{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib widget"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6c60f5bb1705487882af9db4454aa700",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pysketcher import *\n",
    "from numpy import exp, linspace\n",
    "\n",
    "W = 5    # upstream area\n",
    "L = 10   # downstread area\n",
    "H = 4    # height\n",
    "sigma = 2\n",
    "alpha = 2\n",
    "\n",
    "drawing_tool.set_coordinate_system(xmin=0, xmax=W+L+1,\n",
    "                                   ymin=-2, ymax=H+1,\n",
    "                                   axis=True)\n",
    "drawing_tool.set_linecolor('blue')\n",
    "\n",
    "# Create bottom\n",
    "\n",
    "def gaussian(x):\n",
    "    return alpha*exp(-(x-W)**2/(0.5*sigma**2))\n",
    "\n",
    "x = linspace(0, W+L, 51)\n",
    "y = gaussian(x)\n",
    "wall = Wall(x, y, thickness=-0.3, pattern='|', transparent=True).\\\n",
    "       set_linecolor('brown')\n",
    "wall['eraser'].set_linecolor('white')\n",
    "def velprofile(y):\n",
    "    return [2*y*(2*H-y)/H**2, 0]\n",
    "\n",
    "inlet_profile = VelocityProfile((0,0), H, velprofile, 5)\n",
    "symmetry_line = Line((0,H), (W+L,H))\n",
    "symmetry_line.set_linestyle('dashed')\n",
    "outlet = Line((W+L,0), (W+L,H))\n",
    "outlet.set_linestyle('dashed')\n",
    "\n",
    "fig = Composition({\n",
    "    'bottom': wall,\n",
    "    'inlet': inlet_profile,\n",
    "    'symmetry line': symmetry_line,\n",
    "    'outlet': outlet,\n",
    "    })\n",
    "\n",
    "fig.draw()  # send all figures to plotting backend\n",
    "\n",
    "vx, vy = velprofile(H/2.)\n",
    "symbols = {\n",
    "    'alpha': Distance_wText((W,0), (W,alpha), r'$\\alpha$'),\n",
    "    'W': Distance_wText((0,-0.5), (W,-0.5), r'$W$',\n",
    "                          text_spacing=-1./30),\n",
    "    'L': Distance_wText((W,-0.5), (W+L,-0.5), r'$L$',\n",
    "                          text_spacing=-1./30),\n",
    "    'v(y)': Text('$v(y)$', (H/2., vx)),\n",
    "    'dashed line': Line((W-2.5*sigma,0), (W+2.5*sigma,0)).\\\n",
    "                   set_linestyle('dotted').set_linecolor('black'),\n",
    "    }\n",
    "symbols = Composition(symbols)\n",
    "symbols.draw()\n",
    "\n",
    "drawing_tool.display()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
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   "file_extension": ".py",
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   "pygments_lexer": "ipython3",
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