summaryrefslogtreecommitdiff
path: root/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/Curl and conservative fields/CurlTheorem_file4_vortex-streamplot.ipynb
blob: 81f17a57e407036f50df8ce968ce2529ccef7b45 (plain)
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/padmapriya/.local/lib/python3.6/site-packages/ipykernel_launcher.py:4: RuntimeWarning: invalid value encountered in true_divide\n",
      "  after removing the cwd from sys.path.\n",
      "/home/padmapriya/.local/lib/python3.6/site-packages/ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in true_divide\n",
      "  \"\"\"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "Y,X = np.mgrid[-10:10:.01, -10:10:.01]\n",
    "U = -Y/(X**2 + Y**2)\n",
    "V = X/(X**2 + Y**2)\n",
    "plt.streamplot(X,Y, U,V, density=1)\n",
    "plt.savefig('vortex_streamplot.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/padmapriya/.local/lib/python3.6/site-packages/ipykernel_launcher.py:4: RuntimeWarning: invalid value encountered in true_divide\n",
      "  after removing the cwd from sys.path.\n",
      "/home/padmapriya/.local/lib/python3.6/site-packages/ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in true_divide\n",
      "  \"\"\"\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "Y,X = np.mgrid[-10:10:.01, -10:10:.01]\n",
    "U = -Y/(X**2 + Y**2)\n",
    "V = X/(X**2 + Y**2)\n",
    "plt.quiver(X,Y, U,V)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}