{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The burger equation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-05-09T09:23:02.941534Z",
     "start_time": "2017-05-09T09:23:01.965509Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import functools as ft\n",
    "import multiprocessing as mp\n",
    "import logging\n",
    "\n",
    "import numpy as np\n",
    "from scipy.signal import gaussian\n",
    "\n",
    "import pylab as pl\n",
    "\n",
    "from triflow import Model, Simulation, schemes, displays\n",
    "\n",
    "pl.style.use('seaborn-white')\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Burgers' equation is a fundamental partial differential equation occurring in various areas of applied mathematics, such as fluid mechanics, nonlinear acoustics, gas dynamics, traffic flow. It is named for Johannes Martinus Burgers (1895–1981). ([Wikipedia](https://en.wikipedia.org/wiki/Convection%E2%80%93diffusion_equation))\n",
    "\n",
    "The viscous Burger equation in 1D reads:\n",
    "$$\\partial_{t}U = k \\partial_{xx} U - U \\partial_{x} U$$\n",
    "\n",
    "with\n",
    "\n",
    "- $U$ the velocity\n",
    "- $k$ a diffusion convection\n",
    "\n",
    "The expected behaviour is a wave moving forward with a growing shock. This shock leads to discontinuity smoothed by the diffusion term."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-05-09T09:23:04.448242Z",
     "start_time": "2017-05-09T09:23:02.943884Z"
    },
    "collapsed": true,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "model = Model(\"k * dxxU - U * dxU\",\n",
    "              \"U\", \"k\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We discretize our spatial domain. `retstep=True` ask to return the spatial step. We want periodic condition,\n",
    "so `endpoint=True` exclude the final node (which will be redondant with the\n",
    "first node, $x=0$ and $x=100$ are merged)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-05-09T09:23:04.452968Z",
     "start_time": "2017-05-09T09:23:04.449925Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x, dx = np.linspace(0, 100, 500, retstep=True, endpoint=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We initialize with a simple gaussian pulse initial condition."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-05-09T09:23:04.674883Z",
     "start_time": "2017-05-09T09:23:04.454332Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2oAAAD1CAYAAAAh8wYAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc53d1b5550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "U = gaussian(x.size, 20) * 2\n",
    "            \n",
    "fields = model.fields_template(x=x, U=U)\n",
    "\n",
    "pl.figure(figsize=(15, 4))\n",
    "pl.plot(fields.x, fields.U)\n",
    "pl.xlim(0, fields.x.max())\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We precise our parameters. The default scheme provide an automatic time_stepping. We set the periodic flag to True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-05-09T09:23:04.681789Z",
     "start_time": "2017-05-09T09:23:04.677671Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "parameters = dict(k=1E-1, c=20, periodic=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-05-05T13:12:04.630245Z",
     "start_time": "2017-05-05T13:12:04.500514Z"
    }
   },
   "source": [
    "We initialize the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-05-09T09:23:04.703674Z",
     "start_time": "2017-05-09T09:23:04.683950Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t = 0\n",
    "simulation = Simulation(model, t, fields, parameters,\n",
    "                        dt=.1, tmax=5, tol=1E-4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We iterate on the simulation until the end."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-05-09T09:29:25.995496Z",
     "start_time": "2017-05-09T09:23:04.706002Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "t: 5                                                                            \r"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2IAAAI7CAYAAACOWSgZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc53c354550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl.figure(figsize=(15, 10))\n",
    "for i, (t, fields) in enumerate(simulation):\n",
    "    if i % 2 == 0:\n",
    "        pl.fill_between(fields.x, fields.U + .1 * (i + 1),\n",
    "                        fields.U.min() - 1,\n",
    "                        color='darkred', zorder=-2 * i, alpha=.7)\n",
    "        pl.plot(fields.x, fields.U + .1 * (i + 1), \n",
    "                color='white',\n",
    "                zorder=-(2 * i) + 1)\n",
    "    print(f\"t: {t:g}\".ljust(80), end='\\r')\n",
    "pl.xlim(0, fields.x.max())\n",
    "pl.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "_draft": {
   "nbviewer_url": "https://gist.github.com/d6966b1155fa102e6a77387dccaa8229"
  },
  "gist": {
   "data": {
    "description": "wave_equation.ipynb",
    "public": true
   },
   "id": "d6966b1155fa102e6a77387dccaa8229"
  },
  "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": "3.6.0"
  },
  "toc": {
   "colors": {
    "hover_highlight": "#DAA520",
    "running_highlight": "#FF0000",
    "selected_highlight": "#FFD700"
   },
   "moveMenuLeft": true,
   "nav_menu": {
    "height": "12px",
    "width": "252px"
   },
   "navigate_menu": true,
   "number_sections": true,
   "sideBar": true,
   "threshold": 4,
   "toc_cell": false,
   "toc_section_display": "block",
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
