809 lines
717 KiB
Plaintext
809 lines
717 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 21,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"The autoreload extension is already loaded. To reload it, use:\n",
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" %reload_ext autoreload\n"
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]
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}
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],
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"source": [
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"# automatically reflect changes in imported modules\n",
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"%load_ext autoreload\n",
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"%autoreload 2\n",
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"\n",
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"from pathlib import Path\n",
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"import astropy.units as u\n",
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"\n",
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"import utils\n",
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"import utils.logging_config\n",
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"utils.logging_config.set_log_level(\"info\")\n",
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"import logging\n",
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"logger = logging.getLogger(\"task2 (mesh)\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 22,
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"metadata": {},
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"outputs": [],
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"source": [
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"DATA_ROOT = Path('data')\n",
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"# DATA_NAME = 'data0.txt'\n",
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"DATA_NAME = 'data1.txt'\n",
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"# DATA_NAME = 'data0_noise.txt'\n",
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"DATA_NAME = 'data1_noise.txt'\n",
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"NBINS = 30\n",
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"CACHE_ROOT = Path('.cache')\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 23,
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"metadata": {},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"16:11:21 - utils.load - Loaded 9913 rows and 9 columns from data/data1_noise.txt\n"
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]
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}
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],
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"source": [
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"points, columns = utils.load_data(DATA_ROOT / DATA_NAME)\n",
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"logger.debug(f\"Fetched {points.shape[0]} points, columns: {columns}\")\n",
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"# points = points[1:100, ...]\n",
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"points = points[::2]\n",
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"# TODO remove\n",
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"# reorder the columns to match the expected order (x, y, z, mass)\n",
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"particles = points[:, [2, 3, 4, 1]]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 24,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"utils.particles_plot_3d(particles)\n",
|
|
"# Note: colormap corresponds to the mass of the particles\n",
|
|
"utils.particles_plot_2d(particles)\n",
|
|
"# Note: colormap corresponds to the order of the particles in the array\n",
|
|
"\n",
|
|
"## Also consider the velocity distribution\n",
|
|
"velocities = points[:, [5, 6, 7]]\n",
|
|
"r = np.linalg.norm(particles[..., :3], axis=-1)\n",
|
|
"v = np.linalg.norm(velocities, axis=-1)\n",
|
|
"plt.figure()\n",
|
|
"plt.plot(r, v, 'o')\n",
|
|
"plt.xlabel('r')\n",
|
|
"plt.ylabel('v')\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"## Check the velocity direction\n",
|
|
"radial_velocities = np.zeros_like(v)\n",
|
|
"circular_velocities = np.zeros_like(v)\n",
|
|
"for i in range(particles.shape[0]):\n",
|
|
" if r[i] > 0:\n",
|
|
" radial_velocities[i] = np.abs(np.dot(velocities[i], particles[i, :3]) / r[i])\n",
|
|
" circular_velocities[i] = np.linalg.norm(np.cross(particles[i, :3], velocities[i])) / r[i]\n",
|
|
" else:\n",
|
|
" radial_velocities[i] = 0\n",
|
|
" circular_velocities[i] = 0\n",
|
|
"\n",
|
|
"plt.figure()\n",
|
|
"plt.plot(r, radial_velocities, 'o', label=\"Radial velocity\")\n",
|
|
"plt.plot(r, circular_velocities, 'o', label=\"Circular velocity\")\n",
|
|
"plt.xlabel('r')\n",
|
|
"plt.ylabel('v')\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### System characteristics\n",
|
|
"- central black hole with mass $\\sim 10 \\%$\n",
|
|
"- particles orbit circularly in the equatorial plane\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Choice of units\n",
|
|
"Recap of the particle properties:\n",
|
|
"- $\\sim 10^4$ particles\n",
|
|
"- around 1 black hole (10% of the mass)\n",
|
|
"\n",
|
|
"$\\implies$ ???"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"16:11:22 - task2 (mesh) - Considering a globular cluster - total mass of stars: 4.999999999999998, maximum radius of particles: 0.9071093510829972\n",
|
|
"16:11:22 - utils.units - Set scales: M_SCALE = 2e+03 solMass, R_SCALE = 1.1 pc\n",
|
|
"16:11:22 - task2 (mesh) - Black hole mass: 2e+03 solMass\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# Set G = 1\n",
|
|
"G = 1\n",
|
|
"\n",
|
|
"# from the particle number we can estimate the total (stellar) mass, excluding the BH\n",
|
|
"M_TOT = 1e4 * u.M_sun\n",
|
|
"# the radius aound the black hole follows from ??? # TODO\n",
|
|
"R_TOT = 1 * u.pc\n",
|
|
"\n",
|
|
"# Rescale the units of the particles - considering only the orbiting stars\n",
|
|
"M_particles = particles[:,3].sum() - 1\n",
|
|
"R_particles = np.max(np.linalg.norm(particles[:, :3], axis=1))\n",
|
|
"\n",
|
|
"logger.info(f\"Considering a globular cluster - total mass of stars: {M_particles}, maximum radius of particles: {R_particles}\")\n",
|
|
"m_scale = M_TOT / M_particles\n",
|
|
"r_scale = R_TOT / R_particles\n",
|
|
"utils.seed_scales(r_scale, m_scale)\n",
|
|
"logger.info(f\"Black hole mass: {utils.apply_units(particles[0, -1], \"mass\"):.2g}\")\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"16:11:22 - utils.particles - Found mean interparticle distance: 0.030700308489681912\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"### Direct N body force computation\n",
|
|
"epsilon = utils.mean_interparticle_distance(particles)\n",
|
|
"\n",
|
|
"epsilon_range = np.logspace(-2, 2, 5)\n",
|
|
"epsilon_range = np.logspace(-1, 1, 3)\n",
|
|
"n_squared_forces = []\n",
|
|
"\n",
|
|
"SAVE_FORCES = False\n",
|
|
"\n",
|
|
"for e in epsilon_range:\n",
|
|
" n_particles = particles.shape[0]\n",
|
|
" cache_file = CACHE_ROOT / f\"n_squared_forces__n_{n_particles}__softening_multiplier_{e:.0f}.npy\"\n",
|
|
" try:\n",
|
|
" f = np.load(cache_file)\n",
|
|
" logger.info(f\"Loaded forces from {cache_file}\")\n",
|
|
" except FileNotFoundError:\n",
|
|
" f = utils.n_body_forces(particles, G, e * epsilon)\n",
|
|
" if SAVE_FORCES:\n",
|
|
" np.save(cache_file, f)\n",
|
|
" logger.debug(f\"Saved forces to {cache_file}\")\n",
|
|
" n_squared_forces.append(f)\n",
|
|
"\n",
|
|
"### Mesh based force computation\n",
|
|
"mesh_size_range = [10, 20, 50, 100, 150, 200]\n",
|
|
"mesh_size_range = [20, 75, 50, 100]\n",
|
|
"# TODO add uneven numbers\n",
|
|
"mapping = utils.particle_to_cells_nn\n",
|
|
"\n",
|
|
"mesh_forces = []\n",
|
|
"for mesh_size in mesh_size_range:\n",
|
|
" cache_file = CACHE_ROOT / f\"mesh_forces__n_{n_particles}__mesh_size_{mesh_size}__mapping_{mapping.__name__}.npy\"\n",
|
|
" try:\n",
|
|
" f = np.load(cache_file)\n",
|
|
" logger.info(f\"Loaded forces from {cache_file}\")\n",
|
|
" except FileNotFoundError:\n",
|
|
" f = utils.mesh_forces_v2(particles, G, mesh_size, mapping)\n",
|
|
" if SAVE_FORCES:\n",
|
|
" np.save(cache_file, f)\n",
|
|
" logger.debug(f\"Saved forces to {cache_file}\")\n",
|
|
" mesh_forces.append(f)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"## Compare the mesh computation with the direct summation\n",
|
|
"r = np.linalg.norm(particles[:,:3], axis=1)\n",
|
|
"\n",
|
|
"plt.figure()\n",
|
|
"plt.title('Radial force dependence')\n",
|
|
"plt.xscale('log')\n",
|
|
"plt.yscale('log')\n",
|
|
"plt.xlabel('$r$')\n",
|
|
"plt.ylabel('$|F(r)|$')\n",
|
|
"\n",
|
|
"# many of the particles have the same distance from the origin, so we skip some of them\n",
|
|
"SKIP_N = 20\n",
|
|
"\n",
|
|
"for f, e in zip(n_squared_forces, epsilon_range):\n",
|
|
" # remove the black hole:\n",
|
|
" plt.plot(r[1::SKIP_N], np.linalg.norm(f, axis=1)[1::SKIP_N], '.', label=f\"$N^2$ - {e:.1g} * $\\\\epsilon$\", alpha=0.3)\n",
|
|
"for f, s in zip(mesh_forces, mesh_size_range):\n",
|
|
" # remove the black hole:\n",
|
|
" plt.plot(r[1::SKIP_N], np.linalg.norm(f, axis=1)[1::SKIP_N], 'o', label=f\"Mesh - N={s}\", alpha=0.3)\n",
|
|
"\n",
|
|
"plt.legend(bbox_to_anchor=(1.05, 1), loc='upper left')\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"\n",
|
|
"# TODO: compare computation time\n",
|
|
"\n",
|
|
"plt.figure()\n",
|
|
"plt.xscale('log')\n",
|
|
"plt.yscale('log')\n",
|
|
"ith = 1\n",
|
|
"f = n_squared_forces[ith]\n",
|
|
"f_val = np.linalg.norm(f, axis=1)\n",
|
|
"# plt.plot(r, f_val, 'o', label=f'N^2 + {epsilon_range[ith]=:.2g} * epsilon')\n",
|
|
"f = mesh_forces[1]\n",
|
|
"f_val = np.linalg.norm(f, axis=1)\n",
|
|
"plt.plot(r, f_val, 'x', label=f'Mesh n={mesh_size_range[1]}')\n",
|
|
"plt.legend()\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"#### Discussion\n",
|
|
"- Using the baseline of $N^2 + 1 \\varepsilon$ softening we can see that already a 20 x 20 x 20 grid provides good accuracy but the mapping breaks down at small distances (dip)\n",
|
|
"- Larger grids are more stable, especially at small distances => 50 x 50 x 50 already seems to be a good choice\n",
|
|
"- very large grids show overdiscretization => noisy data even for the non-noisy particle distributions\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Time integration"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import scipy.integrate as spi"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"16:11:24 - task2 (mesh) - Considering 4957 particles\n",
|
|
"16:11:24 - task2 (mesh) - Total mass: 5.999999999999998\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# load the particles in the format [x, y, z, vx, vy, vz, mass]\n",
|
|
"p0 = points[:, [2, 3, 4, 5, 6, 7, 1]]\n",
|
|
"\n",
|
|
"logger.info(f\"Considering {p0.shape[0]} particles\")\n",
|
|
"logger.info(f\"Total mass: {np.sum(p0[:,6])}\")\n",
|
|
"\n",
|
|
"if logger.level <= logging.DEBUG:\n",
|
|
" # assert that the ODE reshaping is consistent\n",
|
|
" p0_ref = p0.copy()\n",
|
|
" y0, _ = utils.ode_setup(p0, None)\n",
|
|
" logger.debug(y0[0:7])\n",
|
|
" p0_reconstructed = utils.to_particles(y0)\n",
|
|
" logger.debug(f\"{p0_ref[0]} -> {p0_reconstructed[0]}\")\n",
|
|
" logger.debug(f\"{p0_ref[1]} -> {p0_reconstructed[1]}\")\n",
|
|
"\n",
|
|
" assert np.allclose(p0_ref, p0_reconstructed)\n",
|
|
" logger.debug(\"Consistency check passed\")\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 30,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def integrate(method: str, force_function: callable, p0: np.ndarray, t_range: np.ndarray) -> np.ndarray:\n",
|
|
" \"\"\"\n",
|
|
" Integrate the gravitational movement of the particles, using the specified method\n",
|
|
" - method: the integration method to use (\"scipy\" or \"rk4\")\n",
|
|
" - force_function: the function that computes the forces acting on the particles\n",
|
|
" - p0: the initial conditions of the particles (n, 7) array, unflattened\n",
|
|
" - t_range: the time range to integrate over\n",
|
|
" Returns: the integrated positions and velocities of the particles in a 'flattened' array (time_steps, nx7)\n",
|
|
" \"\"\"\n",
|
|
" y0, y_prime = utils.ode_setup(p0, force_function)\n",
|
|
" \n",
|
|
" if method == \"scipy\":\n",
|
|
" sol = spi.odeint(y_prime, y0, t_range, rtol=1e-2)\n",
|
|
" elif method == \"rk4\":\n",
|
|
" sol = np.zeros((t_range.shape[0], y0.shape[0]))\n",
|
|
" sol[0] = y0\n",
|
|
" dt = t_range[1] - t_range[0]\n",
|
|
" for i in range(1, t_range.shape[0]):\n",
|
|
" t = t_range[i]\n",
|
|
" sol[i,...] = utils.runge_kutta_4(sol[i-1], t, y_prime, dt)\n",
|
|
"\n",
|
|
"\n",
|
|
" logger.info(f\"Integration done, shape: {sol.shape}\")\n",
|
|
" return sol\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 31,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"16:11:24 - utils.particles - Found mean interparticle distance: 0.030700308489681912\n",
|
|
"16:11:24 - task2 (mesh) - Mean velocity: 0.0012104095218882385, timestep: 0.02536357153055888\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# Determine the integration timesteps\n",
|
|
"# let's first compute the crossing time\n",
|
|
"v = np.linalg.norm(particles[:, 3:6], axis=1)\n",
|
|
"v_mean = np.mean(v)\n",
|
|
"# a timestep should result in a small displacement, wrt. to the mean interparticle distance\n",
|
|
"r_inter = utils.mean_interparticle_distance(particles)\n",
|
|
"\n",
|
|
"dt = r_inter / v_mean * 1e-3\n",
|
|
"logger.info(f\"Mean velocity: {v_mean}, timestep: {dt}\")\n",
|
|
"\n",
|
|
"if np.isnan(dt):\n",
|
|
" raise ValueError(\"Invalid timestep\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 32,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"16:11:24 - task2 (mesh) - Integration range: 0.0 -> 0.2282721437750299, n_steps: 10\n",
|
|
"16:11:24 - utils.particles - Found mean interparticle distance: 0.030700308489681912\n"
|
|
]
|
|
},
|
|
{
|
|
"ename": "KeyboardInterrupt",
|
|
"evalue": "",
|
|
"output_type": "error",
|
|
"traceback": [
|
|
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
|
|
"\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)",
|
|
"Cell \u001b[0;32mIn[32], line 19\u001b[0m\n\u001b[1;32m 13\u001b[0m force_function \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mlambda\u001b[39;00m x: utils\u001b[38;5;241m.\u001b[39mn_body_forces(x, G, epsilon)\n\u001b[1;32m 14\u001b[0m \u001b[38;5;66;03m# force_function = lambda x: 0\u001b[39;00m\n\u001b[1;32m 15\u001b[0m \u001b[38;5;66;03m# force_function = lambda x: utils.n_body_forces_basic(x, G, epsilon)\u001b[39;00m\n\u001b[1;32m 16\u001b[0m \u001b[38;5;66;03m# force_function = lambda x: utils.analytical_forces(x)\u001b[39;00m\n\u001b[1;32m 17\u001b[0m \u001b[38;5;66;03m# force_function = lambda x: utils.mesh_forces_v2(x, G, 135, utils.particle_to_cells_nn)\u001b[39;00m\n\u001b[0;32m---> 19\u001b[0m sol \u001b[38;5;241m=\u001b[39m \u001b[43mintegrate\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mrk4\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mforce_function\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mp0\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mt_range\u001b[49m\u001b[43m)\u001b[49m\n",
|
|
"Cell \u001b[0;32mIn[30], line 20\u001b[0m, in \u001b[0;36mintegrate\u001b[0;34m(method, force_function, p0, t_range)\u001b[0m\n\u001b[1;32m 18\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(\u001b[38;5;241m1\u001b[39m, t_range\u001b[38;5;241m.\u001b[39mshape[\u001b[38;5;241m0\u001b[39m]):\n\u001b[1;32m 19\u001b[0m t \u001b[38;5;241m=\u001b[39m t_range[i]\n\u001b[0;32m---> 20\u001b[0m sol[i,\u001b[38;5;241m.\u001b[39m\u001b[38;5;241m.\u001b[39m\u001b[38;5;241m.\u001b[39m] \u001b[38;5;241m=\u001b[39m \u001b[43mutils\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrunge_kutta_4\u001b[49m\u001b[43m(\u001b[49m\u001b[43msol\u001b[49m\u001b[43m[\u001b[49m\u001b[43mi\u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mt\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43my_prime\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdt\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 23\u001b[0m logger\u001b[38;5;241m.\u001b[39minfo(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mIntegration done, shape: \u001b[39m\u001b[38;5;132;01m{\u001b[39;00msol\u001b[38;5;241m.\u001b[39mshape\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 24\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m sol\n",
|
|
"File \u001b[0;32m~/Documents/Uni/HS24/Computational Astrophysics/projects/nbody/utils/integrate.py:85\u001b[0m, in \u001b[0;36mrunge_kutta_4\u001b[0;34m(y0, t, f, dt)\u001b[0m\n\u001b[1;32m 84\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21mrunge_kutta_4\u001b[39m(y0 : np\u001b[38;5;241m.\u001b[39mndarray, t : \u001b[38;5;28mfloat\u001b[39m, f, dt : \u001b[38;5;28mfloat\u001b[39m):\n\u001b[0;32m---> 85\u001b[0m k1 \u001b[38;5;241m=\u001b[39m \u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[43my0\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mt\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 86\u001b[0m k2 \u001b[38;5;241m=\u001b[39m f(y0 \u001b[38;5;241m+\u001b[39m k1\u001b[38;5;241m/\u001b[39m\u001b[38;5;241m2\u001b[39m \u001b[38;5;241m*\u001b[39m dt, t \u001b[38;5;241m+\u001b[39m dt\u001b[38;5;241m/\u001b[39m\u001b[38;5;241m2\u001b[39m)\n\u001b[1;32m 87\u001b[0m k3 \u001b[38;5;241m=\u001b[39m f(y0 \u001b[38;5;241m+\u001b[39m k2\u001b[38;5;241m/\u001b[39m\u001b[38;5;241m2\u001b[39m \u001b[38;5;241m*\u001b[39m dt, t \u001b[38;5;241m+\u001b[39m dt\u001b[38;5;241m/\u001b[39m\u001b[38;5;241m2\u001b[39m)\n",
|
|
"File \u001b[0;32m~/Documents/Uni/HS24/Computational Astrophysics/projects/nbody/utils/integrate.py:34\u001b[0m, in \u001b[0;36mode_setup.<locals>.f\u001b[0;34m(y, t)\u001b[0m\n\u001b[1;32m 29\u001b[0m p \u001b[38;5;241m=\u001b[39m to_particles(y)\n\u001b[1;32m 30\u001b[0m \u001b[38;5;66;03m# this is explicitly a copy, which has shape (n, 7)\u001b[39;00m\n\u001b[1;32m 31\u001b[0m \u001b[38;5;66;03m# columns x, y, z, vx, vy, vz, m\u001b[39;00m\n\u001b[1;32m 32\u001b[0m \u001b[38;5;66;03m# (need to keep y intact since integrators make multiple function calls)\u001b[39;00m\n\u001b[0;32m---> 34\u001b[0m forces \u001b[38;5;241m=\u001b[39m \u001b[43mforce_function\u001b[49m\u001b[43m(\u001b[49m\u001b[43mp\u001b[49m\u001b[43m[\u001b[49m\u001b[43m:\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m2\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 36\u001b[0m \u001b[38;5;66;03m# compute the accelerations\u001b[39;00m\n\u001b[1;32m 37\u001b[0m masses \u001b[38;5;241m=\u001b[39m p[:, \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m]\n",
|
|
"Cell \u001b[0;32mIn[32], line 13\u001b[0m, in \u001b[0;36m<lambda>\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 10\u001b[0m epsilon \u001b[38;5;241m=\u001b[39m utils\u001b[38;5;241m.\u001b[39mmean_interparticle_distance(particles)\n\u001b[1;32m 11\u001b[0m \u001b[38;5;66;03m# epsilon = 0.01\u001b[39;00m\n\u001b[0;32m---> 13\u001b[0m force_function \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mlambda\u001b[39;00m x: \u001b[43mutils\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mn_body_forces\u001b[49m\u001b[43m(\u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mG\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mepsilon\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 14\u001b[0m \u001b[38;5;66;03m# force_function = lambda x: 0\u001b[39;00m\n\u001b[1;32m 15\u001b[0m \u001b[38;5;66;03m# force_function = lambda x: utils.n_body_forces_basic(x, G, epsilon)\u001b[39;00m\n\u001b[1;32m 16\u001b[0m \u001b[38;5;66;03m# force_function = lambda x: utils.analytical_forces(x)\u001b[39;00m\n\u001b[1;32m 17\u001b[0m \u001b[38;5;66;03m# force_function = lambda x: utils.mesh_forces_v2(x, G, 135, utils.particle_to_cells_nn)\u001b[39;00m\n\u001b[1;32m 19\u001b[0m sol \u001b[38;5;241m=\u001b[39m integrate(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mrk4\u001b[39m\u001b[38;5;124m\"\u001b[39m, force_function, p0, t_range)\n",
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"File \u001b[0;32m~/Documents/Uni/HS24/Computational Astrophysics/projects/nbody/utils/forces_basic.py:41\u001b[0m, in \u001b[0;36mn_body_forces\u001b[0;34m(particles, G, softening)\u001b[0m\n\u001b[1;32m 38\u001b[0m r_adjusted[i] \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m1\u001b[39m\n\u001b[1;32m 39\u001b[0m num[i] \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m0\u001b[39m\n\u001b[0;32m---> 41\u001b[0m f \u001b[38;5;241m=\u001b[39m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43msum\u001b[49m\u001b[43m(\u001b[49m\u001b[43m(\u001b[49m\u001b[43mnum\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mT\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m/\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mr_adjusted\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mT\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maxis\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m)\u001b[49m \u001b[38;5;241m*\u001b[39m m_current\n\u001b[1;32m 42\u001b[0m forces[i] \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m-\u001b[39m f\n\u001b[1;32m 44\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m i\u001b[38;5;241m!=\u001b[39m \u001b[38;5;241m0\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m i \u001b[38;5;241m%\u001b[39m \u001b[38;5;241m5000\u001b[39m \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m0\u001b[39m:\n",
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"File \u001b[0;32m~/.local/share/virtualenvs/projects-X-9bmgL6/lib/python3.13/site-packages/numpy/_core/fromnumeric.py:2333\u001b[0m, in \u001b[0;36m_sum_dispatcher\u001b[0;34m(a, axis, dtype, out, keepdims, initial, where)\u001b[0m\n\u001b[1;32m 2327\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mPassing `min` or `max` keyword argument when \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 2328\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m`a_min` and `a_max` are provided is forbidden.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 2330\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m _wrapfunc(a, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mclip\u001b[39m\u001b[38;5;124m'\u001b[39m, a_min, a_max, out\u001b[38;5;241m=\u001b[39mout, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n\u001b[0;32m-> 2333\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21m_sum_dispatcher\u001b[39m(a, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, dtype\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, out\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, keepdims\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m,\n\u001b[1;32m 2334\u001b[0m initial\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, where\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m):\n\u001b[1;32m 2335\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m (a, out)\n\u001b[1;32m 2338\u001b[0m \u001b[38;5;129m@array_function_dispatch\u001b[39m(_sum_dispatcher)\n\u001b[1;32m 2339\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21msum\u001b[39m(a, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, dtype\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, out\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, keepdims\u001b[38;5;241m=\u001b[39mnp\u001b[38;5;241m.\u001b[39m_NoValue,\n\u001b[1;32m 2340\u001b[0m initial\u001b[38;5;241m=\u001b[39mnp\u001b[38;5;241m.\u001b[39m_NoValue, where\u001b[38;5;241m=\u001b[39mnp\u001b[38;5;241m.\u001b[39m_NoValue):\n",
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"\u001b[0;31mKeyboardInterrupt\u001b[0m: "
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]
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}
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],
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"source": [
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"## Integration setup - use the n_squared forces for a few timesteps only, to see if the orbits are stable\n",
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"t_orbit = 2 * np.pi * r_inter / v_mean\n",
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"n_steps = int(t_orbit / dt * 5)\n",
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"n_steps = 10\n",
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"t_range = np.arange(0, n_steps*dt, dt)\n",
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"assert t_range.shape[0] == n_steps\n",
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"logger.info(f\"Integration range: {t_range[0]} -> {t_range[-1]}, n_steps: {n_steps}\")\n",
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"\n",
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"# The force function can be interchanged\n",
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"epsilon = utils.mean_interparticle_distance(particles)\n",
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"# epsilon = 0.01\n",
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"\n",
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"force_function = lambda x: utils.n_body_forces(x, G, epsilon)\n",
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"# force_function = lambda x: 0\n",
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"# force_function = lambda x: utils.n_body_forces_basic(x, G, epsilon)\n",
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"# force_function = lambda x: utils.analytical_forces(x)\n",
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"# force_function = lambda x: utils.mesh_forces_v2(x, G, 135, utils.particle_to_cells_nn)\n",
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"\n",
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"sol = integrate(\"rk4\", force_function, p0, t_range)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 2 Axes>"
|
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]
|
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
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{
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"data": {
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
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"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 2 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"### Show the evolution\n",
|
|
"particles_in_time = utils.to_particles_3d(sol)\n",
|
|
"\n",
|
|
"\"\"\"\n",
|
|
"SHOW_N_STATES = 10 # should be even\n",
|
|
"# skip some particles to make the plot more readable\n",
|
|
"SHOW_NTH_PARTICLE = 5\n",
|
|
"## Show the particles in 3D\n",
|
|
"fig, axs = plt.subplots(2, SHOW_N_STATES//2, subplot_kw={'projection': '3d'})\n",
|
|
"\n",
|
|
"for i, ax in enumerate(axs.flat):\n",
|
|
" nth = int(particles_in_time.shape[0] / SHOW_N_STATES) * i\n",
|
|
" p = particles_in_time[nth][::SHOW_NTH_PARTICLE]\n",
|
|
" ax.scatter(p[:,0], p[:,1], p[:,2], cmap='viridis', c=range(p.shape[0]))\n",
|
|
" ax.set_title(f\"t={t_range[nth]:.2g} (step {nth})\")\n",
|
|
"\n",
|
|
"fig.set_size_inches(18, 12)\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"## Show the 2D orbits of selected particles\n",
|
|
"fig, axs = plt.subplots(2, SHOW_N_STATES//2, sharex=True, sharey=True)\n",
|
|
"\n",
|
|
"for i, ax in enumerate(axs.flat):\n",
|
|
" nth = int(particles_in_time.shape[0] / SHOW_N_STATES) * i\n",
|
|
" x = particles_in_time[:,i,0]\n",
|
|
" y = particles_in_time[:,i,1]\n",
|
|
" ax.scatter(x, y, c=range(t_range.size))\n",
|
|
" ax.set_title(f\"particle {nth}\")\n",
|
|
"\n",
|
|
" ax.set_xlabel('x')\n",
|
|
" ax.set_ylabel('y')\n",
|
|
"\n",
|
|
"# Share x and y axis\n",
|
|
"for ax in axs.flat:\n",
|
|
" ax.label_outer()\n",
|
|
"\n",
|
|
"fig.set_size_inches(18, 12)\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"\"\"\"\n",
|
|
"\n",
|
|
"## Show the evolution of the density distrubtion\n",
|
|
"for i in range(particles_in_time.shape[0]):\n",
|
|
" p = particles_in_time[i]\n",
|
|
" utils.particles_plot_2d(p, title=f\"t={t_range[i]:.2g}\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"#### Plot some key quantities of the system as a whole\n",
|
|
"# sol has the shape (n_steps, n_particles*6) where the first 3*n are the positions and the last 3*n are the velocities\n",
|
|
"\n",
|
|
"# kinetic energy\n",
|
|
"energies = np.zeros(n_steps)\n",
|
|
"for i in range(n_steps):\n",
|
|
" p = particles_in_time[i]\n",
|
|
" ke_per_particle = 0.5 * p[:, 6] * np.linalg.norm(p[:,3:6], axis=1)**2\n",
|
|
" # logger.debug(f\"KE: {ke_per_particle.shape}\")\n",
|
|
" k_e = np.sum(ke_per_particle)\n",
|
|
" energies[i] = k_e\n",
|
|
"\n",
|
|
"plt.figure()\n",
|
|
"plt.plot(t_range, energies)\n",
|
|
"plt.title('Kinetic energy')\n",
|
|
"plt.xlabel('Integration time')\n",
|
|
"plt.ylabel('Energy')\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"\n",
|
|
"# radial extrema of the particles - disk surface\n",
|
|
"r_mins = np.zeros(n_steps)\n",
|
|
"r_maxs = np.zeros(n_steps)\n",
|
|
"for i in range(n_steps):\n",
|
|
" p = particles_in_time[i][1:,...] # remove the black hole\n",
|
|
" r = np.linalg.norm(p[:,:3], axis=1)\n",
|
|
" r_mins[i] = np.min(r)\n",
|
|
" r_maxs[i] = np.max(r)\n",
|
|
"\n",
|
|
"plt.figure()\n",
|
|
"plt.plot(t_range, r_mins, label='r_min')\n",
|
|
"plt.plot(t_range, r_maxs, label='r_max')\n",
|
|
"plt.title('Radial extrema')\n",
|
|
"plt.xlabel('Integration time')\n",
|
|
"plt.ylabel('r')\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Full PM solver\n",
|
|
"We now have all the tools to implement the full PM solver:\n",
|
|
"- force computation using mesh\n",
|
|
"- integrator with RK4\n",
|
|
"- estimate for good timesteps"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"15:51:06 - task2 (mesh) - Integration range: 0.0 -> 4780.881052081166, n_steps: 188495\n"
|
|
]
|
|
},
|
|
{
|
|
"ename": "MemoryError",
|
|
"evalue": "Unable to allocate 48.7 GiB for an array with shape (188495, 34699) and data type float64",
|
|
"output_type": "error",
|
|
"traceback": [
|
|
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
|
|
"\u001b[0;31mMemoryError\u001b[0m Traceback (most recent call last)",
|
|
"Cell \u001b[0;32mIn[15], line 11\u001b[0m\n\u001b[1;32m 8\u001b[0m mesh_size \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m50\u001b[39m \u001b[38;5;66;03m# as per the previous discussion\u001b[39;00m\n\u001b[1;32m 9\u001b[0m force_function \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mlambda\u001b[39;00m x: utils\u001b[38;5;241m.\u001b[39mmesh_forces_v2(x, G, mesh_size, utils\u001b[38;5;241m.\u001b[39mparticle_to_cells_nn)\n\u001b[0;32m---> 11\u001b[0m sol \u001b[38;5;241m=\u001b[39m \u001b[43mintegrate\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mrk4\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mforce_function\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mp0\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mt_range\u001b[49m\u001b[43m)\u001b[49m\n",
|
|
"Cell \u001b[0;32mIn[10], line 15\u001b[0m, in \u001b[0;36mintegrate\u001b[0;34m(method, force_function, p0, t_range)\u001b[0m\n\u001b[1;32m 13\u001b[0m sol \u001b[38;5;241m=\u001b[39m spi\u001b[38;5;241m.\u001b[39modeint(y_prime, y0, t_range, rtol\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1e-2\u001b[39m)\n\u001b[1;32m 14\u001b[0m \u001b[38;5;28;01melif\u001b[39;00m method \u001b[38;5;241m==\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mrk4\u001b[39m\u001b[38;5;124m\"\u001b[39m:\n\u001b[0;32m---> 15\u001b[0m sol \u001b[38;5;241m=\u001b[39m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mzeros\u001b[49m\u001b[43m(\u001b[49m\u001b[43m(\u001b[49m\u001b[43mt_range\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mshape\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43my0\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mshape\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 16\u001b[0m sol[\u001b[38;5;241m0\u001b[39m] \u001b[38;5;241m=\u001b[39m y0\n\u001b[1;32m 17\u001b[0m dt \u001b[38;5;241m=\u001b[39m t_range[\u001b[38;5;241m1\u001b[39m] \u001b[38;5;241m-\u001b[39m t_range[\u001b[38;5;241m0\u001b[39m]\n",
|
|
"\u001b[0;31mMemoryError\u001b[0m: Unable to allocate 48.7 GiB for an array with shape (188495, 34699) and data type float64"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"## Integration setup - use the n_squared forces for a few timesteps only, to see if the orbits are stable\n",
|
|
"t_orbit = 2 * np.pi * r_inter / v_mean\n",
|
|
"n_steps = int(t_orbit / dt * 30)\n",
|
|
"t_range = np.arange(0, n_steps*dt, dt)\n",
|
|
"logger.info(f\"Integration range: {t_range[0]} -> {t_range[-1]}, n_steps: {n_steps}\")\n",
|
|
"\n",
|
|
"\n",
|
|
"mesh_size = 50 # as per the previous discussion\n",
|
|
"force_function = lambda x: utils.mesh_forces_v2(x, G, mesh_size, utils.particle_to_cells_nn)\n",
|
|
"\n",
|
|
"sol = integrate(\"rk4\", force_function, p0, t_range)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"## Show some results"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "projects-X-9bmgL6",
|
|
"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": "3.13.1"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|