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NuFI_deal.ii/plotting.ipynb
T

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "7a3ed0a3-d3a2-480b-b709-294d0ef8df12",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import pyvista as pv\n",
"from pyvista.trame.jupyter import launch_server\n",
"await launch_server().ready\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "3da886f4-3d0c-41f9-8a63-b6b6b1603fb0",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "aa88a047e54c4ea7befbb1b0f6e71ec6",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Widget(value='<iframe src=\"http://localhost:37563/index.html?ui=P_0x7901e7af86e0_0&reconnect=auto\" class=\"pyvi…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<table style='width: 100%;'><tr><th>Header</th><th>Data Arrays</th></tr><tr><td>\n",
"<table style='width: 100%;'>\n",
"<tr><th>UnstructuredGrid</th><th>Information</th></tr>\n",
"<tr><td>N Cells</td><td>128</td></tr>\n",
"<tr><td>N Points</td><td>256</td></tr>\n",
"<tr><td>X Bounds</td><td>0.000e+00, 1.200e+01</td></tr>\n",
"<tr><td>Y Bounds</td><td>0.000e+00, 0.000e+00</td></tr>\n",
"<tr><td>Z Bounds</td><td>0.000e+00, 0.000e+00</td></tr>\n",
"<tr><td>N Arrays</td><td>3</td></tr>\n",
"</table>\n",
"\n",
"</td><td>\n",
"<table style='width: 100%;'>\n",
"<tr><th>Name</th><th>Field</th><th>Type</th><th>N Comp</th><th>Min</th><th>Max</th></tr>\n",
"<tr><td>electric_field</td><td>Points</td><td>float64</td><td>3</td><td>-2.558e-02</td><td>1.441e-02</td></tr>\n",
"<tr><td><b>potential</b></td><td>Points</td><td>float64</td><td>1</td><td>0.000e+00</td><td>1.167e-01</td></tr>\n",
"<tr><td>x_coordinate</td><td>Points</td><td>float64</td><td>1</td><td>0.000e+00</td><td>1.200e+01</td></tr>\n",
"</table>\n",
"\n",
"</td></tr> </table>"
],
"text/plain": [
"UnstructuredGrid (0x7901e7e77ee0)\n",
" N Cells: 128\n",
" N Points: 256\n",
" X Bounds: 0.000e+00, 1.200e+01\n",
" Y Bounds: 0.000e+00, 0.000e+00\n",
" Z Bounds: 0.000e+00, 0.000e+00\n",
" N Arrays: 3"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mesh = pv.read('electric_field.vtk')\n",
"mesh2 = pv.read(\"density.vtk\")\n",
"mesh.plot()\n",
"mesh"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "1afe894f-2ad8-4cd3-aabb-ea5afec8627e",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 700x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 700x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 700x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"arr_x = np.array(mesh.point_data[\"x_coordinate\"])\n",
"arr_e_field = np.array(mesh.point_data[\"electric_field\"])[:,0]\n",
"arr_potential = np.array(mesh.point_data[\"potential\"])\n",
"arr_density = np.array(mesh2.point_data[\"density\"])\n",
"\n",
"# Electric field plot\n",
"plt.figure(figsize=(7, 4))\n",
"plt.scatter(arr_x, arr_e_field, s=15, alpha=0.7)\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"E(x)\")\n",
"plt.title(\"Electric Field\")\n",
"plt.grid(True, linestyle=\"--\", linewidth=0.5, alpha=0.6)\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"# Potential plot\n",
"plt.figure(figsize=(7, 4))\n",
"plt.scatter(arr_x, arr_potential, s=15, alpha=0.7)\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"Potential\")\n",
"plt.title(\"Electric Potential\")\n",
"plt.grid(True, linestyle=\"--\", linewidth=0.5, alpha=0.6)\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"# Potential plot\n",
"plt.figure(figsize=(7, 4))\n",
"plt.scatter(arr_x, arr_density, s=15, alpha=0.7)\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(r\"$\\rho(x)$\")\n",
"plt.title(\"Charge Density\")\n",
"plt.grid(True, linestyle=\"--\", linewidth=0.5, alpha=0.6)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "fa13d163-2e35-45a5-9c7e-68608c6e8140",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.13.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}