{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "x0 = -2\n",
    "y0 = -2\n",
    "x1 = +2\n",
    "y1 = +2\n",
    "Nx = 20\n",
    "Ny = 20\n",
    "\n",
    "x = np.linspace(x0,x1,Nx)\n",
    "y = np.linspace(y0,y1,Ny)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "rx, ry = np.meshgrid(x,y,indexing='ij')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "T = np.zeros((Nx,Ny),float)\n",
    "for i in range(Nx):\n",
    "    for j in range(Ny):\n",
    "        T[i,j] = (np.sin(rx[i,j]))*np.exp(-ry[i,j])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.contour.QuadContourSet at 0x7fe428145a50>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "plt.contour(rx,ry,T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "vx = np.zeros((Nx,Ny),float)\n",
    "vy = np.zeros((Nx,Ny),float)\n",
    "for i in range(Nx):\n",
    "    for j in range(Ny):\n",
    "        rnorm = np.sqrt(rx[i,j]**2+ry[i,j]**2)\n",
    "        vx[i,j] = -ry[i,j]/rnorm\n",
    "        vy[i,j] = rx[i,j]/rnorm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.quiver.Quiver at 0x7fe4282346d0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "plt.quiver(rx,ry,vx,vy)"
   ]
  },
  {
   "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
