{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Conservational Properties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": null, "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", "from jax import grad\n", "\n", "# 64-bit precision\n", "jax.config.update(\"jax_enable_x64\", True)\n", "\n", "# plotting\n", "import matplotlib.pyplot as plt\n", "from matplotlib.gridspec import GridSpec\n", "\n", "# astronomix\n", "from astronomix import SimulationConfig\n", "from astronomix import get_helper_data\n", "from astronomix import SimulationParams\n", "from astronomix import time_integration\n", "from astronomix import construct_primitive_state\n", "from astronomix import get_registered_variables\n", "from astronomix._physics_modules._stellar_wind.stellar_wind_options import WindConfig\n", "from astronomix.option_classes.simulation_config import SPHERICAL\n", "from astronomix.option_classes.simulation_config import finalize_config" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initiating the stellar wind simulation" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "👷 Setting up simulation...\n" ] } ], "source": [ "print(\"👷 Setting up simulation...\")\n", "\n", "# simulation settings\n", "gamma = 5/3\n", "\n", "# spatial domain\n", "geometry = SPHERICAL\n", "box_size = 1.0\n", "num_cells = 101\n", "\n", "fixed_timestep = False\n", "\n", "return_snapshots = True\n", "num_snapshots = 40\n", "\n", "# activate stellar wind\n", "stellar_wind = False\n", "\n", "# setup simulation config\n", "config = SimulationConfig(\n", " geometry = geometry,\n", " box_size = box_size, \n", " num_cells = num_cells,\n", " wind_config = WindConfig(\n", " stellar_wind = stellar_wind,\n", " ),\n", " fixed_timestep = fixed_timestep,\n", " return_snapshots = return_snapshots,\n", " num_snapshots = num_snapshots\n", ")\n", "\n", "helper_data = get_helper_data(config)\n", "registered_variables = get_registered_variables(config)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting the simulation parameters and initial state" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# time domain\n", "dt_max = 0.1\n", "C_CFL = 0.8\n", "t_end = 0.2\n", "\n", "# SOD shock tube\n", "shock_pos = 0.5\n", "\n", "r = helper_data.geometric_centers\n", "\n", "rho = jnp.where(r < shock_pos, 1.0, 0.125)\n", "u = jnp.zeros_like(r)\n", "p = jnp.where(r < shock_pos, 1.0, 0.1)\n", "\n", "# get initial state\n", "initial_state = construct_primitive_state(\n", " config = config,\n", " registered_variables = registered_variables,\n", " density = rho,\n", " velocity_x = u,\n", " gas_pressure = p\n", ")\n", "\n", "params = SimulationParams(C_cfl = C_CFL, dt_max = dt_max, gamma = gamma, t_end = t_end)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conservation test of the simulation" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "For spherical geometry, only HLL is currently supported. Also, only the unsplit mode has been tested.\n", "Setting unsplit mode for spherical geometry\n", "Setting MUSCL time integrator for spherical geometry\n", "Automatically setting reflective left and open right boundary for spherical geometry.\n", "For spherical geometry, only HLL is currently supported. Also, only the unsplit mode has been tested.\n", "Setting unsplit mode for spherical geometry\n", "Setting MUSCL time integrator for spherical geometry\n", "Automatically setting reflective left and open right boundary for spherical geometry.\n", "For spherical geometry, only HLL is currently supported. Also, only the unsplit mode has been tested.\n", "Setting unsplit mode for spherical geometry\n", "Setting MUSCL time integrator for spherical geometry\n", "Automatically setting reflective left and open right boundary for spherical geometry.\n" ] } ], "source": [ "\n", "def init_shock_problem(num_cells, config, params, first_order_fallback = False):\n", " config = config._replace(num_cells = num_cells, grid_spacing = config.box_size / (num_cells - 1), first_order_fallback = first_order_fallback)\n", " params = params._replace(dt_max = dt_max)\n", " helper_data = get_helper_data(config)\n", " r = helper_data.geometric_centers\n", " rho = jnp.where(r < shock_pos, 1.0, 0.125)\n", " u = jnp.zeros_like(r)\n", " p = jnp.where(r < shock_pos, 1.0, 0.1)\n", "\n", " # get initial state\n", " initial_state = construct_primitive_state(\n", " config = config,\n", " registered_variables = registered_variables,\n", " density = rho,\n", " velocity_x = u,\n", " gas_pressure = p\n", " )\n", "\n", " config = finalize_config(config, initial_state.shape)\n", "\n", " return initial_state, config, params, helper_data\n", "\n", "initial_state_shock100, config_shock100, params_shock100, helper_data_shock100 = init_shock_problem(101, config, params)\n", "checkpoints_shock100 = time_integration(initial_state_shock100, config_shock100, params_shock100, registered_variables)\n", "\n", "initial_state_shock100_first_order, config_shock100_first_order, params_shock100_first_order, helper_data_shock100_first_order = init_shock_problem(101, config, params, True)\n", "checkpoints_shock100_first_order = time_integration(initial_state_shock100_first_order, config_shock100_first_order, params_shock100_first_order, registered_variables)\n", "\n", "initial_state_shock, config_shock, params_shock, helper_data_shock = init_shock_problem(2001, config, params, True)\n", "checkpoints_shock2000 = time_integration(initial_state_shock, config_shock, params_shock, registered_variables)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization of the mass and energy development" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.00000000e+00 0.00000000e+00 1.11287917e-14 1.11287917e-14\n", " 2.22575833e-14 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", " 2.22575833e-14 0.00000000e+00 1.11287917e-14 0.00000000e+00\n", " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", " 0.00000000e+00 -1.11287917e-14 -1.11287917e-14 0.00000000e+00\n", " -1.11287917e-14 -1.11287917e-14 -1.11287917e-14 -1.11287917e-14\n", " -1.11287917e-14 -1.11287917e-14 -2.22575833e-14 -2.22575833e-14\n", " -2.22575833e-14 -2.22575833e-14 -2.22575833e-14 -2.22575833e-14\n", " -2.22575833e-14 -2.22575833e-14 -2.22575833e-14 -2.22575833e-14\n", " -4.45151666e-14 -3.33863750e-14 -3.33863750e-14 -4.45151666e-14]\n", "0.0\n", "0.0\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "relative_mass_error = (checkpoints_shock100.total_mass - checkpoints_shock100.total_mass[0]) / checkpoints_shock100.total_mass[0] * 100\n", "relative_energy_error = (checkpoints_shock100.total_energy - checkpoints_shock100.total_energy[0]) / checkpoints_shock100.total_energy[0] * 100\n", "\n", "fig = plt.figure(figsize=(10, 5))\n", "gs = GridSpec(2, 2, figure=fig)\n", "\n", "gs.update(wspace=0.3, hspace=0.1)\n", "\n", "ax1 = fig.add_subplot(gs[:, 0]) # Left plot spanning both rows\n", "ax2 = fig.add_subplot(gs[0, 1]) # Top-right plot\n", "ax3 = fig.add_subplot(gs[1, 1]) # Bottom-right plot\n", "\n", "ax2.plot(checkpoints_shock100.time_points, relative_mass_error, \"o--\", label=\"mass residual (astronomix, N = 101)\")\n", "print(relative_mass_error)\n", "\n", "ax3.set_xlabel(\"time\")\n", "ax2.legend(loc = \"upper left\")\n", "\n", "ax2.set_ylabel(\"relative error in %\")\n", "\n", "ax2.yaxis.set_label_coords(-0.15, 0.5)\n", "\n", "ax2.plot(checkpoints_shock100.time_points, relative_energy_error, \"o--\", label=\"energy residual (astronomix, N = 101)\")\n", "\n", "ax2.legend(loc = \"lower left\")\n", "ax2.set_title(\"conservation of mass and energy\\n(dx = 0.01)\")\n", "ax2.set_xticklabels([])\n", "ax2.set_xlim(0, 0.2)\n", "ax3.set_xlim(0, 0.2)\n", "\n", "# less x ticks\n", "ax3.set_xticks([0.0, 0.05, 0.1, 0.15, 0.2])\n", "ax2.set_xticks([0.0, 0.05, 0.1, 0.15, 0.2])\n", "\n", "sod_error = jnp.load(\"../data/sod_errors.npy\")\n", "times_jaxfluids, mass_errors_jaxfluids, energy_errors_jaxfluids = sod_error\n", "ax3.plot(times_jaxfluids, mass_errors_jaxfluids, \"o--\", label=\"mass residual (jaxfluids)\")\n", "ax3.plot(times_jaxfluids, energy_errors_jaxfluids, \"o--\", label=\"energy residual (jaxfluids)\")\n", "ax3.set_ylim(1e-2, 0.2)\n", "\n", "ax3.set_ylabel(\"relative error in %\")\n", "\n", "ax3.tick_params(axis='y')\n", "\n", "ax3.set_yscale(\"log\")\n", "ax2.set_yscale(\"symlog\")\n", "ax2.set_ylim(-4e-14, 4e-14)\n", "\n", "ax3.legend(loc = \"lower right\")\n", "\n", "ax1.plot(helper_data_shock100.volumetric_centers, checkpoints_shock100.states[-1,0,:], label=\"N = 101 cells (2nd order)\")\n", "ax1.plot(helper_data_shock100_first_order.volumetric_centers, checkpoints_shock100_first_order.states[-1,0,:], label=\"N = 101 cells (1st order)\")\n", "ax1.plot(helper_data_shock.volumetric_centers, checkpoints_shock2000.states[-1,0,:], label=\"N = 2001 cells (2nd order)\")\n", "\n", "ax1.set_title(\"astronomix density profiles at t = 0.2\")\n", "\n", "# also plot the initial state in -- for reference\n", "ax1.plot(helper_data_shock100.volumetric_centers, initial_state_shock100[0], \"--\", label=\"initial state\")\n", "\n", "ax1.set_xlabel(\"volumetric cell centers\")\n", "ax1.set_ylabel(\"density\")\n", "\n", "ax1.legend(loc = \"upper right\")\n", "\n", "print(checkpoints_shock100.runtime)\n", "print(checkpoints_shock2000.runtime)\n", "\n", "plt.savefig(\"../figures/conservational_properties.png\")" ] } ], "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 }