{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Fluid Simulation with Cosmic Rays" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import jax.numpy as jnp\n", "import matplotlib.pyplot as plt\n", "\n", "from jf1uids.option_classes.simulation_config import SPHERICAL\n", "from jf1uids import SimulationConfig\n", "from jf1uids import SimulationParams\n", "from jf1uids import get_helper_data\n", "from jf1uids.fluid_equations.fluid import construct_primitive_state\n", "from jf1uids import get_registered_variables\n", "from jf1uids.option_classes.simulation_config import finalize_config\n", "\n", "\n", "from jf1uids import time_integration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us set up a very simple simulation, mostly with default parameters - except for the inclusion of Cosmic Rays." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from jf1uids.option_classes.simulation_config import HLL\n", "\n", "\n", "config = SimulationConfig(\n", " geometry = SPHERICAL,\n", " num_cells = 1001,\n", " simplified_cosmic_rays = True,\n", " riemann_solver = HLL\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we setup the simulation parameters, things we might vary" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "params = SimulationParams(\n", " t_end = 0.2 # the typical value for a shock test\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this we generate some helper data, like the cell centers etc." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "helper_data = get_helper_data(config)\n", "registered_variables = get_registered_variables(config)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we setup the shock initial conditions" ] }, { "cell_type": "code", "execution_count": 5, "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" ] } ], "source": [ "shock_pos = 0.5\n", "r = helper_data.geometric_centers\n", "rho = jnp.where(r < shock_pos, 1.0, 0.2)\n", "u = jnp.zeros_like(r)\n", "p_gas = jnp.where(r < shock_pos, 2.0, 0.02)\n", "\n", "# cosmic ray setup\n", "p_cr = jnp.where(r < shock_pos, 1.0, 0.1)\n", "gamma_cr = 4/3\n", "n_cr = p_cr ** (1/gamma_cr)\n", "\n", "# get initial state\n", "initial_state = construct_primitive_state(\n", " registered_variables = registered_variables,\n", " config = config,\n", " density = rho,\n", " velocity_x = u,\n", " gas_pressure = p_gas,\n", " cosmic_ray_pressure = p_cr\n", ")\n", "\n", "config = finalize_config(config, initial_state.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running the simulation" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "final_state = time_integration(initial_state, config, params, helper_data, registered_variables)\n", "rho_final = final_state[registered_variables.density_index]\n", "u_final = final_state[registered_variables.velocity_index]\n", "p_final = final_state[registered_variables.pressure_index]\n", "n_cr_final = final_state[registered_variables.cosmic_ray_n_index]\n", "p_cr_final = n_cr_final ** gamma_cr\n", "p_gas_final = p_final - p_cr_final" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualization" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(2, 3, figsize=(15, 5))\n", "\n", "axs[0, 0].plot(r, rho, label='initial')\n", "axs[1, 0].plot(r, rho_final, label='final')\n", "axs[0, 0].set_title('Density')\n", "axs[0, 0].legend()\n", "axs[1, 0].legend()\n", "\n", "axs[0, 1].plot(r, u, label='initial')\n", "axs[1, 1].plot(r, u_final, label='final')\n", "axs[0, 1].set_title('Velocity')\n", "axs[0, 1].legend()\n", "axs[1, 1].legend()\n", "\n", "axs[0, 2].plot(r, p_gas, label='initial, gas')\n", "axs[0, 2].plot(r, p_gas + p_cr, label='initial, total')\n", "axs[1, 2].plot(r, p_final, label='final, total')\n", "axs[0, 2].plot(r, p_cr, label='initial, CRs')\n", "axs[1, 2].plot(r, p_cr_final, label='final, CRs')\n", "axs[1, 2].plot(r, p_gas_final, label='final, gas')\n", "\n", "axs[0, 2].set_title('Pressure')\n", "axs[0, 2].legend()\n", "axs[1, 2].legend()" ] } ], "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 }