lewisamarshall/emigrate

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tutorial.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Emigrate\n",
    "========\n",
    "Emigrate is an electrophoresis simulator written in python. It is based on the the scipy.integrate.ode solver. It is written with multiple simulation modules to allow varying solution schemes in order to allow easy extension."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we'll import emigrate. We'll also import ionize, because it contains the Ion and Solution objects that we will use to set the initial conditions\n",
    "We'll also import numpy to set up some vectors, and cProfile for code profiling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import print_function\n",
    "\n",
    "import emigrate\n",
    "import ionize\n",
    "\n",
    "import cProfile\n",
    "import time\n",
    "\n",
    "# from matplotlib import pyplot as plot\n",
    "from matplotlib.pyplot import *\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Getting Started\n",
    "-----------------\n",
    "\n",
    "### Initial Condition\n",
    "To define an initial condition, use the emigrate.Electrolyte class. An Electrolyte represents a quasi-1D system of solutions in a channel. It has a set of nodes, and each node represents a point along the axial dimension. Each point has a concentration for each Ion in the system. It can also have other attributes, such as a cross-sectional area, a pH, and an electric field. Only nodes, ions, and concentrations are mandatory. Other attributes are optional.\n",
    "\n",
    "The easiest way of initializing an electrolyte is to create a set of solutions, and then creating a "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8nvF+e5gWJU+UshIa7/V5g0WfOxu6swegxv75jNs9cdBZ4CIiUAad3mZ2rZm1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\n2NReXAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6ceaaba9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "solutions = [ionize.Solution(['hepes', 'tris'], [.05, .105]),\n",
    "             ionize.Solution(['caproic acid', 'tris', 'fluorescein', 'alexa fluor 488', 'mops', 'acetic acid'], \n",
    "                              [.01, .1, .01, .01, .01, .01]),\n",
    "             ionize.Solution(['hydrochloric acid', 'tris'], [.04, .08]),\n",
    "            ]\n",
    "\n",
    "\n",
    "system = emigrate.Frame(dict(\n",
    "                         n_nodes=137,\n",
    "                         lengths=[.005, .001, .02],\n",
    "                         interface_length=.0005,\n",
    "                         solutions=solutions,\n",
    "                         current=-500.,\n",
    "                         ))\n",
    "\n",
    "# Plot the electrolyte concentrations.\n",
    "for i in range(len(system.ions)):\n",
    "    plot(system.nodes, system.concentrations[i,:], '-o')\n",
    "xlabel('x (m)')\n",
    "ylabel('concentration (M)')\n",
    "xlim([min(system.nodes), max(system.nodes)])\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solving\n",
    "\n",
    "We solve the solution by using the Migrate class. This class takes the system defined by the Constructor as an input and solves it. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solved in 72.30 seconds.\n"
     ]
    }
   ],
   "source": [
    "solver = emigrate.Solver(system, precondition=True, flux_mode='slip')\n",
    "\n",
    "tmax = 200\n",
    "dt = 1\n",
    "\n",
    "epoch = time.time()\n",
    "sequence = solver.solve('examples/example_1.hdf5', dt, tmax)\n",
    "print('Solved in {:.2f} seconds.'.format(time.time()-epoch))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The solution resides in an Electromigration inside the Migrate object. Here, this object is solver.electromigration. Electromigration objects are iterable, so we can plot each concentration profile from them. In this case, that's somewhat unhelpful since there are so many solutions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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otuX/imbXLNYldLPF4kVObWZPoJOdeS/gbXmIL6/8EQuOf5nj/Ulsy/4fagIp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\nIrGwsLCwuCj+fywigkqpQT1jAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6ceaaabbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure()\n",
    "for frame in sequence:\n",
    "    for ion_concentration in frame.concentrations:\n",
    "        plot(frame.nodes, ion_concentration, '-')\n",
    "\n",
    "xlabel('x (mm)')\n",
    "ylabel('concentration (M)')\n",
    "ylim([0, .2])\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, the electromigration essentially acts as a list of frames, so we can also just plot an individual frame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3lnlF8/jnRf/MjPwZ8Q7LjEKWMExEqCpPVz/NT97/CUe6jrCoeBGfrfgsHy/9uP0VPEQd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\nwxhjTFgsYRhjjAnL/w86em39O7n61AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6ce587af98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2S5mRFlTGecel1Ty9vSnbpYiMK9DAMLMHzGyHmW03s8fMrHDU8g+b2VYz22ZmL5rZlSOW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\nFgWGiIikRYEhIiJp+f+p4D4SfwsMKwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6ce5c16ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure()\n",
    "frame = sequence[100]\n",
    "for ion_concentration in frame.concentrations:\n",
    "    plot(frame.nodes, ion_concentration, '-')\n",
    "\n",
    "xlabel('x (m)')\n",
    "ylabel('concentration (M)')\n",
    "xlim([min(system.nodes), max(system.nodes)])\n",
    "show()\n",
    "\n",
    "figure()\n",
    "plot(frame.nodes, frame.pH, '-')\n",
    "xlabel('x (m)')\n",
    "ylabel('pH')\n",
    "xlim([min(system.nodes), max(system.nodes)])\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <a href=\"http://bokeh.pydata.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
       "        <span id=\"6552e1bb-8d8b-4035-b3a1-ab3f5d9e5220\">Loading BokehJS ...</span>\n",
       "    </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "(function(global) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  var force = true;\n",
       "\n",
       "  if (typeof (window._bokeh_onload_callbacks) === \"undefined\" || force === true) {\n",
       "    window._bokeh_onload_callbacks = [];\n",
       "    window._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "\n",
       "  \n",
       "  if (typeof (window._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    window._bokeh_timeout = Date.now() + 5000;\n",
       "    window._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    if (window.Bokeh !== undefined) {\n",
       "      var el = document.getElementById(\"6552e1bb-8d8b-4035-b3a1-ab3f5d9e5220\");\n",
       "      el.textContent = \"BokehJS \" + Bokeh.version + \" successfully loaded.\";\n",
       "    } else if (Date.now() < window._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function run_callbacks() {\n",
       "    window._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n",
       "    delete window._bokeh_onload_callbacks\n",
       "    console.info(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(js_urls, callback) {\n",
       "    window._bokeh_onload_callbacks.push(callback);\n",
       "    if (window._bokeh_is_loading > 0) {\n",
       "      console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    window._bokeh_is_loading = js_urls.length;\n",
       "    for (var i = 0; i < js_urls.length; i++) {\n",
       "      var url = js_urls[i];\n",
       "      var s = document.createElement('script');\n",
       "      s.src = url;\n",
       "      s.async = false;\n",
       "      s.onreadystatechange = s.onload = function() {\n",
       "        window._bokeh_is_loading--;\n",
       "        if (window._bokeh_is_loading === 0) {\n",
       "          console.log(\"Bokeh: all BokehJS libraries loaded\");\n",
       "          run_callbacks()\n",
       "        }\n",
       "      };\n",
       "      s.onerror = function() {\n",
       "        console.warn(\"failed to load library \" + url);\n",
       "      };\n",
       "      console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "    }\n",
       "  };var element = document.getElementById(\"6552e1bb-8d8b-4035-b3a1-ab3f5d9e5220\");\n",
       "  if (element == null) {\n",
       "    console.log(\"Bokeh: ERROR: autoload.js configured with elementid '6552e1bb-8d8b-4035-b3a1-ab3f5d9e5220' but no matching script tag was found. \")\n",
       "    return false;\n",
       "  }\n",
       "\n",
       "  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.js\"];\n",
       "\n",
       "  var inline_js = [\n",
       "    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "    \n",
       "    function(Bokeh) {\n",
       "      \n",
       "    },\n",
       "    \n",
       "    function(Bokeh) {\n",
       "      \n",
       "      document.getElementById(\"6552e1bb-8d8b-4035-b3a1-ab3f5d9e5220\").textContent = \"BokehJS is loading...\";\n",
       "    },\n",
       "    function(Bokeh) {\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.css\");\n",
       "      console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.css\");\n",
       "      Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.css\");\n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    \n",
       "    if ((window.Bokeh !== undefined) || (force === true)) {\n",
       "      for (var i = 0; i < inline_js.length; i++) {\n",
       "        inline_js[i](window.Bokeh);\n",
       "      }if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < window._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!window._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      window._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      var cell = $(document.getElementById(\"6552e1bb-8d8b-4035-b3a1-ab3f5d9e5220\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "\n",
       "  }\n",
       "\n",
       "  if (window._bokeh_is_loading === 0) {\n",
       "    console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(js_urls, function() {\n",
       "      console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(this));"
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     "metadata": {},
     "output_type": "display_data"
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       "\n",
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       "        <div class=\"bk-plotdiv\" id=\"a95c6fdf-992f-4a90-a34e-38ae4475ecdf\"></div>\n",
       "    </div>\n",
       "<script type=\"text/javascript\">\n",
       "  \n",
       "  (function(global) {\n",
       "    function now() {\n",
       "      return new Date();\n",
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       "  \n",
       "    var force = false;\n",
       "  \n",
       "    if (typeof (window._bokeh_onload_callbacks) === \"undefined\" || force === true) {\n",
       "      window._bokeh_onload_callbacks = [];\n",
       "      window._bokeh_is_loading = undefined;\n",
       "    }\n",
       "  \n",
       "  \n",
       "    \n",
       "    if (typeof (window._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "      window._bokeh_timeout = Date.now() + 0;\n",
       "      window._bokeh_failed_load = false;\n",
       "    }\n",
       "  \n",
       "    var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "       \"<div style='background-color: #fdd'>\\n\"+\n",
       "       \"<p>\\n\"+\n",
       "       \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "       \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "       \"</p>\\n\"+\n",
       "       \"<ul>\\n\"+\n",
       "       \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "       \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "       \"</ul>\\n\"+\n",
       "       \"<code>\\n\"+\n",
       "       \"from bokeh.resources import INLINE\\n\"+\n",
       "       \"output_notebook(resources=INLINE)\\n\"+\n",
       "       \"</code>\\n\"+\n",
       "       \"</div>\"}};\n",
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       "    function display_loaded() {\n",
       "      if (window.Bokeh !== undefined) {\n",
       "        var el = document.getElementById(\"a95c6fdf-992f-4a90-a34e-38ae4475ecdf\");\n",
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       "      }\n",
       "    }if ((window.Jupyter !== undefined) && Jupyter.notebook.kernel) {\n",
       "      comm_manager = Jupyter.notebook.kernel.comm_manager\n",
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       "    function run_callbacks() {\n",
       "      window._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n",
       "      delete window._bokeh_onload_callbacks\n",
       "      console.info(\"Bokeh: all callbacks have finished\");\n",
       "    }\n",
       "  \n",
       "    function load_libs(js_urls, callback) {\n",
       "      window._bokeh_onload_callbacks.push(callback);\n",
       "      if (window._bokeh_is_loading > 0) {\n",
       "        console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "        return null;\n",
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       "      if (js_urls == null || js_urls.length === 0) {\n",
       "        run_callbacks();\n",
       "        return null;\n",
       "      }\n",
       "      console.log(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "      window._bokeh_is_loading = js_urls.length;\n",
       "      for (var i = 0; i < js_urls.length; i++) {\n",
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       "        s.onreadystatechange = s.onload = function() {\n",
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       "          if (window._bokeh_is_loading === 0) {\n",
       "            console.log(\"Bokeh: all BokehJS libraries loaded\");\n",
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       "        };\n",
       "        s.onerror = function() {\n",
       "          console.warn(\"failed to load library \" + url);\n",
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       "        console.log(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
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       "    if (element == null) {\n",
       "      console.log(\"Bokeh: ERROR: autoload.js configured with elementid 'a95c6fdf-992f-4a90-a34e-38ae4475ecdf' but no matching script tag was found. \")\n",
       "      return false;\n",
       "    }\n",
       "  \n",
       "    var js_urls = [];\n",
       "  \n",
       "    var inline_js = [\n",
       "      function(Bokeh) {\n",
       "        (function() {\n",
       "          var fn = function() {\n",
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       "            var render_items = [{\"docid\":\"755a3a11-751a-4f13-84ae-1da5a37ad61d\",\"elementid\":\"a95c6fdf-992f-4a90-a34e-38ae4475ecdf\",\"modelid\":\"78fa7a77-b163-4095-b768-b16a2cf0ee84\",\"notebook_comms_target\":\"4ab7e309-20ab-4c98-afdc-ee8fb7361778\"}];\n",
       "            \n",
       "            Bokeh.embed.embed_items(docs_json, render_items);\n",
       "          };\n",
       "          if (document.readyState != \"loading\") fn();\n",
       "          else document.addEventListener(\"DOMContentLoaded\", fn);\n",
       "        })();\n",
       "      },\n",
       "      function(Bokeh) {\n",
       "      }\n",
       "    ];\n",
       "  \n",
       "    function run_inline_js() {\n",
       "      \n",
       "      if ((window.Bokeh !== undefined) || (force === true)) {\n",
       "        for (var i = 0; i < inline_js.length; i++) {\n",
       "          inline_js[i](window.Bokeh);\n",
       "        }if (force === true) {\n",
       "          display_loaded();\n",
       "        }} else if (Date.now() < window._bokeh_timeout) {\n",
       "        setTimeout(run_inline_js, 100);\n",
       "      } else if (!window._bokeh_failed_load) {\n",
       "        console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "        window._bokeh_failed_load = true;\n",
       "      } else if (force !== true) {\n",
       "        var cell = $(document.getElementById(\"a95c6fdf-992f-4a90-a34e-38ae4475ecdf\")).parents('.cell').data().cell;\n",
       "        cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
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       "    }\n",
       "  \n",
       "    if (window._bokeh_is_loading === 0) {\n",
       "      console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "      run_inline_js();\n",
       "    } else {\n",
       "      load_libs(js_urls, function() {\n",
       "        console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "        run_inline_js();\n",
       "      });\n",
       "    }\n",
       "  }(this));\n",
       "</script>"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0fa85c9a02e64d75a7221e6caa7e4bc7"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from bokeh.io import push_notebook\n",
    "from bokeh.layouts import row, widgetbox\n",
    "from bokeh.models import ColumnDataSource\n",
    "from bokeh.plotting import figure, output_notebook, show\n",
    "from ipywidgets import interact\n",
    "\n",
    "\n",
    "output_notebook()\n",
    "\n",
    "# Set up data\n",
    "N = 200\n",
    "x = np.linspace(0, 4*np.pi, N)\n",
    "y = np.sin(x)\n",
    "source = ColumnDataSource(data=dict(x=frame.nodes, y=frame.pH))\n",
    "\n",
    "\n",
    "# Set up plot\n",
    "plot = figure(plot_height=400, plot_width=800, title=\"my sine wave\",\n",
    "              tools=\"reset,save\",\n",
    "              x_range=[0, 0.025], y_range=[8, 8.5], x_axis_label='Distance (m)', y_axis_label='pH')\n",
    "\n",
    "plot.line('x', 'y', source=source, line_alpha=0.6)\n",
    "\n",
    "\n",
    "def update_data(idx):\n",
    "    try:\n",
    "        frame = sequence[idx]\n",
    "        source.data = dict(x=frame.nodes, y=frame.pH)\n",
    "        push_notebook()\n",
    "    except IndexError:\n",
    "        pass\n",
    "\n",
    "\n",
    "# Set up layouts and add to document\n",
    "\n",
    "show(plot, notebook_handle=True)\n",
    "handle = interact(update_data, idx=(0, len(sequence)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Options for solving\n",
    "-------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Modules\n",
    "The solver loads two types of modules:\n",
    "- The flux module.  This module defines the flux of ions through the domain.\n",
    "- The equilibrium module. This module defines the mobility, diffusivity, and molar conductivity of ions. These values are used by the flux module. \n",
    "\n",
    "By default, the flux module called is the compact solver with no adaptive grid.\n",
    "The equilibrium solver called is the fixed pH solver. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reference Frame\n",
    "You can set the reference frame of the solution before solving the problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EFBco7HSUenZEoiOZ21jfARYBG82s6cGfhwE7gZmpKkxEus+4gnE8s/aZsMuI\nlPJy2G+/sKsQkfZIZp2dd8xsf+Ac4MDY5gXA/e6+I5XFiUj3KC4oZl31OtwdPQmmfSoq4Oijw65C\nRNojqXkE7r4d+L8U1yIiISkeVMz2uu2Ubitl+IDhYZcTCRqzIxIdyayzc42Z7bGKspl9w8yuTk1Z\nItKdNP28YxobobJSY3ZEoiKZAcr/BqxsZfsK4OLOlSMiYdDCgh1TXR0EHvXsiERDMmFnBME085bK\ngH06V46IhCGvdx6D+w5Wz0476VERItGSTNj5APh0K9s/DXzYuXJEJCzjCsapZ6ed9BBQkWhJZoDy\n/wG/MLNc4NnYthnAz9DjIkQiq7igmHU168IuIxLUsyMSLcmEnZuAIcBtQK/Ytp3Aje5+Q6oKE5Hu\nVVxQzKPvPhp2GZGgnh2RaElmnR0HrjaznwATgR3AP919V6qLE5HuUzyomA01G2hobCA7KzvsctJa\neTnk5UFubtiViEh7JDNmBwB33+rur7n7Owo6ItFXXFBMXWMdJVtKwi4l7elRESLRknTYEZHMounn\n7acFBUWiRWFHRAAYmz8W0MKC7VFerp4dkShR2BERAPrm9mXEgBHq2WmHigr17IhEicKOiOym6eft\no54dkWhR2BGR3YoHFatnpx3UsyMSLQo7IrJbcUGxxuzshbtmY4lEjcKOiOw2Nn8sJZtLqGuoC7uU\ntFVTAw0N6tkRiRKFHRHZrSi/CMf5cIsec5eIHhUhEj0KOyKy25j8MQB8sPmDkCtJX02PilDYEYkO\nhR0R2a0orwiADTUbQq4kfTX17Og2lkh0KOyIyG4Dew8kv3c+H9SoZycRPQRUJHoUdkSkmTH5Y3Qb\nqw3l5TBgAPTuHXYlItJeCjsi0kxRfpFuY7VBCwqKRI/Cjog0U5RXpJ6dNmhBQZHoUdgRkWbG5I/R\nmJ02qGdHJHoUdkSkmaK8Iip2VLC9bnvYpaQl9eyIRI/Cjog0U5QfTD9X707r1LMjEj0KOyLSjBYW\nbJt6dkSiR2FHRJoZNXAUoIUFW+Ounh2RKFLYEZFmeuf0Znj/4bqN1YotW6C+XmFHJGoUdkRkD1pY\nsHV6VIRINOWEXYCIpJ9ULCxYV11HfUU9dVV11FfWU19VT2NtIzSCN/onX7uIZRlkxX3NMXIG5ZA7\nKJecwTnBn4fkYmbtPqaeeC4STQo7IrKHorwiFr23qMPvqy2rpfSBUj7+7cdsfWNrF1SWWn3268OI\n80Yw/Os5AbK2AAAcSUlEQVTD6Tuu717b67lYItGUNmHHzC4DrgRGAG8B33b319poPx24GTgI2AD8\n1N1/26LNmcD1wDhgDfB9d38ybv+1wLUtDv2uu0/q7M8jEmVNCwu6e7t6PiqfrqTklyVUPlEJBkO+\nOITR3x1N75G9yRkc600ZlENWn6xPeluMDvWqdJS7g3/Si9RY20h9df3uXqbasloq/1LJhhs3sO5H\n6yiYXsA+F+3DsNnDEtb14YdgBsOHd1nZItIF0iLsmNksguByEfAqMBdYZGYHuHt5K+3HAY8DtwFn\nA18A7jKzD939b7E204AHgKuBvwDnAH8ysyPcfWXc4d4BZgBNv93qU/4DikRMUV4R2+q2UbWzisF9\nB7fZturZKt6e+TYDDhvAfvP2Y9jsYfQq7NVNlSZmFgtUWcFf7axeWeQMyIHRn7QZdsYwxv9yPOV/\nLOfjez5m1dmraNjWwMhvjmz1mBs3BkEnN7c7fgIRSZV0GaA8F7jT3e9193eBi4HtwDcStL8EeN/d\nr3L31e5+K/Bw7DhNrgCedPefx9r8CFgGXN7iWPXuXubupbFXZUp/MpEI2r3Wzl5mZO0q2cXK2Ssp\n+HwBU16bwujLR6dF0OmInAE5jDh3BIc/ezj7XLQP/7z8n2xZuqXVtiUlMGpUNxcoIp0Wetgxs1xg\nCvBM0zZ3d+BpYGqCtx0T2x9vUYv2U9vRBmB/Mysxs/fM7D4zK+rgjyCScXavotzGjKzG2kZWnLmC\nrN5ZTFowCcvuultS3WX8LePpf3B/VpyxgrrKuj32K+yIRFPoYQcoBLKBTS22byIYv9OaEQna55lZ\n7720iT/my8D5wEyC3qRiYLGZ9e9A/SIZZ3j/4eRk5bQ5I+u9773Hlte3MOkPk+g1NFq9OYlk98nm\noIcPon5zPau+vmqP2WIbN8Lo0QneLCJpKx3CTmjcfZG7P+Lu78TG+pwMDALOCrk0kVBlZ2UzOm90\nwttYmx7cRMn8EsbPG0/+MfndXF3X6juuLxPvn0jlk5Ws/+/1zfapZ0ckmtJhgHI50AC0nN8wHPg4\nwXs+TtB+s7vv2kubRMfE3WvMbA0wvq2C586dS35+81/wc+bMYc6cOW29TSRSivKKWr2NtX31dlZ/\nczXDzh7GyEtbH8gbdUNOHMLYH41l3Y/WkT81n0EzBrFjRzD1XD07Inu3YMECFixY0GxbTU1NSNWk\nQdhx9zozW0owI2ohgAXzPmcA8xO8bQlwUottJ8S2x7dpeYzjW7RpxswGEASde9uqed68eUyePLmt\nJiKRl2hhwQ9+/gG5g3KZ8KsJXTp1PGzj/nMcVX+tYv1P1zNoxiA+/DDYrp4dkb1rrQNg2bJlTJky\nJZR60uU21s+Bb5nZuWZ2IHAH0A+4B8DMbjCz+DV07gD2NbMbzWyCmV0KnBE7TpNbgBPN7LuxNj8m\nGAj9v00NzOwmM/ucmY2NTVV/FKgDmsdRkR5oTN6ej4xorG2k7A9lDP/6cLL7Z4dUWfewbGOfb+1D\n9XPV7CrZxcaNwXb17IhET1qEHXd/iGBBweuBN4BDgZnuXhZrMgIoimu/DjiFYH2dNwmmnF/o7k/H\ntVlCsAbPRbE2pwOntVhjZzTBWjzvAg8CZcAx7l6R+p9SJFqK8oso2VxCQ2PD7m2Vf62kvqqeYXOG\nhVhZ9yn8SiGWa5Q+VEpJSbBNPTsi0RP6bawm7n4bwSKBre27oJVtiwl6ato65iPAI23s1yAbkQSK\n8oqoa6xj07ZNjBwYjM0pfaCU/gf3Z8AhA0KurnvkFuQy5JQhlD5QysYzi8jPhwE940cXyShpE3ZE\nJL3ELyw4cuBI6rfWU/5YOWN/ODbxmxobYdkyWLgQXnkFqqth8+ZPXrW14B60a/raVcwgK+uTrzk5\nMHAg5OdDXl7wOuwwOPVU+Mxngv2tGHb2MFaeuZKaidsZNapf19UrIl1GYUdEWhW/sODRHE3Fwgoa\ntzcybHYrt7BeeAHuuw/+/OfgAVIFBXDssVBUFISK/PwgaPTq1TyAmAWvVHP/5NUUrOrqYMsWqKkJ\ngldVFTz4IMybB4MGwcknw1lnBeEnzpBThpA9MJu810sZXTQu9bWKSJdT2BGRVg3qM4h+uf12z8ja\n9MAm8qbl0be4xdPBH3oI5syB4mKYNSsIC5/+dDQeIBXfE/XYY3D//XDDDfD97+9ukt03m8LTC9n3\n95tYffRYPnmMnohEhcKOiLTKzHY//byuoo6qRVWM/0WLJaieeALOOQfOPht++9ugtyZKsrLgyCOD\n1/XXw49/DNdcE/RGXXrp7mbDzx7Opt9u4sDsrcDA0MoVkeQo7IhIQk0LC5Y9XIa7M/TMoZ/sfO45\n+OpX4YtfhN/8JnpBpzXXXhvc4rrssmAk8rnnApB3bAFV5DJ+/SYUdkSiR2FHRBIqyitieelyNj2w\niUFfGESvYbFnYL36KnzpS/DZzwbjXhIM7o0cM7j55mBszwUXBIHn9NMprcji7wzjy8tK8Yb9MuKh\npyI9SQb8r5iIdJUx+WPYtmEbNYtrGH527Okr774LJ54YzGR69FHo3bvtg0SNGdxxRzBYefZsePZZ\nNm6EZxhGVmUt1c9Xh12hiHSQwo6IJFSUX8QhrxyC9TEKv1wYbLzuumC21V/+Av37h1tgV8nOhnvv\nhaOPhiuvpGSjs5I8csf0ofSB0rCrE5EOUtgRkYSK8oo4bvlx9J3Zl5y8nOCx3w8/DP/+78F08kyW\nmwv/8R/wxhs0PP8SvXoZ+5wzjLKHy2is7cL1gUQk5RR2RCShUbtGccDHB7D9uO3BhjvugD594Pzz\nQ62r28ycCfvvz/5PzWfUKCg8vZD6qnq2vLYl7MpEpAMUdkQkoYFvBjOPPjzoQ9i5E+68Mxi4m5cX\ncmXdJCsLvv1tDl79CEcM3cjAIwaSnZdN9XMatyMSJQo7IpLQjhd2UDK0hPdy3oPf/x7KyuDyy8Mu\nq3uddx47s/rxta13YNlGwecKFHZEIkZhR0QSqn6umpKDSlhVthJ++ctgFtYBB4RdVvfKy+ORAedz\n/No7YedOCqYXUPNijcbtiESIwo6ItKp2Uy3bV22n7sg6er26FJYuhSuuCLusbucO/2/n5QzYUQ4P\nPkjB9AIadzRq3I5IhCjsiEirqv8R3KrJ+1wepzz1Pr7//sGA3R6muhqW7zqAj444CebPZ8Bh/TVu\nRyRiFHZEpFXVz1XTd0JfDikYxFfeaaDywrMz45EQHbRxY/C1+utXwBtvYK8s0bgdkYjpeb+5RKRd\nqp+rpmB6AUcsfIUdubD0hIPDLikUJSXB1/5fOQH23x/mz9e4HZGIUdgRkT00jdcp+Fweefc+xP2T\nc3h7x7qwywrFxo3BEyT2GRVMQ+eRRyg4pEHjdkQiRGFHRPbQNF6noN+/sNJSXj52P1aVrQq5qnCU\nlMDw4cGCysyaBY2NDNjwrMbtiESIwo6I7KFpvE7vl/4Mw4fTeNSRrCrvuWFn9OjYN8OGwbRp2OML\nNW5HJEIUdkRkD03jdXjsMfjSl5g47CBWla/C3cMurdtt3AijRsVtOPVU+OtfKfh0f43bEYkIhR0R\naWb3eJ0DdsCaNXDqqUwcOpHqndVs2rYp7PK6XbOeHQjCzo4dFPR5V+N2RCJCYUdEmtk9XqfqOejb\nF2bMYGLhRIAeOW5nj56dCRNg//0ZsPxPGrcjEhEKOyLSTPU/YuN1nnsEjj8e+vVjv8H7kZuVy8qy\nlWGX16127IDKyhZhxwxOOw37y0IKPpuvsCMSAQo7ItJM9XPVFBzdB156KbhlA+Rk5bD/kP173CDl\npjV2mt3GguC6bNpEwb6bNW5HJAIUdkRkt9rSWrav3E5BvzXBQ6G++MXd+yYWTuyxYadZzw7A1Kkw\nZAgFW1/QuB2RCFDYEZHddo/XWf8YHHNMsMBMzKShk3rcmJ2mR0XsEXZycuCUUxjw6gNk52VT9feq\nbq9NRNpPYUdEdqv6WxX9JvSh9z8e3X0Lq8nEwol8tPUjanbWhFRd9yspgfx8GDCglZ2nnYatWE7B\nUb2oelphRySdKeyICADuTuVTlQw+cAts375n2Bkam5HVg25lbdzYynidJiecAL16MbhgDZtf3Ez9\n5vpurU1E2k9hR0QA2L5qO7s+2MXg2hdgv/1g4sRm+ycMmYBhPWpGVklJK7ewmgwYADNmMLjkUbze\nqXpWvTsi6UphR0QAqFxUSVafLPLfuCfo1TFrtr9vbl/GFYzrUeN2PvigjbADcOqp9H1tIX337UXV\nIoUdkXSlsCMiAFQ+VUn+4Ub2xxvgtNNabTNxaM+ZkbVrF7z9Nhx2WBuNvvQlaGhg8PhKKp+q7JGP\n0xCJAoUdEaFhewPV/6hmcP8VMHgwfPrTrbabVDipx4Sd118PAs9nP9tGo1Gj4KijGLz17+xct5Md\n/9zRbfWJSPsp7IgI1Yur8V3O4Hd/B6efHkytbsXEoRNZW7WWHXWZ/4/6888Hw3IOPXQvDc88k4Kl\nd2O9jMqnKrulNhHpGIUdEaHyqUp6jzD6lbwEs2cnbDexcCKOs6ZiTTdWF44XXoBp0xLmvk+cdRbZ\nu2rI33+Hwo5ImlLYEZFgyvnQddjw4TB9esJ2TdPPM31GVmMjvPgifOYz7Wg8dixMncpgf4Xq56pp\n2NnQ5fWJSMco7Ij0cDvW7WDH6h0MLnkUzjgDsrMTti3oU8CIASMyftzOihVQXb2X8TrxZs9m8Jr7\nadzRSM3zPWfRRZGoUNgR6eGqFlVBNgyqfLrNW1hNesIzsp5/HnJz4VOfaucbzjiD/vX/oldBPZWL\ndCtLJN0o7Ij0cJVPVZI/rIycUQXBIJW96AnPyHr+eZgyBfr1a+cbRo7Eph/L4P4rNG5HJA0p7Ij0\nYI11jVQ9U8Xgzc/ArFmQtfdfCYcOP5TVFaup2F7RDRV2P/cg7LRrvE68WbMY/OFCtq/Yzs4PdnZJ\nbSKSHIUdkR5s85LNNGxpYPC2v7frFhbAaRNOw915eOXDXVxdONavDx4T0e7xOk2++lUG2TIwp+qv\nWk1ZJJ0o7Ij0YJVPVZLbZycDihvgyCPb9Z7hA4bzhX2/wAPvPNDF1YXjhReCrwnWVUxs6FByv/Ap\n8gZu1K0skTSjsCPSg1U+WcGgxlew2Wft8SystpxzyDksXr+YDTUburC6cDz/PEyaBEOGJPHm2bMZ\nvPkZKv9aQWN9Y8prE5HkKOyI9FCbX93M1je3UVj7bDBepwO+fOCX6ZvTlwXLF3RRdeF5/vkkbmE1\n+cpXKMxZQsPmRsoeKktpXSKSPIUdkR5q/U/W0y+/mqETytrxTITmBvYeyKkTTuX+5fd3UXXhKC+H\nVauSGJzcpKCAASdNYHDBu6z/yXq8QQ8GFUkHCjsiPdCWZVuoeLyCsTvvwubM6tAtrCbnHHIOy0uX\ns3zT8i6oMBwvvhh8TbpnB2D2bMZV38L2d7dT9rB6d0TSgcKOSA+0/ifr6TuwhqH9X4XLL0/qGDPH\nz2Rw38EZ1bvzwgswejSMGdOJg5x5JnmTshhcsIZ1P1mHN6p3RyRsCjsiPczWt7ZS/qdyxm65nawb\n/zvJkbjQK7sXZ006iwXvLKDRM2MwbtN4nSQ6uj6Rmwu33srY6lvYvmI75Y+Wp6w+EUmOwo5ID7P+\nJ2vp06ucYUfWwDe+0aljnXPoOWyo2cCLG15MUXXh2b4dli7txHideNOnk3/24QzKfZt1176n3h2R\nkCnsiPQgW9/ZStkjFYyt/Q1Zd/xvu1ZMbsu0ommMyR+TEbey/vY3qK/v5HideDfdxNicB9i2YicV\nf87M1aZFokJhR6QH2fDD1fS2TQy/qDh4+FMnZVkWZx98Nn9Y+QdqG2pTUGE41q2Db34TjjsODjoo\nRQcdOZKCn86igDdZ9/2VuKt3RyQsaRN2zOwyM1trZjvM7GUzO2ov7aeb2VIz22lma8zsvFbanGlm\nq2LHfMvMTurseaX7LViQeWu5hGHbim2UPraZsf3/RNYN17fZtiPX/JxDz6FyR2VkHx+xdSucdhoM\nHAgPPdTpzq7mLr+cseMWs/XdRioea3vsjj7n3U/XvOdIi7BjZrOAm4FrgSOAt4BFZlaYoP044HHg\nGeAw4BbgLjM7Pq7NNOAB4P+Aw4HHgD+Z2aRkzyvh0C+kzqv4SwVvTn2FvpQw4v8dD4MHt9m+I9f8\n4GEH88UDvsh5fzqP21+7PVI9GI2NcO658P77sHBh0mO1E8vNpeCe71DAUlae9TYf/qok4fXR57z7\n6Zr3HGkRdoC5wJ3ufq+7vwtcDGwHEo2evAR4392vcvfV7n4r8HDsOE2uAJ5095/H2vwIWAbEz7Pt\n6HlFIqWxtpF/Xfg6y7+4nIFbXuWIU54k61vnp/w8fzzrj1xy5CVc+sSlXPz4xZG5pXX99fCnP8H9\n98PBB3fNOezYYznk38sYXvcEa/7tn6yc+SL1NfVdczIRaVXoYcfMcoEpBL00AHjwvz5PA1MTvO2Y\n2P54i1q0n9pWmyTPKxIZ25dXsWzc45T8uor9Ch7gkEcm0OvP96X4Pk0gNzuX+SfN5+5T7+aet+7h\nuN8ex6atm1J+nlTZvBl+9Su47jr4r/+CU0/t2vNlz/sfJiz+MpPG/JrKv1XzetFT1Cz6oGtPKiK7\n5YRdAFAIZAMtfzNuAiYkeM+IBO3zzKy3u+9qo82ITpwXgH/etYKckQ1tNZEU2rymmrf/67WwywiZ\ng4PFboF4o2N1DbCrHmrrYWc9VO6k8V9bqfvQ2VU9kLq6fPqwlbGnrqTiqnmU9e0Pb7TvbDU1sGxZ\nx6s8nG9w5zETufL109n3F+PZL+9gxvQ/gLH9D6BowP7k5Q4ix3LJthxysnLJtmyMlovaJL/ITdMd\nIndoaIDaWqirC17V1bB8Oby9HP71z6DdSRfCzPNh2UdJn7L9xveHFy5n1Lw/U3XLKN44cQA5OW/Q\ne1AVuaN2srl0Pcu/ew/0zoI+WdA7C++THaz5Y+Bmnbk00orNaz/k7f99KOwyIqHwyAMYeczhYZeR\ntHQIO1HSB2D57aupYUfYtfQYVdTw8n+281/pHi6HShqpZit1bCKXP3AU7y08ARau7uCRapgyJYm0\nA0Bv6HcPTFjI8vz1LM9/Awoehd5bkjxeih0YewFPAk9e1/0lFM7O4txXDmNk1WgGbt6H3LKRVOEs\nmReN23+Zooo6Xv52ddhlRMNBt3Pkvf/WqUOsWrWq6Y99Ol1PB6VD2CkHGoDhLbYPBz5O8J6PE7Tf\nHOvVaatN0zGTOe84gJ/y0wS7pav8G537SybJ6MTU9O20uxepJyqnkZ/zBi0vkj7n3U/XvJ1WAFN+\nlaqjjQNeStXB2iP0sOPudWa2FJgBLAQwM4t9Pz/B25YALaeRnxDbHt+m5TGOb2qT5HkXAecA64Cd\ne//pREREJKYPQdBZ1N0ntnSYJmpmZwH3EMyGepVgltQZwIHuXmZmNwAj3f28WPtxwHLgNuDXBAHl\nF8DJ7v50rM1U4DngGuAvwBzg+8Bkd1/ZnvN27U8tIiIi3SH0nh0Ad38otrbN9QS3kd4EZsYFjhFA\nUVz7dWZ2CjCPYIr5RuDCpqATa7PEzM4Gfhp7/RM4rSnotPO8IiIiEnFp0bMjIiIi0lVCX2dHRERE\npCsp7IiIiEhG61FhRw8b7X5hXHMzu9bMGlu8VrY8TqZK9TU3s0lm9nDsmI1mdkUqzptJwrjm+pyn\n/Jp/08wWm1ll7PW31o6pz3n3XvOUfc7dvUe8gFkE08XPJVhS7E6gEihM0H4csBX4GcGKypcBdcDx\ncW2mxbZ9N9bmemAXMCnZ82bSK8Rrfi3wNjAUGBZ7DQ77ekT4mh8J3AicBZQAV3T2vJn0CvGa63Oe\n2mv+O4KZuYcCBxDM9K0C9kn2vJn0CvGap+RzHvoF7Mb/UC8Dt8R9bwSzuK5K0P5G4O0W2xYAT8R9\n/yCwsEWbJcBtyZ43k14hXvNrgWVh//yZcs1b7FtL6//w6nPe/ddcn/Muuuax/VlADfC1ZM+bSa8Q\nr3lKPuc94jaW6WGj3S6sax5nfzMrMbP3zOw+Mysiw3XhNe+K82aEsK55HH3O6bJr3h/IJei90Oc8\nhGsep9Of8x4Rdmj7oZ8j9mwO7OVho3tp056HjSY6b6YI65pD8H8g5wMzCbpIi4HFZta/A/VHUVdd\n8644b6YI65qDPuddfc1vJLiF2PQPtj7n3X/NIUWf87RYVFAkldw9finyd8zsVWA9wfiH34RTlUhq\n6XPedczs+wTX8Vh319NZu0Gia56qz3lP6dmJ0sNGM0VY13wP7l4DrAHG773sSOuqa94V580UYV3z\nPehznpprbmZXAlcRDKRd0cnzZoqwrvkekv2c94iw4+51QNNDP4FmD/1M9OTVJfHtYxI9bDRes4eN\nJnHejBDWNW+NmQ0g+IvxUXtqj6ouvOZdcd6MENY1b40+552/5mZ2FfADgscGNXskvT7n3X/NW5P0\n5zzsEd7d9SLo8tpO82lzFcDQ2P4bgN/GtR8HbCG4hzgBuBSoBb4Q12YqwbTnpmnQPyaYmjepvefN\n5FeI1/wm4HPAWIKp6n8juFc8JOxrEtFrngscBhxOcD/9xtj3++lzHuo11+c8tdf86tjvkq8Q9EA0\nvfrrcx7qNU/J5zz0C9jN/7EuBdYBOwjS5ZFx+34DPNui/ecI0uwOggeJfr2VY34VeDfW5m2CdNru\n82b6K4xrTjC9cWNs/wbgAaA47GsR1Wse+yXTSNCNHf9qeRx9zrvxmutznvJrvraV690A/Ki95830\nVxjXPFWfcz0IVERERDJajxizIyIiIj2Xwo6IiIhkNIUdERERyWgKOyIiIpLRFHZEREQkoynsiIiI\nSEZT2BEREZGMprAjIiIiGU1hR0RERDKawo6IRJqZXWhmT3XyGEPMbJOZjUxVXSKSPvS4CBGJLDPr\nDbwPfNXdX+7ksX4GDHb3b6akOBFJG+rZEZEoOxOo6WzQibkHOMfMClJwLBFJIwo7IhI6Mys0s4/M\n7Ptx26aZ2S4z+3wbb50F/LnFsX5jZo+a2TVm9rGZVZnZD80s28x+ZmYVZvaBmZ0f/z53Xwl8CHwl\nhT+aiKQBhR0RCZ27lwPfAK4zs8lmNgC4F5jv7n9v462fAV5vZftxwD7AZ4G5wPXA40Al8CngDuDO\nVsbovBp7j4hkEI3ZEZG0YWa/BI4nCDAHA0e5e12CtvlAFfBZd38xbvtvgGPdfd+4bauATe4+PfZ9\nFlADXOjuD8W1uxk43N1npPpnE5HwqGdHRNLJ94Ac4Azg7ERBJ6Zv7OvOVvataPH9JmB50zfu3ghU\nAMNatNsB9OtIwSKS/hR2RCSdjAdGEvxuKt5L2wrAgUGt7GsZkjzBtpa/AwcDZe2qVEQiQ2FHRNKC\nmeUCvwMeBP4TuNvMChO1j/X6rAQmpbCMg4E3Ung8EUkDCjsiki7+G8gDvg38DFgN/GYv71lEMEi5\n08ysLzAldkwRySAKOyISOjM7FrgC+Jq7b/Ng5sS5wGfM7N/aeOvdwMlmNnAvp2htJkbLbV8G1rv7\nS+2tW0SiQbOxRCTSzOz3wDJ3v7GTx1kC/MLdf5+aykQkXahnR0Si7nvA1s4cwMyGAI8o6IhkJvXs\niIiISEZTz46IiIhkNIUdERERyWgKOyIiIpLRFHZEREQkoynsiIiISEZT2BEREZGMprAjIiIiGU1h\nR0RERDKawo6IiIhktP8f/SNXUOJp7SAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa551cdb390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "solutions = [ionize.Solution(['acetic acid', 'b-alanine'], [.02, .012]),\n",
    "             ionize.Solution(['acetic acid', 'pyridine', 'aniline'], [.02, .009/2, .011/2]), \n",
    "             ionize.Solution(['acetic acid', 'sodium'], [.02, .018]), \n",
    "            ]\n",
    "system = emigrate.Frame(dict(lengths=[.01, .004, .01],\n",
    "                         n_nodes=100,\n",
    "                         interface_length=.0005,\n",
    "                         solutions=solutions,\n",
    "                         current=500,\n",
    "                         domain_mode='left', \n",
    "                         ))\n",
    "for i in range(len(system.ions)):\n",
    "    plot(system.nodes, system.concentrations[i,:])\n",
    "xlabel('x (m)')\n",
    "ylabel('concentration (M)')\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solved in 95.60 seconds.\n"
     ]
    }
   ],
   "source": [
    "solver = emigrate.Solver(system, precondition=True, flux_mode='slip')\n",
    "tmax = 80\n",
    "dt = 1\n",
    "solver.set_reference_frame(ionize.Database()['acetic acid'], 'right')\n",
    "\n",
    "epoch = time.time()\n",
    "sequence = solver.solve('examples/example_2.hdf5', dt, tmax)\n",
    "print('Solved in {:.2f} seconds.'.format(time.time()-epoch))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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xKJN1PE4DCpKUFwFvHVZrREREZExL+6oWMzs+4e0CM6tPeO8H3gW8mq2GiYiIyNgzlMtp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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa551cc5dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure()\n",
    "frame = sequence[80]\n",
    "for ion_concentration in frame.concentrations:\n",
    "    plot(frame.nodes, ion_concentration, '-')\n",
    "\n",
    "xlabel('x (m)')\n",
    "ylabel('concentration (M)')\n",
    "xlim([min(frame.nodes), max(frame.nodes)])\n",
    "ylim([0, .05])\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Saving to Disk\n",
    "--------------\n",
    "The default method for saving is to write to an HDF5 binary file. If a filename is specified when initializing the Migration, then the each frame will be saved to that HDF5 file as soon as it is computed. We can re-open these HDF5 files and get solutions on demand. \n",
    "\n",
    "These HDF5 files can also be opened with the Emigrate application."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Work with HDF5 file."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If JSON objects are desired, both electromigrations and electrolytes can be written in JSON format. However, beware when doing this for the electromigrations, as the file size can be very large."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# solver.electromigration.write_json('tutorial_example_5.json')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Solutions can then be reloaded using the Electromigration class. Currently, they lose all ion information except name during this process."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# solution_reloaded = emigrate.Electromigration([]).load_json('tutorial_example.json')\n",
    "\n",
    "# print solution_reloaded.ions\n",
    "# for t, electrolyte in solution_reloaded.electrolytes.items():\n",
    "#     for ion_concentration in electrolyte.concentrations:\n",
    "#             plot(electrolyte.nodes*1000, ion_concentration, '-')\n",
    "# xlabel('x (mm)')\n",
    "# ylabel('concentration (M)')\n",
    "# show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Instead of saving to file, json objects can simply be generated as text using the \"serialize\" command, and those objects can be deserialized to return the original object."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Countermigrating Waves\n",
    "---------------------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zU9x97zDtFwH3AbcC7wTOB75uZtvd/efZNq8Gvgt8CvgJ8FfAPWZ2prtvyD7q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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa561bc9240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "solutions = [ionize.Solution(['caproic acid', 'tris'], [.0075, .015]),\n",
    "             ionize.Solution(['hydrochloric acid', 'tris', 'alexa fluor 488', 'rhodamine 6g'], \n",
    "                             [.005, .01, .0001, .0001]),\n",
    "             ionize.Solution(['hydrochloric acid', 'bis-tris'], [.0075, .015])\n",
    "            ]\n",
    "\n",
    "system = emigrate.Frame(dict(lengths=[0.01]*len(solutions),\n",
    "                         n_nodes=200,\n",
    "                         interface_length=.0005,\n",
    "                         solutions=solutions,\n",
    "#                          voltage= -50., \n",
    "                         current=-200,\n",
    "                         domain_mode='left'\n",
    "                         ))\n",
    "for i in range(len(system.ions)):\n",
    "    plot(system.nodes, system.concentrations[i,:])\n",
    "xlabel('x (m)')\n",
    "ylabel('concentration (M)')\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solved in 115.31620287895203 seconds.\n"
     ]
    }
   ],
   "source": [
    "# solver.electromigration.hdf5.close()\n",
    "solver = emigrate.Solver(system, precondition=True, flux_mode='slip')\n",
    "tmax = 100\n",
    "dt = .1\n",
    "\n",
    "epoch = time.time()\n",
    "sequence = solver.solve('examples/countermigrating.hdf5', dt, tmax)\n",
    "print('Solved in {} seconds.'.format(time.time()-epoch))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sznKsywRrgF0rxWb6MPcXKrytW3D/1lWe0yPx+SbDDSZRpY+VQp5C+jCXSy63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rzK7Ssx202dBwY09Ce40YtUO5/Bsc1ssYqSfA5tFdfc4GxocHnmGPKnaEFKmtR5GC5ScZ5j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\nEboO+CmpS19J4G5Sj+OnWwAU7p9xz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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa5601e7f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ocVb2tbEw3HGoRzuKKfuKkWKV5cUSObfDfKvB0ZbhUDfBSboMV/PkrQIDfoHB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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa551f8bc88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for frame in sequence:\n",
    "        for ion_concentration in frame.concentrations:\n",
    "            plot(frame.nodes, ion_concentration, '-')\n",
    "xlabel('x (mm)')\n",
    "ylabel('concentration (M)')\n",
    "show()\n",
    "\n",
    "figure()\n",
    "for frame in sequence:\n",
    "        plot(frame.nodes, frame.pH, '-')\n",
    "xlabel('x (mm)')\n",
    "ylabel('pH')\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Example 3\n",
    "----------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Non-focusing Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1kcGmzkYfo7Dhhq1rIoq9Npdd5t2IJUlTXt8Em4g4OCLuiIgVEXFdRGy9hvod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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa53d7ddc88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "separation_buffer = ionize.Solution(['tris', 'hydrochloric acid'], [.01, .005])\n",
    "solutions = [separation_buffer,\n",
    "             separation_buffer + ionize.Solution(['alexa fluor 488'], [.001]), \n",
    "             separation_buffer]\n",
    "system = emigrate.Frame(dict(lengths=[.01, .001, .089],\n",
    "                         n_nodes=100,\n",
    "                         interface_length=.0005,\n",
    "                         solutions=solutions,\n",
    "                         current=-500,\n",
    "                         domain_mode='left', \n",
    "                         ))\n",
    "for i in range(len(system.ions)):\n",
    "    plot(system.nodes, system.concentrations[i,:])\n",
    "xlabel('x (m)')\n",
    "ylabel('concentration (M)')\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solved in 17.91 seconds.\n"
     ]
    }
   ],
   "source": [
    "solver = emigrate.Solver(system, precondition=False, flux_mode='slip')\n",
    "tmax = 200\n",
    "dt = 1\n",
    "\n",
    "epoch = time.time()\n",
    "sequence = solver.solve('examples/example_4.hdf5', dt, tmax)\n",
    "print('Solved in {:.2f} seconds.'.format(time.time()-epoch))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Example 4\n",
    "----------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "water = ionize.Solution()\n",
    "\n",
    "solutions = [ionize.Solution(['tris', 'hydrochloric acid'], [.01, .01]),\n",
    "             ionize.Solution(['hydrochloric acid'], [.01])]\n",
    "system = emigrate.Frame(dict(lengths=[.01, .01],\n",
    "                         n_nodes=100,\n",
    "                         interface_length=.0005,\n",
    "                         solutions=solutions,\n",
    "                         current=-50,\n",
    "                         domain_mode='left', \n",
    "                         ))\n",
    "# for i in range(len(system.ions)):\n",
    "#     plot(system.nodes, system.concentrations[i,:])\n",
    "# xlabel('x (m)')\n",
    "# ylabel('concentration (M)')\n",
    "# show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solved in 132.00 seconds.\n"
     ]
    }
   ],
   "source": [
    "solver = emigrate.Solver(system, precondition=True, flux_mode='slip')\n",
    "tmax = 200\n",
    "dt = 1\n",
    "\n",
    "epoch = time.time()\n",
    "sequence = solver.solve('examples/example_5a.hdf5', dt, tmax)\n",
    "print('Solved in {:.2f} seconds.'.format(time.time()-epoch))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "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": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}