{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Conservational Properties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# 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", "# jf1uids\n", "from jf1uids import SimulationConfig\n", "from jf1uids import get_helper_data\n", "from jf1uids import SimulationParams\n", "from jf1uids import time_integration\n", "from jf1uids.fluid_equations.fluid import construct_primitive_state\n", "from jf1uids import get_registered_variables\n", "from jf1uids._physics_modules._stellar_wind.stellar_wind_options import WindConfig\n", "from jf1uids.option_classes.simulation_config import SPHERICAL\n", "from jf1uids.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": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "For spherical geometry, only HLL is currently supported.\n", "Automatically setting reflective left and open right boundary for spherical geometry.\n", "For spherical geometry, only HLL is currently supported.\n", "Automatically setting reflective left and open right boundary for spherical geometry.\n", "For spherical geometry, only HLL is currently supported.\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, helper_data_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, helper_data_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, helper_data_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": [ "0.3022632272914052\n", "0.1663536773994565\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 (jf1uids, N = 101)\")\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 (jf1uids, 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(\"jf1uids 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 }