{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Lets have matplotlib \"inline\"\n",
    "%matplotlib inline\n",
    "\n",
    "# Add line profiler\n",
    "%load_ext line_profiler\n",
    "\n",
    "#Import packages we need\n",
    "import numpy as np\n",
    "from matplotlib import animation, rc\n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.colorbar import ColorbarBase\n",
    "\n",
    "from IPython.display import display, HTML\n",
    "\n",
    "from enum import Enum\n",
    "import subprocess\n",
    "import time\n",
    "import os\n",
    "import gc\n",
    "import datetime\n",
    "import importlib\n",
    "import logging\n",
    "import netCDF4\n",
    "import json\n",
    "\n",
    "import pycuda.driver as cuda\n",
    "import pycuda.compiler\n",
    "\n",
    "try:\n",
    "    from StringIO import StringIO\n",
    "except ImportError:\n",
    "    from io import StringIO\n",
    "\n",
    "from GPUSimulators import Common, IPythonMagic\n",
    "from GPUSimulators.EE2D_KP07_dimsplit import EE2D_KP07_dimsplit\n",
    "from GPUSimulators.helpers import InitialConditions, Visualization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Console logger using level INFO\n",
      "File logger using level DEBUG to test_schemes.log\n",
      "Python version 3.6.7 |Anaconda custom (64-bit)| (default, Oct 28 2018, 19:44:12) [MSC v.1915 64 bit (AMD64)]\n"
     ]
    }
   ],
   "source": [
    "%setup_logging --out test_schemes.log"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Registering my_context in user workspace\n",
      "PyCUDA version 2018.1.1\n",
      "CUDA version (10, 0, 0)\n",
      "Driver version 10000\n",
      "Using 'GeForce 840M' GPU\n",
      "Created context handle <346033291232>\n",
      "Using CUDA cache dir c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\GPUSimulators\\cuda_cache\n"
     ]
    }
   ],
   "source": [
    "%cuda_context_handler --no_autotuning my_context "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Set large figure sizes as default\n",
    "rc('figure', figsize=(16.0, 12.0))\n",
    "rc('animation', html='html5')\n",
    "rc('animation', bitrate=1800)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plotVars(rho, rho_u, rho_v, E):\n",
    "    plt.figure()\n",
    "    plt.subplot(1,4,1)\n",
    "    plt.imshow(rho, origin='bottom')\n",
    "    plt.colorbar(orientation='horizontal', pad=0.02, shrink=0.9)\n",
    "\n",
    "    plt.subplot(1,4,2)\n",
    "    plt.imshow(rho_u, origin='bottom')\n",
    "    plt.colorbar(orientation='horizontal', pad=0.02, shrink=0.9)\n",
    "\n",
    "    plt.subplot(1,4,3)\n",
    "    plt.imshow(rho_v, origin='bottom')\n",
    "    plt.colorbar(orientation='horizontal', pad=0.02, shrink=0.9)\n",
    "\n",
    "    plt.subplot(1,4,4)\n",
    "    plt.imshow(E, origin='bottom')\n",
    "    plt.colorbar(orientation='horizontal', pad=0.02, shrink=0.9)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def runSimulation(outfile, t_end, sim_args):\n",
    "    with Common.Timer(\"construct\") as t:\n",
    "        sim = EE2D_KP07_dimsplit(**sim_args)\n",
    "    print(\"Constructed in \" + str(t.secs) + \" seconds\")\n",
    "\n",
    "    #Create netcdf file and simulate\n",
    "    with Common.DataDumper(outfile, mode='w', clobber=False) as outdata:\n",
    "        outdata.ncfile.createDimension('time', None)\n",
    "        outdata.ncfile.createDimension('x', sim.nx)\n",
    "        outdata.ncfile.createDimension('y', sim.ny)\n",
    "\n",
    "        #Create variables\n",
    "        outdata.time_var  = outdata.ncfile.createVariable('time', np.dtype('float32').char, 'time')\n",
    "        outdata.x_var     = outdata.ncfile.createVariable('x',    np.dtype('float32').char, 'x')\n",
    "        outdata.y_var     = outdata.ncfile.createVariable('y',    np.dtype('float32').char, 'y')\n",
    "        outdata.rho_var   = outdata.ncfile.createVariable('rho',   np.dtype('float32').char, ('time', 'y', 'x'), zlib=True, least_significant_digit=3)\n",
    "        outdata.rho_u_var = outdata.ncfile.createVariable('rho_u', np.dtype('float32').char, ('time', 'y', 'x'), zlib=True, least_significant_digit=3)\n",
    "        outdata.rho_v_var = outdata.ncfile.createVariable('rho_v', np.dtype('float32').char, ('time', 'y', 'x'), zlib=True, least_significant_digit=3)\n",
    "        outdata.E_var     = outdata.ncfile.createVariable('E',     np.dtype('float32').char, ('time', 'y', 'x'), zlib=True, least_significant_digit=3)\n",
    "        \n",
    "        #Create attributes\n",
    "        def toJson(in_dict):\n",
    "            out_dict = in_dict.copy()\n",
    "\n",
    "            for key in out_dict:\n",
    "                if isinstance(out_dict[key], np.ndarray):\n",
    "                    out_dict[key] = out_dict[key].tolist()\n",
    "                else:\n",
    "                    try:\n",
    "                        json.dumps(out_dict[key])\n",
    "                    except:\n",
    "                        out_dict[key] = str(out_dict[key])\n",
    "\n",
    "            return json.dumps(out_dict)\n",
    "        outdata.ncfile.created = time.ctime(time.time())\n",
    "        outdata.ncfile.sim_args = toJson(sim_args)\n",
    "\n",
    "        outdata.x_var[:] = np.linspace(0, sim.nx*sim.dx, sim.nx)\n",
    "        outdata.y_var[:] = np.linspace(0, sim.ny*sim.dy, sim.ny)\n",
    "\n",
    "        progress_printer = Common.ProgressPrinter(n_save, print_every=10)\n",
    "        print(\"Simulating to t={:f}. Estimated {:d} timesteps (dt={:f})\".format(t_end, int(t_end / sim.dt), sim.dt))\n",
    "        for i in range(n_save+1):\n",
    "            #Sanity check simulator\n",
    "            try:\n",
    "                sim.check()\n",
    "            except AssertionError as e:\n",
    "                print(\"Error after {:d} steps (t={:f}: {:s}\".format(sim.simSteps(), sim.simTime(), str(e)))\n",
    "                return outdata.filename\n",
    "\n",
    "            #Simulate\n",
    "            if (i > 0):\n",
    "                sim.simulate(t_end/n_save)\n",
    "\n",
    "            #Save to file\n",
    "            #rho = sim.u0[0].download(sim.stream)\n",
    "            rho, rho_u, rho_v, E = sim.download()\n",
    "            outdata.time_var[i] = sim.simTime()\n",
    "            outdata.rho_var[i, :] = rho\n",
    "            outdata.rho_u_var[i, :] = rho_u\n",
    "            outdata.rho_v_var[i, :] = rho_v\n",
    "            outdata.E_var[i, :] = E\n",
    "\n",
    "            #Write progress to screen\n",
    "            print_string = progress_printer.getPrintString(i)\n",
    "            if (print_string):\n",
    "                print(print_string)\n",
    "\n",
    "    return outdata.filename   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "class VisType(Enum):\n",
    "    Schlieren = 0\n",
    "    Density = 1\n",
    "\n",
    "def createAnimation(infile, vis_type, vmin, vmax, save_anim=False, cmap=plt.cm.coolwarm, fig_args=None):\n",
    "    fig = plt.figure(**fig_args)\n",
    "    \n",
    "    with Common.DataDumper(infile, 'r') as indata:\n",
    "        time = indata.ncfile.variables['time'][:]\n",
    "        x = indata.ncfile.variables['x'][:]\n",
    "        y = indata.ncfile.variables['y'][:]\n",
    "        rho = indata.ncfile.variables['rho'][0]\n",
    "        rho_u = indata.ncfile.variables['rho_u'][0]\n",
    "        rho_v = indata.ncfile.variables['rho_v'][0]\n",
    "        \n",
    "        created = indata.ncfile.created\n",
    "        sim_args = json.loads(indata.ncfile.sim_args)\n",
    "        for key in sim_args:\n",
    "            if isinstance(sim_args[key], list):\n",
    "                sim_args[key] = \"[...]\"\n",
    "        num_frames = len(time)\n",
    "        print(\"{:s} created {:s} contains {:d} timesteps\".format(infile, created, num_frames))\n",
    "        print(\"Simulator arguments: \\n\", sim_args)\n",
    "\n",
    "        ax1 = fig.gca()\n",
    "        extents = [0, x.max(), 0, y.max()]\n",
    "        \n",
    "        if (vis_type == VisType.Schlieren):\n",
    "            im = ax1.imshow(Visualization.genColors(rho, rho_u, rho_v, cmap, vmax, vmin), origin='bottom', extent=extents, cmap='gray', vmin=0.0, vmax=1.0)\n",
    "            fig.suptitle(\"Schlieren / vorticity at t={:.2f}\".format(time[0]))\n",
    "        elif (vis_type == VisType.Density):\n",
    "            im = ax1.imshow(rho, origin='bottom', extent=extents, cmap=cmap, vmin=vmin, vmax=vmax)\n",
    "            fig.suptitle(\"Density at t={:.2f}\".format(time[0]))\n",
    "        else:\n",
    "            assert False, \"Wrong vis_type\"\n",
    "\n",
    "        #Create colorbar\n",
    "        from matplotlib.colors import Normalize\n",
    "        from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
    "        divider = make_axes_locatable(ax1)\n",
    "        ax2 = divider.append_axes(\"right\", size=0.1, pad=0.05)\n",
    "        cb1 = ColorbarBase(ax2, cmap=cmap,\n",
    "                            norm=Normalize(vmin=vmin, vmax=vmax),\n",
    "                            orientation='vertical')\n",
    "        \n",
    "        #Label colorbar\n",
    "        if (vis_type == VisType.Schlieren):\n",
    "            cb1.set_label('Vorticity')\n",
    "        elif (vis_type == VisType.Density):\n",
    "            cb1.set_label('Density')\n",
    "\n",
    "        progress_printer = Common.ProgressPrinter(num_frames, print_every=5)\n",
    "        \n",
    "        def animate(i):\n",
    "            rho = indata.ncfile.variables['rho'][i]\n",
    "            rho_u = indata.ncfile.variables['rho_u'][i]\n",
    "            rho_v = indata.ncfile.variables['rho_v'][i]\n",
    "            \n",
    "            if (vis_type == VisType.Schlieren):\n",
    "                im.set_data(Visualization.genColors(rho, rho_u, rho_v, cmap, vmax, vmin))\n",
    "                fig.suptitle(\"Schlieren / vorticity at t={:.2f}\".format(time[i]))\n",
    "            elif (vis_type == VisType.Density):\n",
    "                im.set_data(rho) \n",
    "                fig.suptitle(\"Density at t={:.2f}\".format(time[i]))\n",
    "            \n",
    "            #Write progress to screen\n",
    "            print_string = progress_printer.getPrintString(i)\n",
    "            if (print_string):\n",
    "                print(print_string)\n",
    "\n",
    "        anim = animation.FuncAnimation(fig, animate, interval=50, frames=range(num_frames))\n",
    "        plt.close()\n",
    "\n",
    "        if (save_anim):\n",
    "            root, _ = os.path.splitext(infile)\n",
    "            movie_outpath = os.path.abspath(root + \".mp4\")\n",
    "            if (os.path.isfile(movie_outpath)):\n",
    "                print(\"Reusing previously created movie \" + movie_outpath)\n",
    "            else:\n",
    "                print(\"Creating movie \" + movie_outpath)\n",
    "                #from matplotlib.animation import FFMpegFileWriter\n",
    "                #writer = FFMpegFileWriter(fps=25)\n",
    "                from matplotlib.animation import FFMpegWriter\n",
    "                writer = FFMpegWriter(fps=25)\n",
    "                anim.save(movie_outpath, writer=writer)\n",
    "            display(HTML(\"\"\"\n",
    "            <div align=\"middle\">\n",
    "            <video width=\"80%\" controls>\n",
    "                <source src=\"{:s}\" type=\"video/mp4\">\n",
    "            </video>\n",
    "            </div>\n",
    "            \"\"\".format(movie_outpath)))\n",
    "        else:\n",
    "            #plt.rcParams[\"animation.html\"] = \"html5\"\n",
    "            plt.rcParams[\"animation.html\"] = \"jshtml\"\n",
    "            display(anim)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Shock-bubble"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x5096d65048>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "[encoded data, 8524 characters]\n",
      "text/plain": [
       "<Figure size 1152x864 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx = 400\n",
    "arguments = InitialConditions.genShockBubble(nx, nx//4, 1.4)\n",
    "plt.figure()\n",
    "plt.imshow(Visualization.genSchlieren(arguments['rho']), cmap='gray')\n",
    "plt.colorbar(orientation='vertical', aspect=20, pad=0.02, shrink=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Writing output to c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_shock-bubble_0008.nc\n",
      "Opening c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_shock-bubble_0008.nc\n",
      "Keyword arguments: {'mode': 'w', 'clobber': False}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Constructed in 1.9076669216156006 seconds\n",
      "Simulating to t=0.500000. Estimated 1699 timesteps (dt=0.000294)\n",
      "0% [######################========] 100%. Total: 13s, elapsed: 10s, remaining: 3s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Closing c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_shock-bubble_0008.nc\n"
     ]
    }
   ],
   "source": [
    "nx = 800#1600\n",
    "ny = nx//4\n",
    "g = 0.0\n",
    "gamma = 1.4\n",
    "t_end = 0.5#3.0\n",
    "n_save = 20#500\n",
    "outfile = \"data/euler_shock-bubble.nc\"\n",
    "outdata = None\n",
    "\n",
    "arguments = InitialConditions.genShockBubble(nx, ny, gamma)\n",
    "arguments['context'] = my_context\n",
    "outfile = runSimulation(outfile, t_end, arguments)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Writing output to c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_shock-bubble_0008.nc\n",
      "Opening c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_shock-bubble_0008.nc\n",
      "Arguments: ('r',)\n",
      "Animation.save using <class 'matplotlib.animation.HTMLWriter'>\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_shock-bubble_0008.nc created Fri Nov  9 10:30:18 2018 contains 21 timesteps\n",
      "Simulator arguments: \n",
      " {'rho': '[...]', 'rho_u': '[...]', 'rho_v': '[...]', 'E': '[...]', 'nx': 800, 'ny': 200, 'dx': 0.005, 'dy': 0.005, 'dt': 0.0002942810861169262, 'g': 0.0, 'gamma': 1.4, 'boundary_conditions': '[north=Type.Reflective, south=Type.Reflective, east=Type.Periodic, west=Type.Periodic]', 'context': 'CudaContext id 346033291232'}\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
       "css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    document.getElementById(this.slider_id).max = this.frames.length - 1;\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<div class=\"animation\" align=\"center\">\n",
       "    <img id=\"_anim_imgd7b7d382c37b4995a153eb29cdd9925f\">\n",
       "    <br>\n",
       "    <input id=\"_anim_sliderd7b7d382c37b4995a153eb29cdd9925f\" type=\"range\" style=\"width:350px\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           onchange=\"animd7b7d382c37b4995a153eb29cdd9925f.set_frame(parseInt(this.value));\"></input>\n",
       "    <br>\n",
       "    <button onclick=\"animd7b7d382c37b4995a153eb29cdd9925f.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
       "    <button onclick=\"animd7b7d382c37b4995a153eb29cdd9925f.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
       "        </i></button>\n",
       "    <button onclick=\"animd7b7d382c37b4995a153eb29cdd9925f.previous_frame()\">\n",
       "        <i class=\"fa fa-step-backward\"></i></button>\n",
       "    <button onclick=\"animd7b7d382c37b4995a153eb29cdd9925f.reverse_animation()\">\n",
       "        <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "    <button onclick=\"animd7b7d382c37b4995a153eb29cdd9925f.pause_animation()\"><i class=\"fa fa-pause\">\n",
       "        </i></button>\n",
       "    <button onclick=\"animd7b7d382c37b4995a153eb29cdd9925f.play_animation()\"><i class=\"fa fa-play\"></i>\n",
       "        </button>\n",
       "    <button onclick=\"animd7b7d382c37b4995a153eb29cdd9925f.next_frame()\"><i class=\"fa fa-step-forward\">\n",
       "        </i></button>\n",
       "    <button onclick=\"animd7b7d382c37b4995a153eb29cdd9925f.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
       "        </i></button>\n",
       "    <button onclick=\"animd7b7d382c37b4995a153eb29cdd9925f.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
       "  <form action=\"#n\" name=\"_anim_loop_selectd7b7d382c37b4995a153eb29cdd9925f\" class=\"anim_control\">\n",
       "    <input type=\"radio\" name=\"state\"\n",
       "           value=\"once\" > Once </input>\n",
       "    <input type=\"radio\" name=\"state\"\n",
       "           value=\"loop\" checked> Loop </input>\n",
       "    <input type=\"radio\" name=\"state\"\n",
       "           value=\"reflect\" > Reflect </input>\n",
       "  </form>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_imgd7b7d382c37b4995a153eb29cdd9925f\";\n",
       "    var slider_id = \"_anim_sliderd7b7d382c37b4995a153eb29cdd9925f\";\n",
       "    var loop_select_id = \"_anim_loop_selectd7b7d382c37b4995a153eb29cdd9925f\";\n",
       "    var frames = new Array(21);\n",
       "    \n",
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       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        animd7b7d382c37b4995a153eb29cdd9925f = new Animation(frames, img_id, slider_id, 50.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x509889e630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Closing c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_shock-bubble_0008.nc\n"
     ]
    }
   ],
   "source": [
    "#outfile = 'data/euler_shock-bubble_0008.nc'\n",
    "createAnimation(outfile, vis_type=VisType.Schlieren, vmin=-0.2, vmax=0.2, cmap=plt.cm.RdBu, save_anim=False, fig_args={'figsize':(16, 5)})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kelvin-Helmholtz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x5098c6ad30>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "[encoded data, 8288 characters]\n",
      "text/plain": [
       "<Figure size 1152x864 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx = 400\n",
    "arguments = InitialConditions.genKelvinHelmholtz(nx, nx//4, 1.4)\n",
    "\n",
    "plt.figure()\n",
    "plt.imshow(arguments['rho'])\n",
    "plt.colorbar(orientation='vertical', aspect=20, pad=0.02, shrink=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Writing output to c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_kelvin_helmholtz_0004.nc\n",
      "Opening c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_kelvin_helmholtz_0004.nc\n",
      "Keyword arguments: {'mode': 'w', 'clobber': False}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Constructed in 0.00900578498840332 seconds\n",
      "Simulating to t=10.000000. Estimated 8998 timesteps (dt=0.001111)\n",
      "0% [############==================] 100%. Total: 25s, elapsed: 10s, remaining: 15s\n",
      "0% [#######################=======] 100%. Total: 26s, elapsed: 20s, remaining: 5s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Closing c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_kelvin_helmholtz_0004.nc\n"
     ]
    }
   ],
   "source": [
    "nx = 400\n",
    "ny = nx//2\n",
    "roughness = 0.125\n",
    "t_end = 10.0\n",
    "n_save = 100#1000\n",
    "outfile = \"data/euler_kelvin_helmholtz.nc\"\n",
    "outdata = None\n",
    "\n",
    "arguments = InitialConditions.genKelvinHelmholtz(nx, ny, gamma, roughness)\n",
    "arguments['context'] = my_context\n",
    "outfile = runSimulation(outfile, t_end, arguments)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Writing output to c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_kelvin_helmholtz_0004.nc\n",
      "Opening c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_kelvin_helmholtz_0004.nc\n",
      "Arguments: ('r',)\n",
      "Animation.save using <class 'matplotlib.animation.HTMLWriter'>\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_kelvin_helmholtz_0004.nc created Fri Nov  9 10:30:36 2018 contains 101 timesteps\n",
      "Simulator arguments: \n",
      " {'rho': '[...]', 'rho_u': '[...]', 'rho_v': '[...]', 'E': '[...]', 'nx': 400, 'ny': 200, 'dx': 0.005, 'dy': 0.005, 'dt': 0.001111278446818193, 'g': 0.0, 'gamma': 1.4, 'boundary_conditions': '[north=Type.Periodic, south=Type.Periodic, east=Type.Periodic, west=Type.Periodic]', 'context': 'CudaContext id 346033291232'}\n",
      "0% [########======================] 100%. Total: 19s, elapsed: 5s, remaining: 13s\n",
      "0% [################==============] 100%. Total: 19s, elapsed: 10s, remaining: 9s\n",
      "0% [########################======] 100%. Total: 19s, elapsed: 15s, remaining: 3s\n"
     ]
    },
    {
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    {
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     "output_type": "stream",
     "text": [
      "Closing c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_kelvin_helmholtz_0004.nc\n"
     ]
    }
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   "source": [
    "#outfile='data/euler_kelvin_helmholtz_0012.nc'\n",
    "createAnimation(outfile, vis_type=VisType.Density, vmin=1.0, vmax=2.0, save_anim=False, fig_args={'figsize':(16, 9)})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Rayleigh-Taylor\n",
    "\n",
    "* Liska and Wendroff, COMPARISON OF SEVERAL DIFFERENCE SCHEMES ON 1D AND 2D TEST PROBLEMS FOR THE EULER EQUATIONS, http://www-troja.fjfi.cvut.cz/~liska/CompareEuler/compare8.pdf\n",
    "* https://www.astro.princeton.edu/~jstone/Athena/tests/rt/rt.html\n",
    "* "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "[encoded data, 16668 characters]\n",
      "text/plain": [
       "<Figure size 1152x864 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx = 400\n",
    "arguments = InitialConditions.genRayleighTaylor(nx, nx*3, 1.4, version=0)\n",
    "plotVars(arguments['rho'], arguments['rho_u'], arguments['rho_v'], arguments['E'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Writing output to c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_rayleigh-taylor_0002.nc\n",
      "Opening c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_rayleigh-taylor_0002.nc\n",
      "Keyword arguments: {'mode': 'w', 'clobber': False}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Constructed in 0.01562356948852539 seconds\n",
      "Simulating to t=30.000000. Estimated 30697 timesteps (dt=0.000977)\n",
      "0% [####==========================] 100%. Total: 1m 26s, elapsed: 10s, remaining: 1m 16s\n",
      "0% [#######=======================] 100%. Total: 1m 26s, elapsed: 20s, remaining: 1m 6s\n",
      "0% [##########====================] 100%. Total: 1m 26s, elapsed: 30s, remaining: 56s\n",
      "0% [##############================] 100%. Total: 1m 27s, elapsed: 40s, remaining: 46s\n",
      "0% [#################=============] 100%. Total: 1m 27s, elapsed: 50s, remaining: 37s\n",
      "0% [#####################=========] 100%. Total: 1m 27s, elapsed: 1m, remaining: 27s\n",
      "0% [########################======] 100%. Total: 1m 28s, elapsed: 1m 10s, remaining: 17s\n",
      "0% [############################==] 100%. Total: 1m 28s, elapsed: 1m 20s, remaining: 7s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Closing c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_rayleigh-taylor_0002.nc\n"
     ]
    }
   ],
   "source": [
    "nx = 151\n",
    "ny = nx*3\n",
    "g = 0.1\n",
    "gamma = 1.4\n",
    "t_end = 30\n",
    "n_save = 300\n",
    "outfile = \"data/euler_rayleigh-taylor.nc\"\n",
    "outdata = None\n",
    "\n",
    "arguments = InitialConditions.genRayleighTaylor(nx, ny, gamma)\n",
    "arguments['context'] = my_context\n",
    "outfile = runSimulation(outfile, t_end, arguments)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Writing output to c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_rayleigh-taylor_0002.nc\n",
      "Opening c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_rayleigh-taylor_0002.nc\n",
      "Arguments: ('r',)\n",
      "Animation.save using <class 'matplotlib.animation.HTMLWriter'>\n",
      "figure size (inches) has been adjusted from 3.4 x 8.0 to 3.388888888888889 x 8.0\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c:\\Users\\anbro\\Documents\\projects\\GPUSimulators\\data\\euler_rayleigh-taylor_0002.nc created Fri Nov  9 10:31:24 2018 contains 301 timesteps\n",
      "Simulator arguments: \n",
      " {'rho': '[...]', 'rho_u': '[...]', 'rho_v': '[...]', 'E': '[...]', 'nx': 151, 'ny': 453, 'dx': 0.0033112582781456954, 'dy': 0.0033112582781456954, 'dt': 0.0009772880151828723, 'g': 0.1, 'gamma': 1.4, 'boundary_conditions': '[north=Type.Reflective, south=Type.Reflective, east=Type.Reflective, west=Type.Reflective]', 'context': 'CudaContext id 346033291232'}\n",
      "0% [########======================] 100%. Total: 19s, elapsed: 5s, remaining: 14s\n",
      "0% [##############================] 100%. Total: 21s, elapsed: 10s, remaining: 11s\n",
      "0% [#####################=========] 100%. Total: 22s, elapsed: 15s, remaining: 7s\n",
      "0% [###########################===] 100%. Total: 22s, elapsed: 20s, remaining: 2s\n"
     ]
    },
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       "           value=\"once\" > Once </input>\n",
       "    <input type=\"radio\" name=\"state\"\n",
       "           value=\"loop\" checked> Loop </input>\n",
       "    <input type=\"radio\" name=\"state\"\n",
       "           value=\"reflect\" > Reflect </input>\n",
       "  </form>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_img1bddd4859dc74ef2a5738f63936a19c9\";\n",
       "    var slider_id = \"_anim_slider1bddd4859dc74ef2a5738f63936a19c9\";\n",
       "    var loop_select_id = \"_anim_loop_select1bddd4859dc74ef2a5738f63936a19c9\";\n",
       "    var frames = new Array(301);\n",
       "    \n",
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