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@shoyer
Last active October 14, 2021 23:52
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Exploring Kuramoto-Sivashinsky in JAX-CFD.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Exploring Kuramoto-Sivashinsky in JAX-CFD.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyNXc3mrB5OHAzNJDHuVsbWx",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/shoyer/097619988e3fc84f63a8cbf0cd965d3a/exploring-kuramoto-sivashinsky-in-jax-cfd.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "86DLDDxlmQZ-",
"outputId": "a4f72f85-a0c1-43ad-9866-4c00cebbcddf"
},
"source": [
"! pip install -U git+https://github.com/google/jax-cfd.git"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Collecting git+https://github.com/google/jax-cfd.git\n",
" Cloning https://github.com/google/jax-cfd.git to /tmp/pip-req-build-dd9wjtdc\n",
" Running command git clone -q https://github.com/google/jax-cfd.git /tmp/pip-req-build-dd9wjtdc\n",
"Requirement already satisfied: jax in /usr/local/lib/python3.7/dist-packages (from jax-cfd==0.1.0) (0.2.21)\n",
"Requirement already satisfied: numpy in /usr/local/lib/python3.7/dist-packages (from jax-cfd==0.1.0) (1.19.5)\n",
"Requirement already satisfied: scipy in /usr/local/lib/python3.7/dist-packages (from jax-cfd==0.1.0) (1.4.1)\n",
"Requirement already satisfied: opt-einsum in /usr/local/lib/python3.7/dist-packages (from jax->jax-cfd==0.1.0) (3.3.0)\n",
"Requirement already satisfied: absl-py in /usr/local/lib/python3.7/dist-packages (from jax->jax-cfd==0.1.0) (0.12.0)\n",
"Requirement already satisfied: six in /usr/local/lib/python3.7/dist-packages (from absl-py->jax->jax-cfd==0.1.0) (1.15.0)\n"
]
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Qrt04E9_mVco"
},
"source": [
"import dataclasses\n",
"import jax.numpy as jnp\n",
"import jax\n",
"from jax_cfd.base import funcutils\n",
"from jax_cfd.base import grids\n",
"from jax_cfd.spectral import equations as spectral_equations\n",
"from jax_cfd.spectral import time_stepping\n",
"from jax_cfd.spectral import utils as spectral_utils\n",
"import numpy as np\n",
"import xarray"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Edh22wfgmhTZ"
},
"source": [
"size = 128\n",
"length = 64.0\n",
"grid = grids.Grid((size,), domain=length)\n",
"dt = 20 * grid.step[0] / length\n",
"\n",
"outer_steps = 2000\n",
"step_fn = time_stepping.crank_nicolson_rk4(\n",
" spectral_equations.KuramotoSivashinsky(grid, smooth=True), dt)\n",
"rollout_fn = funcutils.trajectory(step_fn, outer_steps)\n",
"\n",
"xs, = grid.axes()\n",
"ts = dt * np.arange(outer_steps)\n",
"u0 = jnp.cos(20 * xs)\n",
"u0_hat = jnp.fft.rfft(u0)\n",
"_, trajectory_hat = jax.device_get(rollout_fn(u0_hat))\n",
"trajectory = jnp.fft.irfft(trajectory_hat).real\n"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"id": "eOdwNaernOqf",
"outputId": "199e2968-24de-4920-8c31-cb229c4f0619"
},
"source": [
"xarray.DataArray(trajectory, dims=['t', 'x'], coords={'x': xs, 't': ts}).plot.imshow(x='t', y='x', size=4, aspect=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f06958e7bd0>"
]
},
"metadata": {},
"execution_count": 56
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "pdcgyGOzno3J"
},
"source": [
"@dataclasses.dataclass\n",
"class AlmostKS(time_stepping.ImplicitExplicitODE):\n",
" \"\"\"Kuramoto–Sivashinsky without the fourth-order term.\"\"\"\n",
" grid: grids.Grid\n",
" smooth: bool = True\n",
"\n",
" def __post_init__(self):\n",
" self.kx, = self.grid.rfft_axes()\n",
" self.two_pi_i_k = 2j * jnp.pi * self.kx\n",
" self.linear_term = -self.two_pi_i_k ** 2\n",
" self.rfft = spectral_utils.truncated_rfft if self.smooth else jnp.fft.rfft\n",
" self.irfft = spectral_utils.padded_irfft if self.smooth else jnp.fft.irfft\n",
"\n",
" def explicit_terms(self, uhat):\n",
" \"\"\"Non-linear parts of the equation, namely `- 1/2 * (u ** 2)_x`.\"\"\"\n",
" uhat_squared = self.rfft(jnp.square(self.irfft(uhat)))\n",
" return -0.5 * self.two_pi_i_k * uhat_squared\n",
"\n",
" def implicit_terms(self, uhat):\n",
" \"\"\"Linear parts of the equation, namely `- u_xx`.\"\"\"\n",
" return self.linear_term * uhat\n",
"\n",
" def implicit_solve(self, uhat, time_step):\n",
" \"\"\"Solves for `implicit_terms`, implicitly.\"\"\"\n",
" return 1 / (1 - time_step * self.linear_term) * uhat\n"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "ANg6h5y0pE91"
},
"source": [
"size = 128\n",
"length = 64.0\n",
"grid = grids.Grid((size,), domain=length)\n",
"dt = 1 * grid.step[0] / length\n",
"\n",
"outer_steps = 20\n",
"step_fn = time_stepping.crank_nicolson_rk4(\n",
" AlmostKS(grid, smooth=True), dt)\n",
"rollout_fn = funcutils.trajectory(step_fn, outer_steps)\n",
"\n",
"xs, = grid.axes()\n",
"ts = dt * np.arange(outer_steps)\n",
"u0 = jnp.cos(20 * xs)\n",
"u0_hat = jnp.fft.rfft(u0)\n",
"_, trajectory_hat = jax.device_get(rollout_fn(u0_hat))\n",
"trajectory = jnp.fft.irfft(trajectory_hat).real\n"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"id": "iP7bwDJapItV",
"outputId": "5a991fd6-3c45-4e93-dae4-9188a2806ed9"
},
"source": [
"xarray.DataArray(trajectory, dims=['t', 'x'], coords={'x': xs, 't': ts}).plot.imshow(x='t', y='x', size=4, aspect=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f0694e80f50>"
]
},
"metadata": {},
"execution_count": 74
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "e6Wv4PUApgQb"
},
"source": [
""
],
"execution_count": null,
"outputs": []
}
]
}
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