 9.64705882e+00\n", + " 9.93137255e+00 1.02156863e+01 1.05000000e+01 1.07843137e+01\n", + " 1.10686275e+01 1.13529412e+01 1.16372549e+01 1.19215686e+01\n", + " 1.22058824e+01 1.24901961e+01 1.27745098e+01 1.30588235e+01\n", + " 1.33431373e+01 1.36274510e+01 1.39117647e+01 1.41960784e+01\n", + " 1.44803922e+01 1.47647059e+01 1.50490196e+01 1.53333333e+01\n", + " 1.56176471e+01 1.59019608e+01 1.61862745e+01 1.64705882e+01\n", + " 1.67549020e+01 1.70392157e+01 1.73235294e+01 1.76078431e+01\n", + " 1.78921569e+01 1.81764706e+01 1.84607843e+01 1.87450980e+01\n", + " 1.90294118e+01 1.93137255e+01 1.95980392e+01 1.98823529e+01\n", + " 2.01666667e+01 2.04509804e+01 2.07352941e+01 2.10196078e+01\n", + " 2.13039216e+01 2.15882353e+01 2.18725490e+01 2.21568627e+01\n", + " 2.24411765e+01 2.27254902e+01 2.30098039e+01 2.32941176e+01\n", + " 2.35784314e+01 2.38627451e+01 2.41470588e+01 2.44313725e+01\n", + " 2.47156863e+01]\n" ] }, { @@ -203,13 +213,13 @@ "text/plain": [ "
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" 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" }, "metadata": {}, "output_type": "display_data" } ], - "execution_count": 7 + "execution_count": 9 } ], "metadata": {