{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SxheI9KkPF3D"
      },
      "source": [
        "# Jet in astronomix"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fwKNzezpT1Yb"
      },
      "source": [
        "## Imports"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "bZQxDqwjKcpu"
      },
      "outputs": [],
      "source": [
        "# ==== GPU selection ====\n",
        "from autocvd import autocvd\n",
        "autocvd(num_gpus = 1)\n",
        "# ruff: noqa: E402\n",
        "# =======================\n",
        "\n",
        "# general\n",
        "import jax.numpy as jnp\n",
        "\n",
        "# astronomix constants\n",
        "from astronomix import (\n",
        "    PERIODIC_BOUNDARY,\n",
        ")\n",
        "\n",
        "# astronomix containers\n",
        "from astronomix import (\n",
        "    SimulationConfig,\n",
        "    SimulationParams,\n",
        "    BoundarySettings,\n",
        "    BoundarySettings1D,\n",
        "    SnapshotSettings,\n",
        ")\n",
        "\n",
        "# astronomix functions\n",
        "from astronomix import (\n",
        "    get_registered_variables,\n",
        "    construct_primitive_state,\n",
        "    time_integration,\n",
        "    finalize_config,\n",
        "    setup_magnetic_fields_from_vector_potential,\n",
        ")\n",
        "\n",
        "# plotting\n",
        "import matplotlib.pyplot as plt\n",
        "import matplotlib.animation as animation\n",
        "from IPython.display import HTML"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kYaOj5N2T9SN"
      },
      "source": [
        "## Setup simulation"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "iyx0rUp7KZ5W",
        "outputId": "6b419755-066e-4d15-fba1-f2431bec8dc7"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "OPTIMAL_BACKEND: using the PALLAS backend (GPU compute capability >= 8.0).\n",
            "For 3D simulations with periodic boundaries, setting boundary handling to PERIODIC_ROLL and num_ghost_cells to 0 for better performance.\n",
            "Setting time integrator to RK4_SSP for finite difference solver mode.\n"
          ]
        }
      ],
      "source": [
        "gamma = 5/3\n",
        "\n",
        "box_size = 24.0\n",
        "num_cells = 64\n",
        "grid_spacing = box_size / num_cells\n",
        "x_center = box_size / 2.0\n",
        "y_center = box_size / 2.0\n",
        "z_center = box_size / 2.0\n",
        "\n",
        "config = SimulationConfig(\n",
        "    grid_spacing = grid_spacing,\n",
        "    mhd = True,\n",
        "    progress_bar = True,\n",
        "    dimensionality = 3,\n",
        "    box_size = box_size,\n",
        "    num_cells = num_cells,\n",
        "    boundary_settings = BoundarySettings(\n",
        "        BoundarySettings1D(\n",
        "            left_boundary = PERIODIC_BOUNDARY,\n",
        "            right_boundary = PERIODIC_BOUNDARY\n",
        "        ),\n",
        "        BoundarySettings1D(\n",
        "            left_boundary = PERIODIC_BOUNDARY,\n",
        "            right_boundary = PERIODIC_BOUNDARY\n",
        "        ),\n",
        "        BoundarySettings1D(\n",
        "            left_boundary = PERIODIC_BOUNDARY,\n",
        "            right_boundary = PERIODIC_BOUNDARY\n",
        "        )\n",
        "    ),\n",
        "    return_snapshots = True,\n",
        "    num_snapshots = 100,\n",
        "    snapshot_settings = SnapshotSettings(\n",
        "      return_states=True,\n",
        "      return_final_state=True,\n",
        "      return_magnetic_divergence=True\n",
        "    ),\n",
        ")\n",
        "\n",
        "registered_variables = get_registered_variables(config)\n",
        "\n",
        "C_CFL = 1.5\n",
        "\n",
        "rho_0 = 1.0\n",
        "p_0 = 1.0\n",
        "\n",
        "# define the vector potential function\n",
        "def jet_vector_potential(X, Y, Z):\n",
        "    r = jnp.sqrt((X - x_center)**2 + (Y - y_center)**2 + (Z - z_center)**2)\n",
        "    A0 = 20.0\n",
        "\n",
        "    A_x = -jnp.exp(-r ** 2) * (Y - y_center)\n",
        "    A_y = jnp.exp(-r ** 2) * (X - x_center)\n",
        "    A_z = 0.5 * A0 * jnp.exp(-r ** 2)\n",
        "\n",
        "    return A_x, A_y, A_z\n",
        "\n",
        "# init b fields from vector potential\n",
        "B_x, B_y, B_z, bxb, byb, bzb = setup_magnetic_fields_from_vector_potential(\n",
        "    config=config,\n",
        "    vector_potential_func=jet_vector_potential\n",
        ")\n",
        "\n",
        "# Set up primitive hydro arrays\n",
        "rho = jnp.ones((config.num_cells, config.num_cells, config.num_cells)) * rho_0\n",
        "u_x = jnp.zeros((config.num_cells, config.num_cells, config.num_cells))\n",
        "u_y = jnp.zeros((config.num_cells, config.num_cells, config.num_cells))\n",
        "u_z = jnp.zeros((config.num_cells, config.num_cells, config.num_cells))\n",
        "p = jnp.ones((config.num_cells, config.num_cells, config.num_cells)) * p_0\n",
        "\n",
        "# simulation params\n",
        "params = SimulationParams(\n",
        "    C_cfl = C_CFL,\n",
        "    t_end = 5.0,\n",
        "    gamma = gamma,\n",
        ")\n",
        "\n",
        "# construct primitive state\n",
        "initial_state = construct_primitive_state(\n",
        "    config = config,\n",
        "    registered_variables=registered_variables,\n",
        "    density = rho,\n",
        "    velocity_x = u_x,\n",
        "    velocity_y = u_y,\n",
        "    velocity_z = u_z,\n",
        "    gas_pressure = p,\n",
        "    magnetic_field_x = B_x,\n",
        "    magnetic_field_y = B_y,\n",
        "    magnetic_field_z = B_z,\n",
        "    interface_magnetic_field_x = bxb,\n",
        "    interface_magnetic_field_y = byb,\n",
        "    interface_magnetic_field_z = bzb,\n",
        ")\n",
        "\n",
        "config = finalize_config(config, initial_state.shape)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cQp7wdrrUAEn"
      },
      "source": [
        "## Run the simulation"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "colab": {
          "background_save": true
        },
        "id": "ZFDl60IgSr5K",
        "outputId": "c7f1933b-10d8-463e-e5db-60dcf076989e"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            " |████████████████████████████████████████████████████████████████████| 100.0%  \n"
          ]
        }
      ],
      "source": [
        "result = time_integration(initial_state, config, params, registered_variables)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BObkRwpMUOtD"
      },
      "source": [
        "## Animate the result"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "colab": {
          "background_save": true
        },
        "id": "V8c3Y-o5Taru"
      },
      "outputs": [
        {
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              "MkcMdL8AAAAASUVORK5CYII=\\\n",
              "\"\n",
              "\n",
              "\n",
              "    /* set a timeout to make sure all the above elements are created before\n",
              "       the object is initialized. */\n",
              "    setTimeout(function() {\n",
              "        animef316bc03aa340808901e777525b0469 = new Animation(frames, img_id, slider_id, 50.0,\n",
              "                                 loop_select_id);\n",
              "    }, 0);\n",
              "  })()\n",
              "</script>\n"
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# what we want to plot\n",
        "y_index = num_cells // 2\n",
        "density_slices = result.states[:, registered_variables.density_index, :, y_index, :]\n",
        "\n",
        "fig_anim, ax_anim = plt.subplots(1, 1, figsize=(6, 6))\n",
        "\n",
        "# init image\n",
        "current_slice = density_slices[0, :, :].T\n",
        "img = ax_anim.imshow(current_slice, cmap=\"YlOrRd\", origin='lower')\n",
        "ax_anim.set_title(\"Density Slice Animation\")\n",
        "ax_anim.set_xlabel(\"X-axis\")\n",
        "ax_anim.set_ylabel(\"Z-axis\")\n",
        "\n",
        "# update image\n",
        "def update(frame):\n",
        "    current_slice = density_slices[frame, :, :].T\n",
        "    img.set_array(current_slice)\n",
        "    img.set_clim(current_slice.min(), current_slice.max())\n",
        "    ax_anim.set_title(f\"Density Slice Animation\")\n",
        "    return [img]\n",
        "\n",
        "# create anim\n",
        "ani = animation.FuncAnimation(\n",
        "    fig_anim,\n",
        "    update,\n",
        "    frames=density_slices.shape[0],\n",
        "    blit=True,\n",
        "    interval=50 # mills between frames\n",
        ")\n",
        "\n",
        "fig_anim.tight_layout()\n",
        "plt.close(fig_anim)\n",
        "\n",
        "HTML(ani.to_jshtml())"
      ]
    }
  ],
  "metadata": {
    "accelerator": "GPU",
    "colab": {
      "gpuType": "A100",
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "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": "3.10.18"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}