test_stokes_setup.ipynb 710 KB
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from lbmpy.session import *\n",
    "from pystencils.jupytersetup import *\n",
    "from pystencils.slicing import add_ghost_layers, remove_ghost_layers\n",
    "from lbmpy.relaxationrates import lattice_viscosity_from_relaxation_rate, relaxation_rate_from_lattice_viscosity\n",
    "\n",
    "\n",
    "def discrete_l2_norm_by_number_of_nodes(field):\n",
    "    squared_sum = np.sqrt(np.sum(field ** 2, axis=-1))\n",
    "    return np.linalg.norm(squared_sum) / np.sqrt(squared_sum.size)\n",
    "\n",
    "\n",
    "def discrete_linf_norm(field):\n",
    "    return np.max(np.abs(field))\n",
    "\n",
    "\n",
    "def add_flipped_on_top(field):\n",
    "    flipped = np.copy(field)\n",
    "    flipped[:, :, 1] *= -1\n",
    "    flipped = np.flipud(flipped)\n",
    "    return np.concatenate([field, flipped], axis=1)\n",
    "\n",
    "\n",
    "def get_lower_half(field):\n",
    "    assert field.shape[1] % 2 == 0\n",
    "    return field[:, :field.shape[1]//2, :]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stokes flow - comparison to an analytical solution\n",
    "\n",
    "This notebook sets up a periodic scenario with a given force field where the analytical (Stokes) solution is known. The simualted results are compared to the analytical solution.\n",
    "\n",
    "### Analytic part"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "sym_x, sym_y, sym_mu = sp.symbols(\"x y mu\")\n",
    "sym_k = sp.symbols(\"k\", integer=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Definition of stream function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\sin{\\left (y \\right )} \\sin{\\left (k x \\right )}$$"
      ],
      "text/plain": [
       "sin(y)⋅sin(k⋅x)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "potential = sp.sin(sym_k * sym_x) * sp.sin(sym_y)\n",
    "potential"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Velocity field as curl of stream function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}\\sin{\\left (k x \\right )} \\cos{\\left (y \\right )}\\\\- k \\sin{\\left (y \\right )} \\cos{\\left (k x \\right )}\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡ sin(k⋅x)⋅cos(y)  ⎤\n",
       "⎢                  ⎥\n",
       "⎣-k⋅sin(y)⋅cos(k⋅x)⎦"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sym_vel = sp.Matrix([sp.diff(potential, sym_y), -sp.diff(potential, sym_x)])\n",
    "sym_vel"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Definition of pressure field"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOIAAAAqBAMAAABchZo9AAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAVO8Qq5l2zWa73USJMiI6he1VAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAEBElEQVRYCe1WS2hcVRj+JjeZmUzu3Jl2IaKLRooPuuksYqogTBV8FHyMWFIXxV7axAeUJkIloC0dRHHZwUfQjQZ84MLHCOJClMzCiqjI0EUX7SJ3qXTRhlBaKDX9zjn3njnn5qRwL6Td9IeZ8///953/P49/zj/ALZCtjZub1Hv8uZucEZi9nXETLvn2qW7CoTpq9dRHm1u+g3s8pzbkR8Nzjq2FDl8+l85Y7agAlaj6vyPUjw5fPpfOWIrPstINrjpC+W2HM49r786jcagpPb2wqlVD+dzQDfVfpZcjw2eoMewiBUzz8A6JVEJjilZntGYqQXwXeNb0ap2w9/6iNi2S36L/DYmd0oxYKWynciHtlXYpit274tEeShFQEpGVWKShOp0rAignjEIoTGBirzjmSlvoaXk3cfhhopmjgGsishKLtNwAxuQF/oJfFZ5kRFH4RzrxNGv4LrG88UQzRwEvMXIsFultOv1FflVf3/KBItgZi+PKa30Hi9p8S2sDRcJ/DmyYpH30l1qF6f7Q2tpFxbEzqgN48O/n4f1+uIszd75CVrEFTE4h4EXL23fALI47nsHk9PnDYUxS0fEJx2b9yFI7tjnYGavX6AruwenobIQFr4MK7dE20NuKItf43gawt1I8f8Xrlb+qzCkSeVKO8nvbZOOh2BSDnVG+C6U5bOt/Ayyf244iKZU6gvo+jHaAu2g6YBRWD3ltv+GvFiJBWpNCLr7k5wDPKBF/fv7N++fndwtbVk4gCrlJRpVKrff9QkR7qAsP96EWchFuGCOXCHgocVGKJEYhYo9fvBYKNRHHHpdCbp2PYK3zyAkRiRlFhS/3VTAXXHliQQQUi1qX0btqv6h2Rvm+6z2+1MBJZuOpYmQOBxnsZ35ccLN7gUS5KEWiIWUPf/oXvRU/sTnaGWWt8qJQv5e/sR9CDLdV5Yzuxodki8pxwSdZkL1CYxbFhl05XOZwB9c2zlgeZ8jgAfjR6T6O8eEbjfgLbomnYewKof0bwHtQ6/eW6p9BPOqClAhfBpb6zKHE5pjsceSxy08lb87E1D8I9v/WHfvj1b9IGVtkVTw9IxrqcX7ggD9Gcaox8fLki21FituFqgExx5Ako3KVQgPSqnzleJMwXh8NAhIe2JKk2gW30BsAseZFpqvJa1gvfKqfRLPL8w3XgwBhUyRJtgt6q+Mm5NDfcfhYOhG+hih/qxFpKmFTBEm9lsL7qAk59G8dPh5mBz/N9Al9uhFs+gVJtgvpdC9S88s9rVpK5n8dsl3IEIWWFSlt/Jd25LWNdnH3DWO8cEM0A5hqFxlm5qWa7SJvjGzzUu0i2+Q87HS7yBMj25x0u8g2Ow873S7yxMg2J90uss3Owb4OYSoa1vR89tkAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$\\frac{1}{k} \\left(k^{2} + 1\\right) \\cos{\\left (y \\right )} \\cos{\\left (k x \\right )}$$"
      ],
      "text/plain": [
       "⎛ 2    ⎞                \n",
       "⎝k  + 1⎠⋅cos(y)⋅cos(k⋅x)\n",
       "────────────────────────\n",
       "           k            "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p = (sym_k ** 2 + 1) * sp.cos(sym_k * sym_x) * sp.cos(sym_y) / sym_k\n",
    "p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute force field (for variable viscosities)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAVoAAAA0BAMAAAA59u3bAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMA74lUMhBEu82ZdiJmq90rlAUJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAJ0UlEQVRoBdVaf4xcVRU+O/Pe7PzYfbsJlGiNduIfhC0NTkMCsTF0N1apJLgjIWlTbXYk/mUiO8QYtC3pGIVsweKmgbRpJH1Fie7iptOIbEgad8pfFGJYFaUUY8f4kxZhoaVYtVm/c+5999335r4FA9Z4krnv3HO+d+439903775vl2gFy+1/eIXs/yK1ZvnNnmG9hgpdSyd7ckRlR+xyhD62/AZdselTPUPdrCNnabzdk6TCYm/sckRu37SernQMdK+O/ZkWGo70Oh075sip0HPOTKVjhwccE4F8BHKVGHOxLYVEWz4ilTfW7QG0H6hgpenIqdCgYTIWxqB5U1ZiL8cZywNILC4RJ51sF5jNHgGdiaHKW49ceVr8oqGUAOVXEfmtKDRejTyiB+CqshLbGmcsj0FscQnV59bJdoQz57jJKV5EG7iHEi+dBtvKknROSJtutj/yFkJr02H0B7iYlFXJXKiOiVZAEnGUcLK9AugCj0mGkGZLdARs6VXO0Vlpe5oyn/m5njBR0I7KqqQ/nAFSYUcJF1uPh8t10RSqhVEcYEm2+zlU6XLba8K22NCJJ0YN4mfwpGwUuS9yrCODlJkSUcC9Egb4Oxen83Ojm6+/kacSlmR7mEOyeseI5rhjmbCVJXTLJ35U2b3offOh2VOcn8FHytK2uScfDYl4xfn7Rmp02+zV5H3/2Rb6APkzIR2tx6sQUW2uuS21kJyoPT7ZWbO8rHFJtpP8Hfo7aK4jekVDooOwHWhh1CYFVFykYActtJHdhY+U9asDZwIAnkHgaM37kHeW+sMtRF30Acrlh+kIljkQKXOx7W8CtHFb/QsWNsl2fBSpoIZmD/nWfSMnCNt8F+toFR57/YvUP0xDHaT+gI+UzdVzb+XB/yYEpih/PqiSd/6LdQoV6CeYrruJuETKXGwxHUSHpmPkNVNTv5+a2isBucsWGvD70IBqnle5/+BrsL+OwiVh6y3Be31HW9i2aChE9yp8pKxPxSZ8GseJF/lYI3ozePtxjgFU7wvpH0RSgkOxudgGTPRvPwxjVHrdLqC8sAVVWTc2NGZ723cvCttmzFaXFfbMtgBatLFB9LZ/zTKPy19psu6df9dseW79C5ULOM9YciXI3PJKKHUpqNYNShxhW+jiR6NOzzd4JWi2WAlRWVlKdKc1txd/SgM8Ii+XA1QexhdBiZS55pbZDiz553IWNslW9jp8lwVNWqhVLRxcYcu3SD6kwY7FdldUNl8/QmV8R77LpoDrm6bCBYzwW/QBonv4irzbu2ywSYTP+Wy28pvAP1ITXTr0RA0DWCZsS1WwWEX9bUxsNLf4wVJlJ2u76RjO2IfP0Q5d611JxSoe6TvRB4j202QH160KN2muueXLgImbecyCRnP7yJq9HaLjnOErtXHfbHktd2Ir/eLvmKPiKADrfny1d/rS7acvfXL3hwHAhVdlt89u+14HgW/j47/0aJue+uhv6I5nn26gDxBtX3uorUqgY5uLrXro2ijrLpOwPMv4yevarAsifiTFdfjJa5vzYahAB4BzlHCxlfvSLgv/84n+/dI7QbQ6EbY6qQmXTLxhUcCsXc1gy+f7zVHCyZbX00rmy44Hi7KCHxqn+S1XmNelZe4d404KOv0hlkjLgmrXyXasF5eIDCxKt9IsdBPxuNOfuugqMx8D2EuR18l5Ksw+BN9Vwsl2sKbPzDgEoyrB97XbnnOGKx07/H696bgugj3O03bncvrpud0sg398RQqV5orp/2IyxfYzv5Ox8g0z5Mg36sbXTqkngl3eZdFJUmxlEyekPq2o5dqDLU3SPoRRx2soz62TqFw5Ar/nYxZbT1/toO390zHIV6LYzdpx6yQq+f6pJVlsi/pqB43kXkyTy3W0c68+ZugkKrtOg97zIYvtQVNZdtumFzl/Uk4pjALk1ElUVqslBqod/QP4Dr9kCqxAGWwreFr5d3UZGYTcpm1GBVgn0arOmTQk7penI9+zHtXmp+XlKJs44lGiGUhYQBls5ZW1KIOMJGqgw1oMLaioJPewL2eoYKJlbaeyFIU8S88stnXU/QR+AFnFQGACymDbVwNkiBuzFcHeWkxpMUFHOqyTKPnlhPRNo9FK29FqiUkqx5yRtbvRDBRaQGm261VuvI6j7LnvoC+pUMRWvRuUmhwVnUQ2mLFOkkIf4Upqh6kypsWGU1m2ZiMMLFCK7VOvn5LkcW6vw8f71vVfkwi/tyiTdwPesWPiuc110cQ6CTowgxa2h1UQa2JT5NlSz30mGDuyu2UGkTEoxTZK8W4YWsGGF/qWl5dU0Iyv3hJl0yjvuyK/KJ1kzCg3Bi1sZY5YjJm/RJs/eMtciJJ86207SBXcBbz6HZqNYmALOxls7+bzz5Wf/BeO2sz4wpZfobGra6IR+UWBMBevKM+gha284m5hMWYv0V/CCj9w+jtE1fVUxmQ8g65Ds1EMbGEngy2KQtZ4zEfFyMz4wlY9M4qLyFqqTqzcGLSwXWgAJ2LMPUR3EfEk4AW/UjsgX/gmdB2ajWJgCzvCdisLLa/hnW6ZDafKDJVYRtGWm5p68ANTU0xO3WUV0ZOCafRjVSdSbmy0YlsDTsQYsP06sRLD4omPN6WhMFOzIWFgCTtZ65bnNji1A60xM1vpuY1VHUu5Meh4bkWMAVusMs2WRWJeJFmajWbAX0hAabaHq5wgXl400ZALKH00Zny1bmWvwyshkl8AKXWNcmPQwna8jayIMTFbkXpaxD8Xd6JKpIfZmo1mwF9Ivbqn1m3Q4ATRi/g8j/unyh1lZnxhq97iB5uR/CKYIFZuDFrYTtaR38BiTMyW7zJIMghkajbCwBZ2UmwnuCyMv/GLNDRa5Y4yM76wlV9akavAOFJ1JmLlxqCF7XEuIWIMloFeCfyoLjULfMNlaTbCwBZ2UmxxTcR4MnZR+aAmz7FofKXFqGcZzzDmKFJ1LOUmQittZz8XYDHm1uVf37r8wo1vLCqpx//lDK8o3N9OzUYY2MJOiu2IN8eFRe0UJ26i8VWkGMrxqjgP72TcS6LvjxOxJ0/eUivjDxhOYSfF9js3qLVQqsZVtee37ZBeMkmdZHWMSKC1WhJnxcOu5iRuZTy6w1SGu2Y3pXOuXc2lUZX0hjUo6/BzlRiz85nKzQAufK9B3niV+Edya28OkZ3JqICSc+ut/qrG/CqJ7en9UUUGa1am0LU6thupJXYMC6BJX54ZRSzFS6Pmk2gBJdmWm2OeArm/rykwUFWu3zKhFZwMteSYOuU/etOx/+LfH342p0rkp1cYnch88ZV1ElXDvNKsWPKdk/wXf/u/KYrtwR/os25Y8eyHo2y+EXnZR5dako3OzvB/U/xf2b8BsqDdlxVHjgIAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}\\left(k^{2} + 1\\right) \\left(\\mu - 1\\right) \\sin{\\left (k x \\right )} \\cos{\\left (y \\right )}\\\\- \\frac{1}{k} \\left(k^{2} + 1\\right) \\left(k^{2} \\mu + 1\\right) \\sin{\\left (y \\right )} \\cos{\\left (k x \\right )}\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡  ⎛ 2    ⎞                           ⎤\n",
       "⎢  ⎝k  + 1⎠⋅(μ - 1)⋅sin(k⋅x)⋅cos(y)   ⎥\n",
       "⎢                                     ⎥\n",
       "⎢ ⎛ 2    ⎞ ⎛ 2      ⎞                 ⎥\n",
       "⎢-⎝k  + 1⎠⋅⎝k ⋅μ + 1⎠⋅sin(y)⋅cos(k⋅x) ⎥\n",
       "⎢─────────────────────────────────────⎥\n",
       "⎣                  k                  ⎦"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def laplacian(term):\n",
    "    return sp.diff(term, sym_x, sym_x) + sp.diff(term, sym_y, sym_y)    \n",
    "\n",
    "\n",
    "symForce = sp.Matrix([- sym_mu * laplacian(sym_vel[0]) + sp.diff(p, sym_x),\n",
    "                      - sym_mu * laplacian(sym_vel[1]) + sp.diff(p, sym_y)])\n",
    "symForce = sp.simplify(symForce)\n",
    "symForce"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_field_from_term(start, end, points, term):\n",
    "    \"\"\"Get a numpy array from a symbolic description.\"\"\"\n",
    "    xc, yc = np.meshgrid(np.linspace(start[0], end[0], points[0]),\n",
    "                         np.linspace(start[1], end[1], points[1]), indexing='ij')    \n",
    "    result = np.zeros(tuple(points) + (2,))\n",
    "    result[:, :, 0] = sp.lambdify([sym_x, sym_y], term[0], 'numpy')(xc, yc)\n",
    "    result[:, :, 1] = sp.lambdify([sym_x, sym_y], term[1], 'numpy')(xc, yc)\n",
    "    return result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Non-dimensionalization\n",
    "\n",
    "Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "cells = 100\n",
    "domain_size = np.pi\n",
    "k = 2\n",
    "mu = 1\n",
    "density = 0.1\n",
    "relaxation_rate = 1.2\n",
    "method = 'srt'\n",
    "force_model = 'guo'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Force factor 3.827935392629609e-08\n",
      "VelFactor    0.000349065850398866\n",
      "dx           0.031415926535897934\n",
      "dt           1.0966227112321513e-05\n",
      "Re           0.3141592653589793\n"
     ]
    }
   ],
   "source": [
    "replacements = {sym_mu: mu, sym_k: k}\n",
    "\n",
    "dx = domain_size / cells\n",
    "dm = dx**3 * density\n",
    "nu_l = lattice_viscosity_from_relaxation_rate(relaxation_rate)\n",
    "nu_phy = mu / density\n",
    "dt = nu_l / nu_phy * dx**2\n",
    "forceFactor = dt**2 * dx**2 / dm\n",
    "vel_factor = dt / dx\n",
    "Re = vel_factor * cells / nu_l\n",
    "\n",
    "print(\"Force factor\", forceFactor)\n",
    "print(\"VelFactor   \", vel_factor)\n",
    "print(\"dx          \", dx)\n",
    "print(\"dt          \", dt)\n",
    "print(\"Re          \", Re)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setting up velocity field:|"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$\\left[\\begin{matrix}\\sin{\\left (k x \\right )} \\cos{\\left (y \\right )}\\\\- k \\sin{\\left (y \\right )} \\cos{\\left (k x \\right )}\\end{matrix}\\right]$$"
      ],
      "text/plain": [
       "⎡ sin(k⋅x)⋅cos(y)  ⎤\n",
       "⎢                  ⎥\n",
       "⎣-k⋅sin(y)⋅cos(k⋅x)⎦"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sym_vel"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setting up force field:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$4.781968159653842e-07$$"
      ],
      "text/plain": [
       "4.781968159653842e-07"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def get_force_field(start, end, points):\n",
    "    x, y = np.meshgrid(np.linspace(start[0], end[0], points[0]),\n",
    "                       np.linspace(start[1], end[1], points[1]), indexing='ij')\n",
    "    force_val = np.zeros(tuple(points) + (2,))\n",
    "    force_val[:, :, 1] = -(np.cos(k * x) * np.sin(y) * (k ** 4 + 2 * k * k + 1)) / k\n",
    "    return force_val\n",
    "\n",
    "\n",
    "force = get_field_from_term((dx / 2, dx / 2), (np.pi - dx / 2, np.pi - dx / 2), [cells, cells],\n",
    "                            symForce.subs(replacements)) * forceFactor\n",
    "\n",
    "plt.vector_field(force, step=8)\n",
    "np.max(force)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "offset = dx / 2\n",
    "analytical_solution = get_field_from_term(start=(offset, offset),\n",
    "                                          end=(np.pi - offset, np.pi - offset),\n",
    "                                          points=[cells, cells],\n",
    "                                          term=sym_vel.subs(replacements))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario set up:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "force = force.copy(order='F')\n",
    "forceWithGl = add_ghost_layers(force, index_dimensions=1)\n",
    "forceField = Field.create_from_numpy_array('forceArr', forceWithGl, index_dimensions=1)\n",
    "initialVelocity = analytical_solution / dx * dt\n",
    "\n",
    "sc = create_fully_periodic_flow(initial_velocity=initialVelocity, method=method,\n",
    "                                force=(0, forceField(1)), force_model=force_model,\n",
    "                                kernel_params={'forceArr': forceWithGl},\n",
    "                                relaxation_rate=relaxation_rate,\n",
    "                                compressible=False, equilibrium_order=1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# View generated code\n",
    "#show_code(sc.ast)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Boundary set up:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "pi = np.pi\n",
    "repl_sym_vel = sym_vel.subs(replacements)\n",
    "vel_x_lambda = sp.lambdify([sym_x, sym_y], repl_sym_vel[0], 'numpy')\n",
    "vel_y_lambda = sp.lambdify([sym_x, sym_y], repl_sym_vel[1], 'numpy')\n",
    "\n",
    "offset = 0  # 0.5*dx\n",
    "\n",
    "ubb_arr = np.zeros((cells + 2, cells + 2, 2))\n",
    "# Left Border\n",
    "ubb_arr[0, 1:-1, 0] = vel_x_lambda(offset, np.arange(0.5 * dx, pi, dx))\n",
    "ubb_arr[0, 1:-1, 1] = vel_y_lambda(offset, np.arange(0.5 * dx, pi, dx))\n",
    "# Right Border\n",
    "ubb_arr[-1, 1:-1, 0] = vel_x_lambda(pi - offset, np.arange(0.5 * dx, pi, dx))\n",
    "ubb_arr[-1, 1:-1, 1] = vel_y_lambda(pi - offset, np.arange(0.5 * dx, pi, dx))\n",
    "# Lower Border\n",
    "ubb_arr[1:-1, 0, 0] = vel_x_lambda(np.arange(0.5 * dx, pi, dx), offset)\n",
    "ubb_arr[1:-1, 0, 1] = vel_y_lambda(np.arange(0.5 * dx, pi, dx), offset)\n",
    "# Upper Border\n",
    "ubb_arr[1:-1, -1, 0] = vel_x_lambda(np.arange(0.5 * dx, pi, dx), pi - offset)\n",
    "ubb_arr[1:-1, -1, 1] = vel_y_lambda(np.arange(0.5 * dx, pi, dx), pi - offset)\n",
    "\n",
    "\n",
    "ubb_arr[0, 0, 0] = vel_x_lambda(offset, offset)\n",
    "ubb_arr[0, 0, 1] = vel_y_lambda(offset, offset)\n",
    "\n",
    "ubb_arr[0, -1, 0] = vel_x_lambda(offset, pi - offset)\n",
    "ubb_arr[0, -1, 1] = vel_y_lambda(offset, pi - offset)\n",
    "\n",
    "ubb_arr[-1, 0, 0] = vel_x_lambda(pi - offset, offset)\n",
    "ubb_arr[-1, 0, 1] = vel_y_lambda(pi - offset, offset)\n",
    "\n",
    "ubb_arr[-1, -1, 0] = vel_x_lambda(pi - offset, pi - offset)\n",
    "ubb_arr[-1, -1, 1] = vel_y_lambda(pi - offset, pi - offset)\n",
    "\n",
    "ubb_arr *= vel_factor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from lbmpy.boundaries import UBB, NoSlip\n",
    "from pystencils.slicing import slice_from_direction\n",
    "\n",
    "velField = Field.create_from_numpy_array('ubbField', ubb_arr, index_dimensions=1)\n",
    "myUbb = UBB(velocity=(velField(0), velField(1)), adapt_velocity_to_force=True)\n",
    "\n",
    "for direction in ('W', 'E', 'S', 'N'):\n",
    "    sc.boundary_handling.set_boundary(myUbb, slice_from_direction(direction, dim=2))\n",
    "\n",
    "plt.boundary_handling(sc.boundary_handling)\n",
    "\n",
    "sc.kernel_params['ubbField'] = ubb_arr"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Run"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/latex": [
       "$$0.0007012618474408325$$"
      ],
      "text/plain": [
       "0.0007012618474408325"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sc.run(20000)\n",
    "plt.vector_field(sc.velocity[:, :], step=4);\n",
    "np.max(sc.velocity[:, :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "L2  Error 0.007035092839391688\n",
      "Inf Error 0.010440166565635706\n"
     ]
    }
   ],
   "source": [
    "simulated_solution = sc.velocity[:, :] * dx / dt\n",
    "l2_norm = discrete_l2_norm_by_number_of_nodes(simulated_solution - analytical_solution)\n",
    "inf_norm = discrete_linf_norm(simulated_solution - analytical_solution)\n",
    "assert l2_norm < 0.008\n",
    "assert inf_norm < 0.11\n",
    "print(\"L2  Error\", l2_norm)\n",
    "print(\"Inf Error\", inf_norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gQQMOHjyo4ioiIvmcZcGvn5C5YTo+x7dyxgpjjnMIZ6r2Y0zbOtQrG2J3QrlKxhhaVilGyyrtiD3YmPs+G0z5/csZe2AtRQ/cRmbZZvhETYXKN2slYhHxLP8wM3q9VKtWja1bt7J27Vruv/9+2rdv/6fXfXx8MFmflw6HAz8/v4v3nU4nAN7e3rjd7ovvSUtL+9t+NmzYwPr169m8eTOBgYFERUVdctwfXenw3//lAPDy8rqYJSfpHFcREfEcv28hc15bWNaPE8cO80DmSKZXW87tk55i5rBWKq15WGTFMOaMjKLL+Gd5LGI5j2QO5czhvfBGTzIXdIKjP9gdUUTEdseOHSMwMJBBgwYxZcoUfvjh2j8bK1asyLZt23C73Rw+fJjvvvvub2Pi4+MJDQ0lMDCQPXv2sGXLlouv+fj4kJmZ+bf3tG7dmhUrVuByuTh9+jQbN26kadOm15zv39KMq4iI2O/MXpyfPor3rx9y1grlFddoXPX6M7ZNdSqFB9mdTnJQ3bJFeHVoC349WZfnPx9E0M6l3Pn7KopGt8FVqydebR+BsAi7Y4qI2GLHjh3cc889OBwOfHx8mD17NlOmTLmmbbRs2ZKIiAjq1q1LnTp1aNSo0d/GdOjQgTlz5lCvXj2qV69Os2bNLr42ZswY6tWrR6NGjVi6dOnF53v06MHmzZupX78+xhimT59OyZIl2bNnz7//ha+BLocjIiL2STyJa8PTmB+WkGL5MjuzC8dqDOPOjg2IKKZrgBYEe08m8srarVT9bRFjvNfia1yYpqNx3DQVAnUes4jknoJwORw7ZfdyOJpxFRGR3JeehLXpVVxfzwBXOq87b+HrUiOY0KUZjcqH2p1OclHVEsHMHB7Ft/vrMuGDnrQ7tYB+384l84c38G79X0yzceATYHdMERGxmYqriIjkHrcbfnqTzE8fxSf1DJ+4mvJW4REM6nQz0TWLX1xwQgqeGyoVpemkLqzd0YQRH33K4KSFtP3sMTK2zMW3w5NQp5cWcBIRKcC0OJOIiOSOEzvJiLkV3r+D7cmhjPCaRkKX+cy/ux/tapVQaRWMMXSqV4ro/w7maMdFjHY8xi+JfvDOSDIWdoEze+2OKCIiNtGMq4iIXF/pibi/eBq+nUOyO5BH3WMJv3EEM6OqEOir/w3J3/l6OxjaoiI9G03ktc/bs3JTNP/9fQVes5phWk7G0XoK+AbaHVNE8iHLsvQPqddBTqyrpMWZRETk+rAs2PUuGWvvwzvlFMudbfi6wh3c27M5FYpq4SW5entPJvL8qq9of+w1enl9RUZQWXy7PA/VO9odTUTykQMHDhAcHEzRokVVXnOQZVnExcWRmJhIRMSfV42/lsWZVFxFRCTnndlHxpq78T30JTvdFXnZbxy9u3Xn1tol9WVA/hXLslj90zE+XLOSKZlzqeY4SmblW/Hp/ByEVrA7nojkA5mZmRw5coS0tDS7o+Q7/v7+lC1bFh8fnz89r+IqIiL2cGbg/uoFrI0vkGJ586KzH/4txjCpbXUdFiw5IiEtk5c/2Y3393O4y3sVvg7wuvl+TPOJ4KX/xkRE8hIVVxERyX3Ht5O+cix+cbt539WCD0tN5J5eralaItjuZJIP7Twaz8urvqDPqVe51SuW9BIN8es9F8Kr2x1NRESu0rUUV60qLCIi2ePMwP3F07jntSH+zDHuZCrO7tHMHX+bSqtcN3XKFGHeHd2I67SAKdZdpJzYh2t2K9xfvQxul93xREQkh2nGVURE/r0TO0h/ewx+cbt519WSDRFTeLB3C4oX9rc7mRQgR8+nMu2tL+l8+Hk6en1PeolGWbOv1eyOJiIiV6AZVxERub5cmRdmWedGkXDmKJOZiukZzcvD26i0Sq4rExLAzNG3cr7zfO6xJpNyYi+u2S1xf/2KZl9FRPIJzbiKiMi1ObGT9JVj8DuzS7Os4nH+N/va5fDzdNDsq4iIR9OMq4iI5DzLwr1pFq65USScPsJd3KNZVvE4f559vZPUE7/inH0jVuzCC9cWFhGRPEkzriIi8s+STpP+zlj8DnzGOldjPox4kAf6tKR4sAqreK6j51N5+q0N9D38FK29dpBRtRO+PWZCYJjd0UREBM24iohITtr3Gekzm8GBjTzuHsGpTgt4afjNKq3i8cqEBDBjVAd+bbeIZ1wDMXs/IX1mczj4jd3RRETkGuVIcTXGLDDGnDLG7LzM61HGmHhjzLas2yM5sV8REbmOnBk4P34A3ujJwRR/Jge/yIA7nmBgs4oYY+xOJ3JVHA7DqNZV6DzuaSYFPsOxJAv3os64PnsSXE6744mIyFXKkUOFjTGtgSRgiWVZdS7xehQwxbKszteyXR0qLCJikzP7SFsxDP/TO3jd2ZZDkQ8ypVN9/H287E4m8q+lZDh55r1Y6u14it5eG0kv1QS/vvMhtILd0URECqRcP1TYsqyNwNmc2JaIiNjL+nEpmbNbkXbqAHc7plJ64Gs81L2RSqvkeYG+3jzRtxkBfeZxL3eSeWwnmbNaws5VdkcTEZF/kJvnuDY3xvxkjPnIGFM7F/crIiJXIzOVjFUTMO9PYGtmRR4pNZf77vovt9QsYXcykRzVqV4pJk2+n6nFZrEzowSsHE7mB1PAmWF3NBERuYwcW1XYGFMR+OAyhwoXBtyWZSUZY24DXrEsq+pltjMGGANQvnz5xocOHcqRfCIicgXnDpK2dBD+Z3Ywy9Udr5sfZMxNVXE4dC6r5F9Ol5tZ6/dQ6KsnGOX9EWklI/Ef8DoULm13NBGRAsHjVhW2LCvBsqykrPtrAR9jTLHLjJ1nWVakZVmR4eHhuRFPRKRg+/VTMl67kYzTv3G31300GfES49pUU2mVfM/by8HkW2tRbcirTDX/wX18B+mzWsGBjXZHExGRv8iV4mqMKWmylqA0xjTN2m9cbuxbREQuw+3C9dlTuN/sy770UB4sPpP77voPTSN0jUspWFpXC2fy5HuZGvoyh1P9cC/uhuurl8CDr3UvIlLQeOfERowxy4AooJgx5gjwKOADYFnWHKA3MN4Y4wRSgdutnDpGWURErl3KWdJWjMD/0BesdLVm/w1P8GLH+vh46fLeUjCVCQnghYn9ePb9yjTa9jCdP3uMtN+/x7/XHPAvbHc8EZECL8fOcb0edDkcEZHr4NiPpC0diCP5JNOsEdzQ6z90rKdz+kT+Z9XWw/zy/rPc41iKs3B5/AcugxK17I4lIpLveNw5riIi4hncP76JM7o9cUnp/KfQswye+KhKq8hf9Gxcju7jp/Ef//8jIf48mXPbYO16z+5YIiIFmoqriEhB4HaR+fFDON4fz7fOqsysEsP0O4dROTzI7mQiHqlmqcI8OXks0yvMY7uzHObtoWR+/rTOexURsYmKq4hIfpeWQNrrffHZ8iqvu9rx8y0LmTYoikJ+ObLMgUi+VSTAh+nD2rO51WLecd2Iz8ZnSFs2BDJS7I4mIlLgqLiKiORnZw+QOudmvA98zpPWSMoOeo1RUdXJWuhdRP6Bw2GY2L42gX3mMd09CN9f15A6rx3EH7U7mohIgaLiKiKSXx34ivTZUaSfO8YU/8e4/Y7HaVO9uN2pRPKkjvVKc9vYaUz1vh/X6d9Im30THNECkiIiuUXFVUQkH3J/vxDXkm4cTg/k8ZKv8uik8VQpHmx3LJE8rU6ZIkydPJkHi77IyRSDc35H3NuW2x1LRKRAUHEVEclPXE4y1kzB8eFdbHTWYUWDhUwf04PQQr52JxPJF4oH+zN9Qj/m14jhe2cVHO+NJfOTh8HtsjuaiEi+puIqIpJfpCeSurg3vlujiXF14thti3iwZzN8vPRRL5KT/Ly9eLx/a3bdsoilrlvw2TyDtDcHQWaq3dFERPItfZsREckPEo6TMrc9Pr9/yRNmLLWGzWBg80p2pxLJt4wxjIqqTukBs3nGGorvvo9Iib4Nks/YHU1EJF9ScRURyetO/Uzq7DZYcb9xv9+DDJrwCC0qF7M7lUiB0KZmCbqNe5IHvafgOLmD1Nk3Q9xvdscSEcl3VFxFRPKy/V+SMa8tiSmpPBz6HPdOmkSl8CC7U4kUKDVLFebOSf/l/uBppCbGkTb3Fjj8nd2xRETyFRVXEZE8yr1tOa7Xe3Iwowgvln+NpyYMoliQn92xRAqkUkUCeGLicKaVepXjab44F3bG2v2+3bFERPINFVcRkbzGssj8YjqO98bynbMaqxos4KnhtxHg62V3MpECLdjfh6dHd2dJrWi2O8thvTUU56bX7I4lIpIvqLiKiOQlrkzSVk3E58uneM/Vkj3tFnFfz2Z4OYzdyUQE8PFy8Ei/1mxutYhPXZF4f3o/6R9M1eVyRESyScVVRCSvyEghZUk//He8wWx3D/z6xDC8dXW7U4nIXxhjuKN9XZK7zWehqwN+sXNJXTYEnOl2RxMRybNUXEVE8oKUsyTP74z/oc950oyh6ciX6FivtN2pROQKekVWoPrQWTzHEAL2fkDKwp6Qnmh3LBGRPEnFVUTE0yUcI3nerfic+ImHfaYwYMKjNK4QancqEbkKLaoUo/PYp3jUaxK+RzeRrGu9ioj8KyquIiKeLO43Uua0xTr3Ow8VepRJE6focjcieUzNUoUZOeEBHva7D6/TP5Mytx2cP2x3LBGRPEXFVUTEUx3/ibS5bUlNTuCxsGd4YOI4ShbxtzuViPwL5YsG8p+Jk3mo8JM440+QOrctnP7F7lgiInmGiquIiAeyDmwkI6YjZ9IdTC/9Ck+MH0xIoK/dsUQkG4oH+/PIHSN5Ivx5ElPSSJ/XDo7E2h1LRCRPUHEVEfEw7t1rcC3pxcHMEOZVfo3/G9mDQF9vu2OJSA4o7O/Dk2Nv58Vyr3Ii3Y+MBZ2x9n1mdywREY+n4ioi4kGcW5fAW0PY7irPuw1ieGxQe3y99VEtkp/4+3jx5PDOLK4xl33O4riW9sW94x27Y4mIeDR9GxIR8RCZm17De80kvnbVZkurhUzt0RyHw9gdS0SuA28vBw/3b8PHkTFsdVWBd0Ze+IcrERG5JBVXEREPkLHheXw+vZ+PXU043HEhE9rXwxiVVpH8zBjD3V2bsiNqPl+76uC9ZhKZm+bYHUtExCOpuIqI2MmySP/0CXw3/B+rXS1I6RrNwBZV7U4lIrlo1M11ONxhAetcjfH59F4yv3zJ7kgiIh5HxVVExC6WRdqH9+O36QXecrXBq3c0PZtE2J1KRGwwsGU14rvEsMbVDJ8vHiN93ZNgWXbHEhHxGCquIiJ2cLtJfW8y/rGzWeLuQNH+s+lUv6zdqUTERr2bVoJeMax03YTfN8+RtvZBlVcRkSwqriIiuc3lJGXlWAJ+Wky0uxuVB8/kllql7E4lIh6gS4NyhNw+l6Wu9vh/P4vU9/8DbrfdsUREbJcjxdUYs8AYc8oYs/MyrxtjzAxjzD5jzHZjTKOc2K+ISJ7jyiR52XACd7/FTKsvDYa/RMuq4XanEhEP0rZ2KcoPnsV8d2cCti0kZeV4cLvsjiUiYqucmnFdBHS4wusdgapZtzHA7Bzar4hI3uFMJ+n1ARTat5oXzBBaj36OJhFF7U4lIh7oxmrFqTtsBq9ZvQncvZzk5SPA5bQ7loiIbXKkuFqWtRE4e4Uh3YAl1gVbgBBjjI6LE5GCIzONpCW3E3TwU55xjKLT2KeoVzbE7lQi4sGaVipKi1Ev8DIDKfTreyQvGwauTLtjiYjYIrfOcS0DHP7D4yNZz4mI5H//K62/f840r7H0Gf84NUoWtjuViOQBDcqF0H7MM7xohlBo3xqS3xym8ioiBVJuFVdziecuuUyeMWaMMSbWGBN7+vTp6xxLROQ6y0wjaUk/gg5/wTSvcfQf/yiVw4PsTiUieUit0oW5bexTvGCGUui3D0h6c4jKq4gUOLlVXI8A5f7wuCxw7FIDLcuaZ1lWpGVZkeHhWrBERPKwzDSSFvcl6PAGpnmNp//4R4goVsjuVCKSB9UoWZjOWeU16Le1JC1VeRWRgiW3iutqYEjW6sLNgHjLso7n0r5FRHJfZipJi/sQeGQj07wnMGD8wyqtIpIt1UsG02XcUzzvGE7Q/rUkvTEYnBl2xxIRyRU5dTmcZcBmoLox5ogxZqQxZpwxZlzWkLX/S2iDAAAgAElEQVTAfmAfEA1MyIn9ioh4pMxUkhb1IfDIVzztPYGB4x+iokqriOSAaiWC6Tb2/3jOMYKgAx+RtHSQyquIFAjGsi55qqlHiIyMtGJjY+2OISJy9TJSLsy0Hv2Gp70nMnj8A5QvGmh3KhHJZ/adSmTVnEeZ6p5PUsStBA18A7x97Y4lInJNjDFbLcuKvJqxuXWosIhI/peRQtKi3gQe/YZpPhMZMkGlVUSujyrFg+k57gmmO0YRdOATkl4foJlXEcnXVFxFRHJC1kJMgcc2Mc1nIkPHP0C5MJVWEbl+qhQPotf4x3nWMZqgQ+suHDasBZtEJJ9ScRURyS5nBomvDyDo6Fc84z1BpVVEck3l8CD6jH+M5xwjL8y8LhsOLqfdsUREcpyKq4hIdrgySVo6iODfP+NZ77EMGv+QSquI5KpK4UH0GPc4L5vBBO1bQ9JbY8DtsjuWiEiOUnEVEfm3XE6Slg0n6MAnPO8YSd9xj+qcVhGxRZXiwXQYO41XTX+CfnmH5JV3gNttdywRkRyj4ioi8m+4XSS9NYagfWt42TGY7uMe13VaRcRWNUoWps2oZ5lDbwrtXkbye3eBB189QkTkWqi4iohcK7ebpJV3EPTLO8w0t9NhzDSqFA+2O5WICHXKFKH5iOeZb3Wj0PbFpKy+R+VVRPIFFVcRkWthWSS/O5mg3cuYQ2+iRk2nRsnCdqcSEbmofvlQGgx/iSXWbQT+GE3K2gdVXkUkz1NxFRG5WpZFyuopFNqxhPlWN5qPeJ46ZYrYnUpE5G8aVyxK9SGv8qa7PYHfzyL10yfsjiQiki0qriIiV8OySPnoYQJ/jGGJdRsNhr9M/fKhdqcSEbmsGyoXo8LgWbzlvpmAzS+S9tl0uyOJiPxrKq4iIlch9fPpBH73Ksvd7ag+5FUaVwyzO5KIyD9qWbU4JQbO4X13K/y/eor0b16zO5KIyL+i4ioi8g/Sv55FwFfTeN/dirKDXuOGysXsjiQictVuql6CwD5z+dQdid+6+8mMXWJ3JBGRa6biKiJyBZmxS/Bb/wCfuJsQ2GcuraoVtzuSiMg1a1e3LOndYvjKXRevDyaTuX2V3ZFERK6JiquIyGVkbl+F1weT2eiuS0a3aNrVLWt3JBGRf61L4wiO3RpDrLsqjlWjcO352O5IIiJXTcVVROQSXHs+xrFqFLHuqpzoEEOXxhF2RxIRybZ+LWvwc5todrnL414xGPf+jXZHEhG5KiquIiJ/4d6/EfeKwex2l+PnNtH0bVHD7kgiIjlmaJv6bGo+jwOucDLf6It1+Hu7I4mI/CMVVxGRP7AOf0/mG3054ApnU/MYhrapb3ckEZEcN7ZDEz5qOJvjzsKkLeoJJ3baHUlE5IpUXEVE/ufETtIW9eSEM5iPG81hTIdIuxOJiFwXxhju7N6at2rP5LzTm5T5XeDMPrtjiYhcloqriAhA3G+kzO/Keac3b9eayaRuN2KMsTuViMh1Y4xhSp92LKz0EikZTpJiOkP8EbtjiYhckoqriEjCcZJiOpOWkc6iSi9xd9/2Kq0iUiA4HIapg7ryWtnpuFPPkxjdBZLj7I4lIvI3Kq4iUrClnCUhujOknGVW6WeYMqgrDodKq4gUHN5eDqYO68tLxf4Pn8TDJMR0hfREu2OJiPyJiquIFFwZycTP74F/wkFeKPoY94wYgI+XPhZFpODx9/Hiv2OG81zh+wk8u5v4hX0gM83uWCIiF+kbmogUTM504hf1I+jMTzwbfC//GTMKfx8vu1OJiNgmyM+bO8ZN4rmAyRQ5sZn4pUPB5bQ7logIoOIqIgWR20XCmyMocuwrnvefyPhxkyns72N3KhER24UV8mXouHt5yWskRQ5+TOLbE8Cy7I4lIqLiKiIFjGWR+M4kCu//gBleQxk47gGKBfnZnUpExGOUDgmg67gnmGf6ELxnBUkf3KfyKiK2U3EVkQIlee3DBO9aynx6cNvYpygbGmh3JBERj1M5PIgWI59nqdWBoK1zSPn8ObsjiUgBp+IqIgVG6oaXKPT9q6yw2hI54iWqFA+2O5KIiMeqUzaEykNmssbdksCvniJtS4zdkUSkAFNxFZECIT32dQI2PMZadzPKDXyN+uVD7Y4kIuLxmlUOJ7DvPL5wN8D34ylk7njX7kgiUkDlSHE1xnQwxvxijNlnjLnvEq8PM8acNsZsy7qNyon9iohcDeeej/D+4E6+cdfGq9c8WlQrYXckEZE845Y6ZUnoHMOP7iqwajSu/RvtjiQiBVC2i6sxxguYBXQEagH9jTG1LjF0hWVZDbJuOtZERHKF+9AW3CuGsstdgWMd5nNr/Qp2RxIRyXO6Na3KrpuiOeAqTuYbt2Md/8nuSCJSwOTEjGtTYJ9lWfsty8oAlgPdcmC7IiLZYp3cTfqS3hxxhfJ9i7n0aVHT7kgiInnWkFsa8mmj2cS5/ElZ0B3O7rc7kogUIDlRXMsAh//w+EjWc3/Vyxiz3Riz0hhTLgf2KyJyefFHSF7QnUSnF6vrzmTErU3tTiQikufd0a01S6u+REZGBokxXSHplN2RRKSAyIniai7x3F8v9rUGqGhZVj1gPbD4shszZowxJtYYE3v69OkciCciBU7KWRKiO+NOS2BBxee5s1dbjLnUR5WIiFwLYwx39+/Ca6Wm4ZV8iviYbpCWYHcsESkAcqK4HgH+OINaFjj2xwGWZcVZlpWe9TAaaHy5jVmWNc+yrEjLsiLDw8NzIJ6IFCgZycTHdMcv8Qgziv8fdw/uhcOh0ioiklO8vRzcPWIQL4U+SOC5Xzi/qC840//5jSIi2ZATxfV7oKoxJsIY4wvcDqz+4wBjTKk/POwK/JwD+xUR+TNXJucXDyAobjvPF76Xu0YNx9dbV/0SEclpAb5eTBwzgRcD7yTkxGbilw4Dt8vuWCKSj2X7G51lWU5gIvAJFwrpW5Zl7TLGPGGM6Zo17E5jzC5jzE/AncCw7O5XRORP3G7iV4wl5OgGXvKfwLixdxLk5213KhGRfKtIoA9Dx93HDO9hFDmwloRV/wHrr2eLiYjkDGN58AdMZGSkFRsba3cMEckDEtc8QPDWWczx6k/niS9SNjTQ7kgiIgXCb6eT+Oq1CQyz3iep5X0Etbvf7kgikkcYY7ZalhV5NWN1DJ2I5HkpX84geOssltOeqFHPqrSKiOSiyuFBNBz+Cu+7byTom2dI/XaR3ZFEJB9ScRWRPC1j29sEfvEwn7ibEjFoFjVKFbE7kohIgVO/fCgh/eey0V0P34/+Q+bPH9kdSUTyGRVXEcmzXPs2YN4bz3fuGphe0dxQpbjdkURECqybapYhrlMMu9wVsN4aivv37+2OJCL5iIqriORJ1vHtZL7Zn/3uEhxoG037+hXtjiQiUuD1uKE6W1vN5ZgrhLQlveDMXrsjiUg+oeIqInnPuUMkL+jBWZc/X0TOpl/renYnEhGRLMPaNeX9uq+SkmmRGNMVEk/YHUlE8gEVVxHJW1LOEh/TFVdGCsuqvsTYLjfanUhERP7AGMPEXu2ZX346jtQ44qO7QlqC3bFEJI9TcRWRvCMjhfMxPfBPOsprpZ5icv+uGGPsTiUiIn/h5TBMHtKXV4o+TGD8Ps4t6gfOdLtjiUgepuIqInmDy8n5JQMJjvuJF4vcy+QRQ/D20keYiIin8vfxYuKYcbxc6E5CT2zi/LJR4HbbHUtE8ih96xMRz2dZxK+cRMiRz3nVfyxjx04m0Nfb7lQiIvIPCvv7MGTcfbzmPZiQ31aTsOZ+uyOJSB6l4ioiHi/x06cp8vObLHD0pNfYRwkr5Gt3JBERuUolCvvTfvTTLKMDhX+cQ/KXM+yOJCJ5kIqriHi01O8WE7z5Wd63WtN0xEuUCwu0O5KIiFyjKiWCqTpkJp+4mxLwxSOk//SO3ZFEJI9RcRURj5W55xN8197FV+56FB0wlzplQ+yOJCIi/1JkpXBMr2i2uqvieHcszv1f2R1JRPIQFVcR8UjuIz/gXjGEn93lOdc5hlbVS9sdSUREsql9/Yr8dksMh9zhZC69HevkbrsjiUgeoeIqIp7n7AFSF/XktDuI71vMoWvT6nYnEhGRHHL7TfVZ12gWiU5vkuZ3h4RjdkcSkTxAxVVEPEtyHPExXcnIzOSdmjMYdmszuxOJiEgOG9etDUsqPQ/pCZyP7gpp8XZHEhEPp+IqIp4jI4Vz83vgl3ycuWWmMbHvbRhj7E4lIiI5zBjDnQN7MSv8EQol7Ofcgr7gTLc7loh4MBVXEfEMLifnXh9MkbjtvBJyL3cNH4SXQ6VVRCS/8vV2cMeo0bxSaDKhp7ZwbtkocLvtjiUiHkrFVUTsZ1mcX/UfQg+v51X/0YwZMxl/Hy+7U4mIyHUW7O/DkHH3Mtt7EKG/rSb+gwfsjiQiHkrFVURsl/jZc4TsWsJiR3d6jn2c0EK+dkcSEZFcUrywP+1GP8MKbqXID7NJ/uo1uyOJiAdScRURW6XGLiX466f4wGpJ4xEvUy4s0O5IIiKSy6qUCKbykFmsd0cS8NkDpO943+5IIuJhVFxFxDaZe7/A54M72eyuReHb51GnbKjdkURExCaRlcJx9YjmJ3dlzKpRuA59a3ckEfEgKq4iYgvrxE6cywayz12Kkx1jaF2zrN2RRETEZrc2rMTPbeZx1BVK2pI+WGf22h1JRDyEiquI5L74oyQt6MF5lx+bms2me/PadicSEREPMaBNYz5uMJM0p5uEmO6QdNruSCLiAVRcRSR3pcVzProrVnoiK6q+wPCOrexOJCIiHmZs93YsKP8MvqmnOBfTAzKS7Y4kIjZTcRWR3OPM4OyCvhRKPMCcEo8xsX93jNG1WkVE5M8cDsOdQ/vzatj9FD63k7OLB4HLaXcsEbGRiquI5A63m7PLRhN2aguvBt/FHSNH4e2ljyAREbk0P28vxo6ZxMyAcYQd/ZxzK+8Ey7I7lojYRN8aRSRXxH/4MGG/vcdcn0EMHnsvhfy87Y4kIiIerkiAD33GPcoiR09Cf15Kwrpn7Y4kIjZRcRWR6y7p6zkU2TqTlbSj3ehnCA/2szuSiIjkEaVDArhh1Mt8YLWi8KanSY1danckEbFBjhRXY0wHY8wvxph9xpj7LvG6nzFmRdbr3xpjKubEfkXE86Xv/ICA9ffzubsREUNnU6l4sN2RREQkj6lZughhA6LZ5K6NzweTyNz7hd2RRCSXZbu4GmO8gFlAR6AW0N8YU+svw0YC5yzLqgK8BOg4D5ECwHU4Ft4ZwU53RVw959M4ItzuSCIikke1qF6aM53ms89dGueygVgndtgdSURyUU7MuDYF9lmWtd+yrAxgOdDtL2O6AYuz7q8EbjFaSlQkX7Pi9pO6uBcnXEXY0yaGdg0q2R1JRETyuK431OTb5nM47/IjaUEPiD9qdyQRySU5UVzLAIf/8PhI1nOXHGNZlhOIB4rmwL5FxBMlnyEhpisZmU4+rj+Tfm0a251IRETyiSEdWvJ29RchPYlz0V0hLd7uSCKSC3KiuF5q5vSva5VfzZgLA40ZY4yJNcbEnj59OtvhRCSXZaRwNqYnfiknWFThGUb3aG93IhERyUeMMUzo1425JR8nKPEAZxf0BWeG3bFE5DrLieJ6BCj3h8dlgWOXG2OM8QaKAGcvtTHLsuZZlhVpWVZkeLjOhxPJU9wu4l4fQsjZ7cwMu487hgzA4dBZASIikrO8vRxMGDmSV4PvIuzUFs4uG6NrvIrkczlRXL8HqhpjIowxvsDtwOq/jFkNDM263xv43LL06SKSr1gW51bdTdHD63gtYDSjR0/Gz9vL7lQiIpJPBfp6M3jsvUT7DCTst3eJ//ARuyOJyHWU7eKadc7qROAT4GfgLcuydhljnjDGdM0aNh8oaozZB9wN/O2SOSKStyV8/hKhOxfxhqMrPcY9QZFAH7sjiYhIPhce7Mcto5/lHW6hSOwMkr6ZZ3ckEblOjCdPfEZGRlqxsbF2xxCRf5D6wwoCVo/hI6s55ccso3aZULsjiYhIAbL1wCkSF/blRsdPOPssxa/2bXZHEpGrYIzZallW5NWMzYlDhUWkAMvctxHv1XfwnbsGQbfHqLSKiEiuaxxRnMye89nprggrh1+4jriI5CsqriLyr1knd+N8sz8H3cU53nEBN9Ysa3ckEREpoNo1qMyeNjGcdAWTurgXVtx+uyOJSA5ScRWRfyfhGInzu5Po8uabG+bQrXltuxOJiEgB169NYz6qP5PMTCfxMV0h+YzdkUQkh6i4isi1S0vgXHQ3HOnxLK/2AkNvu9HuRCIiIgCM7nEriyo8g3/KCc7G9ISMFLsjiUgOUHEVkWvjzCBuYT+CEn5jbsnHmHB7T4zRtVpFRMQzOByGCUMGMCvsXkLObiduyWBwu+yOJSLZpOIqIlfPsji7bCxFT25iVvAkxo8cjbeXPkZERMSz+Hl7MWrMXcwOGE3RI+s5u/Iu8OAraYjIP9M3ThG5auc/fJSw31YR49OfgWMfINDX2+5IIiIil1QkwIce457gDUc3wnYvIeGz5+2OJCLZoOIqIlcl6Zt5hMS+wipu4ebRzxEe7Gd3JBERkSsqHRJA5OgZfGS1oPDXT5KydZndkUTkX1JxFZF/lL7rAwLW3csGd0MqDptLpeLBdkcSERG5KjVKhRAyIIZv3TXxXTORjL1f2B1JRP4FFVcRuSLn79/ByhHsdlfA2Ws+jSqG2x1JRETkmjSvXoa4zgv4zV0S17KBuI/vsDuSiFwjFVcRuSzrzD7SFvfmhKsIv9yygLb1K9sdSURE5F+5rWktvms5j3iXL0kLekD8Ebsjicg1UHEVkUtLOkV8TFcynC7WNZpF75sa2Z1IREQkWwa1b8G7NV+BjCTOzusKqefsjiQiV0nFVUT+Lj2Js9Hd8Us9zesR0xnZrZ3diURERLLNGMOYvl2ZX+ZJgpIOEje/N2Sm2R1LRK6CiquI/JnLSdyiARQ5v5s54Q8yYXB/jDF2pxIREckRXg7D+OHDeS1kCkXPxBL3xghwu+2OJSL/QMVVRP4/yyJuxQSKHv+S2UETGD16Ij5e+pgQEZH8xd/Hi2FjpzDXbzhFD33I2fem2h1JRP6BvpGKyEXnP/o/iv66gsXevek77hGC/LztjiQiInJdhAT60nncNJY7biNsezQJX7xsdyQRuQIVVxEBIHHzAkK+e4HV3ESrMS9TPNjf7kgiIiLXVZnQQOqNeI1PrRso/OWjpPzwtt2RROQyVFxFhLTdHxH4yX/52qpH2WExVC4ebHckERGRXFGrbChBAxbyvbs6PqvHk7HvS7sjicglqLiKFHDO37/DvD2M3e7ypPdYSKOKxe2OJCIikqtaVC/D6c4LOegujuvN/riP77A7koj8hYqrSAFmndlL+uLenHAVZm/bhdzSoIrdkURERGxxW9PafN8qmvMuP5IWdMc6/7vdkUTkD1RcRQqqxJPER3ch1WnxeeRserZuZHciERERWw1o35L368yAjBTOz+sCKWftjiQiWVRcRQqitATi5nXBN+0sK6o+z7Aut9idSERExCOM6dWZheWnEZh8lLjoHpCRYnckEUHFVaTgcWZwZn5fCifsY27Jxxjbvw/GGLtTiYiIeASHwzBu6BBmF72X0LM/cWbxIHA57Y4lUuCpuIoUJG43Z94YQbHTm5lTZDLjRo7F20sfAyIiIn/k5+3FyDF3MSdwDMWOfkbcW5PAsuyOJVKg6RurSAFy9r2pFDu4hhi/IQwedz8Bvl52RxIREfFIwf4+9J7wBK9796LoL29y7qP/szuSSIGm4ipSQMR/9iJh26N5y9GRjuOeJSTQ1+5IIiIiHq14sD8tx7zCahNF6HcvkPBNtN2RRAosFVeRAiA5dhlFvnqcT2lGvVGzKRMaaHckERGRPKFS8WDKD4tho9WAQuumkrr9fbsjiRRIKq4i+Vzank/x++AOvnXXpMjAhdQoHWp3JBERkTylQYVw6L2Ine4IvFaNImP/13ZHEilwslVcjTFhxph1xpi9WT8v+Y3YGOMyxmzLuq3Ozj5F5Oo5f/8eVgzmV3dZEnss4Yaqpe2OJCIikie1rhvB7x0WcdhdFOcbfXEd32l3JJECJbszrvcBn1mWVRX4LOvxpaRaltUg69Y1m/sUkavgPvUraYt7ccoVzJ5bFtK2YTW7I4mIiORpXVrU49uW0SS4fEme3xXr3EG7I4kUGNktrt2AxVn3FwPds7k9EckJCcdIjOlCmtPii6bz6HlTY7sTiYiI5AsDbr2RNXVnYmWmcn5eF0g+Y3ckkQIhu8W1hGVZxwGyfha/zDh/Y0ysMWaLMUblVuR6Sj1H3NwueKWf5+0aLzGkUxu7E4mIiOQrI3t2YknEswSkHOfMvG6QnmR3JJF87x+LqzFmvTFm5yVu3a5hP+Uty4oEBgAvG2MqX2F/Y7JKbuzp06evYRciQmYqZ+b1ICjpIAvKPcmYfr0wxtidSkREJF9xOAzjBg9iXomHCTm/m9Pz+4Izw+5YIvnaPxZXy7LaWpZV5xK394GTxphSAFk/T11mG8eyfu4HNgANr7C/eZZlRVqWFRkeHv4vfiWRAsrl5PTCAYSd3cacovcydtgIvBwqrSIiIteDj5eD0aMmMqfwnYSf+obTb4wAt9vuWCL5VnYPFV4NDM26PxT424WtjDGhxhi/rPvFgJbA7mzuV0T+yLI4s3w84cc+Z27QOEaOvRs/by+7U4mIiORrAb5eDBr/IDF+Qwg/uIYzq/4LlmV3LJF8KbvF9RmgnTFmL9Au6zHGmEhjTEzWmJpArDHmJ+AL4BnLslRcRXLQ2dUPUmzvWyzx6Uvf8Y8T5OdtdyQREZECISTQl07jn2WFVyeK7VzAuU+esTuSSL5kLA/+V6HIyEgrNjbW7hgiHu38+hcI+foJVjna0+SORZQrWsjuSCIiIgXOvpMJ/Dq7P7fxNQltn6NwqzF2RxLxeMaYrVlrIf2j7M64ioiNEjYtIOTrJ/iE5tQeFa3SKiIiYpMqJQpTevgivrQaErR+Ksk/vGV3JJF8RcVVJI9K3vYuhT79L19b9QgfspjqpUPsjiQiIlKgNagQjm//1/nBXQ3f1eNJ2/Op3ZFE8g0VV5E8KP2Xz/F9bxTb3ZWh3xs0qlTC7kgiIiICNK9RjvPd32CvuwxmxSAyDm62O5JIvqDiKpLHZP4ei3v5AH5zl+J019dpVauC3ZFERETkD9o2qsbeWxdzzBVC5pI+uE7ssjuSSJ6n4iqSh7hO7iF9cQ9Ou4L4ue1i2kfWtDuSiIiIXEK3lg35ttUCEl3eJMd0wTp7wO5IInmaiqtIHmGd/52kmC6kOB181TyGHq0b2x1JREREruD29q1Y2+A1XJnpnJ/bGRJP2h1JJM9ScRXJC5JOc25OJ8hIYnW9VxnYMcruRCIiInIVhnfvyPKqL+CbdpozcztD6nm7I4nkSSquIp4uLZ4zczsTkHqCNys/x8ieXf5fe3ceXlV1qH/8u3KSEDJBRkgIoyCKKIOMIjLKJIgoiqBVUYuKOGFbB3731lvtbXtbZ2kVFUVkLOKAIAiIIqDMKPMghClkAEIICZnOWb8/krbWggwhWSc57+d58sDebLJfHxcrvKy1d1wnEhERkbNkjGHUiGG8k/Ic0bk/kDVhMBTluY4lUuWouIr4s6I8st4YTPTxnbyV/DtG3X4bxhjXqUREROQceIIMo0beyxsJ44g9+h1Zbw2F4gLXsUSqFBVXEX9VXEDWmzcRe3QDbySM47577sMTpNIqIiJSFYUGB3HvqEd5vfZYEjJXkPnOCPAWu44lUmWouIr4I28xme+MICHrG16vPZZ7Rz1KaLD+uIqIiFRlNUM93PHAU7wR8QCJaYvJmnw3+HyuY4lUCfqbsIi/8fnImnw3iWmLeSPiAe544ClqhnpcpxIREZELICoshFtG/463a9xBQuonZM14EKx1HUvE76m4ivgTa8ma8SAJqZ/wdo07uGX074gKC3GdSkRERC6gmIhQBo35M1NChpKwfSqHZ/9G5VXkDFRcRfyFtRye/RsStk9lSshQBo35MzERoa5TiYiISAVIjAqj++hXmeUZQPzGCRyZ96zrSCJ+TcVVxE8cmfcs8RsnMMszgO6jXyUxKsx1JBEREalA9WLCufL+CXxiehC3+nmyF7/oOpKI31JxFfED2YteJG7188wx3bny/gnUiwl3HUlEREQqQeOEKJr/8h0W0omYr58hZ9mbriOJ+CUVVxHHcpa+TsyyZ1hIRy7+5bs0TohyHUlEREQqUfPkGOrcNZmltg1Ri35N7srJriOJ+B0VVxGHclZMpNYXT/ClbUudu96neXKM60giIiLiwBWNEql5+1RW2ssI/+xhTqyd4TqSiF9RcRVx5PjK94n6fCzL7RVE3zGVKxoluo4kIiIiDrVvlgzDp7HOXkzNOfeTt+Ej15FE/IaKq4gDJ9bOJOKzh1hlWxBy23TaXpTkOpKIiIj4gc6XNKDwlul877uI0I/uIX/TXNeRRPyCiqtIJcv77iNqzrmP9bYZDJ9Oh4vruY4kIiIifuTqyxpz/KZpbPPVJ3jWnZzcutB1JBHnVFxFKlH+prmEfngPG31NKLhlOp0uaeA6koiIiPihbq2akXnDdHb5kvHMGEHBzi9dRxJxSsVVpJKc3LqQ4Fl3ss1Xn5ybpnP1ZU1cRxIRERE/1qvtJewfOJVUXwJMHUbh7uWuI4k4o+IqUgkKdn6JZ8YIfvAlkXnDdLq1auY6koiIiFQBfTu0ZFf/KaR5Y/BNHkph6krXkUScUHEVqWCFu5bB1GGk+hLYP2gavdpe4jqSiIiIVCEDOrdh87Xvk+mNxDtpCMX71rqOJFLpVFxFKlDhrq+xU27igDeWXf2n0Kd9S9eRREREpAoa1LUd63q8xxFvOEXvXk/RvtWuI4lUKhVXkQpSsPOrf5bWHf2nMqBzG9eRREREpAob0qMzq9kU1QgAABwcSURBVHtM5khJTUreGUzR3lWuI4lUGhVXkQpQsPNLmHoz+73x7Ow/TaVVRERELogbe3Rmbc/3OewNp+TdwRSmqrxKYChXcTXG3GyM2WyM8Rlj2v3Mdf2MMduNMbuMMU+W554i/q60tN7CPm88PwyYRv/OrV1HEhERkWpkSPdOrOs5lSxvJN5Jg/XCJgkI5V1x3QTcCCw93QXGGA8wHugPtACGG2NalPO+In7p5I4lmCmlpXXPddPp16mV60giIiJSDd3QvQPf9ZpCpjcK76QbKEz91nUkkQpVruJqrd1qrd1+hss6ALustbuttUXAdGBwee4r4o9Obv+CoKnD2OtLYM/AGfTteIXrSCIiIlKNXd+tAxt7TyHTF4Vv0hAK93zjOpJIhamMZ1zrAft/dHyg7JxItXFy+2KCpg0j1ZdI6sDp9O1wuetIIiIiEgAGXdOejb2nkO6NwvfejRTuWeE6kkiFOGNxNcYsMsZsOsXH2a6amlOcsz9zv1HGmDXGmDVZWVlneQsRd05uW0jQtFvZ46vD/utn0EelVURERCrRoK7t2dxnGune6NLy+sNy15FELrgzFldrbW9rbctTfHx8lvc4ANT/0XEKkPYz95tgrW1nrW2XkJBwlrcQcSPv+zkET7+V3b66HLx+Br3bXeY6koiIiASggVdfyda+UznkrY19fwgnty92HUnkgqqMrcKrgWbGmMbGmFDgVuCTSrivSIU6vmYmNWbfyVZfQ9KHzKKXSquIiIg4NKDLlewYMIO93kQ804aRt3Gu60giF0x5vx3OEGPMAaAzMNcYs6DsfLIxZh6AtbYEGAMsALYCM621m8sXW8StnG8mEfHpfWywTTlx6yx6tGnuOpKIiIgI/Tq1Iu2Gv7PdV5/QD+4gd90s15FELghj7WkfN3WuXbt2ds2aNa5jiPybo1/9jdglT7LCXk7IiGm0b17/zL9JREREpBIt27Sb8L8Po5XZxYl+r1Kr0+2uI4n8B2PMWmttu7O5tjK2CotUG0cWvUjskif5irZE3DVLpVVERET80tUtm1Ay4gNW2xZEzR9D9tcTXEcSKRcVV5GzlDX398Qte4ZFdCLhnr/TqnFd15FERERETqtD8wbUuHMWy2lNzOJfc2Txy64jiZw3FVeRM7GWrI+eJmH1/zEvqBuN7p9Oi/rxrlOJiIiInFGbJknE3TOTL+hA3Nf/TdZnf3AdSeS8qLiK/Byfj8yZj5CwYTwfefpw2egpNK0b4zqViIiIyFlrUT+R+vfNZL7pSsLKP5L10dPgx++5ETkVFVeR0/EWkz7pDhK3TmJmyGA6jJlEw/go16lEREREzlmzpBgueWAqH3n6kLBhPBlTHwCf13UskbOm4ipyKkV5pL8xhLp75/Bu+J30fHgCyTHhrlOJiIiInLdGidF0fGgSU0Nvps7OaaRPHA4lha5jiZwVFVeRn8o/Ssb4fiRkLOPNWo9w08PPEx8V5jqViIiISLkl1Q6n/yN/ZWLkL6l7YAHpfxsEhbmuY4mckYqryI/Y42lkvdqb2se28Fbd3/KLMb8lKizEdSwRERGRCyYmIpRbH/4jb8T+hvjDq8l8rQ8277DrWCI/S8VVpIw3axfZr/WkZv5B3mvyF+6971HCQjyuY4mIiIhccOGhwYwc/RQTU54j+vhOjrzaA1/2PtexRE5LxVUEKDqwnrzXe2MLTzD7ite594678AQZ17FEREREKkxocBD33jOaKRe/ROjJwxwf35Pi9K2uY4mckoqrBLz8nV9R8vYAjpd4WHLVZO64aQjGqLSKiIhI9RcUZLh7xG182vYtioqLKZjQh8LUVa5jifwHFVcJaDmrpxEy5UYO+mLY2GcGQ/v2cB1JREREpFIZYxgx+DqWd5vKUW8Y9t2BnPhujutYIv9GxVUCk7Vkzf8/as29n+9sU9Jv/Ij+Xdq5TiUiIiLizJCeXdg5cDY7bT1qfngHR778q+tIIv+k4iqBx1tC+rQxJHz7ez43XQgb+QldW13sOpWIiIiIc73bX07x7XNYRhvivnyKjA9+Az6f61giKq4SYIryOPTmUOrueJ/poTfS4qGZtGxUx3UqEREREb/RtlkK9R+YzYfB/aiz8Q0OvXMbFBe4jiUBTsVVAobNzSDj1WtJPPQlE2uNpv+jE0iJjXQdS0RERMTvNKlTm66PTGJSxEiS9s8jffwAyD/qOpYEMBVXCQglGdvJfrUb0cd3MjHlOW576DlqhYe4jiUiIiLit+Kjwrjlked5M3EcMdnfcfiV7viO7HEdSwKUiqtUe/m7llHwRi98hXl8cPkb3Hvvg9QI9riOJSIiIuL3aoZ6uPv+XzP14pcJOZlF7l97ULh3jetYEoBUXKVay/7mPULeH0ymN5IVPaZz+9Ab9T1aRURERM6BJ8gw8rbbWXjV++SWeLDvDCBn7SzXsSTAqLhK9eTzkv7BE8QseIj1tjkHb/qY67t3cZ1KREREpMoa2rcXOwZ9yDbbgFpz7iFjzu/AWtexJECouEr1U5hL2hs3Unfj63wc3I+Y+z6l6xXNXacSERERqfJ6truCkLvn8llQN+qsfZ60t0dAUb7rWBIAVFylWvEe2UPmS91ITF/KxFoPcs1jk2mWHOs6loiIiEi1cVnDOlz56AzeixhJ3f2fkfFKT2zOQdexpJpTcZVqI3/HV+SPv4Ya+YeY3PR5fvHwc8REhLqOJSIiIlLtJEbX5JZHn+edBr8nIncPOa90pSB1letYUo2puEq1cGTpBEKnDiHTG8mSrtMY+Yu7CfFoeIuIiIhUlLAQD3ffPZrPOk4ityQI8+51ZH871XUsqab0N3up2rwlpE1/hLgvfs0qWnJ42Fxu6N3ddSoRERGRgGCM4eYB/UgdMoeN9iJi5j9A+uynwedzHU2qGRVXqbJsbgaHXutL8rZ3mR06iOTRc+jYoonrWCIiIiIBp2vrS6l131w+9fSm7vfjSfvbQGz+UdexpBpRcZUq6eQPK8h56Spijn7H2/FP0HvsOzRKrOU6loiIiEjAapYcR5fHpvJuzEPEZ35L9oudKdy3znUsqSZUXKVqsZasRS8TMnkgx0o8fNz+PUaOforosBDXyUREREQCXkxkDX7x0LPMuuJNCoqKMBP7cGTpW65jSTVQruJqjLnZGLPZGOMzxrT7metSjTEbjTEbjDFrynNPCWCFJzj49m0kLPtvltOG9GHzGTZwAEFBxnUyERERESnjCTKMuOkmfhgyj7VcQtwXj3Nw0j1QXOA6mlRh5V1x3QTcCCw9i2t7WGtbW2tPW3BFTqc4cweZL3al7v55vB9xJxc/+gmd9DyriIiIiN/q2vpSUsZ8xoywW6i3ZxbpL3XDezTVdSypospVXK21W6212y9UGJFTObZ2NsV/uwbPySymNHuJWx57iaTaEa5jiYiIiMgZ1I+PYvDjr/Nug/8l/MQ+8l+7mtxNn7mOJVVQZT3jaoHPjTFrjTGjKumeUtWVFJI24zFqzxnJLl8ya/t+yB2330VosB7NFhEREakqwkI83HX3g3zd4+8c9MYQMWs4h2Y/Dd5i19GkCjljAzDGLDLGbDrFx+BzuE8Xa21boD/woDHmmp+53yhjzBpjzJqsrKxzuIVUJ8UZ28l4oSvJWyfyUcgAwkZ9Tp+r2ruOJSIiIiLn6bruV1MyciHzPD1J+n48h17qqa3DctaMtbb8n8SYL4FfWWvP+OIlY8wzwAlr7V/OdG27du3smjV6l1NAsZbDyyYSufgp8m0IcxqN4+bbRhEeGuw6mYiIiIhcAMcLipn93ivcePDPBAcZCvq9QGzH4a5jiQPGmLVn+w6kCt9zaYyJMMZE/ePnQB9KX+ok8u8Kctj/1nDiF4/le5qy/rq53DlytEqriIiISDUSHRbCnb8cy/LeH7HDV4/Yz+7nwLt3Q1Ge62jix8r77XCGGGMOAJ2BucaYBWXnk40x88ouqwMsM8Z8B6wC5lpr55fnvlL95P2wgiPPdyDpwAKmRt5JvYc/p1eH1q5jiYiIiEgFMMbQv2snao9exIyaw0jeM5usv3SkYN9619HET12QrcIVRVuFA4DPy6G5/0vC2hc4ZONY3upPDB08hGCPXsAkIiIiEgiKSnz8fdZUem39f8SaXI52HkfdPo+BMa6jSQXzq63CIqdTkrWLgy/1ImntX1gSdBVZty3i1htvUmkVERERCSChwUHcduvtpN68kBWmDXW/+R8OvNoPb/Y+19HEj6ghSOXz+chY+DLe8VcRlbOdyXWeoMPjH9L24kauk4mIiIiII51aNuPysZ8yOe5RYo6sp/CVDmR9NQH8eIeoVB5tFZZKVXJ4NxmT76FezjqW0Yai/i/Ss2Mb17FERERExE9Ya1mwbCWxi8fSgc3sj72K5F9MwBNT33U0ucC0VVj8j89HxqJXKXmtE1HHtvJ+nV9z6ePzVVpFRERE5N8YY+jXtRONHlvE+3EPEXdkLQWvdCDrq7e0+hrAtOIqFa7k8B7SJ99DSs5aVtCagv4v0rNjW9exRERERMTPla6+fkvc4rG0Zwv747qUrr7WTnEdTS4ArbiKf/B5yVj0KsWvdaLWsS1MqfMrmj++QKVVRERERM5K6eprZxo+tpgpcWOIO7yGgpc7kPXVm+DzuY4nlUgrrlIhTqauJvvvD5Gct5VvuYL8/i/Rs+OVrmOJiIiISBVlreXzZd8Qt3gs7djKwahWxA97jRopV7iOJudJK67ijM3PZu97D1Dj3WsJPnGIqSm/5eJfLVJpFREREZFyMcbQt+tVNBj7BVPrPkHY8d143urG3qmPQmGu63hSwbTiKheGtWQtf4/QL/6bSG8Oc8IG0nDo72nTrKHrZCIiIiJSDa3aspPMD8cxsHgB2Z44fH3/QFz7W8AY19HkLJ3LiquKq5RbYdomsqaPIeX4er6zzUjt9CzX9elLsEcL+iIiIiJScYpKfHw692MuWfcMLUwqe2M6kzT8NUITm7qOJmdBW4WlUtiTx9g7/Vd4JlxDZM4Optd9nKSxSxncv79Kq4iIiIhUuNDgIG4cPIRajyxjetyDxB7dAH/txL5Z46DwhOt4cgFpxVXOXUkRaYvHE7XyBaJ8x5kf3JPYG/5Ih5bNXScTERERkQC2fP0m8j99kmu9X3PME0tBl99Qt9svwRPsOpqcgrYKS8WwlsOrZmIXPUNCcRqruIz0juPod21/QoO1wioiIiIi7hUUe5n/2cc0XPdH2rCdjBoNCen7LLFtrtfzr35GxVUuuNwdS8n5+ElS8jazw6bw/aVj6TP4F0TXDHUdTURERETkP2SfKGTRh2/TbtfLNDbp7ItuS+yQPxLZuKPraFJGxVUumML0baTNepLGh5eQYWuztN4orr75YZJiolxHExERERE5o/1ZOXw76wV6pE8k3hxnd51+pAz9A6EJTVxHC3gqrlJuhYe2cmDO72mYNpcCG8rntYdx2dCnaV6/rutoIiIiIiLnbPPuA+z48Dn6Hf+AYONjX/0bqH/9OBVYh1Rc5bydPPA9aZ88S+PMhRTaEBaF96fugKdpf/klrqOJiIiIiJSLtZZvNmwke/4f6F3wOR7jY2/ydaQMGkeNpEtdxws4Kq5yzk7sWUXmp8/R5MhXnLBhLI4aTHK/sbS7rDlGD7GLiIiISDVirWXFhk0cXfg8vfPmUsMUsyexN0mD/ovw+q1cxwsYKq5y1o7vWMaRec/R+Ng35NhwltS+iUbXjaX1xdoyISIiIiLVm7WWtVt2kDb/eXoe/5hIU8APcd2oc904IpvoJU4VTcVVfl5JIYe+mU7xN2/QIH8zR2wUS+OH0XzgY7RonOI6nYiIiIhIpft+5x72zH2B7tmzqGXySY1sTc2r7qNOx5vBE+I6XrWk4iqnVJy9n9T5r5Gwczq1fcfYbZP4ru7NXD5oDE1T6riOJyIiIiLi3LbUg2yb+wpXZs6mvsnkqCeOo5eMoHHfMXii9aLSC0nFVf7FWrI3L+bwkvE0PvIlQday3NOOnMvv4qprhxIbGeY6oYiIiIiI38nKyefbz2cQv2USne16iglmT2IvEnuNofbFXUHvgSk3FVehJOcQe5dOJnzj+yQV7SXbRrKi1gBqd72PTldeiSdIf9BERERERM6kxOtjxapV5C1/nS65C4g2+Ryo0ZSiVrfTqOvtBEUluI5YZam4Bih78hh7V8zEu2EmjXLX4sHHJi5iT+PhtOo3kgZ14l1HFBERERGpsn44mMmWBW/SbO8MLjF7KSGI1OiO1Gh7Kymdb8LUiHIdsUpRcQ0kJYWkrf6Y3NXTaHT0a2pQzD6byMbYvkS3v5X27TsTFuJxnVJEREREpNo4WeRl5bdfk79uOq2yF1LPHOYkNdgb351aHYeT1HagXuh0FlRcqzlfXjYH1nxK3ub51M9cQiR5HLbRrIvqQXDrW2nXpTfRNUNdxxQRERERqfZy8gpZ/fVnsHEmV574ihhzghwTzcE6PYhs2Z/6V/bH1KztOqZfUnGtbnw+ju1ZS9rqTwjbu4SGJzfjwccxG8GGmh0pbjGU1t1uIKFWhOukIiIiIiIBKyP7OBu+nE3Yttm0KVhNtMmnBA97wy+nsHFPUtpfT3TD1nqxUxkV16rOWgoP7+HA919RsG0hyYeXE2OPAbCFJuyP60JYi75c1r4n8dEqqyIiIiIi/iYzO5fNqxZTvG0BDbKXcwl7ATgSFMehhKsJv7Q3yS27ERbXIGCLbKUVV2PMn4FBQBHwAzDS2rKG9e/X9QNeBjzAW9baP57N5w+U4uo9mUPalhUc27Gc4EPrqJu7+Z9F9ZiNYFNYO/Ib9qBeu4Fc2rQpQXojsIiIiIhIleH1Wbbs2E7amk+J3LeEywvXEW3yATgSFEtGVEu8SW2Jbd6FpEs7ExQWGC95qszi2gf4wlpbYoz5E4C19omfXOMBdgDXAgeA1cBwa+2WM33+6lZcbVE+Rw5s5+i+rZxM34k5vJ3YYxtJLt5PkCn9/7CHZPaHX0ZhnTZEXtSJS1t3pnZkuOPkIiIiIiJyoRw9nse2DcvJ272SsIz1NMjfTEOTDoAXw8GQRmTXvhzimxGedDGxDS4ltl5zTEiY4+QXlpOtwsaYIcBQa+1tPznfGXjGWtu37PgpAGvtH870OatMcbWW4vxjHM/OIv9YJidzsijMPUpxziE4spuauanEFuwjwXf4nwUVIMvWYm9oM47HtSKkYUdSWnahYb16WlEVEREREQkgXp8ldf9+0jYvo3jvKmod/Y7GRTuJNbn/usYasjyJHA2rT0FUI4i7iJDoOtSIjqNmdCIRMQlExyQQXLNWldl6fC7FNfgC3vduYMYpztcD9v/o+ADQ8QLe14mVk54iae8cIn3HibInCDFe4oC4n1yXYyNI8ySzO/wKtkY3xpPQlIik5iQ0bEFSnUQSPEEu4ouIiIiIiJ/wBBkuatiAixqOAEYAUOz1se/QIbL2bSHv0A58WbsIO76HmIJ9NMvbTFTGyVN+rmLr4biJ4oQnmsymt9B++H9V4n9JxTljcTXGLALqnuKXxllrPy67ZhxQAkw51ac4xbnTLvMaY0YBowAaNGhwpnjOeGvUJiOsMQdDa+ENi8HWjCUoIobgyHhqRMVTs1Y8UbF1qVMnmUtVTkVERERE5ByEeIJokFKPBin1KH3q8l9KSrwcTD9IbnYGJ3MOU5SbhffEEbx52ZiCo3gKsgkuysFbo5ab8BWg3FuFjTF3AvcDvay1+af49eq/VVhERERERETOyblsFS7XUmDZ24KfAK4/VWktsxpoZoxpbIwJBW4FPinPfUVERERERCRwlHcP62tAFLDQGLPBGPM6gDEm2RgzD8BaWwKMARYAW4GZ1trN5byviIiIiIiIBIhyvZzJWtv0NOfTgAE/Op4HzCvPvURERERERCQw6a1BIiIiIiIi4tdUXEVERERERMSvqbiKiIiIiIiIX1NxFREREREREb+m4ioiIiIiIiJ+TcVVRERERERE/JqKq4iIiIiIiPg1FVcRERERERHxayquIiIiIiIi4tdUXEVERERERMSvGWut6wynZYzJAva6zvEz4oHDrkOIlNF4FH+i8Sj+RONR/InGo/gT1+OxobU24Wwu9Ovi6u+MMWuste1c5xABjUfxLxqP4k80HsWfaDyKP6lK41FbhUVERERERMSvqbiKiIiIiIiIX1NxLZ8JrgOI/IjGo/gTjUfxJxqP4k80HsWfVJnxqGdcRURERERExK9pxVVERERERET8morreTLG9DPGbDfG7DLGPOk6jwQWY0x9Y8wSY8xWY8xmY8wjZedjjTELjTE7y36McZ1VAoMxxmOMWW+M+bTsuLExZmXZWJxhjAl1nVECgzGmtjFmljFmW9kc2Vlzo7hijHms7Ov0JmPMNGNMmOZHqUzGmInGmExjzKYfnTvlnGhKvVLWb743xrR1l/w/qbieB2OMBxgP9AdaAMONMS3cppIAUwI8bq29FOgEPFg2Bp8EFltrmwGLy45FKsMjwNYfHf8JeLFsLGYD9zhJJYHoZWC+tfYSoBWl41Jzo1Q6Y0w94GGgnbW2JeABbkXzo1Sud4F+Pzl3ujmxP9Cs7GMU8LdKynhWVFzPTwdgl7V2t7W2CJgODHacSQKItfaQtXZd2c9zKf2LWT1Kx+GksssmATe4SSiBxBiTAlwHvFV2bICewKyySzQWpVIYY6KBa4C3Aay1RdbaY2huFHeCgZrGmGAgHDiE5kepRNbapcDRn5w+3Zw4GHjPlvoWqG2MSaqcpGem4np+6gH7f3R8oOycSKUzxjQC2gArgTrW2kNQWm6BRHfJJIC8BPwG8JUdxwHHrLUlZceaI6WyNAGygHfKtq6/ZYyJQHOjOGCtPQj8BdhHaWHNAdai+VHcO92c6NcdR8X1/JhTnNPrmaXSGWMigQ+AR621x13nkcBjjBkIZFpr1/749Cku1RwplSEYaAv8zVrbBshD24LFkbLnBgcDjYFkIILSrZg/pflR/IVff/1WcT0/B4D6PzpOAdIcZZEAZYwJobS0TrHWzi47nfGPLR1lP2a6yicBowtwvTEmldLHJnpSugJbu2xrHGiOlMpzADhgrV1ZdjyL0iKruVFc6A3ssdZmWWuLgdnAVWh+FPdONyf6dcdRcT0/q4FmZW+FC6X0QftPHGeSAFL2DOHbwFZr7Qs/+qVPgDvLfn4n8HFlZ5PAYq19ylqbYq1tROlc+IW19jZgCTC07DKNRakU1tp0YL8xpnnZqV7AFjQ3ihv7gE7GmPCyr9v/GI+aH8W1082JnwB3lL1duBOQ848txf7AWOs3q79VijFmAKWrCh5gorX2944jSQAxxlwNfA1s5F/PFT5N6XOuM4EGlH7BvNla+9MH8kUqhDGmO/Ara+1AY0wTSldgY4H1wO3W2kKX+SQwGGNaU/qisFBgNzCS0n+o19wolc4Y8z/AMEq/G8B64F5KnxnU/CiVwhgzDegOxAMZwG+BjzjFnFj2DyyvUfoW4nxgpLV2jYvcp6LiKiIiIiIiIn5NW4VFRERERETEr6m4ioiIiIiIiF9TcRURERERERG/puIqIiIiIiIifk3FVURERERERPyaiquIiIiIiIj4NRVXERERERER8WsqriIiIiIiIuLX/j+M7Po42zfargAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(analytical_solution[:, cells // 2, 1], label='analytical')\n",
    "plt.plot(simulated_solution[:, cells // 2, 1], label='simulation')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diff = analytical_solution - simulated_solution\n",
    "plt.plot(diff[:, cells//2, 1]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.vector_field_magnitude(simulated_solution - analytical_solution)\n",
    "plt.colorbar();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Periodic version"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "force_p = add_flipped_on_top(force)\n",
    "\n",
    "analytical_solution_p = get_field_from_term((0, 0), (pi - dx, pi - dx), [cells, cells], sym_vel.subs(replacements))\n",
    "analytical_solution_p = add_flipped_on_top(analytical_solution_p)\n",
    "\n",
    "force_with_gl_p = add_ghost_layers(force_p, index_dimensions=1)\n",
    "forceField = Field.create_from_numpy_array('forceArr', force_with_gl_p, index_dimensions=1)\n",
    "initial_velocity_p = analytical_solution_p / dx * dt\n",
    "\n",
    "sc_p = create_fully_periodic_flow(initial_velocity=initial_velocity_p, method=method,\n",
    "                                  force=(0, forceField(1)), force_model=force_model,\n",
    "                                  kernel_params={'forceArr': force_with_gl_p},\n",
    "                                  relaxation_rate=relaxation_rate,\n",
    "                                  equilibrium_order=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.vector_field(analytical_solution_p, step=8);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sc_p.run(50_000)\n",
    "plt.vector_field(get_lower_half(sc_p.velocity[:, :]), step=6);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "simulated_solution = get_lower_half(sc_p.velocity[:, :]) * dx / dt\n",
    "plt.vector_field(simulated_solution, step=4);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "L2  Error 0.00036617543711501665\n",
      "Inf Error 0.0006321865458609466\n"
     ]
    }
   ],
   "source": [
    "l2_norm = discrete_l2_norm_by_number_of_nodes(simulated_solution - analytical_solution)\n",
    "inf_norm = discrete_linf_norm(simulated_solution - analytical_solution)\n",
    "assert l2_norm < 4e-4\n",
    "assert inf_norm < 7e-4\n",
    "print(\"L2  Error\", l2_norm)\n",
    "print(\"Inf Error\", inf_norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.vector_field_magnitude(simulated_solution - analytical_solution)\n",
    "plt.colorbar();"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}