{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Evrards Collapse" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# ==== GPU selection ====\n", "from autocvd import autocvd\n", "autocvd(num_gpus = 1)\n", "# =======================\n", "\n", "# numerics\n", "import jax\n", "import jax.numpy as jnp\n", "\n", "# timing\n", "from timeit import default_timer as timer\n", "\n", "# plotting\n", "import matplotlib.pyplot as plt\n", "from matplotlib.gridspec import GridSpec\n", "\n", "# astronomix classes\n", "from astronomix import SimulationConfig\n", "from astronomix import SimulationParams\n", "from astronomix.option_classes.simulation_config import BoundarySettings, BoundarySettings1D\n", "\n", "# astronomix functions\n", "from astronomix import get_helper_data\n", "from astronomix import time_integration\n", "from astronomix import construct_primitive_state\n", "from astronomix.option_classes.simulation_config import finalize_config\n", "from astronomix import get_registered_variables\n", "\n", "# astronomix constants\n", "from astronomix.option_classes.simulation_config import (\n", " BACKWARDS, FORWARDS, HLL, HLLC, MINMOD, OSHER, \n", " PERIODIC_BOUNDARY, REFLECTIVE_BOUNDARY, \n", " BoundarySettings, BoundarySettings1D\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initiatization" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "👷 Setting up simulation...\n" ] } ], "source": [ "from astronomix.option_classes.simulation_config import DONOR_ACCOUNTING, DOUBLE_MINMOD, HLLC_LM, LAX_FRIEDRICHS, MUSCL, RIEMANN_SPLIT_UNSTABLE, SIMPLE_SOURCE_TERM, SPLIT, VAN_ALBADA, VAN_ALBADA_PP\n", "\n", "\n", "print(\"👷 Setting up simulation...\")\n", "\n", "# simulation settings\n", "gamma = 5/3\n", "\n", "# spatial domain\n", "box_size = 4.0\n", "num_cells = 128\n", "\n", "fixed_timestep = False\n", "dt_max = 0.001\n", "\n", "# setup simulation config\n", "config = SimulationConfig(\n", " runtime_debugging = False,\n", " progress_bar = True,\n", " self_gravity = True,\n", " dimensionality = 3,\n", " box_size = box_size, \n", " num_cells = num_cells,\n", " split = SPLIT,\n", " time_integrator = MUSCL,\n", " fixed_timestep = fixed_timestep,\n", " riemann_solver = HLLC,\n", " limiter = MINMOD,\n", " self_gravity_version = RIEMANN_SPLIT_UNSTABLE,\n", " differentiation_mode = FORWARDS,\n", " boundary_settings = BoundarySettings(\n", " BoundarySettings1D(\n", " left_boundary = REFLECTIVE_BOUNDARY,\n", " right_boundary = REFLECTIVE_BOUNDARY\n", " ),\n", " BoundarySettings1D(\n", " left_boundary = REFLECTIVE_BOUNDARY,\n", " right_boundary = REFLECTIVE_BOUNDARY\n", " ),\n", " BoundarySettings1D(\n", " left_boundary = REFLECTIVE_BOUNDARY,\n", " right_boundary = REFLECTIVE_BOUNDARY\n", " )\n", " )\n", ")\n", "\n", "helper_data = get_helper_data(config)\n", "\n", "params = SimulationParams(\n", " t_end = 0.8,\n", " C_cfl = 0.4,\n", " dt_max = dt_max,\n", ")\n", "\n", "registered_variables = get_registered_variables(config)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting the initial state" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Injected mass: 1.0016810894012451\n" ] } ], "source": [ "from astronomix.fluid_equations.fluid import construct_primitive_state3D\n", "\n", "R = 1.0\n", "M = 1.0\n", "\n", "dx = config.box_size / (config.num_cells - 1)\n", "\n", "# initialize density field\n", "num_injection_cells = jnp.sum(helper_data.r <= R)\n", "rho = jnp.where(helper_data.r <= R, M / (2 * jnp.pi * R ** 2 * helper_data.r), 1e-4)\n", "\n", "total_injected_mass = jnp.sum(jnp.where(helper_data.r <= R, rho, 0)) * dx ** 3\n", "print(f\"Injected mass: {total_injected_mass}\")\n", "\n", "# better ball edges\n", "# overlap_weights = (R + dx / 2 - helper_data.r) / dx\n", "# rho = jnp.where((helper_data.r > R - dx / 2) & (helper_data.r < R + dx / 2), rho * overlap_weights, rho)\n", "\n", "# Initialize velocity fields to zero\n", "v_x = jnp.zeros_like(rho)\n", "v_y = jnp.zeros_like(rho)\n", "v_z = jnp.zeros_like(rho)\n", "\n", "# initial thermal energy per unit mass = 0.05\n", "e = 0.05\n", "p = (gamma - 1) * rho * e\n", "\n", "# Construct the initial primitive state for the 3D simulation.\n", "initial_state = construct_primitive_state(\n", " config = config,\n", " registered_variables = registered_variables,\n", " density = rho,\n", " velocity_x = v_x,\n", " velocity_y = v_y,\n", " velocity_z = v_z,\n", " gas_pressure = p\n", ")\n", "\n", "# sharding\n", "# actually leads to a slow down, to fix\n", "# from jax.sharding import PartitionSpec as P, NamedSharding\n", "# sharding_mesh = jax.make_mesh((1, 2, 2, 1), ('variables', 'x', 'y', 'z'))\n", "# initial_state = jax.device_put(initial_state, NamedSharding(sharding_mesh, P('variables', 'x', 'y', 'z')))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Consider using RIEMANN_SPLIT as the self_gravity_version.\n" ] } ], "source": [ "config = finalize_config(config, initial_state.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " |████████████████████████████████████████████████████████████████████| 100.0% \n" ] } ], "source": [ "final_state = time_integration(initial_state, config, params, registered_variables)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cut" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'y')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.colors import LogNorm\n", "\n", "a = num_cells // 2 - 30\n", "b = num_cells // 2 + 30\n", "\n", "c = num_cells // 2 + 20\n", "d = num_cells // 2 + 50\n", "\n", "plt.imshow(jnp.abs(final_state[registered_variables.pressure_index, :, :, num_cells // 2].T), cmap = \"jet\", origin = \"lower\", extent=[0, box_size, 0, box_size], norm = LogNorm())\n", "plt.colorbar()\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the radial density profile rho over r in a log-log plot\n", "\n", "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 4))\n", "\n", "ax1.scatter(helper_data.r.flatten(), final_state[registered_variables.density_index].flatten(), label=\"Final Density\", s = 1)\n", "# x and y log scale\n", "ax1.set_xscale(\"log\")\n", "ax1.set_yscale(\"log\")\n", "ax1.set_xlim(1e-2, 6e-1)\n", "ax1.set_ylim(1e-2, 1e3)\n", "ax1.set_xlabel(\"r\")\n", "ax1.set_ylabel(\"Density\")\n", "\n", "# velocity profile\n", "v_r = -jnp.sqrt(final_state[registered_variables.velocity_index.x] ** 2 + final_state[registered_variables.velocity_index.y] ** 2 + final_state[registered_variables.velocity_index.z] ** 2)\n", "\n", "ax2.scatter(helper_data.r.flatten(), v_r.flatten(), label=\"Radial Velocity\", s = 1)\n", "# log x scale\n", "ax2.set_xscale(\"log\")\n", "ax2.set_xlim(1e-2, 6e-1)\n", "ax2.set_xlabel(\"r\")\n", "ax2.set_ylabel(\"Velocity\")\n", "\n", "# plot P / rho^gamma\n", "\n", "ax3.scatter(helper_data.r.flatten(), final_state[registered_variables.pressure_index].flatten() / final_state[registered_variables.density_index].flatten() ** gamma, label=\"P / rho^gamma\", s = 1)\n", "# ax3.set_xlim(box_size / num_cells, 6e-1)\n", "ax3.set_xlabel(\"r\")\n", "ax3.set_ylabel(\"Pressure / rho^gamma\")\n", "ax3.set_xscale(\"log\")\n", "ax3.set_xlim(1e-2, 6e-1)\n", "\n", "fig.suptitle(\"3D Collapse Test\")\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conservational properties" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " |████████████████████████████████████████████████████████████████████| 100.0% \n" ] } ], "source": [ "config = config._replace(return_snapshots = True, num_snapshots = 60)\n", "params = params._replace(t_end = 3.0)\n", "\n", "snapshots = time_integration(initial_state, config, params, registered_variables)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "total_energy = snapshots.total_energy\n", "internal_energy = snapshots.internal_energy\n", "kinetic_energy = snapshots.kinetic_energy\n", "gravitational_energy = snapshots.gravitational_energy\n", "total_mass = snapshots.total_mass\n", "time = snapshots.time_points" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_end = 3.0\n", "plt.plot(time, total_energy, label=\"Total Energy\", color = \"black\")\n", "plt.plot(time, internal_energy, label=\"Internal Energy\", color = \"green\")\n", "plt.plot(time, kinetic_energy, label=\"Kinetic Energy\", color = \"red\")\n", "plt.plot(time, gravitational_energy, label=\"Gravitational Energy\", color = \"blue\")\n", "plt.xlabel(\"Time\")\n", "plt.ylabel(\"Energy\")\n", "plt.legend()\n", "\n", "plt.savefig(\"collapse_conservation.svg\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.animation as animation\n", "\n", "fig, ax = plt.subplots()\n", "\n", "def animate(i):\n", " ax.clear()\n", " state = snapshots.states[i]\n", " im = ax.imshow(state[0, :, :, num_cells // 2].T, cmap=\"jet\", origin=\"lower\", extent=[0, box_size, 0, box_size], norm=LogNorm())\n", " ax.set_xlabel(\"x\")\n", " ax.set_ylabel(\"y\")\n", " ax.set_title(f\"Density at time {time[i]:.2f}\")\n", " return [im]\n", "\n", "ani = animation.FuncAnimation(fig, animate, frames=len(snapshots.states), interval=100, blit=True)\n", "plt.colorbar(ax.imshow(snapshots.states[0][0, :, :, num_cells // 2].T, cmap=\"jet\", origin=\"lower\", extent=[0, box_size, 0, box_size], norm=LogNorm()), ax=ax)\n", "# save to gif\n", "ani.save(\"3d_collapse.gif\")" ] } ], "metadata": { "kernelspec": { "display_name": "f1uids", "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": "3.10.15" } }, "nbformat": 4, "nbformat_minor": 2 }