573 lines
543 KiB
Plaintext
Vendored
573 lines
543 KiB
Plaintext
Vendored
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Tutorial: Predicting Lid-driven cavity problem parameters with POD-RBF\n",
|
|
"\n",
|
|
"[](https://colab.research.google.com/github/mathLab/PINA/blob/master/tutorials/tutorial14/tutorial.ipynb)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"In this tutorial we will show how to use the **PINA** library to predict the distributions of velocity and pressure the Lid-driven Cavity problem, a benchmark in Computational Fluid Dynamics. The problem consists of a square cavity with a lid on top moving with tangential velocity (by convention to the right), with the addition of no-slip conditions on the walls of the cavity and null static pressure on the lower left angle. \n",
|
|
"\n",
|
|
"Our goal is to predict the distributions of velocity and pressure of the fluid inside the cavity as the Reynolds number of the inlet fluid varies. To do so we're using a Reduced Order Model (ROM) based on Proper Orthogonal Decomposition (POD). The parametric solution manifold is approximated here with Radial Basis Function (RBF) Interpolation, a common mesh-free interpolation method that doesn't require trainers or solvers as the found radial basis functions are used to interpolate new points."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Let's start with the necessary imports. We're particularly interested in the `PODBlock` and `RBFBlock` classes which will allow us to define the POD-RBF model."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"## routine needed to run the notebook on Google Colab\n",
|
|
"try:\n",
|
|
" import google.colab\n",
|
|
"\n",
|
|
" IN_COLAB = True\n",
|
|
"except:\n",
|
|
" IN_COLAB = False\n",
|
|
"if IN_COLAB:\n",
|
|
" !pip install \"pina-mathlab\" \n",
|
|
"\n",
|
|
"%matplotlib inline\n",
|
|
"\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import torch\n",
|
|
"import pina\n",
|
|
"import warnings\n",
|
|
"\n",
|
|
"from pina.model.block import PODBlock, RBFBlock\n",
|
|
"from pina import LabelTensor\n",
|
|
"\n",
|
|
"warnings.filterwarnings(\"ignore\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"In this tutorial we're gonna use the `LidCavity` class from the [Smithers](https://github.com/mathLab/Smithers) library, which contains a set of parametric solutions of the Lid-driven cavity problem in a square domain. The dataset consists of 300 snapshots of the parameter fields, which in this case are the magnitude of velocity and the pressure, and the corresponding parameter values $u$ and $p$. Each snapshot corresponds to a different value of the tangential velocity $\\mu$ of the lid, which has been sampled uniformly between 0.01 m/s and 1 m/s.\n",
|
|
"\n",
|
|
"Let's start by importing the dataset:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import smithers\n",
|
|
"from smithers.dataset import LidCavity\n",
|
|
"\n",
|
|
"dataset = LidCavity()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Let's plot two the data points and the corresponding solution for both parameters at different snapshots, in order to better visualise the data we're using:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "iVBORw0KGgoAAAANSUhEUgAABIgAAAErCAYAAAC1nLgkAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAUg5JREFUeJzt3Xt8FPW9//F3LiQBNLFcmghy8YIiF6FFiHCsaJsa+/BRG1sV8SjUcqyeKmqpHMWfiva0xbaitMop0lP1tKcWy7FFqxZFRGtLBOVSAa/toULRhCCHpFxMIDu/P3BDNtnb7M7lOzOv5+PBo3UzOzuzO/P+zHy+M7sFlmVZAgAAAAAAQGQV+r0AAAAAAAAA8BcNIgAAAAAAgIijQQQAAAAAABBxNIgAAAAAAAAijgYRAAAAAABAxNEgAgAAAAAAiDgaRAAAAAAAABFHgwgAAAAAACDiaBABAAAAAABEHA0iAAAAAACAiKNBBAAAAAAAEHE0iJCVV199VZMmTVLv3r1VUFCgjRs36pFHHlFBQYH+9re/2Z6fnefeeeedKigoyGkZAQC5I/sBIHrIfiC6aBAho4MHD+riiy/W7t27dd999+kXv/iFhgwZ4vdiJQjCMrqttbVVN998swYMGKCePXuqurpaK1ascPT5e/fu1dy5c3XeeeepT58+Kigo0COPPJL3MuW77ACcF4RcDcIyus207N+yZYsuvvhinXDCCerVq5f69euns846S7/73e9ymg6At4KQq0FYRreZlv1x69ev1wUXXKA+ffqoV69eGjVqlH784x/nPB18YAEZvPnmm5Yk66c//WnC44cOHbIOHDhgxWIx2/N8+OGHLUnW1q1bM047d+5cK9OmmmoZo+TSSy+1iouLrZtuusl68MEHrYkTJ1rFxcXWyy+/7Njzt27dakmyBg8ebJ199tmWJOvhhx/Oe5nyXXYAziP7g8G07H/66aet2tpa684777QWL15sLViwwPrMZz5jSbIefPBB29MB8BbZHwymZb9lWdazzz5rlZSUWNXV1da9995rLV682Lr55put2bNn5zQd/EGDCBm99NJLliRr6dKljs3T6ULhxjJalmXt3bvX0fm5Zc2aNZYk64c//GHHYwcOHLBOPPFEa+LEiY49/6OPPrI++OADy7Is69VXX01bKLKdZ77LDsAdZL/5TMz+ZA4dOmSNGTPGOuWUUxyZDoB7yH7zmZj9zc3NVmVlpXXhhRda7e3tKV872+ngH24xi5D+/fvruuuu6/b46aefrvPPPz/pc7761a9q8uTJkqSLL75YBQUFOvvssyWlvp94x44d+trXvqbKykqVlpZq5MiReuihh7Jaxj/+8Y8aP368ysrKdOKJJ+rBBx/M+Jx0yyhJGzZs0Be+8AWVl5frqKOO0uc+9zm98sor3eYTv+f5jTfe0GWXXaZPfOITOvPMM9O+9gknnKDLL7+82+PnnHNOxzJ54X/+539UVFSkr3/96x2PlZWVacaMGaqvr9f27dsdeX5paamqqqocXaZ8lx1AemQ/2Z/v8+1kfzJFRUUaNGiQ9uzZ48h0ADIj+8n+fJ9vJ/sfffRRNTY26rvf/a4KCwu1b98+xWKxnKeDf4r9XgB44/3339euXbs0ZsyYhMfb29u1ZcsWff7zn0/6vKuvvloDBw7U9773PV1//fUaP368KisrU75OY2OjzjjjDBUUFOi6665T//799fvf/14zZsxQS0uLbrzxxpTP3bRpk84991z1799fd955pw4dOqS5c+emfb1My7hlyxZ95jOfUXl5uf7t3/5NPXr00IMPPqizzz5bL730kqqrq7vN7+KLL9awYcP0ve99T5ZlpXzdvXv36m9/+5v+9V//tdvfXn/9dV122WUpn3vw4EE1NzenXa+4Pn36qLAwfS93w4YNOvnkk1VeXp7w+IQJEyRJGzdu1KBBg1x7fj7zdOO1ARxG9pP9Xmd/3L59+3TgwAE1NzfrySef1O9//3tNmTIl5+kAZI/sJ/u9zv7nn39e5eXl2rFjh+rq6vTOO++od+/euuKKK3TfffeprKzM1nTwkc9XMMEjv//97y1J1po1axIe37x5syXJ+uUvf5nyuatWrUp6GWeyy0VnzJhhHXvssdauXbsSpr300kutiooKa//+/SmfW1dXZ5WVlVnvvfdex2NvvPGGVVRUlPFS01TLWFdXZ5WUlFh//etfOx57//33raOPPto666yzEqaNX9I6derUtK8VV19fb0mynn322YTHt2/fbkmyFi9enHF5s/mXzeW4I0eOtD772c92e3zLli2WJGvRokWOPz/TpabZzjPfZQeQGtlP9jv9/GxvMbv66qs71qWwsNC66KKLrN27d+c8HYDskf1kv9PPz5T9p512mtWrVy+rV69e1syZM63HH3/cmjlzpiXJuvTSS21PB/9wBVFEvP766yosLNSoUaMSHv/zn/8sSRo9enTer2FZlh5//HFdcsklsixLu3bt6vhbbW2tlixZovXr1+uf/umfuj23vb1dzz77rOrq6jR48OCOx0899VTV1tbqmWeesb087e3teu6551RXV6cTTjih4/Fjjz1Wl112mX7605+qpaWlW/f8mmuuyWr+mzdvlqRuozPx9/S0005L+dwxY8Zk/UsD2VzaeeDAAZWWlnZ7PN6FP3DggKvPz2eebrw2gMPIfrLfzeenc+ONN+qiiy7S+++/r1//+tdqb29XW1tbztMByB7ZT/a7+fxk9u7dq/379+uaa67p+DWyL3/5y2pra9ODDz6ob3/72xo2bFjW08E/NIgi4s9//rNOOukk9erVK+HxjRs3qkePHho+fHjer9HU1KQ9e/Zo8eLFWrx4cdJpdu7cmfK5Bw4cSBoIp5xySk6FoqmpSfv379cpp5zS7W+nnnqqYrGYtm/frpEjRyb87fjjj89q/ps2bVJlZWW3S2FTFeXOPvGJT6impiar18lGz5491dra2u3xjz76qOPvbj4/n3m68doADiP7E5H9zj4/neHDh3dsX9OmTdO5556rL37xi1qzZo0KCgpsTwcge2R/IrLf2eenmqckTZ06NeHxyy67TA8++KDq6+s1bNiwrKeDf2gQRcSmTZu6dbwl6dVXX9Upp5yiHj165P0a8S8Yu/zyyzV9+vSk06Trrpsi21DcvHlz0vd048aNOuGEE9S7d++Uz21ra9Pu3buzep3+/furqKgo7TTHHnusduzY0e3xDz74QJI0YMAAV5+fzzzdeG0Ah5H92SP77T/fjosuukhXX3213nnnnaQncHanA5Aa2Z89st/+85MZMGCAtmzZ0q2B9slPflKS9H//93+2poN/aBBFQCwW09tvv60LL7ww4fGdO3fqj3/8oy655BJHXqd///46+uij1d7ebrtL3r9/f/Xs2VPvvvtut7+9/fbbOS9Pr169kj7/rbfeUmFhYV5ffrxp06ZuX6QZi8X0wgsv6Kyzzkr73NWrV+ucc87J6nW2bt2qoUOHpp1m7NixWrVqVbdLZ9esWdPxdzefn8883XhtAGQ/2e9P9qcSv2Uh0xe1ZjsdgOTIfrLfj+wfN26cVqxYoR07diQ0999//31Jhz8fO9PBP/zMfQS0t7fr4MGD2r9/f8djhw4d0tVXX61Dhw45ch+ydPjnab/yla/o8ccf77hPt7Ompqa0z62trdWyZcu0bdu2jsfffPNNPfvsszkvz7nnnqsnnngi4Sc5Gxsb9eijj+rMM8/sdh9ytnbu3KmmpqaOTnvcj3/8Y+3atSvjexq/Fzmbf9nci3zRRRepvb094RLf1tZWPfzww6quru4oiPv379dbb72VcJ+4nefbke083XhtAGQ/2e9P9ie7peTgwYP6+c9/rp49e2rEiBG2pgNgD9lP9vuR/fHG489+9rOEx//zP/9TxcXFOvvss21NB/9wBVEE9OjRQ6eddpp+8pOfqGfPnurZs6eWLl3acUmlU4VCku6++26tWrVK1dXVuuqqqzRixAjt3r1b69ev1/PPP5/28sq77rpLy5cv12c+8xl94xvf0KFDh3T//fdr5MiRev3113Nanu985ztasWKFzjzzTH3jG99QcXGxHnzwQbW2tuoHP/hBrqupTZs2SZKee+45feMb39Dw4cP1yiuvdBS1devWac2aNUl/TlNy/l7k6upqXXzxxZozZ4527typk046Sf/1X/+lv/3tbwkBvHbtWp1zzjmaO3eu7rzzTtvPl6QHHnhAe/bs6ej0/+53v9Pf//53SdLMmTNVUVFha552XhtA9sh+sj/Oy+y/+uqr1dLSorPOOksDBw5UQ0ODfvnLX+qtt97S/PnzddRRR9maDoA9ZD/ZH+dl9n/qU5/S1772NT300EM6dOiQJk+erBdffFFLly7VnDlzOm5by3Y6+MjPn1CDd9avX2+NGzfOKisrs0aOHGktXrzY+tnPfmZJSvh5yWTs/NylZVlWY2Ojde2111qDBg2yevToYVVVVVmf+9znEn7+MdVzX3rpJWvcuHFWSUmJdcIJJ1iLFi3q+BnKXJYxvu61tbXWUUcdZfXq1cs655xzrNWrV3ebLv46TU1NaV/Lsizrvvvus4qKiqynn37aOvHEE62ysjLr85//vLVp0ybrxBNPtI477jhr3bp1GefjpAMHDlg33XSTVVVVZZWWllrjx4+3li9fnjBN/H2aO3duTs+3LMsaMmRI1j/Nme08s50OgD1kP9lvWd5m/69+9SurpqbGqqystIqLi61PfOITVk1NjfXEE08kzC/b6QDYR/aT/Zbl/XF/W1ubdeedd1pDhgyxevToYZ100knWfffd122e2U4HfxRYlmW51XwCwupf/uVf9Ic//EHvvPOO34sCAPAI2Q8A0UP2I0r4DiIgB5s2beL7EQAgYsh+AIgesh9RQoMIsMmyLL3xxhsUCgCIELIfAKKH7EfU0CACbNq6dav27t1LoQCACCH7ASB6yH5ETU4NooULF2ro0KEqKytTdXW11q5dm3LaLVu26Ctf+YqGDh2qgoICLViwIO95An464YQTZFmWLr/8cr8XBfAU2Y8oI/sRVWQ/oozsR9TYbhA99thjmjVrlubOnav169drzJgxqq2t1c6dO5NOv3//fp1wwgm6++67VVVV5cg8AQDeIvsBIHrIfgCIFtu/YlZdXa3x48frgQcekCTFYjENGjRIM2fO1C233JL2uUOHDtWNN96oG2+80bF5AgDcR/YDQPSQ/QAQLcV2Jm5ra9O6des0Z86cjscKCwtVU1Oj+vr6nBYgl3m2traqtbW1479jsZh2796tvn37qqCgIKflAIAgsixL//jHPzRgwAAVFrrztXJkPwCYhewn+wFEixe5L9lsEO3atUvt7e2qrKxMeLyyslJvvfVWTguQyzznzZunu+66K6fXA4Aw2r59u4477jhX5k32A4CZyH4AiBY3c1+y2SAyxZw5czRr1qyO/25ubtbgwYM1cP4tKvtkgU6ratCQXh9Kkk4qa3T89U8uaXB8ngDC75225N/HYMdfPqrUe/v7asfecn3wwSdU/NeYts7/to4++mgHltBs6bJ/4AkHNPColo7sTyefukD+A3BStnUhnv2vN1Sp7R+lZD/ZDyDAcsr+/y3S9rnfcT33bTWI+vXrp6KiIjU2JgZsY2Njyi+ic2OepaWlKi0t7fZ4+dZyfVRcoo27+2p9+SGVlrcmeXan1z56X9LHjzuqOe3z/vDxbI/vvSvtdLk6uYwiBATFOx9ln31bW/ul/fvf91Z0/P9d/+idcrrWllIVthSrYluhev51v7ZKrl5mH4TsbyrupyYpq+yXyH8A+cs2/7fuyz77u+pcC8j+RF2zX5Lrx/7JuFUP4qgLgFlsHfunyX+72X9UU5skd3NfstkgKikp0bhx47Ry5UrV1dVJOnwf8MqVK3XdddfltABOzrPvlja1N5ao9ZhCSSVqKy9JOl3bx5/FLh2tgxWxjsdjHxeXHerT7TnJCs5GDUhZaNLJVIQyHUhk4nahAsIs3/0v27DvrLXlyIFvYcvhWO7R3P3e4pKPo+OoFql0T0yle9pU2LQ3j6XNTtiyX5I+qOj+WcTKD9nK/zi7dSBdDch3++uKegDYl89+mKoGJMt/sj+/eXbPfkmyd+wft6O8e/ZLmRtOkvT3o1PX/WQynQd0xXkB4K1c97lk+Z/p2D+e/VLq/I9nf9GutpyWyy7bt5jNmjVL06dP1+mnn64JEyZowYIF2rdvn6688kpJ0rRp0zRw4EDNmzdP0uEvo3vjjTc6/v+OHTu0ceNGHXXUUTrppJOymme2yv66U4Utlkr79JQktR6TfPUOF5LD2hI+iJKEE4i4gxUxHWzpPq9Y+SHtaOk+ohGXqqikuzIgl4ZTV+lOUOPsFicgjLLZVzJJtz9LiScAcYVd8qS0Uw7FTwRKWpLP7/DJwSGV7D6gwg9b1LbzA3sLnKMwZP/hv338Xm8v/Phk4oi2iu4nFqnyX+o0qJCiDuRSAyRn6kBcum2cOgAclk8tyHS1Z1ed879QR04ISjrtjsnyn+zvrmv2S7kc+3/8WJL8l6SDFenzX3K+Bkje1QGJWgBIudUBO/mfzbG/lDz/y//WppLdBxRrarK9jLmw3SCaMmWKmpqadMcdd6ihoUFjx47V8uXLO75sbtu2bQnfqv3+++/rU5/6VMd/33PPPbrnnns0efJkvfjii1nNMxfpThBK98Q+nqaw24dQ0qJuJw0lH3+A3ZpHzUeKSbLRiM4nFZ0LSTpdi0w2Ixe52PWP3o4WHyCIsjlISyXZgX9n8ULQ9TA03eiwlLox1PG6xxRKKlbJ7iwW0kFByf5MHMt/qaMGJMt/KbcaICXWAbdqgHRk+6cWBE8+J3RONMbDJpdakE0NcDL/yf78pMt+KXn+S7mfA0jqNrhgYh2QqAV+CGNTLui1xW4dSFcD7OZ/5mP/Ykk9VexNf0gFlmVZ3ryUe1paWlRRUaGawd9QYf/+auvTM22DSJJK9xzKbpQ5iWQFpONvWewbqQpJOnaKil1uF54woXjm11QxSaaD+1S6jgB0lawAxJWkOB7IVBi6Kt0T09H/+4+OUeQX9i9Rc3OzysvThFMIJct+KfkAQemeIxmaqT4cnsasGiBRB/xA5ufP9JqRSy3IpQ6kyn8p+xpA9h+WKvuzkU3+H54ueQ1Il/9SdjVAMrMOSNSCzsh/75hQJ+zUgnQ1INV5QLIaYCf7S/ccUvHb2/T8tv9wPfcD+StmTul8wtD9b4f/N/mJRvxvSQ4APv6g0xWQtCPSqWQYqc5HmEuB04XOhAALqlwbMm7JdICfTLrmj5T7CUDnkU04r2vWp8v+I9OkPpFwqgZI5tSBgy3Frp94eM2J/CfzveNnjbBTD3KtA3YHAuCObPL/8HT2zwGk7GqAlOO5gORqHZDCd06QTx0g/83hRX1wqg7k0wgyRWgbRJmvECrumC7TfDpPn/i37uEcLxiZNoS28vQnk92m/7iAZDowySRZQcnlRNlJbp6UmNaUgH1ebJ9296tM+242haBrftAcck7X/M8275PNp+s8Ev+e/AA91S0MncVPHvyoA1I0agH5H15ubat29q1860Dpnhi575CS3QdsXUWUrWQ140g9Sd2gyaYGSPbPBSRn64DUvRb4XQckZ2sBdSA6nNx2s9m/nDgXSKbj+NDHppL/KeCz1mOKsxxNTj9NNgXj8HTZNZDicjmJSHh+l5EJpwpKOnZHNUwoRgguJ7dpO/uZnctC4Y1MJwmdmzz5NIsyzztzHbBT+POtAxK1ANHhxLad7b6WywF8NjWhrTz1vNv69FTZhwEbjvZBPnmfTrp5uXUuIDlTByR/aoFkrx5QC+CUfLZvN+pAqoGBTFccei2Ue2D8JCHTVURx2TaJ0snm+YdfJ7uAzKV4xHXeyPItJEnnn+FyWK+KjZfcupTXZEH+HPPd7r1u/jCK7LxsriLNJrdLdh9I+bfOzahsa8Dhad2vAxK1wGlRrAPZMP1zzmfbd7MW5HqSkC6TkJzd4/xs3+OuAxJOnwscnt65OiC5UwukaNUDaoE9Jn32uWz/TtaBIDSHpBA2iAo/bFGsr/13OpeThc6FIf54utHrVPO3c+tC4vPS3/9sh52N063iEmf7fmwPmBRuYeX2dtXxOi6N+B6ZNrvGdFymL0NO/nPH4fquGCfkkv3Z5H5bn54pTxaSPe5UDTg8fe51QAp+LZDMqgfUAe+5uY25XQvSyeYkId1VRDgiVfZ3rsV2a2Y8xzM1ilL9Peh1QLJ/0urVMZwJNYFa4B83trNcfigmF/k2h0p2H5BXrcnQNYi6snOylk0hSXay0Pm/nSwWnZcp+fPsjUKnk+9BiJPdT6+KjF+cLm5hf7/ScergOZewT/8l96m/u6yzXH4lhVvWnJVtk0jKblTZ6RogeVcHJGf2KepB9rw82Qn7e+lXPcj3FxLt7C8MDuSm6+eS7fuYboAgHVPrwOH5eFcLJOevjghbjpnQ8OoqDO+xE9uvk8fb+eS+H0LfIMpFphMGOycLcbkUC8nebQup52FvA8/ldhe3R7lM35HsCEPw5srr0dB8w92pW0+T7aPcVuY+p28zzvVkQcr+VrVk/KgDR+ZrXj2QwlMTolwPJG9rQj71IPtfvkrfLAraSUJY2bnlLJ/c78rtOiC5VwsOz9vMeiAFd1+Keg3oyovtxa1aYOfuAdOFZ03SsHvLR7acKBr5FIu4fEYdks/PuxOJbAX1MmsvC1ZQ3yO7nOzoezEam21zyIRfLQgjk5pEqXhRB+K8qgeHX4uakA2n6kSY3pNsOH01pdv1IN/9gatHu4vt2i198lhJyX+kIF3++9UkSsWJOiC5VwsOz9vMeiCFM/+cqA1hfF+SMeHcIFXeBHFgIFQNos6FIl9+nizE2f1+i1ScGH3O7nXy2znDeEVFVII5F14d7Lp10J/Nz+rmcuVQ/HsnkhUQThCSy3SS4LRcriLNVa5Xn6bi9IBC+tfKf3sNY13oKup1Iui1IJmu+1FQvpg0jJwaJPYy97tyqnnUmVfnBkdejx/1sCuqtcHtmuBWLXCzOeT17cWhahB15sRJgp0mUfw13ZbpNdwsFHFuXULnxUFilAqLU0xtSrjZ+HGCneZQsi8nlaJ7cOAXu79048Wociom1ALJ/UuqvcofakN6ptYBybsD52x+jEQK120GQZPq2N/JOwn8zP1k3KoFknn1QPI+i6gN3VEPsuNcc8j79zsyVSzX4mDaJaiZuFko4kwsGNkyOdTgTbA7tY+6fZVK1+YQ2272up4k2P2xgqA0idLxohZIue+zJtUFif3LNG7Xglz3WaeuGrV7osD2mb+udSCfbczU3E/Gq1og5feemlYT4tj3/GXKeYHd7A96Y9HMvdEhXtxq0JXpRcPp2xWyEZYTCNjnVyff7X3QjVvLOuPKIee59V10kvm5n4wbtyzYQV2IDj9HdL3cL51uDlEHstf5p+7THfs7uS0GMfeT8bsWxIWxuYREYa0F2Wx/dgcF/M7/SO1RXlxFJAWzaHg5wpAtJ4OE4mGPSZdoJmPy/uV2c6h0zyGj199PnU8SkqFJlB0nRtPc4kY2UR+6M70GSGbVAX6pMprClPvJZLtuftWDODfzKqr1IQg1IM7PfdDtL6X26wq2UG716U4S3DxB6CxsRcPOuvhdKJIJUtBFnen7TbrtO8jfzxU2XnwXRVdu5n7hh8k7h+kaYm4Kek3ojPpgFlNrgBPbcS4nCvH8Zzs1k1u5nyrzM/GjJoSpHnTFfucPk+qAnW02LAMDoWwQdebUbWZ2ryKSwtckypbJo8/wTxj2hVyaQ04WCw5UvJFL3sd5nfvpTiL8ah51FZRRaLgryDXAbvbnm/t+314QdF5/xYQbuR/rW55TkyjZc0ypBVK4m0nILMh1oCs3bi2TzMj/0DeIkvHqKiLJnaIRD387xcOk4iDlFhAUCvOEKegzcfPKIROKQZR0bv64UQtMGRwIQvOoM+pCsJiwjXvB66tGO9eDrlePRuU9DyKTmkRdZZqHifVAym97pza4Lwp5lGo78uK2Yj+vHo1kg8hrTheNeMGwUzSymdbUAhEXlF+fCoqwBLsXTdJctxknikWq28ucOGgMu2xGkZMNGDhRjN3KfaeEoSZI7uRYWGtEWDK/Mzv7RC7bs9dXjaYaLOicSWS/uUxuEqUTlnrQmZt5F6QaEcbc78zNGuBnc6grrz/HyDaIvLyKSDJnRDmdMBaIZEz/HHCECQfCufxiGYKlcz0w+VduvDhR6CxoVyA5hRphBie3daebQ0AqQW0SZRLUq5DcQI3whp81wK/8T3dHQeGHLfLqG0kjcWbjx8/dJ+Nk0fCrWFAg4CS/D3gyyac55PTVQ3z/kLvcen+D3iRKJai3N8MMJmzD6eSa/W5cPYTsdP2BGj+P/cPaJEonKoPMyJ/X27GTzSE7Vw/l89P2fv84TSQaRKl4fRWRFI4mUTqcNEAy7+DfjdFjv64cYuQqvUw/de+HsDaJskFNiJagbJfp+JH9yZpDfp8gwDxByv5k3L4lFP4yddu0c1zoxy8VS9ndXuylSDeIpCNvfFBvEwlqsaBIBE8QtzMpuLcWcHLgDFOuIHVaULM/lVzWhdrgvjBsY3a2E7ebQyUtR0aVs71iiKtHg8mtr5YIW/ankus6UhecEaZtzPTmkIlCu7Z2R5GD/MtmYS8WFAlnhXlb6cqt5pDXhYIThOCL4i0Hbst33aNQI6K8fXj9nRPZ3l6WTWMo2QABV4/a5/cAAU0i7/n93WV+YpvozonmUDrpcr/zgEA6XWuCCQPEoW0Q5SJdk8jpEzSaRO7z8/3IFEh8Vu4L6pVDUvbFIdb0octLAifRJDIL7xvsiNoIMswWP8Yhx9zDextcJlw5avc7iLryc3A4MtUu21GEII/Uc6JgDj4Hf7nZHOIkAaYh+4Ejgjw4IGX34wQMDiSX7O6BsF5FFEf+A4mcbA6lk+mq0WyuIMrmitLO+RHbtTubRctb/j+zg5y5UbCCdjkk4LQwnRx0xS0GuTHpfXNrWyP7gfDcVozs0Swj/4E4p/cFt7K/pMXsHyegQeQzmkSAc9xuDvlxkpBsBJnRwvSi+v7E+paT/4isoA8OSKlPDkxqcsM+L7Yzsh9R5/T3zjlxzN+1CZSqMSRld/WoV0I3JBJr+lCF/fv6vRi+45JTRE0YDo5MGTkIokzZ7/dtBp1xywHgrKjcVsx+nRuT8t9NZD+8YOeqPa/Oyb3+UQI7sv3FSpOYU/U8YGqB4FcOgPzk2hxyMw9K98Sy/lUbGkNwGvmPXOR7u44fA3RhuHJI6l4H/B5BRjCR/cgkbLdlmtwcypZp5wGhbhDZ/an7MKJQIM6LguD1yUE++7fdApHLKHI2TaJ0RYEThPBy+yoiifwPOxMP8uPLZOqoMeAXLzI/juwPPhPzPRdu3tkThStH45nh9f5sxtrD1cIRpkIRlsAMKy9v8fSyOZSPdE0iOyMGfAcFoorcDx4vaoEXV456dZJg2uhxGJl6F4FbwnLsT/4jmbBcOSqZefVo5BpEUSsQcUEqFBQDZBK0UeNcDv5NKBBhY1r+cxVRd+Q/smHibcW5SlYfOuc/gwP2cPdAsFEDwsWNgQK3929Trh7yE79iZhC3D1xML5ixpg8pDAHnxdVD+W7HJp4gAG4yPfvjyP/wcPOWAlObQ7kNBHDlENwTlOyPowaEi0nNIY797aFBFDGmFguKQvCFuTnEaELwBOmqGS+Ymv1x1IBwKOzf16jvm8hHrt8758a0CAc/TlJNz/44akB4uFUHwtgcSlcH/Lx6NJINoqhfrhuUYoHgCEJzKEi4vcw9Uc5/k/chP379Cs5y8zMM0pWj2TR++HECf/id/369vsnZH0cNCIegDxDYGRjIt8mf6fZiP0WyQWQyrw5iTCsWFIbgCkpzyOQRhEz8PqhFeJiW/Qg+N68akoLVHIrr/qWjsYR/gNeCkP2cCwSXqVePmnrsb3odyKlBtHDhQg0dOlRlZWWqrq7W2rVr006/dOlSDR8+XGVlZRo9erSeeeaZhL/v3btX1113nY477jj17NlTI0aM0KJFi3JZNNhgWrGgMARPUJpDQZJp9MDPW6fIfudxy8ER1IDgMfWXykyQS0PIlNHjrsKU/X4OuPh9shrk/QnmMvE75yRv9jcnv3vOpPy33SB67LHHNGvWLM2dO1fr16/XmDFjVFtbq507dyadfvXq1Zo6dapmzJihDRs2qK6uTnV1ddq8eXPHNLNmzdLy5cv13//933rzzTd144036rrrrtOTTz6Z+5p9LNXJFCPyh5lWLDhBCAa3R4zjnNo+/T4oC4OgZX865L952R9HDQgGL2pA1K8clRKzyq/BgTBlf1yUa4Cp2R9HDQgOU68aMpnpVw7FFViWZdl5QnV1tcaPH68HHnhAkhSLxTRo0CDNnDlTt9xyS7fpp0yZon379umpp57qeOyMM87Q2LFjO0YLRo0apSlTpuj222/vmGbcuHH6whe+oO985zsZl6mlpUUVFRX6bK9LVVxQ0m1jTbWRmXrg4EfhMu0LXfmyOnN5VbydLA5O7OtefVF1shGEVCcJsaYPdchq0wv7l6i5uVnl5e4V1DBlv2RW/vv6RYSGZX8cNcBcURkc8OPHCbrmP9mfXKbslzJvQ37UAJMaU6Zmf2fUATOFeXAgn9xvPSb9dTeZmkOd8z9V9rft/MCT3Ld1BVFbW5vWrVunmpqaIzMoLFRNTY3q6+uTPqe+vj5hekmqra1NmH7SpEl68skntWPHDlmWpVWrVumdd97Rueeem3Sera2tamlpSfiH/JjWqWUEwTxeXTUkmdcc8opJl5d2FsbsN+lA3U+mZX8cNcA8XDnqLhPzP4zZH0cNMB91wCxcOZpesluKs73V2LT8t9Ug2rVrl9rb21VZWZnweGVlpRoaGpI+p6GhIeP0999/v0aMGKHjjjtOJSUlOu+887Rw4UKdddZZSec5b948VVRUdPwbNGiQndVAQFAYzOBlY0gy94TVLyYcxJL98IPX2YPkgjo4gPyR/eEVlH2NGuC/oA0O+C0MP0hgxK+Y3X///XrllVf05JNPat26dZo/f76uvfZaPf/880mnnzNnjpqbmzv+bd++PafXNeHEyyQm7picIPjHj/fe6W0wSCPIpo0eeMHt7M90Cb0JNcCEZTAx+zujBvgjyIMDQcp+KXr579dxf1de5q8JWd+V6dkfx7mAP4I4OBC07JfMzH9bN9r169dPRUVFamxsTHi8sbFRVVVVSZ9TVVWVdvoDBw7o1ltv1W9/+1udf/75kqTTTjtNGzdu1D333NPtMlVJKi0tVWlpqZ1FR5ZifcuNvC85HlDcj+wNPwpxUA5U3JBLcfByXyD7w8/U7I+jBniH/DdDqoYC2Q8nmZ79nRX270sN8EDQB4fDystt39YVRCUlJRo3bpxWrlzZ8VgsFtPKlSs1ceLEpM+ZOHFiwvSStGLFio7pDx48qIMHD6qwMHFRioqKFIu5f2mWiR19v5m8ozKC4C6/Rmnc2OacHkVwq8Nv4shBV2HM/jhqwBEmZ38cI8nuCUv+O5X9XmWzyTUgzNkf50UNML3OBCH746gB7gn6nQNBvHooGRPywvZXdc+aNUvTp0/X6aefrgkTJmjBggXat2+frrzySknStGnTNHDgQM2bN0+SdMMNN2jy5MmaP3++zj//fC1ZskSvvfaaFi9eLEkqLy/X5MmTNXv2bPXs2VNDhgzRSy+9pJ///Oe69957HVnJwg9bAhV+JjB5RIGRZOf5WWzZN1PrWiT83CeDmP2wz+Ts74yRZOeQ//7JtjlE9rurZPeB0JxcRgXnAs7xqwZEPf8lcwcIbDeIpkyZoqamJt1xxx1qaGjQ2LFjtXz58o4vpNu2bVvCqMCkSZP06KOP6rbbbtOtt96qYcOGadmyZRo1alTHNEuWLNGcOXP0z//8z9q9e7eGDBmi7373u7rmmmscWMXMKAzJmX6iQHHIn9+jMEErDqV7Djn608emFoZkwpj9cX7VABNGiYKMGpAf8h/ZCEL2x5o+zHt7dqsOBCXnTT/mT4U6kDsGB/yVzTmAX/tkgWVZli+v7KCWlhZVVFTos70uVXFBSdINPtOGaFKDyKRiEqRiQXHIjt8nBXFuFwc392knmkTZFIZ0VxDFt/dDVpte2L9Ezc3NKi+PVsF1IvvjaBAlClL2x1EDsmNCDXAr/93Yj50cFOgsXQ0g+9Prmv1S8u06l+3MyW3I5IxPJYjZ3xl1IL2w5r+T+61bmd9VqhrQOTe6Zr9Xue/NOxAAXEWUXJBGFBhFSM+EohAX5OaQdCTUcyki2V41FMQDS7/lM4rsdQ0w/fMNUvbHdf7sqQOJopT/TnP6ytH4PGGmeDbnWw9Mz/iw4lwgOVNqQNDy3y3ZNIf8RIPIMKZsGJ0F7USB4nCEKQWhszAVB7snDpwUeM/Od9B51SQyMeeTCVr2d0YdOMy0GhDU/HejSQSz5dooCkq+pxLk3O+MAQPyP1du530QzgVCWe1yHUXmKqLUglgwolwcTCsKcUEpDnZ0Dfp4UQlCAUB31IFwiWIdIP/d4cRJQy63FsNfnT+PZLUhjJ9XEI/504nSgEEU89+NY7aoDwpEd81T8PPkIIxFxhRROEkwtSjEBf3kIFtONIbIAn9F/ctKOwvTiUKY6wD57833iOVz0sCgQfAFMcNxRFhrAPkfHEGpAzSIkvCjSRSEohOWE4WwFAjTC0JnFIf8hWHfCxKnvoei6/yCKCzZ31nQ6wD57x+730EXlBOCMLJzizEShTH3O+uaoUGqA+S/N7z+5WKTjhMj0yCyWyS8bBKZtEFkEraCEaQCEaSC0FmQiwOQb6MoSPkeVUGoA+S/edxo/CTLizAdcyFYwnbMn46pdSCo2S+FI/+9urXYNJFpEOWC76KIHlMKRJALQmdhKA5eo6FgpkzfQ5Fq2rCI8omC5F0tCEv2S+Q/gOBKlcVu1YIwZb8Urvz34peLk/HzmIsGUQZuNomCehIR9ROFOCeKRNgKQmdhKg4INqdvMwhqdiN3mbI623oQ5szvjPwHwiFKx/zZiEqG5yOs+Z9toyiXppBpx5U0iLLgRpPItA3BLgoGRQJAtJD7qVEPjgjryYHbgn5cCABRyP8g3jJmV6HfCxAUJbsPOFK8nZoPYLIoFAggiti3kQ7bB0xDUzt/7NfIBttJeETqCiInbjOw8z0UyZ4TJowmIxkKRO5SZQX7GQDTkf0AEE3kf+5M7BNEqkHkNBM/UK/RJEJnFIjckScICnIfJgryD4swOADTkftIhWP/8OEWMwCOMKlA0GxBVxzYAu4xKf8BAN4g+/Nj6uAADSLkjXAA20B+aGghaNjnEce2kB/y331+n2wBQJBErkFEkQCigYNuAHCXac0hch9wj2n7O/zF9pAfO/Uq1vShi0vSXeQaRHAHIRFdfPb5yeWExutCERYMEADOIfvzZzf/yX4AJjAp/xkYcB4NIgA5M6lAJGN60TB9+YB0TN//EU1BydWgLCcAdEbtz5/p+U+DCI4hMKIlKJ+36SGcCVe9ADBNUPI/yMh+ezJdXcX7CYRX0I/1TUODCAB8QDFDGNAoiJ4gfOam56vpywekEoT9H+7h889fpvw3oZkdyQaRCW88EGRBKxCmHYybtjxhwigyAMncnDV1uQAgHdOP/YOQrUFYRimiDSK4x/TwQHSZEsqmLAcA2BW0Gm9a3pq2PFHDAAEQbmSsM0LbIOKXHgB3BO0EobOS3Qd8LR52X5uDWQDIjyknDKYsBwDYFaRjf1Oz1tTlSia0DaJMOPEC7AtSgUjH65D2uzEFAPkKcv77nb8MDgAIqiBmv9+Z35Vpy5NJZBtEcE8QgwTR40XThsaQmTj5chaZH35h+Iz9ymJqgFnIfyAaTMleO8thSj4V+70AAOCnzsHd1qen4/MEAJjBjbzP5rUAIIiCPjhQsvuA61mf7rWDKtINosIPWwK/4QNeicK+0jXMsy0qbhQBU0YRwor8B7IT1v0knttOnzwE+aQgKsh/IDrcyvpsXjOoIt0gAoB0gh7wAID0nLiqyMlaweAAABOErYnqRaMon1pgUvbTIAKQUdiKBCAxiuwUkw5qgHwwKBBssaYPVdi/b1bTkv9ANDl9q3EY60bkG0QUCACm4YQbgAk4PjJHrOlDvxcB4PgEoZKsuZOpaeR1Q8iP7I98gwgAgoSThMwYRQYQRJx8e4v8B5KL8n7hxxVBpmU/P3Mv8z4UAAAAAO7iHCB7vFdANIS6QcRIO5C/KI8i+IEDMO/xnueO9w4AACA8Qt0gsoODXOfwXgIAAGSPYyf/8N5nxnsEuMPEfYsGEQAg8kws0KbjPQMQFuRZarw3QLTQIOqEAASA6KIGAEB0UQO64z0BoienBtHChQs1dOhQlZWVqbq6WmvXrk07/dKlSzV8+HCVlZVp9OjReuaZZ7pN8+abb+qCCy5QRUWFevfurfHjx2vbtm25LF5eCML88P4BuTN9/wlz9seZ/hmYgvcJcI7p+1MUsj/O9M/CS7wXgLtM3cdsN4gee+wxzZo1S3PnztX69es1ZswY1dbWaufOnUmnX716taZOnaoZM2Zow4YNqqurU11dnTZv3twxzV//+ledeeaZGj58uF588UW9/vrruv3221VWVpb7muXB1A/LdLxvQO5M33+ikP1xpn8WfuP9AaIjaNnvxA/UkHG8B0CUFViWZdl5QnV1tcaPH68HHnhAkhSLxTRo0CDNnDlTt9xyS7fpp0yZon379umpp57qeOyMM87Q2LFjtWjRIknSpZdeqh49eugXv/hFTivR0tKiiooKfbbXpSouKEn4W2H/vjnNk19uso9iEk7sC97IZv9JduB7yGrTC/uXqLm5WeXl7n1WUcn+ztj2uyPno4V9wH1kv33psl9yJv+l6G7/5Dyiuu17KZfs9yr3bV1B1NbWpnXr1qmmpubIDAoLVVNTo/r6+qTPqa+vT5hekmprazumj8Vievrpp3XyySertrZWn/zkJ1VdXa1ly5bZXBVnEY728H6FF5+t+0x/j4OY/YwiO4/3A4iWIGa/kwo/bIlU7kVtfQEkZ6tBtGvXLrW3t6uysjLh8crKSjU0NCR9TkNDQ9rpd+7cqb179+ruu+/Weeedp+eee04XXnihvvzlL+ull15KOs/W1la1tLQk/Esln5MEQjI7vE9AuAUx+51Cvh3G+wA4z/T9KsrZ31kUGidhXz/Yw/bgLtPf32K/FyAWi0mSvvSlL+mb3/ymJGns2LFavXq1Fi1apMmTJ3d7zrx583TXXXd5snyFH7ZwmV0apm/ggOmiug+Znv2dRbkORHX7xGFR3vbdFtV9K0jZ31UY94eobocAUrN1BVG/fv1UVFSkxsbGhMcbGxtVVVWV9DlVVVVpp+/Xr5+Ki4s1YsSIhGlOPfXUlL9mMGfOHDU3N3f82759u53VsC0KIwe54D2JDj7raItq9ncWtToQtfUF0B3Z3108G4Ocj2FYB7iP7cMdQXhfbTWISkpKNG7cOK1cubLjsVgsppUrV2rixIlJnzNx4sSE6SVpxYoVHdOXlJRo/PjxevvttxOmeeeddzRkyJCk8ywtLVV5eXnCPy8E4QP1AkUlmvjMnReU9zTq2d9Z2PMv7OsH+9genBeU95TsTy9IeUlTCEC2bN9iNmvWLE2fPl2nn366JkyYoAULFmjfvn268sorJUnTpk3TwIEDNW/ePEnSDTfcoMmTJ2v+/Pk6//zztWTJEr322mtavHhxxzxnz56tKVOm6KyzztI555yj5cuX63e/+51efPFFZ9bSQWG8vNQOCgvgjKDtS1HP/q7in19Y6kHQtkd4K+rHPlEWxOyPNX3o2C+ZZaNrfpqyr5DryBfZ76yg7JO2G0RTpkxRU1OT7rjjDjU0NGjs2LFavnx5xxfSbdu2TYWFRy5MmjRpkh599FHddtttuvXWWzVs2DAtW7ZMo0aN6pjmwgsv1KJFizRv3jxdf/31OuWUU/T444/rzDPPdGAVnRe2E4NsBGWDhrsoFM4I4v4UxOz34iQh6PUgiNsiEGR29zknfpExH0HMfr/50TAiy+EWjv2dEaTsL7Asy/Lt1R3S0tKiiooKfbbXpSouKOn2d7dPEMK601BskEpYt3kv5LpfpSoUh6w2vbB/iZqbm4257N4rmbJfcj//kzF5/yDXkQ+Tt+0gyGX/I/u7MzX7nRLrW05Wwyhkf36cyn6vct/3XzHzgtujyJ0/9DDsQBQlZMJoQm7Yt6LBpNsN2ObgJLI/d+yLyBbbCkxD9ucuiPtzJBpEXgrq7QZB3HjhL4oFkJ1U+erk/kOGwytBPc7xE/sngKAj++0LavbTIHKJSSPIqQR1o4U5aBJlh30NybBdIMjI/+ywnwMIE7I/O0HOfhpEHkm2kXi1cwV5A4X5GFFIj/0PQFhxopAa2Q8grMj+9IKe/zSIfJTNxpNp5wv6BojwoFGUiH0TQBSQ/d2R//7z+qfugagh+5NzIv/9/vVKGkSG4yADQUPBcH6/9btQBBknCYA3yP7DnMx/sh+A6cj+w8J0zh6ZBhEnCYC3olgwwlQcACAXZD8ARE8Us18KZ/5HpkEEwB9RKBhhLA4AkI8oZL9E/gNAZ2R/8NEgAuCJzkEahqIR5sIAAE4JW/ZL5H9QcPcA4J+wNoqikP80iAB4LqgnDFEoCgDglqBmv0T+A0Augpz7cVHLfxpEAHzVNXRNKh5RKwhhxSgyYB6Ts1/yP//5gmoAYWN67nfmVw0wIfsj1SDiJAEwX7pAdquQ+H0ikI4JhQIA3JYqh704gTC5BgBAWCXLXr+aRtSBIyLVIAIQbIQ3AEQLuY98MDgMBItbA8XUkuzRIAIAhB4nCQAAAMFFk8cbhX4vAAAAAAAAQFSZ8rUSkWsQmfLGA0Am5BUARA/Z7yzeTwDIXuQaRACAaOIkAQAAAEiNBhEAAAAAAIAPTBrEjGSDyKQPAACSIacAIHrIfnfwvgJAdiLZIAIARBMnCQAAAEByNIgAAAAAAAA8ZtrgZWQbRKZ9EAAQRz4BQPSQ/e7i/QWAzCLbIAIARBMnCQAAAEB3kW4QcZIAAAAARAPH/gBMYmImRbpBBACmMbFQhBHvMwCTkEne4b0GgNQi3yCiSAAAAAAAgKiLfIMIABBNDBAAMAFZ5D3ecwB+MzWHaBDJ3A8HQLSQRd7jPQcAAAAOo0EEAAagUQEA0UP2+4f3HoBfTM4fGkQfM/lDAgC4h/wHgGgi/wF4zfTcoUHUiekfFoBwInsAIHrIfgCAaWgQAQAijxM1AIgm8h+AV4KQNzSIugjChwYgPMgcc/BZAPAKeWMWPg8AOIwGURIUCQBeIGvMw2cCwG3kjJn4XAC4KSgZQ4MohaB8gAAAZ5H/ANxCvpiNzweAG4KULTk1iBYuXKihQ4eqrKxM1dXVWrt2bdrply5dquHDh6usrEyjR4/WM888k3Laa665RgUFBVqwYEEui+aoIH2QAIIliPkSleyXgvn5AIAbopT9EvkPwFlByxTbDaLHHntMs2bN0ty5c7V+/XqNGTNGtbW12rlzZ9LpV69eralTp2rGjBnasGGD6urqVFdXp82bN3eb9re//a1eeeUVDRgwwP6auCRoHygA8wUxV6KW/VIwPycA5gpipkQx+6XDn1UQPy8AZglijthuEN1777266qqrdOWVV2rEiBFatGiRevXqpYceeijp9D/60Y903nnnafbs2Tr11FP17//+7/r0pz+tBx54IGG6HTt2aObMmfrlL3+pHj165LY2LgniBwvATEHNkyhmvxTczwuAWYKaJVHN/rigfm4AkCtbDaK2tjatW7dONTU1R2ZQWKiamhrV19cnfU59fX3C9JJUW1ubMH0sFtMVV1yh2bNna+TIkXYWyTMUCAD5CmqORDn7peB+bgDMENQMiXr2xwX18wPgr6BmR7GdiXft2qX29nZVVlYmPF5ZWam33nor6XMaGhqSTt/Q0NDx39///vdVXFys66+/PqvlaG1tVWtra8d/t7S0ZLsKeYk1fajC/n09eS0A4RLUIiGR/dKRz48aAMAOsj/Y2R9HDQBgR5Cz3/dfMVu3bp1+9KMf6ZFHHlFBQUFWz5k3b54qKio6/g0aNMjlpTwiyB82AH+QG90FLfvj+CwBZIu86C6o2R/HZwognTB8f5mtBlG/fv1UVFSkxsbGhMcbGxtVVVWV9DlVVVVpp3/55Ze1c+dODR48WMXFxSouLtZ7772nb33rWxo6dGjSec6ZM0fNzc0d/7Zv325nNfIWhg8egDfCkBVkfyJqAIB0wpIRZH9yYfl8ATgrLLlgq0FUUlKicePGaeXKlR2PxWIxrVy5UhMnTkz6nIkTJyZML0krVqzomP6KK67Q66+/ro0bN3b8GzBggGbPnq1nn3026TxLS0tVXl6e8M8PYdkIALgjLBlB9icXls8XgHPClAtkf3ph+qwB5CdMeWDrO4gkadasWZo+fbpOP/10TZgwQQsWLNC+fft05ZVXSpKmTZumgQMHat68eZKkG264QZMnT9b8+fN1/vnna8mSJXrttde0ePFiSVLfvn3Vt2/i/bw9evRQVVWVTjnllHzXz3XckwygqzAViTiyPzlqAIA4sj862R9HDQAQtuy33SCaMmWKmpqadMcdd6ihoUFjx47V8uXLO76Qbtu2bSosPHJh0qRJk/Too4/qtttu06233qphw4Zp2bJlGjVqlHNrYQC+wBqAFL4iEUf2p8dJAhBdYc19iezPFjUAiJ6wZn+BZVmW3wuRr5aWFlVUVOizvS5VcUGJ34tDcQAiyK8icchq0wv7l6i5udmYy+69Ylr2x1EDgOgg+71navZ3Rh0Aws2P7Pcq921fQYTMGEUAoiWsIwjIDTUACD9yH+lQB4BwikL20yByEcUBCLcoFAnkjhoAhBPZj2xRB4BwiFLu0yDyAMUBCJ8oFQrkhxoAhAO5j1xRB4Dgilr20yDyEMUBCL6oFQk4hxoABBO5D6dQB4DgiGr20yDyAcUBCJ6oFgk4r/O2RB0AzEXuwy2cCwDminr20yDyEcUBMF/UiwTcRR0AzEPuwysMGADmIPsPo0FkAE4QAPNQJOAl6gDgP3IffqIOAP4g+xPRIDIIhQHwH0UCfqIOAN4j92ESrioC3Efup0aDyEAUBsB7FAqYhDoAuI/ch+kYNACcRe5nRoPIcBQGwD0UCQQBzSLAWWQ/goY6AOSH3M8eDaKAoDAAzqFIIKgYNAByQ+4jLDgnALJD7ueGBlEAcYIA5IZCgbDgBAHIDrmPMKMWAN2R+/mhQRRgFAUgM4oEwo5aACQi9xFF1AJEGbnvHBpEIUFRABJRKBBF1AJEFZkPHEEtQBSQ++6gQRRC3IKGqKJQAEdwgoAoIPeB9KgFCBty3100iEKMgoAooEgAmVEPECbkPpAbagGCitz3Dg2iiKAgIEwoEkDuqAcIInIfcFbXfYp6AJOQ+f6hQRRBFAQEEYUCcB7NIpiM3Ae8Qz2A38h8M9AgAgUBxqJQAN5h8AB+I/MBM1AP4BVy3zw0iJCAZhH8RqEAzEA9gBfIfMB8NIzgFDLffDSIkBLFAF6hWABmox7ASWQ+EGzUBNhB5gcLDSJkjdFkOIVCAQQbJwewg8wHwo2agM7I/GCjQYScUAhgB4UCCDdqAjoj84FooyZEC5kfLjSI4AgKAbqiWADRRU2IFvIeQDrUhPAg78OPBhFcQSGIHgoGgFSoCeFB1gPIV7IcoS6Yh7yPJhpE8AQnB+FCwQCQD04OgoO8B+AF6oK/yHrE0SCCL2gYBQtFA4DbODnwH1kPwCTUBXeQ9UiHBhGMQAEwB0UDgCmoDe4h6wEEUbrsoj4cQcYjVzSIYCxODNxH8QAQNKlyi/qQHDkPICqiVh/Id7iBBhEChaZR7igiAMIsaicGnZHvAJBaNhlpWq0g1+EXGkQIvCifFCRDQQGAIzJlYhBqBbkOAO4iZ4HDaBAhtMJ8jzJFDACckUue5lpDyG4AAGAyGkSIJJMvNeUEAgDMRk4DAIAwokEEpMAJAAAAAAAgKgr9XgAAAAAAAAD4iwYRAAAAAABAxOXUIFq4cKGGDh2qsrIyVVdXa+3atWmnX7p0qYYPH66ysjKNHj1azzzzTMffDh48qJtvvlmjR49W7969NWDAAE2bNk3vv/9+LosGAHAJ2Q8A0UP2A0B02G4QPfbYY5o1a5bmzp2r9evXa8yYMaqtrdXOnTuTTr969WpNnTpVM2bM0IYNG1RXV6e6ujpt3rxZkrR//36tX79et99+u9avX6/f/OY3evvtt3XBBRfkt2YAAMeQ/QAQPWQ/AERLgWVZlp0nVFdXa/z48XrggQckSbFYTIMGDdLMmTN1yy23dJt+ypQp2rdvn5566qmOx8444wyNHTtWixYtSvoar776qiZMmKD33ntPgwcPzrhMLS0tqqio0Gd7XarighI7qwMAgXbIatML+5eoublZ5eXlrr0O2Q8A5iD7yX4A0eJV7tu6gqitrU3r1q1TTU3NkRkUFqqmpkb19fVJn1NfX58wvSTV1tamnF6SmpubVVBQoGOOOSbp31tbW9XS0pLwDwDgDrIfAKKH7AeA6LHVINq1a5fa29tVWVmZ8HhlZaUaGhqSPqehocHW9B999JFuvvlmTZ06NWVnbN68eaqoqOj4N2jQIDurAQCwgewHgOgh+wEgeoz6FbODBw/qkksukWVZ+slPfpJyujlz5qi5ubnj3/bt2z1cSgCAk8h+AIgesh8AzFNsZ+J+/fqpqKhIjY2NCY83Njaqqqoq6XOqqqqymj5eJN577z298MILae+rKy0tVWlpqZ1FBwDkiOwHgOgh+wEgemxdQVRSUqJx48Zp5cqVHY/FYjGtXLlSEydOTPqciRMnJkwvSStWrEiYPl4k3n33XT3//PPq27evncUCALiI7AeA6CH7ASB6bF1BJEmzZs3S9OnTdfrpp2vChAlasGCB9u3bpyuvvFKSNG3aNA0cOFDz5s2TJN1www2aPHmy5s+fr/PPP19LlizRa6+9psWLF0s6XCQuuugirV+/Xk899ZTa29s77lPu06ePSkr4dQIA8BvZDwDRQ/YDQLTYbhBNmTJFTU1NuuOOO9TQ0KCxY8dq+fLlHV9It23bNhUWHrkwadKkSXr00Ud122236dZbb9WwYcO0bNkyjRo1SpK0Y8cOPfnkk5KksWPHJrzWqlWrdPbZZ+e4agAAp5D9ABA9ZD8AREuBZVmW3wuRr5aWFlVUVOizvS5VcQEjDwCi45DVphf2L1Fzc3Pa73AII7IfQFSR/WQ/gGjxKveN+hUzAAAAAAAAeI8GEQAAAAAAQMTRIAIAAAAAAIg4GkQAAAAAAAARR4MIAAAAAAAg4mgQAQAAAAAARBwNIgAAAAAAgIijQQQAAAAAABBxNIgAAAAAAAAijgYRAAAAAABAxNEgAgAAAAAAiDgaRAAAAAAAABFHgwgAAAAAACDiaBABAAAAAABEHA0iAAAAAACAiKNBBAAAAAAAEHE0iAAAAAAAACKOBhEAAAAAAEDE0SACAAAAAACIOBpEAAAAAAAAEUeDCAAAAAAAIOJoEAEAAAAAAEQcDSIAAAAAAICIo0EEAAAAAAAQcTSIAAAAAAAAIo4GEQAAAAAAQMTRIAIAAAAAAIg4GkQAAAAAAAARR4MIAAAAAAAg4mgQAQAAAAAARBwNIgAAAAAAgIijQQQAAAAAABBxNIgAAAAAAAAijgYRAAAAAABAxNEgAgAAAAAAiLicGkQLFy7U0KFDVVZWpurqaq1duzbt9EuXLtXw4cNVVlam0aNH65lnnkn4u2VZuuOOO3TssceqZ8+eqqmp0bvvvpvLogEAXEL2A0D0kP0AEB22G0SPPfaYZs2apblz52r9+vUaM2aMamtrtXPnzqTTr169WlOnTtWMGTO0YcMG1dXVqa6uTps3b+6Y5gc/+IF+/OMfa9GiRVqzZo169+6t2tpaffTRR7mvGQDAMWQ/AEQP2Q8A0VJgWZZl5wnV1dUaP368HnjgAUlSLBbToEGDNHPmTN1yyy3dpp8yZYr27dunp556quOxM844Q2PHjtWiRYtkWZYGDBigb33rW7rpppskSc3NzaqsrNQjjzyiSy+9NOMytbS0qKKiQp/tdamKC0rsrA4ABNohq00v7F+i5uZmlZeXu/Y6ZD8AmIPsJ/sBRItXuV9sZ+K2tjatW7dOc+bM6XissLBQNTU1qq+vT/qc+vp6zZo1K+Gx2tpaLVu2TJK0detWNTQ0qKampuPvFRUVqq6uVn19fdJC0draqtbW1o7/bm5uliQdsg7aWR0ACLx47tns9dtC9gOAWch+sh9AtHiR+5LNBtGuXbvU3t6uysrKhMcrKyv11ltvJX1OQ0ND0ukbGho6/h5/LNU0Xc2bN0933XVXt8f/cODx7FYEAELmww8/VEVFhSvzJvsBwExkPwBEi5u5L9lsEJlizpw5CaMTe/bs0ZAhQ7Rt2zZX3yxTtbS0aNCgQdq+fburl5uZivVn/aO8/s3NzRo8eLD69Onj96K4juxPFPVtn/Vn/aO8/mQ/2R/VbZ/1Z/2juv5e5b6tBlG/fv1UVFSkxsbGhMcbGxtVVVWV9DlVVVVpp4//b2Njo4499tiEacaOHZt0nqWlpSotLe32eEVFReQ2lM7Ky8tZf9bf78XwTdTXv7Awpx+lzArZb7aob/usP+sf5fUn+6P72Ud922f9Wf+orr+buS/Z/BWzkpISjRs3TitXrux4LBaLaeXKlZo4cWLS50ycODFheklasWJFx/THH3+8qqqqEqZpaWnRmjVrUs4TAOAdsh8AoofsB4DosX2L2axZszR9+nSdfvrpmjBhghYsWKB9+/bpyiuvlCRNmzZNAwcO1Lx58yRJN9xwgyZPnqz58+fr/PPP15IlS/Taa69p8eLFkqSCggLdeOON+s53vqNhw4bp+OOP1+23364BAwaorq7OuTUFAOSM7AeA6CH7ASBabDeIpkyZoqamJt1xxx1qaGjQ2LFjtXz58o4vm9u2bVvCZU+TJk3So48+qttuu0233nqrhg0bpmXLlmnUqFEd0/zbv/2b9u3bp69//evas2ePzjzzTC1fvlxlZWVZLVNpaanmzp2b9PLTKGD9WX/Wn/V3e/3JfvOw/qw/68/6k/3Rw/qz/qx/NNffq3UvsNz+nTQAAAAAAAAYzd1vOAIAAAAAAIDxaBABAAAAAABEHA0iAAAAAACAiKNBBAAAAAAAEHHGNogWLlyooUOHqqysTNXV1Vq7dm3a6ZcuXarhw4errKxMo0eP1jPPPJPwd8uydMcdd+jYY49Vz549VVNTo3fffdfNVciLk+t/8OBB3XzzzRo9erR69+6tAQMGaNq0aXr//ffdXo2cOf35d3bNNdeooKBACxYscHipneHGur/55pu64IILVFFRod69e2v8+PHatm2bW6uQF6fXf+/evbruuut03HHHqWfPnhoxYoQWLVrk5irkxc76b9myRV/5ylc0dOjQtNu03ffUT2Q/2U/2k/1kP9lP9pP96ZD9ZD/Z72L2WwZasmSJVVJSYj300EPWli1brKuuuso65phjrMbGxqTT/+lPf7KKioqsH/zgB9Ybb7xh3XbbbVaPHj2sTZs2dUxz9913WxUVFdayZcusP//5z9YFF1xgHX/88daBAwe8Wq2sOb3+e/bssWpqaqzHHnvMeuutt6z6+nprwoQJ1rhx47xcray58fnH/eY3v7HGjBljDRgwwLrvvvtcXhP73Fj3v/zlL1afPn2s2bNnW+vXr7f+8pe/WE888UTKefrJjfW/6qqrrBNPPNFatWqVtXXrVuvBBx+0ioqKrCeeeMKr1cqa3fVfu3atddNNN1m/+tWvrKqqqqTbtN15+onsJ/vJfrKf7Cf7yX6yn+wn+5Mh+73JfiMbRBMmTLCuvfbajv9ub2+3BgwYYM2bNy/p9Jdccol1/vnnJzxWXV1tXX311ZZlWVYsFrOqqqqsH/7whx1/37Nnj1VaWmr96le/cmEN8uP0+iezdu1aS5L13nvvObPQDnJr/f/+979bAwcOtDZv3mwNGTLEyELhxrpPmTLFuvzyy91ZYIe5sf4jR460vv3tbydM8+lPf9r6f//v/zm45M6wu/6dpdqm85mn18h+sp/sP4zsJ/vJfrKf7Cf7uyL7yf44N7PfuFvM2tratG7dOtXU1HQ8VlhYqJqaGtXX1yd9Tn19fcL0klRbW9sx/datW9XQ0JAwTUVFhaqrq1PO0y9urH8yzc3NKigo0DHHHOPIcjvFrfWPxWK64oorNHv2bI0cOdKdhc+TG+sei8X09NNP6+STT1Ztba0++clPqrq6WsuWLXNtPXLl1mc/adIkPfnkk9qxY4csy9KqVav0zjvv6Nxzz3VnRXKUy/r7MU+3kP1kP9lP9seR/WQ/2U/2k/3dkf1kvxfzNK5BtGvXLrW3t6uysjLh8crKSjU0NCR9TkNDQ9rp4/9rZ55+cWP9u/roo4908803a+rUqSovL3dmwR3i1vp///vfV3Fxsa6//nrnF9ohbqz7zp07tXfvXt19990677zz9Nxzz+nCCy/Ul7/8Zb300kvurEiO3Prs77//fo0YMULHHXecSkpKdN5552nhwoU666yznF+JPOSy/n7M0y1kP9lP9pP9nZH9ZD/ZT/YnQ/aT/emmJ/vzn2dxTq+OwDp48KAuueQSWZaln/zkJ34vjifWrVunH/3oR1q/fr0KCgr8XhxPxWIxSdKXvvQlffOb35QkjR07VqtXr9aiRYs0efJkPxfPE/fff79eeeUVPfnkkxoyZIj+8Ic/6Nprr9WAAQO6jUIAYUX2k/1kP9mP6CH7yX6yn+y3y7griPr166eioiI1NjYmPN7Y2Kiqqqqkz6mqqko7ffx/7czTL26sf1y8SLz33ntasWKFcaMIkjvr//LLL2vnzp0aPHiwiouLVVxcrPfee0/f+ta3NHToUFfWIxdurHu/fv1UXFysESNGJExz6qmnGvdrBm6s/4EDB3Trrbfq3nvv1Re/+EWddtppuu666zRlyhTdc8897qxIjnJZfz/m6Rayn+wn+8n+zsh+sp/sJ/uTIfvJ/lTTk/3OzNO4BlFJSYnGjRunlStXdjwWi8W0cuVKTZw4MelzJk6cmDC9JK1YsaJj+uOPP15VVVUJ07S0tGjNmjUp5+kXN9ZfOlIk3n33XT3//PPq27evOyuQJzfW/4orrtDrr7+ujRs3dvwbMGCAZs+erWeffda9lbHJjXUvKSnR+PHj9fbbbydM884772jIkCEOr0F+3Fj/gwcP6uDBgyosTIy6oqKijlEWU+Sy/n7M0y1kP9lP9pP9cWQ/2U/2k/1kf3dkP9nvyTyz/jprDy1ZssQqLS21HnnkEeuNN96wvv71r1vHHHOM1dDQYFmWZV1xxRXWLbfc0jH9n/70J6u4uNi65557rDfffNOaO3du0p+7POaYY6wnnnjCev31160vfelLRv/cpZPr39bWZl1wwQXWcccdZ23cuNH64IMPOv61trb6so7puPH5d2Xqrxm4se6/+c1vrB49eliLFy+23n33Xev++++3ioqKrJdfftnz9cvEjfWfPHmyNXLkSGvVqlXW//7v/1oPP/ywVVZWZv3Hf/yH5+uXid31b21ttTZs2GBt2LDBOvbYY62bbrrJ2rBhg/Xuu+9mPU+TkP1kP9lP9pP9ZD/ZT/aT/WS/ZZH9fmW/kQ0iy7Ks+++/3xo8eLBVUlJiTZgwwXrllVc6/jZ58mRr+vTpCdP/+te/tk4++WSrpKTEGjlypPX0008n/D0Wi1m33367VVlZaZWWllqf+9znrLffftuLVcmJk+u/detWS1LSf6tWrfJojexx+vPvytRCYVnurPvPfvYz66STTrLKysqsMWPGWMuWLXN7NXLm9Pp/8MEH1le/+lVrwIABVllZmXXKKadY8+fPt2KxmBerY5ud9U+1b0+ePDnreZqG7Cf7yX6yn+wn+8l+sj+O7J+eMD3ZT/a7nf0FlmVZ9i9gAgAAAAAAQFgY9x1EAAAAAAAA8BYNIgAAAAAAgIijQQQAAAAAABBxNIgAAAAAAAAijgYRAAAAAABAxNEgAgAAAAAAiDgaRAAAAAAAABFHgwgAAAAAACDiaBABAAAAAABEHA0iAAAAAACAiKNBBAAAAAAAEHE0iAAAAAAAACLu/wNA8fCmwzPPmAAAAABJRU5ErkJggg==",
|
|
"text/plain": [
|
|
"<Figure size 1400x300 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1400x300 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, axs = plt.subplots(1, 3, figsize=(14, 3))\n",
|
|
"for ax, par, u in zip(axs, dataset.params[:3], dataset.snapshots[\"mag(v)\"][:3]):\n",
|
|
" ax.tricontourf(dataset.triang, u, levels=16)\n",
|
|
" ax.set_title(f\"$u$ field for $\\mu$ = {par[0]:.4f}\")\n",
|
|
"fig, axs = plt.subplots(1, 3, figsize=(14, 3))\n",
|
|
"for ax, par, u in zip(axs, dataset.params[:3], dataset.snapshots[\"p\"][:3]):\n",
|
|
" ax.tricontourf(dataset.triang, u, levels=16)\n",
|
|
" ax.set_title(f\"$p$ field for $\\mu$ = {par[0]:.4f}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"To train the model we only need the snapshots for the two parameters. In order to be able to work with the snapshots in **PINA** we first need to assure they're in a compatible format, hence why we start by casting them into `LabelTensor` objects:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"\"\"\"velocity magnitude data, 5041 for each snapshot\"\"\"\n",
|
|
"\n",
|
|
"u = torch.tensor(dataset.snapshots[\"mag(v)\"]).float()\n",
|
|
"u = LabelTensor(u, labels=[f\"s{i}\" for i in range(u.shape[1])])\n",
|
|
"\"\"\"pressure data, 5041 for each snapshot\"\"\"\n",
|
|
"p = torch.tensor(dataset.snapshots[\"p\"]).float()\n",
|
|
"p = LabelTensor(p, labels=[f\"s{i}\" for i in range(p.shape[1])])\n",
|
|
"\"\"\"mu corresponding to each snapshot\"\"\"\n",
|
|
"mu = torch.tensor(dataset.params).float()\n",
|
|
"mu = LabelTensor(mu, labels=[\"mu\"])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The goal of our training is to be able to predict the solution for new test parameters. The first thing we need to do is validate the accuracy of the model, and in order to do so we split the 300 snapshots in training and testing dataset. In the example we set the training `ratio` to 0.9, which means that 90% of the total snapshots is used for training and the remaining 10% for testing."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"\"\"\"number of snapshots\"\"\"\n",
|
|
"\n",
|
|
"n = u.shape[0]\n",
|
|
"\"\"\"training over total snapshots ratio and number of training snapshots\"\"\"\n",
|
|
"ratio = 0.9\n",
|
|
"n_train = int(n * ratio)\n",
|
|
"\"\"\"split u and p data\"\"\"\n",
|
|
"u_train, u_test = u[:n_train], u[n_train:] # for mag(v)\n",
|
|
"p_train, p_test = p[:n_train], p[n_train:] # for p\n",
|
|
"\"\"\"split snapshots\"\"\"\n",
|
|
"mu_train, mu_test = mu[:n_train], mu[n_train:]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"We now proceed by defining the model we intend to use. We inherit from the `torch.nn.Module` class, but in addition we require a `pod_rank` for the POD part and a function `rbf_kernel` in order to perform the RBF part:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"class PODRBF(torch.nn.Module):\n",
|
|
" \"\"\"\n",
|
|
" Proper orthogonal decomposition with Radial Basis Function interpolation model.\n",
|
|
" \"\"\"\n",
|
|
"\n",
|
|
" def __init__(self, pod_rank, rbf_kernel):\n",
|
|
"\n",
|
|
" super().__init__()\n",
|
|
" self.pod = PODBlock(pod_rank)\n",
|
|
" self.rbf = RBFBlock(kernel=rbf_kernel)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"We complete our model by adding two crucial methods. The first is `forward`, and it expands the input POD coefficients. After being expanded the POD layer needs to be fit, hence why we add a `fit` method that gives us the POD basis (current **PINA** default is by performing truncated Singular Value Decomposition). The same method then uses the basis to fit the RBF interpolation. Overall, the completed class looks like this:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"class PODRBF(torch.nn.Module):\n",
|
|
" \"\"\"\n",
|
|
" Proper orthogonal decomposition with Radial Basis Function interpolation model.\n",
|
|
" \"\"\"\n",
|
|
"\n",
|
|
" def __init__(self, pod_rank, rbf_kernel):\n",
|
|
"\n",
|
|
" super().__init__()\n",
|
|
" self.pod = PODBlock(pod_rank)\n",
|
|
" self.rbf = RBFBlock(kernel=rbf_kernel)\n",
|
|
"\n",
|
|
" def forward(self, x):\n",
|
|
" \"\"\"\n",
|
|
" Defines the computation performed at every call.\n",
|
|
" :param x: The tensor to apply the forward pass.\n",
|
|
" :type x: torch.Tensor\n",
|
|
" :return: the output computed by the model.\n",
|
|
" :rtype: torch.Tensor\n",
|
|
" \"\"\"\n",
|
|
" coefficients = self.rbf(x)\n",
|
|
" return self.pod.expand(coefficients)\n",
|
|
"\n",
|
|
" def fit(self, p, x):\n",
|
|
" \"\"\"\n",
|
|
" Call the :meth:`pina.model.layers.PODBlock.fit` method of the\n",
|
|
" :attr:`pina.model.layers.PODBlock` attribute to perform the POD,\n",
|
|
" and the :meth:`pina.model.layers.RBFBlock.fit` method of the\n",
|
|
" :attr:`pina.model.layers.RBFBlock` attribute to fit the interpolation.\n",
|
|
" \"\"\"\n",
|
|
" self.pod.fit(x)\n",
|
|
" self.rbf.fit(p, self.pod.reduce(x))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now that we've built our class, we can fit the model and ask it to predict the parameters for the remaining snapshots. We remember that we don't need to train the model, as it doesn't involve any learnable parameter. The only things we have to set are the rank of the decomposition and the radial basis function (here we use thin plate). Here we focus on predicting the magnitude of velocity:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"\"\"\"create the model\"\"\"\n",
|
|
"\n",
|
|
"pod_rbfu = PODRBF(pod_rank=20, rbf_kernel=\"thin_plate_spline\")\n",
|
|
"\n",
|
|
"\"\"\"fit the model to velocity training data\"\"\"\n",
|
|
"pod_rbfu.fit(mu_train, u_train)\n",
|
|
"\n",
|
|
"\"\"\"predict the parameter using the fitted model\"\"\"\n",
|
|
"u_train_rbf = pod_rbfu(mu_train)\n",
|
|
"u_test_rbf = pod_rbfu(mu_test)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Finally we can calculate the relative error for our model:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Error summary for POD-RBF model:\n",
|
|
" Train: 8.186829e-03\n",
|
|
" Test: 5.143083e-02\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"relative_u_error_train = torch.norm(u_train_rbf - u_train) / torch.norm(u_train)\n",
|
|
"relative_u_error_test = torch.norm(u_test_rbf - u_test) / torch.norm(u_test)\n",
|
|
"\n",
|
|
"print(\"Error summary for POD-RBF model:\")\n",
|
|
"print(f\" Train: {relative_u_error_train.item():e}\")\n",
|
|
"print(f\" Test: {relative_u_error_test.item():e}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The results are promising! Now let's visualise them, comparing four random predicted snapshots to the true ones:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1400x1000 with 24 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"import matplotlib\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"\n",
|
|
"idx = torch.randint(0, len(u_test), (4,))\n",
|
|
"u_idx_rbf = pod_rbfu(mu_test[idx])\n",
|
|
"fig, axs = plt.subplots(3, 4, figsize=(14, 10))\n",
|
|
"\n",
|
|
"relative_u_error_rbf = np.abs(u_test[idx] - u_idx_rbf.detach())\n",
|
|
"relative_u_error_rbf = np.where(\n",
|
|
" u_test[idx] < 1e-7, 1e-7, relative_u_error_rbf / u_test[idx]\n",
|
|
")\n",
|
|
"\n",
|
|
"for i, (idx_, rbf_, rbf_err_) in enumerate(\n",
|
|
" zip(idx, u_idx_rbf, relative_u_error_rbf)\n",
|
|
"):\n",
|
|
" axs[0, i].set_title(\"Prediction for \" f\"$\\mu$ = {mu_test[idx_].item():.4f}\")\n",
|
|
" axs[1, i].set_title(\n",
|
|
" \"True snapshot for \" f\"$\\mu$ = {mu_test[idx_].item():.4f}\"\n",
|
|
" )\n",
|
|
" axs[2, i].set_title(\"Error for \" f\"$\\mu$ = {mu_test[idx_].item():.4f}\")\n",
|
|
"\n",
|
|
" cm = axs[0, i].tricontourf(\n",
|
|
" dataset.triang, rbf_.detach()\n",
|
|
" ) # POD-RBF prediction\n",
|
|
" plt.colorbar(cm, ax=axs[0, i])\n",
|
|
"\n",
|
|
" cm = axs[1, i].tricontourf(dataset.triang, u_test[idx_].flatten()) # Truth\n",
|
|
" plt.colorbar(cm, ax=axs[1, i])\n",
|
|
"\n",
|
|
" cm = axs[2, i].tripcolor(\n",
|
|
" dataset.triang, rbf_err_, norm=matplotlib.colors.LogNorm()\n",
|
|
" ) # Error for POD-RBF\n",
|
|
" plt.colorbar(cm, ax=axs[2, i])\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Overall we have reached a good level of approximation while avoiding time-consuming training procedures. Let's try doing the same to predict the pressure snapshots:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Error summary for POD-RBF model:\n",
|
|
" Train: 5.242423e-02\n",
|
|
" Test: 2.334622e+06\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"\"\"\"create the model\"\"\"\n",
|
|
"\n",
|
|
"pod_rbfp = PODRBF(pod_rank=20, rbf_kernel=\"thin_plate_spline\")\n",
|
|
"\n",
|
|
"\"\"\"fit the model to pressure training data\"\"\"\n",
|
|
"pod_rbfp.fit(mu_train, p_train)\n",
|
|
"\n",
|
|
"\"\"\"predict the parameter using the fitted model\"\"\"\n",
|
|
"p_train_rbf = pod_rbfp(mu_train)\n",
|
|
"p_test_rbf = pod_rbfp(mu_test)\n",
|
|
"\n",
|
|
"relative_p_error_train = torch.norm(p_train_rbf - p_train) / torch.norm(p_train)\n",
|
|
"relative_p_error_test = torch.norm(p_test_rbf - p_test) / torch.norm(p_test)\n",
|
|
"\n",
|
|
"print(\"Error summary for POD-RBF model:\")\n",
|
|
"print(f\" Train: {relative_p_error_train.item():e}\")\n",
|
|
"print(f\" Test: {relative_p_error_test.item():e}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Unfortunately here we obtain a very high relative test error, although this is likely due to the nature of the available data. Looking at the plots we can see that the pressure field is subject to high variations between subsequent snapshots, especially here: "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1400x600 with 12 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, axs = plt.subplots(2, 3, figsize=(14, 6))\n",
|
|
"for ax, par, u in zip(\n",
|
|
" axs.ravel(), dataset.params[66:72], dataset.snapshots[\"p\"][66:72]\n",
|
|
"):\n",
|
|
" cm = ax.tricontourf(dataset.triang, u, levels=16)\n",
|
|
" plt.colorbar(cm, ax=ax)\n",
|
|
" ax.set_title(f\"$p$ field for $\\mu$ = {par[0]:.4f}\")\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Or here:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1400x600 with 12 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, axs = plt.subplots(2, 3, figsize=(14, 6))\n",
|
|
"for ax, par, u in zip(\n",
|
|
" axs.ravel(), dataset.params[98:104], dataset.snapshots[\"p\"][98:104]\n",
|
|
"):\n",
|
|
" cm = ax.tricontourf(dataset.triang, u, levels=16)\n",
|
|
" plt.colorbar(cm, ax=ax)\n",
|
|
" ax.set_title(f\"$p$ field for $\\mu$ = {par[0]:.4f}\")\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Scrolling through the velocity snapshots we can observe a more regular behaviour, with no such variations in subsequent snapshots. Moreover, if we decide not to consider the abovementioned \"problematic\" snapshots, we can already observe a huge improvement:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Error summary for POD-RBF model:\n",
|
|
" Train: 3.672517e-02\n",
|
|
" Test: 1.686272e-01\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"\"\"\"excluding problematic snapshots\"\"\"\n",
|
|
"\n",
|
|
"data = list(range(300))\n",
|
|
"data_to_consider = data[:67] + data[71:100] + data[102:]\n",
|
|
"\"\"\"proceed as before\"\"\"\n",
|
|
"newp = torch.tensor(dataset.snapshots[\"p\"][data_to_consider]).float()\n",
|
|
"newp = LabelTensor(newp, labels=[f\"s{i}\" for i in range(newp.shape[1])])\n",
|
|
"\n",
|
|
"newmu = torch.tensor(dataset.params[data_to_consider]).float()\n",
|
|
"newmu = LabelTensor(newmu, labels=[\"mu\"])\n",
|
|
"\n",
|
|
"newn = newp.shape[0]\n",
|
|
"ratio = 0.9\n",
|
|
"new_train = int(newn * ratio)\n",
|
|
"\n",
|
|
"new_p_train, new_p_test = newp[:new_train], newp[new_train:]\n",
|
|
"\n",
|
|
"new_mu_train, new_mu_test = newmu[:new_train], newmu[new_train:]\n",
|
|
"\n",
|
|
"new_pod_rbfp = PODRBF(pod_rank=20, rbf_kernel=\"thin_plate_spline\")\n",
|
|
"\n",
|
|
"new_pod_rbfp.fit(new_mu_train, new_p_train)\n",
|
|
"\n",
|
|
"new_p_train_rbf = new_pod_rbfp(new_mu_train)\n",
|
|
"new_p_test_rbf = new_pod_rbfp(new_mu_test)\n",
|
|
"\n",
|
|
"new_relative_p_error_train = torch.norm(\n",
|
|
" new_p_train_rbf - new_p_train\n",
|
|
") / torch.norm(new_p_train)\n",
|
|
"new_relative_p_error_test = torch.norm(\n",
|
|
" new_p_test_rbf - new_p_test\n",
|
|
") / torch.norm(new_p_test)\n",
|
|
"\n",
|
|
"print(\"Error summary for POD-RBF model:\")\n",
|
|
"print(f\" Train: {new_relative_p_error_train.item():e}\")\n",
|
|
"print(f\" Test: {new_relative_p_error_test.item():e}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## What's next?\n",
|
|
"\n",
|
|
"Congratulations on completing the **PINA** tutorial on building and using a custom POD class! Now you can try:\n",
|
|
"\n",
|
|
"1. Varying the inputs of the model (for a list of the supported RB functions look at the `rbf_layer.py` file in `pina.layers`)\n",
|
|
"\n",
|
|
"2. Changing the POD model, for example using Artificial Neural Networks. For a more in depth overview of POD-NN and a comparison with the POD-RBF model already shown, look at [Tutorial: Reduced order model (POD-RBF or POD-NN) for parametric problems](https://colab.research.google.com/github/mathLab/PINA/blob/master/tutorials/tutorial9/tutorial.ipynb)\n",
|
|
"\n",
|
|
"3. Building your own classes or adapt the one shown to other datasets/problems"
|
|
]
|
|
}
|
|
],
|
|
"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": "3.12.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|