ketch · November 15, 2014 17:39
diff --git a/yt_animation_hot_sphere.ipynb b/yt_animation_hot_sphere.ipynb
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   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Euler with gravity: hot bubble rising"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This notebook shows the results of some computations set up by Wes Lowrie to solve the Euler equations with gravity.  An atmosphere at equilibrium is perturbed with a hot sphere that rises.  The results here are plotted using yt."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "from clawpack.pyclaw import Solution\n",
      "import yt\n",
      "import numpy as np\n",
      "from clawpack.visclaw.JSAnimation import IPython_display\n",
      "from matplotlib import animation\n",
      "\n",
      "import logging\n",
      "logger = logging.getLogger()\n",
      "logger.setLevel(logging.CRITICAL)  # Avoid seeing lots of logger messages from yt"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 35
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def load_ds(frame,path='./_output'):\n",
      "    sol = Solution(frame,path=path,file_format='hdf5',file_prefix='equil')\n",
      "\n",
      "    grid_data = []\n",
      "\n",
      "    for state in sorted(sol.states, key = lambda a: a.patch.level):\n",
      "        patch = state.patch\n",
      "\n",
      "        d = {\n",
      "            'left_edge': patch.lower_global,\n",
      "            'right_edge': patch.upper_global,\n",
      "            'level': patch.level,\n",
      "            'dimensions': patch.num_cells_global,\n",
      "            'Density': state.q[0,...],\n",
      "            'x-momentum' : state.q[1,:,:,:],\n",
      "            'y-momentum' : state.q[2,:,:,:],\n",
      "            'z-momentum' : state.q[3,:,:,:],\n",
      "            'Energy'     : state.q[4,:,:,:]\n",
      "            }\n",
      "        grid_data.append(d)\n",
      "        bbox = np.vstack((sol.patch.lower_global,sol.patch.upper_global)).T;\n",
      "    return yt.load_amr_grids(grid_data, sol.patch.num_cells_global, bbox = bbox)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 36
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def pressure(field,data):\n",
      "    return (data.ds.gamma - 1.0) * (data[\"Energy\"] - \\\n",
      "                            0.5*(data['x-momentum']**2+data['y-momentum']**2+data['z-momentum']**2)/data['Density'])\n",
      "\n",
      "def temperature(field,data):\n",
      "    return (data.ds.gamma - 1.0) * (data[\"Energy\"] - \\\n",
      "                0.5*(data['x-momentum']**2+data['y-momentum']**2+data['z-momentum']**2)/data['Density'])/data['Density']\n",
      "    \n",
      "yt.add_field(\"pressure\", function=pressure)\n",
      "yt.add_field(\"temperature\", function=temperature)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 37
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Non-conservative formulation"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ds = load_ds(0,'./_output_noncons')\n",
      "ds.gamma=1.4\n",
      "\n",
      "slc = yt.SlicePlot(ds, 'x', \"temperature\",origin=\"native\")\n",
      "slc.set_zlim('temperature',1.e9,1.e11)\n",
      "fig = slc.plots['temperature'].figure\n",
      "\n",
      "def animate(i):\n",
      "    ds = load_ds(i,'./_output_noncons')\n",
      "    slc._switch_ds(ds)\n",
      "    return fig"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 38
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "animation.FuncAnimation(fig, animate, frames=11, interval=200, blit=False)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
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        "AZliBQBo/UgaACACXLx4UcuXL9crr7wS9HP98Ic/1Pz58xusEA0AiFwkDQAAAAD84p4GAAAAAH6R\\\n",
        "NAAAAADwi6QBAAAAgF8kDQAAAAD8ImkAAAAA4BdJAwAAAAC/SBoAAAAA+EXSAAAAAMAvkgYAAAAA\\\n",
        "fpE0AAAAAPCLpAEAAACAXyQNAAAAAPwiaQAAAADgF0kDAAAAAL9IGgAAAAD4RdIAAAAAwC+SBgAA\\\n",
        "AAB+kTQAAAAA8Ov/AdtwGaaHoN9yAAAAAElFTkSuQmCC\\\n",
        "\"\n",
        "\n",
        "\n",
        "    /* set a timeout to make sure all the above elements are created before\n",
        "       the object is initialized. */\n",
        "    setTimeout(function() {\n",
        "        anim6daa80542f0a7991 = new Animation(frames, img_id, slider_id, frame_id, 200, loop_select_id);\n",
        "    }, 0);\n",
        "  })()\n",
        "</script>\n"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 39,
       "text": [
        "<matplotlib.animation.FuncAnimation at 0x110230290>"
       ]
      }
     ],
     "prompt_number": 39
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Conservative formulation"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "I'm not plotting temperature correctly here.  Need to subtract off gravitational energy."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ds = load_ds(0,'./_output_cons')\n",
      "ds.gamma=1.4\n",
      "\n",
      "slc = yt.SlicePlot(ds, 'x', \"temperature\",origin=\"native\")\n",
      "slc.set_zlim('temperature',1.e10,1.e11)\n",
      "fig = slc.plots['temperature'].figure\n",
      "\n",
      "def animate(i):\n",
      "    ds = load_ds(i,'./_output_cons')\n",
      "    slc._switch_ds(ds)\n",
      "    return fig\n",
      "\n",
      "animation.FuncAnimation(fig, animate, frames=11, interval=200, blit=False)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "<script language=\"javascript\">\n",
        "  /* Define the Animation class */\n",
        "  function Animation(frames, img_id, slider_id, frame_id, interval, loop_select_id){\n",
        "    this.img_id = img_id;\n",
        "    this.slider_id = slider_id;\n",
        "    this.frame_id = frame_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 = this.frames[this.current_frame].src;\n",
        "    document.getElementById(this.slider_id).value = this.current_frame;\n",
        "    document.getElementById(this.frame_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",
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        "    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",
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        "  Animation.prototype.pause_animation = function()\n",
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        "    this.direction = 0;\n",
        "    if (this.timer){\n",
        "      clearInterval(this.timer);\n",
        "      this.timer = null;\n",
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        "  }\n",
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        "  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(){t.anim_step_forward();}, this.interval);\n",
        "  }\n",
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        "  {\n",
        "    this.pause_animation();\n",
        "    this.direction = -1;\n",
        "    var t = this;\n",
        "    if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\n",
        "  }\n",
        "</script>\n",
        "\n",
        "<div class=\"animation\" align=\"center\">\n",
        "    <img id=\"_anim_imgb7532f5bcc716a32\" style=\"width:Nonepx\">\n",
        "    <br>\n",
        "    <input id=\"_anim_sliderb7532f5bcc716a32\" type=\"range\" style=\"width:350px\" name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\" onchange=\"animb7532f5bcc716a32.set_frame(parseInt(this.value));\"></input>\n",
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        "    <button onclick=\"animb7532f5bcc716a32.faster()\">+</button>\n",
        "  <form action=\"#n\" name=\"_anim_loop_selectb7532f5bcc716a32\" class=\"anim_control\">\n",
        "\n",
        "    <input id=\"_frame_nob7532f5bcc716a32\" type=\"textbox\" size=\"1\" onchange=\"animb7532f5bcc716a32.set_frame(parseInt(this.value));\" onpaste=\"this.onchange();\" oninput=\"this.onchange();\"></input>\n",
        "    \n",
        "    <input type=\"radio\" name=\"state\" value=\"once\" > Once </input>\n",
        "    <input type=\"radio\" name=\"state\" value=\"loop\" checked> Loop </input>\n",
        "    <input type=\"radio\" name=\"state\" value=\"reflect\" > Reflect </input>\n",
        "  </form>\n",
        "\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_imgb7532f5bcc716a32\";\n",
        "    var slider_id = \"_anim_sliderb7532f5bcc716a32\";\n",
        "    var frame_id = \"_frame_nob7532f5bcc716a32\"\n",
        "    var loop_select_id = \"_anim_loop_selectb7532f5bcc716a32\";\n",
        "    var frames = new Array(0);\n",
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        "\"\n",
        "\n",
        "\n",
        "    /* set a timeout to make sure all the above elements are created before\n",
        "       the object is initialized. */\n",
        "    setTimeout(function() {\n",
        "        animb7532f5bcc716a32 = new Animation(frames, img_id, slider_id, frame_id, 200, loop_select_id);\n",
        "    }, 0);\n",
        "  })()\n",
        "</script>\n"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 41,
       "text": [
        "<matplotlib.animation.FuncAnimation at 0x112adbe10>"
       ]
      }
     ],
     "prompt_number": 41
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
 }