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@jmark
Created November 4, 2016 16:50
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Stretched Box with Density Gradient
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Stretched Turbulent Box with Density Gradient: Checkpoint File Version"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [],
"source": [
"import os\n",
"os.environ['PROJECTDIR'] = \"/home/jmark/projects/stirturb/turbubox/tools\"\n",
"\n",
"import sys\n",
"sys.path.extend([\"%s/%s\" % (os.environ['PROJECTDIR'],s) for s in \"bin lib\".split()])\n",
"\n",
"from matplotlib import pylab as plt\n",
"from mpl_toolkits.mplot3d import axes3d\n",
"import numpy as np\n",
"import flash, flexi\n",
"import ulz\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"flshfilepath = \"/home/jmark/projects/stirturb/norm-mix_hdf5_chk_0005\"\n",
"fl = flash.File(flshfilepath)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(64, 64, 448)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dens = fl.data('dens')\n",
"Nx,Ny,Nz = dens.shape\n",
"Nx,Ny,Nz"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fancy plots\n",
"\n",
"I know, I know ... following color scheme is bad, very baad. ;)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f4017e3d550>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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Wya1rk10cYBcHKsuVrnMX66yxkkw31tgoDvnmCrsOBNYOwNp6GTSvg6VBcowucwHw/orx\nB5LlDrjxbtoP74afvrXblv/r/x1fl5/bAGxYWaQNuMmKADgNnGNQHP/GIRbrJuAHbpcOUP3L0Ubb\nX4qmb8HcOsfdZhttA6e6X4yu62z6Vp+Gul+Mql+j3DraXBWNs3+rwC2B/zzCsnXbrvv8jbrOUdY9\nahlGUfV++c/C/wc8BzCDFSv+XhrgxOISsbGJ8KSqZ78ceFMZPF8EnAYcCrxxQtsTmTPxNK76akoD\ntXG2EdfVfy/501F1r9JngX32Ov5Nj+E494Srlu3jfRKRbQKETSOYYaZzS0REZm8iQXMI4e3lM5lf\nQpFC/hTw8BDCdyaxPZH50qaCy7iBbhrgTfqiMw0k/bbSoDYXrNYFsOl9+7r1VgWt/hiOek+4KtD2\nAXvbgNyXKTdtmvflZ2nZ9lfaCBghFIMsAb3NIjIHJtYRWAjhtcBrJ7V+kfnUlGGepj4qTvkMbKCo\np9e2OnWsGOYD31wgHueJgbKvup0G5tPOrrc9lrHsuZsmQwwgxy1L3XuQHosh7bPITl1vh0lL41QA\nEhGZomn2nt1AHX7JomvKMI9zyXX3EZbpo8WJD5jTwLWuVYxfPpcVTttA+0C5qq3ztC9bLTPkypO7\nCeCz73E/p90CrE5VDYG+1h33d4Z2ndJ+3qG8LTJ1CojzTrnzGAsrYJYl97BZF0A6UdAsMii5Nrpt\n3COznjSL17VqdFtV1ZOrMs5dr5CqguUhtCOON0Bir0ipzWSeeb4inOeyt3RQy6BZF/hLTW973il3\nhrITchHpSEHzfBlQ0CyyLNpUWe1zO7mMcnB/c7pWSEyzhj7jHIPr1YZt5ta7yVYv20MJmKOqoBm2\nblrk9tm3Nx/qJfm4meah7ldHbbohkIXW5htnQT7tIrWG/qslMikKmkWmJteetarn52mVJ7e9cdJp\nPvMc9zkG7mn147oOxOK4cTLMfht12faux32V4rnMu6gOmuN6/TOi/XHRpYeIiAyfAmZZZgqaRabK\nt2edZda0Kqs9TiBXdQMgBs2bbH+GcdMjtzYz/26rKTUYp3etDp9Wy16jCJzrjpcPmuPTBBU4i4jI\n/Bhizxsi06KgWWTq0ozzpAPmNDDu8kikvqqIR2m22be1znWk1UdV7Kosr9cmeE7r564CBwO72QqY\n0+xxbpt9N4htc8MhV4aqHqvjcZ7mpdCMGgmPssm0A3e1axYREVk6CppFZmKaj0TqmtGcVNk22Moy\nRytu8EHzOGXxy9btf1M17Zghjpnl3RSB8y62bgTE45z2ipPbt3GlGfSqdfqgOW6/Kk+QHqtVt+w4\nmtrMT7mR8DibrHu8tiy8rj08iIjIYlHQLLIUYkA3q/bTkS9DGsznss19lLEpo5mOjxlnv1waMMch\nrWYdewuPwb5vS50Gz1XlanqdSqv5+xsM/r2O5U/LsObGVZnkI6di2abI3N+uJn04JCtgbGLlf7MJ\nTRcyIFYdWxGR1hQ0iyyNaWa3u5Rhg60rtz6eHe11SS/6oDVWx44B80FsBczxijPXu3ea3c1lm42d\nV6y5jsty5fbHcL3cfizDevLvdD1pG+y23bnoilpmL2AEVggz/P5auDNhEq1GREQWmIJmkYXnr4hm\nHTjnpI1Gc+m8pvbGuXU1zeen5YJaHzTH3rJ9NjwGrWn159w2fBnq2jynr9P9T7PJG8CBckiD5TRo\njutaZavX790UNwDSmwBrybxpG+hUrk10LM+02mzrCn8ZzfqW3xC/NcemgFlEpLXOKR0ze4CZvcvM\nrjSzTTN7VGael5jZt8zsBjP7VzO7Uz/FFZHu0oBp6PXx0mAwHeo6Jht3/9KMcgwqD3JDDDL9NtLy\nphnfrr1xt20xGbezDtwIXA98H7gO2AfsLf9+v5x2XTLte8C15XBN+TfOe1NF+X1V71w1/7pq9KN8\n1nJZeJHh0ydWRGRxjVIP8hbAp4BnkblSMrPnAs8Gng4cR3Hldo6ZHTRGOUUGYoj12XLZyly72KGV\nuy9+/6raSHtpG2DYqsK8KzOkbYB9ljVWyY7BfVr1OdcJWN375MuXVvmOAfMBioD5RuAHyXATsL8c\n0uzzerLcTcANbAXUe9keaN+YzO/bSfthUib4ee26C9PaZRERERm0ztWzQwhnA2cDmFnuiuY5wEtD\nCO8u5/kNYA/waODtoxdVZNZ8e1v/eKFZqMrKTeKxUfMiZp7bSDvtSjv8ipnnFfdvzwe2aVDtewaH\n6verqmypGDTvd0MMkJs6TvNZ8ZsoguRd5b/jOoytXsFjeRfk6Zyj7EbaRF1ERESWUq+XAWZ2e+Bo\n4Nw4LoSwD7gQOL7PbYlMl2+/OaTUU1WmuSpTt0gZZ/8V1uU4RP79rMpWp+18c1ng9FnHPujukgFP\nyxTXHzPFPljOdfrVJFbzjpnnH7BVzfv68vUB8tXMmz7zvvfuoZwjzijFGuiuyHS0PbNERGQx9d0R\n2NEUvxt73Pg95TSROZQ+4zbN/g39EqnqnljMHPb1SKdZ6aunbR8Atwn2cgHzJjsDZd+xWJebFb5c\nMWiOwbLvHTstW1X5/Xsf13ETOwP+3TXrqRMz7rFsIvNvnr8pRURkfNPqPTvXDatzNnCwG3d34B6T\nKZEI0D2IGdKl0yg9DPu2tTCsfeqiz4x5Wm05zQxHuRsmPtCG7R2KrbLzeOeq0Vf1Uu17yU6D8zQr\nnlahjuNg5zqrxqe9cO9nq210PBaj0AONZbHo0ywiMt/OKgcCWHkptK/D8n0HzVdR/LYcxfZs85HA\nJ+sXPQk4pufiiFTp0tHQELOyffQwvCgZ53HF4HQjGReD3/RRWLnOv3IBc9ppWJugM113Wqb037Fs\ncRu59ur+cVBd31ffO/c6eiqhSGGZvyFFRBbByeVgBitW/L00wIktuwDqtU1zCOFyisD5xDjOzA4D\n7gt8vM9tiYwn11FTbhhyNnaRe8RuMol99gFjmx6k0wx0fC+qHn3lg21fxbtpSB/7FP/GIfc5ratt\nUNW2Oi1jU82KNm37m96n3PJN/QZMqcbH0LoukMFbxm9imX/63Iq00zmNYGa3AO7E1nl2BzO7J3BN\nCOEbwCuA55vZl4GvAS8Fvgm8s5cSi4xlmQNNbxpZZh889rE93164T2knWf7GStNyuecZp1WnfTvi\npvVVVc2OAX3a+Vga7KbrqOKPn2973XSM/f6NIu04LRe4z7Cn7jb3HkRE5lgf9dVElskode9+BjiP\nrSu1vyzHvwl4agjhZWZ2KPA64HDgo8AjQgj7eyivyJja/kz4bN4Q+TasXZaZRsCctreN22zRvUGn\ndfbNB83po6bS/fBpyNzrGPj5+XO9UvsyQH1W2veanZahiT9+aYbcP5e6qYfvJv645LLvddnkGV7O\njXJ6icyTIf+8ycQphSDSzSjPaf4wDVesIYQXAy8erUgikzDKz8OQ2/umQVlVVeCqcve5X003IPr4\nOfbbmPRPfBo4N1Wz9lWnvbSqsw9+6wLGzeTfPpPsh3S5JjFgTm8GGMVPwUHAocAtgEPYel71uHxb\naxGZuaZWECIiso16eZEl0rUi0lAD5ihNhVW1TZ1km9CmrK9vgzvqNmZRgSxWg/bPVo7S49vUJjf3\naKr4um5ZPz4XJHc5tjGbHDsri1//8fFSuymC5kPZyjb3FTSHcjsii2vIvxZZffzE6T6YiCwJBc0i\ncy0GU7EqbXoFk1YN9o8p6iMYapM5zFVh7rLuWV6RxYxz7EU6d4y9+DzlmMlN2yWnVap9z9t+u23H\n597H3Hy++nVaDXsXRcB8UDnsQgGuyHaKDTPUKFZEloiCZpG55jtNSqvcxunxcUWbbtokyxSNk8qY\n9dVYPHbGVrCbCyb9/sYMcgyaYxXuA2wPmsfN+FfdWPDHPK2SHQPj3e5vHNo+JiunS+9ZdQ2G5y5f\nJ0tAn8qMIdzbFBGZEgXNInPNt3XNXcGsuPn72GbTero2lqvqzXnWfBXrqkA+nS993nPa27V/hFVd\n79y+infuOLY5Ruk2YrvlQ4CD2coqxyz6OPoImNX2WYZLn0gRkeWmoFlk7sVsZpptTh8hlAYhbXs8\nHneerhnmodbzSwPmps7V0nnjfvhnP8dsf9zX2L7YB625jr+6SgPmuJ3dFEHzIRRBc9oh2Ljadjcd\nj1VVJ2tt1iEyXW272RMRkcWkoFlkotJ2xZPW9NzctI1tk7ryttkX/6glr0tmuSqwGqKYWY5VudPq\n2GnHX3H/YyCbfhVXdSCWyz5XHdv0Bkpsy+wzy0O8SSG1hnpvSUREZMEpaBaZmDTLO+meuNs8PySW\npSmIbxtY14nb2qiZ3ibDmZtvyL2ap71ux3LGNs1puWPkE4Pmg8rxuQxzVe/bdcfBV8uuCpplbqSd\n1StoFhERmSoFzSITZe7vpIK9tD1o2i60afu5x0L19QySrhUaq5417du5VkUMkzi2TT3dxCrWsJVJ\n9pniXJCbvo7Z4PSmhl8mfSa0D6DrboKkj8zCrTswuegrvfEybhtl/xlQxCjDNNRbeSIiMj4FzSJT\nkVaNntSllW8v2zYl1UdmeVw+o+wfVRXniX9z+zWJY9t0HON0f/x84Ozfex+4xszvSrJ8GoRDkcE+\nQD4Yr8ro49bpl5tk2tL37D7uuuhhPSKj0SdPRGS5KWgWmZhcMDqNXERuG77qdnDjZ82XI5cRr8s2\n1mVNp71/Vcffv/aBs9+vVbZnkmNGO20f7deTE4PxNIu9zvYs+aQyuEP4bLH94wOKgKSzgXySxWlq\nlCQi0pdOjdrM7HlmdpGZ7TOzPWZ2lpndxc2z28xeY2ZXm9l1ZnammR3Zb7FF5sW4PSD3qS7bOQRN\nbXXbtNleyQzTjJDa1iZoc6kXg9pY/tg+ObZRju2U02cv54bYjjkGzbGa9zo721ovqElX8pCFp/ss\nw6RTW0SmpWtPMA8A/hq4L/AQiqux95vZIck8rwB+AXgMcAJwG+Ad4xdVZFxdg8R563EnzVbm2tXO\n4rIid/xGzWrWtWm1FsMo20sD7y7raRMU12WKfRvudIiPj0oD5xggH1wxxM7G1jL7M8nP+DydP46a\nT0uiaw8NMl3KNovIpHWqnh1CeGT62syeAnwbOBb4mJkdBjwVeHwI4cPlPKcCl5nZcSGEi3optUhn\n8Se1SyCctlcd+s9xGuBFs85s5/gydjFusD3K++iz1221vYRLA2f/rOaq8uR6FE8/23XHKA28V1Av\n2hXU55iIiIgkxm3TfDjF1do15etjy3WeG2cIIXzRzK4AjgcUNMuMte2JNx0/L4EzVO9TrpfsafE9\nZPedZW6j636nj2taZXs1ad82PO2kqqnqeJw/3ZfcM5jryl6VJU7bKOe27+drE2QvMR2aAQlYOYiI\niMzCyEGzmRlFVeyPhRA+X44+GtgfQtjnZt9TThOZsUXPONeZRfljoAijRyDjVpPv2jt4WgU6DjHI\njG2C03XH13WfkbgPsSq2D8DT5XIdtlWVM80SV2XDfQ/gvtq5yLAVn9igT6uIiMzMOJnm1wJ3A+7f\nYt66FEzpbIq2d6m7A/cYoWgiTcbJOKfr6CrX6/MkzDKzHPXRVfEobYnTv/7fbbaXBsxts8xpWdPX\nvgy5tsrpuuraoFcdz6b223VBc279fVGqVvoRs8yzzDS3+STP8y1VEZFFd1Y5EMDKL2yf5a0zUtBs\nZq8GHgk8IITwrWTSVcBBZnaYyzYfSZFtrnEScMwoxREZwTgZ52jUNrLp9qbx3GYmuI1JGac6dtPj\nq+q26bPLMWDOZYOrAttcu+Ncttu3J47zpD1a+6C8Ktit+hy3/Xzn2kmPSw2DZXHM2zeoiIhsd3I5\nmMGKFX8vDXBiy8qIna+SyoD5l4EHhxCucJMvpniOyYnJ/HcBbgd8ouu2RCavbQ/Hufm6BgOj9MLc\nlS/vLPoU7WPbaSCYO1a5LG3XfU+D2/RxTmnAHL8i0yDZr9sHyumQrsfP5zPH8fnJ8XFQB4D95V//\neKhchjuX6W77eev7c5nbT5H5tfCf4ln+ZIgMiG71SpVOmWYzey1wCvAo4HozO6qctDeEcGMIYZ+Z\nvR54uZldC1wHvAo4Xz1ny/yqe25wG7ngJRf89GUIvWbH/WsKmqp+ntKMqt+fdJ2xTXGXrLoP6NK/\nq+wMmOOvYDuTAAAgAElEQVQ6c9nrFfLb61J7Ic67Ua4rBsjxdRqAWzk+LfOiU8ZaZm8p4kgFzLLk\n1D2m1OlaPfsZFF+pH3LjTwVOL/99GsVV3ZkUDwc9G3jW6EUUmYaqK4U+br37jNskA+ZxO93qY9tN\n2d70J6muWnEMSNMuEXwAlW6zTRvqqoxwbshlsv26mmwmf5uORcw0x8xyeuNhheKZzHGZWL5c2Sb5\n3ufaS/exnqZpS34Z0+ajLTM312+PMs0iS3MrWkbT9TnNjZ+lEMJNwG+Xg8jA5dqa5uYZxTQzZGnH\nZrP8yvfBYcwERzGDO0pVdX8POK0BsErzuvzy6XOKm8rjM8q5zHPuc5R28BWPgw/aY/C7wVaV7Bg0\nbybl9B2EGds7Kevzvc9VIbea11B9AyS37txxVkY5K73PIyIiIjMx7nOaRRbApG6rV7XpjFfBfW83\nl3WdtrpOuNKrf1/9OTd/qiq7Gvc1BpB1kUUuaE6HKrlj6fczBrTephvS6Mdns9eTYT/bM80bbA+a\n02MZ50kD6FjuUTPQuSitLkjuEvDWRYAKmrN0P0FERGSmFDSL9K7NFW4a8CxDXbg0u5pmd3NBdq6T\nLd/G2WeZ49D0leaDPh8wt6l14DPpPihOA3tf1rRDsXTemIlOO/zaTKaZWzbdZuy4LFbfTnv8zu23\niHTV5gxahm9yEZFlpaBZpHdVGeZ0ug+C+jbLts05uYDZtxmO/656NFMaZKcdcaXPVe7ylebfJ99+\nuqrzN9/pWFol3dy03P74DHmsmh2zzD5oTpdLp8VAexfFfqflj8esTWdsIvOuOE9GfY5z8QzoNlsQ\nEZFlpaBZpDej1KHsO+M8lLbNXq4db6qp07BctWBf1btrYJgeq7QMuXJFG+51DIhzbYCretb2ZfZV\nuHMBc1reDfd6neKrPAbeu9gKpPUVD6h684Ir3trNkYLmImBu/v7VR0dEZLnpikqkN00Z5tz8k8g4\nD6Fts5cem6o2wlVVo/0xTTOoPgDtegzr5vfvS1otOmXubzo+rVodx/mbBzEQrsowp+XxZYkB81ry\n74MoHlywm+0Z+tz6cuVeQH3cQ1qCwzS/Quvg17Obl23agoiILDMFzSJj6yON1WfGeUhPGkyzwWts\nDxSb9tO3N/adf+V6n07ni3wbYt9ZVtVxSteTVsH27a3rxHLmyjDq++NvMMSettfLbaXVvANF8Bzb\nPcdtDrE2wkAN5VSSwdPHRERkcSloFhlbU4a5TRAcr8zHzTin1Zanpa68vs1xOn/dDYJcULyZLJfb\nz5ix9ccwjvNBeFOv2ak0w5xW506Xz73/aRljUD9uG+Nc52nryesD5ZC2Z/bHK3cTYUg1Ewaia+UR\nERERWUgKmkWmoksGeR571W7bJtl3slW1XLretMfouE7YmXH11Y39On3V6lGyzj7I9tv068hVy65i\nFDcYqjoUy80PO28SrJfTbmTrhkNVxtmXk8y0cQ2sQfGAiiIiIiLzQUGzyMR1abMcA6tJ9ao9CVX7\nl8sG57KkbR7zlAa8K9QvV5W1r3qWcrpcU1oxFxSnwXSuSnn6vOWq9adB9ZorZ1O5c8ciuMFXC/fl\nSPej74hyQKla1UgXERGREXS6fDCzZ5jZpWa2txw+bmYnJdN3m9lrzOxqM7vOzM40syP7L7bIPEgD\nprYBcN+dgrU1qaAmBoFdI5U0UG7TWVdu3q4ZTr+u3HqrthOrofuMcxqk+g7AYjvsWH08nS8+d9ov\n12ZIM9DrwH6KrPNN5etZ3IwZSHq3qkKASA/m5TaniIh01/VK9hvAc4Fjy+GDwDvN7K7l9FcAvwA8\nBjgBuA3wjn6KKjJvqnpbbrPMNC+/JtVwM1Y3HiVohvbHripwHmW/coGz77U6fexUVcCaqgpsczcG\n/HyjBM5p9fQYNN/EVtA8T7UYRIZB91hERJZbp+rZIYT3uFHPN7NnAvczsyuBpwKPDyF8GMDMTgUu\nM7PjQggX9VJikcGJwU+uneiowUlVu9ymZdIUWl27Va/vIMpnS+va5dZNz3UAlk5LbzL4fY//rnvs\nUhtpljmut6oNsJ/u34u0ynS6vqr3ze9XTlWd43SbMaMde9VerVnf0I0RvuRaEIi0oNtMIrLIVAGr\n2citu8xsxcweDxwKfIIi87wGnBvnCSF8EbgCOH7McooMWAyANtzQJcPsxSxt21M019GU74G6rpOr\nPrOPaYY5fYZy1bxN2eCqjHNd1ey0HE1laKOpw7J0m233p69jnqv+7TPO8fMZH0c1zmeza9kGZFat\nH2QpDOzTLiLSih4U0U7njsDM7O4UQfLBwHXAySGEL5jZvYH9IYR9bpE9wNFjl1RkqaQBWpuvMZ+x\nrGvP23fE4LfjqxbXBex9fEW3CWj7uIfqe/5O1xuD83Q7sRp3rmy5bHNU9cgsr6lmQdX20sdyzTp6\nrHpfJnzP21daqJvP96UmIiKygPQTV2+U3rO/ANwTOJyi7fLpZnZCzfy+LqOINIpVamPw2UVdIJKu\nv091Ge5FEgPPuL9pwLyWjAtu/tzx9o/QSreRqgqam9pSV5W9zyz3OKoewTWwe965+xoiIiKyVDoH\nzSGEdeCr5ctLzOw44DnA24GDzOwwl20+kiLb3OBsiuR16u7APboWUWSBpGkuaL5y99nHXHa0b75M\nuariVfOm2fRR76/FZdOsdt2Ng3GORbpvq5kh9zitqgC1TTnSDHHd8rk2200Z3KFkmmewyVE22zY7\nLSIiIoNzVjkQwMrLH189uk4fz2leAXYDF1M0ljsxlsnM7gLcjqI6d4OTgGN6KI7IIkmr8Da1b67K\nzs3qEVa56KSqKnLM2HbtbRx2PiO5Kvsaj+GoxyPNKu+i+PpcK//tn6/dlNXt2rh21PL6GgB1NxQm\nYZRyd/nMdzSBVYpEs74FJSIi1U4uBzNYseLvpQFObHnZ2SloNrM/A95H8eipHwKeCDwQeFgIYZ+Z\nvR54uZldS9He+VXA+eo5W2Qcaba4qlfmugzzLANm39a5KhtaVXW8KXuaLl/VCRZuHqNdwGru3/GZ\n036IbZnjsY7VqXNBc7rNcTvjquq1PXdM02x82vZ6qKnTurRul7b+TtsKGyKOPjIiIsuta6b5KOB0\nipTwXuDTFAHzB8vpp1FcMZ5JkX0+G3hWP0UVWWa+im6blNmsMsy5LG8MmH2ZfLXsuE++TXCcVpW9\nrus1etPNV1ee3D6kGea0/fJapvxpD9Xp85z9zYs+3pd0m74Kf66NedqT+IDaDIvMAWWRRUSWW9fn\nND+tYfpNwG+Xg4j0KlfFNxpChhm2t2XOlaEqKxqlz2RO/8Z1NwXMftu5AJ1kHp+NTdeZZmfTjHJ8\n7be1yfaA2Qfkk3g/mtqsVwXMTb2ai0hKZ4qIyHLro02ziExdXbvPthnmXBDZFGQ2PdYpDWzTDLGf\np4kPluOyVdts8yzonBV2Bsnp4B+fBduPS1ole52dQfO0noecE8uZPjM7Bv7TLIPI/Gv7jSoiIotJ\nQbPI3PJZ5TZZ5lw7Xb+udHoaIPoscG7dfp1pAJ8GobnypNpmZXPrrCpXbjzszFTn2klX3UCIgfFG\nZvABc1qNu091bZp9dfL02dnSySwP2RA6OhcREVliCppF5lqurXPkA9am6ri5trB+erpdP83Pn2uP\nTMXrqjK00Taa8cfAZ5PTTLIPlH1m2Xf0FQPlppsVo0ReVRFT3Xsas+O+0zK1Z+5s1rXYAzvvi4mI\niMhUKWgWmXtpcOqDuzSDnPZe7dtAtwnqYvSQyzj7KstpuWI5fFY7fa6xD2QnIdfBV12GORXL6YNl\n30N2Vc/Oo+5XU60Bv15fpTw+EstnmpdUbMbetgNu/5GZFQXNIp3oVBGRviloFlkIbZ5tm85j7t9d\nooK6jLOvku0DaP+IpElGJLF6ck56jPyxCxTtknN8gByzzLnM+yrbj8Woco/qituIf9OseRosH1QO\nMXBOHzfl1zWJGxYDu3T1p4BIS20+LgP7tC+tWTw3QkQWn4JmkYXR1JNymvGt64nbqwqwfNXwulRY\nXVvpXJA/bkRTFxVVtU9Oj0tVVWvfuZd/ndvPcS7f2tYASHvGjlnlNGDe5ebx6xylWvycaptlzlGg\nvbQUhM0HVcqQcdTVFxNR0CyyUNJAti6ATdNtPviNjHwGMvez0vYyJa4rBqVpx1TTegxSLt0Ye8BO\nj11uf3ww3dQZW5tjMm6w6nvHTjPMu8u/vgOwodQ7niOTSsbLXNDbLrL4VBlJ6ihoFlk4TYGab2Nc\nt0wuG+zbUHcJEH2QGsux4v7dtPy40qC/6qaBnxfyVc/jv33Q3OZxU2m16lHFzHKsgn0Q24PmtAOw\nuM2m49yXBbns6ONtkrnW5dtNROZT7upIJFLQLCIN/L3XtO0vFX/bVo5L20Bvku+YC9rd9x313nC6\nP01V23PV2kfNMHfN9vrMfzxOaUdfu9yQVsme1r1zZbFFRERksShoFpEWYtAcO9bK9ZadZp/bdsXi\nA0zfPrdLdeJRgsKYafb74lXtjy9/lwxz18DS9/adBstppjnt9Ct2DKaAWURERGRUY9VAMLPnmdmm\nmb08GbfbzF5jZleb2XVmdqaZHTl+UUVkutIer6s68vJZz1yPznWNQdNt1D3KKSe3/dUOw0rFepoC\nPn9c6nrRblIXzMZOvWIb5d3AweVwSPLvg9lquxyzy7kM8zRbabXZlm9HLiIiIvNskW+dj5xpNrP7\nAL8FXOomvQJ4BPAYYB/wGuAdwANG3ZaIzErbfiTj12QMJNsGaD4z6zO+dV+96TZGaaebC8h9h2dV\nRs0wtxUz7mnwGzPI/nU6zwqzyTBXaXMM1XpMhq/tt5mIyDKb9VXHJI0UNJvZLYE3A08DXpCMPwx4\nKvD4EMKHy3GnApeZ2XEhhIvGL7KITFfapjkXEOeqNo96+ZjrZCy2dY5fVytuSMthbtk6/mu9qYp2\n3bxde4ny2fm0w7U0YE4D4Jh1jvNXVcHOZfxxr9PpsLg/cSL9UEAsItLOol5RjHqL/zXAu0MIH3Tj\nf4biSu7cOCKE8EXgCuD4EbclIjPnHzPl29f6YZyvzLS68wawnvw7Bu112+yjDE1ywWnd8agbYkAc\nq2AfAhxaDoewVRU7/fdudrZhjkF0XWY+d6NBmV6RJot6ESgiIu10zjSb2eOBe1EEyN5RwP4Qwj43\nfg9wdPfiiUj/Rm3fmmacfXvgKA3ActWVc/maXFa4qhdqH/hVZUrbVAtu22EXFMFobp1tOzxL1xf3\nYdX9jUOaQc611478DYNcRrlun3Kvp932eQbmdfdG6ZxeGgWsHOo/FjrkIiLLrVPQbGa3pWiz/NAQ\nwoEui6LfHJGBGDW7mAbNkM/m+oDaix1opfOn1bD9vOm20/X74DHdVlMgG1rMk5YvfbzWuNLy+/bI\nPohO588dU38c0m2MGhn2nXkeWHQ674n19Mlv0osYNPdxUPW2iIgsrq6Z5mOBWwMXm1magjnBzJ4N\nnATsNrPDXLb5SIpsc42zKaodpu4O3KNjEUWkXtssZFX21we3uSAt99zjqixz1TQv7a163PbTuf1P\nbwaknVTl2m93XX96jHzmOM0Wp39xy1Rto2pfRr2EX+BL/0Vowq3bzz0pgmUj3JxpFhGRxXVWORDA\nyi99XzW6Tteg+QPsjGLfCFwG/DlwJXAAODGWy8zuAtwO+ET9qk8CjulYHBHpjw/OctnYXJXmqoxz\nNOnL0a71VesCyrgvVb2Gt+2h2x/Lqkc/+Q7N/I2HeY7uRIYrYGyyklTOFhGRRXZyOZjBihV/Lw1w\nYsuHn3QKmkMI1wOfT8eZ2fXAd0MIl5WvXw+83MyuBa4DXgWcr56zRYagKQhLW/ZVZYGrvl2q1u0b\nY+YeMRX/XXfxWtUjdN22205P11uXua2r3+v3JdfhVq7tcd1Nh7oaAV0C6nGrbI8avCsYkcXQ5gzQ\np11Ell3akG/RbvuP/JzmhP+dOI2im9szKbp4PRt4Vg/bEZGx5IK2lK+SHIe2Gee6r8dNN+TKVLWt\ntHxxmVzP1VXaNmRtClDr2mo3VeOuKmubdeXK0yUL3RTst1l20X76RLpRQCwi0iz9rly0K4exg+YQ\nws+71zcBv10OIjIYbQMnXzW5KuMc3ODn8+2Oc9Wo/XOf67LNvqfpXHXnuiB0nDa+bQPzLhntpnma\nlq8L8kfZ5ijbkoWknrp30BkgItJO09MI5lUfmWYRWSj+PmGbLLDn5x33ytvY6jjLP6IpqgpaR/nq\nbsoGD9EkAtxF/emTRrGO3Tz3Nt4j3TsQEVluCppFlkLM4FZd+vnAKFfBpioLXNWjdcueFVpdjsbn\nF69R/WxiMq/H0dSueIimlRXuUjV8VtuWsVRVDpFK+mSKyDyr6gJVCgqaRRZe2iP0Rs10z1ezTq+e\n/TJVXT80PR6qbhvptvyzjXPBYVUmfJReqOO+KM22Xa4aunr5FhERmVeL3HlXnxQ0iyyNqrSRH++D\nXq8qwI6diLXZpp+nSgzS0oC57rFPVfuXy5I3/TT4ttqSb0Oun1kREZF5pixzMwXNIguvqZ5lzNC2\nzRjW9Y3Yd53O2JY5DZhHyRrXZcllNqo6T1MgLiKjid8qK7RvICQi0oaCZpGF1yaA7ZpVrbon2XcD\nyDTLPE6wm5bL927UJuPcZr55M439aVOLoGr8gI63r6wwoKLJcMx18++6J+bNGd1yE5FJUIM9ERmo\nNGfQ52VQbL3T5WbCEPQZTLbN5urS82ZD+ijI1C3FmVDX8kVEZMkp0ywiY5jUY+zTgDlWy+6ibTvq\nqkxnOt8oVdcn1Wv0ao/ravvM7qUIF5p1/SjIQln4+yW5x96LiMjNFDSLyIgmFTDH9aXPYh7lSq5t\natB3ajWKWfc9WbXdcbP0unoWAZ0JIqD7KrLcFDSLyBgmlX7zQfModQabgmbfTUzVduJ+1WWRZ5mG\nbOpQa5z6luNmmnVpJYuhy+03kUWlBzHKMuv02TezF5nZphs+n0zfbWavMbOrzew6MzvTzI7sv9gi\nsvjSqtmTCEY3gXWKZ1dvZgb/fOmFr6ApMqeMwAqbyoGJiMiEjHLD6LPAUcDR5XD/ZNorgF8AHgOc\nANwGeMeYZRSRpZNmSSeVvQ0UQfM6+aA5DZy7dB4mItMUsHJQDkxERCZjlOrZ6yGE7/iRZnYY8FTg\n8SGED5fjTgUuM7PjQggXjVdUERmuvtv0plWO26wzlwmOgW+6TkumpQHxOjvbT/vHUsVnDs2y7fKk\nTKqlmm/3vmjHTWSLbqmJiCyuUW7L3tnMrjSzr5jZm83sx8rxx1IE4efGGUMIXwSuAI4fv6giMlyB\nfqswp1nmLmWoyhjXZY03KapoHyiHXOZ50TPOde2i+9yGAmaZT/rkiogst66Z5guApwBfBI4BXgx8\nxMzuTlFVe38IYZ9bZk85TUQGLQaEUdfMYF+PJ0ozven20/L4AD2w1TY5uNdRLgj3nXxtJq/TTshW\nk/nr9tFnouflUjtX1kk9Nktk/izabTIREemmU9AcQjgneflZM7sI+Drwa8CNFYvFK1wRGTQfiM6y\nJ+hcr9k+sEvLG4PkXJY48uvNBYpxPWlZVt3rpqB5ER7mqz5SRVLzfDaLiMj4xnrkVAhhr5l9CbgT\n8AHgIDM7zGWbj6TINjc4GzjYjbs7cI9xiigiN/NZ1SZ9ZE27btMogtRVt71csJwGxjFg9j1h+za1\nPnvsg2dfzdyvY5XtRjku85CJ7rNtusylNveIlogeOSUiMt/OKgcCWPml7qtH1xkraDazWwJ3BN4E\nXExx1XpiLJOZ3QW4HfCJ5rWdRFHjW0QmIwZCbdvk9pE17brNGMz6oNmXKw2W97MVMPsq2lXlWaH4\n+lsrtxW/CtOAPFY39+tJy9X12MT1x5sDIgM19Ps6IiIiHZxcDmawYsXfSwOcuNm0ZKFT0Gxm/xN4\nN0WV7B8F/pTiavVtIYR9ZvZ64OVmdi1wHfAq4Hz1nC0yJLkqyXVGbV0xSpY5lwGOgWsMvn12OXbg\nlQa7Vdv0gfAmsIvtabWqrDNuvjq55arKIjIw5v6KyMJp8yslIlu6ZppvC7wVuBXwHeBjwP1CCN8t\np59GcSV7JrCbos71s/opqoiMJ60WvOLGz7rbgbRcq8mQK6cPmOOzlqFbBt0H0DHrvMJWW2h/+zEN\n6pu2sUH3HsBFREQmT79SIt107QjslIbpNwG/XQ4iMjhpr9Dp66rAeZz6mW37AEzbGueyzKm0w684\npL1kV+1D+jddV1zfgWQeP3+cJ5Tli5cZ8SbEZmaZdBuLouvnYAHr9i7gLg2Rlf8zG8750+ZtH05p\nRdrT51aknbHaNIvIIohBa1XHWaNECXG5pix2jEJ8drnqvrcPmmMwS822mvZhk63q3bDVnjoek3RI\ny7eSzB/3ZVGN8llYsEax6hRreiywsrKJDehyfjglERGRWVDQLLJ0fK/YUVotGcYLeiwzVGWBYwCa\nVo/OPV4KtrdnTjv98vOlNtn56KpUzDivJ9PSjsjSttK5oHkZoqm2nwX/ng+80l/bt01tfKfKLBRZ\n5gEd7wEVRUREZkBBs8jSiQGzD/Z8kNPHZaLfRtqW2Ldh9lW0c+XOPUqqSQx62zxjOVbT9vPGba6z\nPWjWpXRhzrLKc1ZcmT1lmkVElpuCZpGlVNVv5rhRhM80RivJ9mLQnOv0Kxdkw87sclMv2V4arDfN\nk7aRjvsUp2+yPXBeTaal2fRlTE3OQWY5paB54Nr2iTAc+jiJiCwuBc0ic8EHJDGAG5I0exyD36pH\nNqUB81ryb9ieCY+vYzvmXBvmNFBdZfy22TGjHMvjO06LZVkBDkrG56q8i4iIiMi8U9AsMhd89jYG\naONmYnxmdBw+YI7l81lXHzT7dsxpRjoGqXFYZ3uwnJY/3Z4PmrsEs3GbsL2Tr/TYp0F82ns2DD9o\nnmT5+vw8iYi0o9uVIjJpCppF5lIfmec+s6NV60irZafBawyUY9Dsl/W9VsfHQvnq2VVlWXWvu/CP\nr8otH3vcjr14p4F/amjVSyfVmDf9LM1RFW0ZsGGdO23OmGGVeDmM0q+/iMgoFDSLzCUf+IySeY6Z\n2j6CnFww5jPMvvp2rqfsNMscA+Q0yxyrZ9cFzH1cPsWgPJbXby/tGGyd+QkWJ1nO4P7OASXGpaU5\n+lQvFfXpJyLToqBZZCFUBXdtTDLY85c08W9VZha2V8leZ+fjpaZ1+eo7Basqa9fevGXm1AR96RmB\nLs+B1sdERGS5KWgWmStVqbGhXv2nnWj58VUZ5rTN8DpFNWh/cVuXae5TDJirAvy2j8BSSnNw9JYs\nucAKm60DZ90WExFZbp1TTGZ2GzP7RzO72sxuMLNLzeyn3TwvMbNvldP/1czu1F+RRRZRU8usecpo\n+g7BctPqsrYb7m+VOP8oz27uS9P7Mk/vm8iQzN/djPkr8YwFN4iIDFinoNnMDgfOB24CHg7cFfhv\nwLXJPM8Fng08HTgOuB44x8wO2rFCESlVBZnRvAVfsTOuuqA5fSSVD4DbdPjlOwvr89jkruSqXjdt\nO5ZvWc3LZ1ZEpm6IT08UEcnoWj37j4ArQghPS8Z93c3zHOClIYR3A5jZbwB7gEcDbx+1oCKLra9H\nSA2N7xisKsM8alts/2ipPvhHWZF5Hf+tvlvz0ithHRsRERGZb12rZ/8S8O9m9nYz22Nml5jZzQG0\nmd0eOBo4N44LIewDLgSO76PAIotp3jLJbdVV1Ybx9jtdd5+Ba5r19m2tfTkVNFdb1M+0iIiILJuu\nQfMdgGcCXwQeBvwN8Coze1I5/WiKK6Q9brk95TQRGUva7jcdhhycmBsmsc4+1p0Geb7K+LIHy3XH\nomk56c1Sfezm77MzfyUek9oji8gS6Vo9ewW4KITwgvL1pWb2UxSB9JtrlmtR7/Rs4GA37u7APToW\nUWSRVV2hxDbEMrpcZjSO85HKUkUvbH+m97Ls88CoNcBM6ZBnqDKJiMyRs8qBAFZ+b+3rsHzXoPk/\ngMvcuMuAXyn/fRXFb8tRbM82Hwl8sn7VJwHHdCyOyKLwl2Rdr0LSB8+m6xzipV5a5XkIV1tNXbjW\ndQbWpmp4jHRk5nIVBrosN6tnO3etTOH725OxDeGbapB0YERkTpxcDmawYsXfSwOc2LIzwq5XcucD\nP+nG/SRlZ2AhhMspAucT40QzOwy4L/Dx+lV/uWNRRBZJzBTHoeuV7mfYXm176Lf/h5SiSKset503\n0C71t+ypwYHtd+5jt/+M9svO4j7PKBnmvltDzMT8FX7+Sjy+M/7vrEsgMr/eP+sCSCddg+a/Au5n\nZs8zszua2ROApwGvTuZ5BfB8M/slM7sHcDrwTeCd9atW0CzLzF/ldg20Putet30c0qJrGz10aRvt\ne+xuCpoXIoJZLOlbeKBl0OyXm7auAbs+bjIFCppFRqegeb50qp4dQvh3MzsZ+HPgBcDlwHNCCG9L\n5nmZmR0KvA44HPgo8IgQwv7+ii2y6GLmeZxn/Ma6pMua6fTVoqtuIPiAtsvNhmU+vjIV6f0v1fIX\nERGZia5tmgkhvBd4b8M8LwZePFqRRJZd+mzgGND1neJK2xVPKws6jbbMvk2333bTMlXzpm3Gc+3G\nhxY8j5vd9m3k+9ivqmM4ynoYcx1zJri/beYfSpcBIiIiC6Bz0Cwi0xSDsRhw9ClmU6cZ7E1iP6Kq\nDrf62GZT1r5u29PWRwDfV2/ZvhO1aIkC3lnx/QLOnfmL+OevxCIi0tYQgubyOVP7KTrnFllGsRfm\nKhvUX5LdSPX5k1u379Bq3MdVxUBthe0dmvmgq6nac2DnM6jbXopWBa5d23XXVYmP+7hWDodQfIVV\ndeBWFcCm2WmvanzVZ8Rnlevez6p1dFn3invtp/vy+3WvsP3zkm5rJRkss4wvW4O0arNf9OZs7F5Y\nv2Rnsap6oK6br2rZtvOmh8RPT0+t3HK5baXzV203/eimy63ULJsbn1tm27pDOS3AyiasBMLaxta/\nbe+RHlMAABgxSURBVJPN1U021jZgdYOwuolZwCwQbIMNNllhEyOwwiYrbLDKBivl6zh+9ebxmzf/\nTf9d/C3+vcZG+XEIN49frZx3E6tZ/xrrGIE11mu3uVrOG+fbWsfO9a6ywRob5bwbyf6V69/cZG09\nsLoOq8Vhgw2wtD/IA8A6O79WN8ppufHryXLrybjMsPcmuOQ7blv+bzpkxoV12NgohgObcCDA/rC9\n6AeSYX85HEiKth+4yY1bZzxdbj/mvhW7fLv79fRxv6tt2btcATRdqeTWNe06WF1+dbv+2ua2Ner7\ntQp8H/jCCMvGbVcd27blz2nTS0vbYzOtFkV1Vza598fC1vgvbV0e+uce72AhzPbeaNmZ2FtmWggR\nERERERFZRk8MIby1boYhBM23Ah4OfI0iXSYiIiIiIiIySQcDPwGcE0L4bt2MMw+aRURERERERIZK\nD7AQERERERERqaCgWURERERERKSCgmYRERERERGRCoMIms3sWWZ2uZn9wMwuMLP7zLpMIrNkZg8w\ns3eZ2ZVmtmlmj8rM8xIz+5aZ3WBm/2pmd3LTf8TM3mJme83sWjP7ezO7xfT2QmT6zOx5ZnaRme0z\nsz1mdpaZ3cXNs9vMXmNmV5vZdWZ2ppkd6eb5MTN7j5ldb2ZXmdnLzGwQv5kik2JmzzCzS8vfjb1m\n9nEzOymZrnNHpIXyt2jTzF6ejNP5M8dm/iaY2eOAvwReBNwbuBQ4x8yOmGnBRGbrFsCngGeReciw\nmT0XeDbwdOA44HqK8+agZLa3AncFTgR+ATgBeN1kiy0ycw8A/hq4L/AQYBfwfjM7JJnnFRTnxGMo\nzovbAO+IE8sLlPdSPIz7fsCTgacAL5l88UVm6hvAc4Fjy+GDwDvN7K7ldJ07Ig3K5N9vUcQ0KZ0/\nc2zmvWeb2QXAhSGE55SvjeJL+1UhhJfNtHAiA2Bmm8CjQwjvSsZ9C/ifIYS/Kl8fBuwBnhxCeHt5\ngfM54NgQwifLeR4OvAe4bQjhqmnvh8gslDdgvw2cEEL4WHmufAd4fAjhrHKenwQuA+4XQrjIzB4B\nvAs4JoRwdTnP04E/B24dQlifxb6IzIKZfRf4fYqLe507IjXM7JbAxcAzgRcAnwwh/J5+e+bfTDPN\nZraL4k7muXFcKKL4DwDHz6pcIkNmZrcHjmb7ebMPuJCt8+Z+wLUxYC59gCJrfd8pFVVkCA6n+Nxf\nU74+luIufnr+fBG4gu3nz2fiRUvpHOCHgZ+adIFFhsDMVszs8cChwCfQuSPSxmuAd4cQPujG/ww6\nf+barKtnHwGsUmTIUnsoggIR2eloiiCg7rw5miK7drMQwgZF4KBzS5ZCWXPpFcDHQgifL0cfDewv\nbzSl/PmTO79A548sODO7u5ldB9wEvBY4OYTwBXTuiNQqbzLdC3heZvJR6PyZa2uzLkAFI9OOU0Rq\ntTlvdG7JMnktcDfg/i3mbXtu6PyRRfcF4J4UtTQeA5xuZifUzK9zR5aemd2W4ibtQ0MIB7osis6f\nuTDrTPPVwAbF3ZfUkey80yIihasovmTrzpurytc3M7NV4EfQuSVLwMxeDTwSeFAI4VvJpKuAg8r2\nZSl//vjzK77W+SMLLYSwHkL4agjhkhDCn1B0ZvQcdO6I1DkWuDVwsZkdMLMDwAOB55jZforP/26d\nP/NrpkFzeSfmYorefYGbq9OdCHx8VuUSGbIQwuUUX6zpeXMYRVvleN58AjjczO6dLHoiRbB94ZSK\nKjITZcD8y8CDQwhXuMkXA+tsP3/uAtyO7efPPdxTHB4G7AU+j8hyWQF2o3NHpM4HgHtQVM++Zzn8\nO/Dm5N8H0Pkzt4ZQPfvlwJvM7GLgIuA0ik4n3jjLQonMUvk85TtRBLkAdzCzewLXhBC+QVEF6Plm\n9mXga8BLgW8C7wQIIXzBzM4B/s7MngkcRPEYnjPUc7YsMjN7LXAK8CjgejOLd+n3hhBuDCHsM7PX\nAy83s2uB64BXAeeHEP6tnPf9FBco/1g+3u0YinPs1R2r3YnMFTP7M+B9FE8x+SHgiRTZsofp3BGp\nFkK4HhfYmtn1wHdDCJeVr3X+zLGZB83l43GOoHgG2VEUz6Z9eAjhO7MtmchM/QxwHkUblkDxLHOA\nNwFPDSG8zMwOpXju8uHAR4FHhBD2J+t4AvBqirufm8CZFFXsRBbZMyjOmQ+58acCp5f/Po2iadCZ\nFBm0symeiQ5ACGHTzH4R+F8UGYDrKW7kvmiC5RYZgqMozpNjKLJbn6YImGNPwDp3RNrz7ZB1/syx\nmT+nWURERERERGSoZt0RmIiIiIiIiMhgKWgWERERERERqaCgWURERERERKSCgmYRERERERGRCgqa\nRURERERERCrM/JFTAGZ2O+CIxhlFRERERERE+nF1COGKpplm/sipImDe9XXQM7tFRERERERkam4A\n7toUOA8h03xEETD/SvHPHUXyr1d7mOanN20zfV23nnHKN6ltjjpvjx+NtofE72bdbjfNmzY86HJI\nfIOFukPSZZt1+1K3zab97PKRrzvWo74v46xnnM9CX5+pLsev7WeqcZvJjcrVDbeezW0vbWVr+ura\n9nlXV7fPu7Labt6VFTcNt57k9Qrr24tXO69fb1Iet9yqm7ftevy6ds7ry5eWoct6xtnmZjJtvWHe\n6mPUtux+m33ti5+21uk9G2dfRn3P+jl+Oz+b7T/X/Z07Ix6TDTdtx+uQzIubtv21pUXYviu4Imx/\nvemmrVfMl5s3nd60zbblq9uGX7Zp3rry1S1bt566aUOYdxbbrPsMNa1nnM9f23nrPkN+utvGult2\nPVl23c2bnr5+uboiNJ06dfPWLTvqtK7brHsb+ipf+vpq4J/gUIogdPBBc+kI4DbsLNIu93qth2l+\netM2u8w7i/LVrbev8nVgNa99gNglaKk7JHXLNh3quoBnGbfp553GerrO23a/B7nNJGh2wa1/batb\nX+0ru9zFvA+Mk9era+6CPZ22I2iuCwr8hX/dvH7a1rJ1y3VZj19X3Xq6lKHfbS7G8Ruv7H3ty+Tf\n+53b7Ov4bf9yrD9+K5XTitfpeqiclgbFAKvuKnwtmb7qriL9a2t7xelfD+FqvstV96jzjrMvXY7t\nJN6HLvP2Wb5JvGd9vQ9d5vXT/HVtzb74OrXroWbaZs009/pAxb+b5q2b5qePOm0eyteWOgITERER\nERERqaCgWURERERERKSCgmYRERERERGRCgqaRURERERERCooaBYRERERERGpoKBZREREREREpIKC\nZhEREREREZEKCppFREREREREKihoFhEREREREamgoFlERERERESkgoJmERERERERkQoKmkVERERE\nREQqKGgWERERERERqaCgWURERERERKSCgmYRERERERGRCgqaRURERERERCooaBYRERERERGpoKBZ\nREREREREpIKCZhEREREREZEKCppFREREREREKihoFhEREREREamgoFlERERERESkgoJmERERERER\nkQoKmkVEREREREQqKGgWERERERERqaCgWURERERERKSCgmYRERERERGRCgqaRURERERERCooaBYR\nERERERGpoKBZREREREREpIKCZhEREREREZEKCppFREREREREKihoFhEREREREamgoFlERERERESk\ngoJmERERERERkQoKmkVEREREREQqKGgWERERERERqaCgWYC3z7oA0uTyM2ZdAqnzPr0/Q3flGR+b\ndRGkxvlnfHPWRZAaZ5w16xJIkzM+N+sSSJ0zbpp1CWRcCpoFBc1z4GsKygZNQfPgXXnG+bMugtT4\nuILmQTvjn2ddAmlyxudnXQKpo6B5/iloFhEREREREamgoFlERERERESkgoJmERERERERkQprsy7A\nlqvLv75I/vVqD9P89KZtpq/r1jNO+Sa1zTbz7gU+Sf0x6SDUvN500zY6rCfVtJ70dtC6m1Z3SPxt\npLpD4t+WdNkuH7+6bcbl9u+F716ycz1dPvKrNdPqlp3Uekbdpn89jfVA/fv7/b1w2SUtt5l8sFfd\nB3dt+wc7rGxN31zbPq+tupMgXZebl2TezZXt0zbdybSRvF5xJ8+Gm3dl27zb17uavF51y626eduu\nx69r57y+fFvTD+y9ge9d8tWW6xlnm5vJtPWGeauP0fZp7bfZ1774aWud3rPu+3LD3gNcfsn3Wu93\nH9vM7cvOz2b7z/VKzbmz1uk9G21fVjbcebYR3Otknf4rwr22dFXrsHcfXPLp8rX/vU1f+9/m9Yr5\ncvOm0/3vdt2ydfM2XSukyzbNW1e+umXr1lM3reO8e2+ES67qeb09lq/1vHWfoab1jPP5aztv3WfI\nT0+W2xvgk27Z9eT1uitPevo2nQ7rFf/uOm/dsqNO67rNurehr/Klr6+mPQuhLjKZPDO7HXAZcOhM\nCyIiIiIiIiLL5AbgriGEK+pmmnnQDDcHzkfMuhwiIiIiIiKyNK5uCphhIEGziIiIiIiIyBCpIzAR\nERERERGRCgqaRURERERERCooaBYRERERERGpoKBZREREREREpIKC5gVkZs8ys8vN7AdmdoGZ3adm\n3qeZ2UfM7Jpy+Fc/v5m9wcw23fDeye/JYur4/jy5PN4bybG/ITPfS8zsW2Z2Q/ke3mmye7HYOr5H\n52XOj00ze3cyj86hnpjZA8zsXWZ2ZXkcH9VimQeZ2cVmdqOZfcnMnpyZp/V7LtW6vj9mdrKZvd/M\nvm1me83s42b2MDfPizLnz+cnuyeLaYT354GZY79hZke6+XT+9GSE9+gNtvM6YdPMPpPMo3OoJ2b2\nPDO7yMz2mdkeMzvLzO7SYrnHmtll5TlyqZk9IjOPruUGTEHzgjGzxwF/CbwIuDdwKXCOmVU90uuB\nwFuBBwH3A74BvN/MjnHzvQ84Cji6HE7pvfBLYIT3B2AvW8f9aODH3TqfCzwbeDpwHHB9uc6Det+B\nJTDCe3Qy29+fuwMbwNvdfDqH+nEL4FPAs4DGxz+Y2U8A/wKcC9wTeCXw92b20GSeUc5Lyev0/gAn\nAO8HHgH8NHAe8G4zu6eb77NsP3/u31eBl0zX94dyvjuzdeyPCSF8O07U+dO7ru/R71C+L+Xf2wLX\nsPM3SOdQPx4A/DVwX+AhwC6K6+ZDqhYws+MprrX/DrgX8M/AP5vZ3ZJ5dC03dCEEDQs0ABcAr0xe\nG/BN4A9bLr9CEaQ9KRn3BuCfZr1vizB0fX+AJwPXNKzzW8BpyevDgB8Avzbr/Z3HoYdz6HeB7wGH\nJON0Dk3mvdoEHtUwz18An3bjzgDe29d7rmH096diuc8Cz09evwi4ZNb7s2hDy/PngRQ3AQ+rmUfn\nzwzfo8wyjwbWgR9Lxukcmtx7dET5Pt2/Zp63Ae9y4z4BvDZ5rWu5gQ/KNC8QM9sFHEuRUQEgFGfe\nB4DjW67mFhR3za5x4x9UVkP5gpm91sz+Ux9lXiZjvD+3NLOvmdkVZubvTN6e4o5xus59wIUN65SM\nns6hpwJnhBB+4MbrHJqN+1G8f6lzKN/Pnt5z6YmZGfBD7PwNunNZXfUrZvZmM/uxGRRvWRnwqbLa\n6PvN7GdvnqDzZ4ieCnwghPANN17n0GQcTlEjwH9npY6n/nfoDuhabvAUNC+WI4BVYI8bv4fiZGzj\nL4Ar2X5yvw/4DeDngT+kuPP83vLiRtob5f35IsUP4KOAJ1Kcsx83sx8tpx9N8WU9znsuW8Y6h8zs\nOOCngL93k3QOzc7R5N/Pw8xsN/18b0p//oDi5m1atfQC4CnAw4FnALcHPmJmt5h66ZbPf1BUF30M\n8CsUTbg+ZGb3Kqfr/BkQMzuaoqnD37lJOocmoPwNfwXwsRBCXRvxqt+heI4cha7lBm9t1gWQqTDa\ntf37I+DXgAeGEPbH8SGE9OLlc2XnEl+haAd9Xr9FXUqV708I4QKKH7tiRrNPAJcB/4WiulXndcpI\n2h7P3wQ+G0K4OB2pc2hw4s2KuvdU59CUmdkTgBdQVEe9Oo4PIZyTzPZZM7sI+DrF79UbplvK5RJC\n+BLwpWTUBWZ2R+A0iuZDVXT+zMapwLXAO9OROocm5rXA3YCfG2HZNueIzqMBUaZ5sVxN0fboKDf+\nSHbevdrGzH6fIgP20BDC5+rmDSFcXm5Lvfp1M/L7E4UQ1oFPsnXsr6L4Uh15nbLNOOfQIcDj2HmH\nfwedQ1N1Ffn3c195c3Ds81LGZ2aPB/4WeGwIofZGUghhL0Ugp/NnNi5i69jr/BmWU4HTy2uFSjqH\nxmdmrwYeCTwohPAfDbNX/Q7tSabrWm7gFDQvkBDCAeBi4MQ4rqw6ciLw8arlzOwPgD8BHh5C+GTT\ndszstsCtKKptSUujvj8pM1uh6J35P8p1Xk7xZZuu8zCKXh1brVO2jPkePQ44CHhL03Z0Dk3VJ0je\nz9LDyvG9nJcyHjM7BXg9cEoI4ewW898SuCM6f2blXmz9Bun8GQgzexDFefH6FvPqHBpDGTD/MvDg\nEMIVLRbJ/Q49lK3fIV3LzQFVz148LwfeZGYXU9wNPg04FHgjgJmdDnwzhPDH5es/5P+1d28hVlVh\nAMf/H5YYXjCoJMUHbboQWVBBD6FD0kP0MEVJFJGR0ksFgVRUmJeCQoLILtZDGBrkQ0ShiJVgCEUo\nRVdR1LQM6WJZitNIqF8Paw+exrPTM3PG0fr/YCOz1z5r7e1inVnfrLXXgicp29/siojev3IdyMzu\n6n2X+cDblAbdQXnveStlEQO1ptX6eYIyPXs7ZbGJRyhbTjW+M/s8MDcitgPfAU9RVi79x/QsnbCW\n6qjBbODdzPy98aRtqL2q/88Ojk6xnlxtT7Q3M3+IiGeA8ZnZO3X0VeCBiFgELKV0SmZQRgh6/Wud\n68S1Wj9VwLyMsm3OxobfQT3VQjhExLPAKsp00gnAQsrqwCtO0mP9Z/Sjfh4EdgKbgBHAvcB1lA5/\nL9tPG/XjO67XbGBDZm5ukqdtqE0iYgmlz9wFdDd8Z+3LzIPVNcuA3Q39hMXA+oiYA6yuPn8VpT31\nsi93qhvq5bs92n8A91EaXA/lr1hXN6StA5Y2/LyTMrWq7zGvSh8BvEfp7B8EdgCvAOcO9XOerkeL\n9fNcVUc9lO0IVgGXN8lzQZX+JyUQ6xjq5zydj1bqqDp3YdVupjfJyzbU3rrppGzv0fc7a2mV/jqw\nrslnPqvqcxtwVyt17jF49UN5p7/Z76DG78EVlM5jD7CLst/ppKF+1tPx6Ef9PFy1mW5gD2V132lN\n8rX9DFEdVefGAAeAWTV52obaVz/N6uYwMLPhmmb9hFuBLVUdfEWZ3dk37wXYlztlj6gqSZIkSZIk\n9eE7zZIkSZIk1TBoliRJkiSphkGzJEmSJEk1DJolSZIkSaph0CxJkiRJUg2DZkmSJEmSahg0S5Ik\nSZJUw6BZkiRJkjQgETE1IlZGxO6IOBIRXYNc3mMRsTEi9kfEzxHxTkRc1JB+dkS8EBFbIqI7Ir6P\niMURMabVsgyaJUmSJEkDNRL4ArgfyJNQ3lTgReAa4HrgTOCDiDirSh8PnA/MAS4D7gZuAF5rtaDI\nPBnPI0mSJEn6P4iII8DNmbmy4dxw4GngdmAs8DXwaGaub1OZ5wC/ANMy86Oaa2YAbwAjM/PIiebt\nSLMkSZIkabC9TBkVvg2YArwFrImIC9qU/1jKCPfe41yzv5WAGRxpliRJkiS1Ud+R5oiYCOwAJmbm\nTw3XrQU2ZObcAZYXwCpgdGZ21lxzDvApsDwz57WS/xkDuTlJkiRJko5jCjAM2FoFuL2GA78CRMTF\nwGbKaHEck0M5vygzH2+StgS4FLi2WeERMRpYDXwDLGz15g2aJUmSJEmDaRRwCLgS6Ds1+kD177fA\nJcfJ57e+JyLiJeBGYGpm/tgkfRTwPvAHcEtmHm7t1g2aJUmSJEmD63PKSPO4zPy42QWZeQjY2kqm\nVcB8E9CZmbuapI+mBMw9QFdm/tXqjYNBsyRJkiRpgCJiJNDB0anVkyPiCmBvZm6LiDeB5RHxECWI\nPg+YDnyZmWv6Ud4S4A6gC+iOiHFV0r7MPFiNMK8FRgB3AmMbZobvaWUxMBcCkyRJkiQNSER0Ah9y\n7B7NyzJzVkQMA+YCM4EJlKnWnwDzM3NTP8o70qQsgHsyc3l1P+v6fqz6zKRmI9O1ZRk0S5IkSZLU\nnPs0S5IkSZJUw6BZkiRJkqQaBs2SJEmSJNUwaJYkSZIkqYZBsyRJkiRJNQyaJUmSJEmqYdAsSZIk\nSVINg2ZJkiRJkmoYNEuSJEmSVMOgWZIkSZKkGgbNkiRJkiTVMGiWJEmSJKnG304Z8s3ZZOQZAAAA\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4017eacbe0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(12, 5))\n",
"\n",
"ax = fig.add_subplot(1,1,1)\n",
"ax.set_title('32-y-z-slice: density')\n",
"img = ax.imshow(dens[Nx//2,:,:])\n",
"plt.colorbar(img, orientation='horizontal',fraction=0.2, pad=0.06)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f4017c6e860>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AvKjYH5yzV56zP7hgrzhnf3DOgZxxb/6Ie/NH3J89WpaPri4sAPEDLA9l/wiuGpiGdNVa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\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61g91f7GbOqbweAiXkYXU4qFkRxDqAprCb+siEIWp95Fgp37JRqK5Y+o/IOxrzZYouNLQ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4017d36ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(12, 5))\n",
"\n",
"ax = fig.add_subplot(1,1,1)\n",
"ax.set_title('x-y-150-slice: density')\n",
"img = ax.imshow(dens[:,:,150])\n",
"plt.colorbar(img,fraction=0.046, pad=0.04)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f4017d25b70>]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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fw513+rMhbYr+585qnnJCygLh5YmLOiIZNXDgwKRLiJTypFdIWSC7ee6/H775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\niJmZmVXGgYiZmZlV5j/fpYTpDZ4PFwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4017de9278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.title(\"z-ray through center\")\n",
"plt.xlabel(\"z in index space\")\n",
"plt.ylabel(\"density\")\n",
"plt.grid()\n",
"plt.plot(dens[Nx//2,Nx//2,:])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Powerspectrum around the area z = 150"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from numpy.fft import rfftn, fftshift\n",
"from shellavg import shell_avg_3d"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"time = fl.realscalars['time']\n",
"step = fl.integerscalars['nstep']\n",
"\n",
"c_s = fl.realruntime['sim_cambient']\n",
"rho0 = fl.realruntime['sim_rhoambient']\n",
"\n",
"Vgrid = np.prod(fl.gridsize)\n",
"Vcell = np.prod(fl.cellsize) \n",
"Vdomain = np.prod(fl.domainsize) \n",
"\n",
"# cut out block of 64**3 at round z = 150\n",
"density = fl.data('dens')[:,:,120:120+64]\n",
"velocity = tuple(fl.data('vel'+dim)[:,:,120:120+64] for dim in 'x y z'.split())\n",
"\n",
"ekin = 0.5*Vcell*density * ulz.norm(*velocity)\n",
"fekin = fftshift(np.abs(rfftn(ekin)))\n",
"\n",
"nsamples = None # use default value\n",
"radii,totals = shell_avg_3d(fekin**2, nsamples)\n",
"powerspectrum = radii**2 * totals"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f40161de630>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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OOw4eeCBcWpk8ObQBqa2FLbaATTaB4cPhL3+BJUtif/myp+M8ecp5NqjgEJEm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\nc8BhZmZmbfcnqQSwQZmH5mYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4017c7c978>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.grid()\n",
"plt.title(\"powerspectrum at most turbulent region\")\n",
"plt.xlabel(\"'grid' number k\")\n",
"plt.ylabel(\"energy transfer rate\")\n",
"plt.plot(np.log10(radii), np.log10(powerspectrum))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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