{ "cells": [ { "cell_type": "markdown", "id": "8a08b76c", "metadata": {}, "source": [ "# First steps with MaRGE3D\n", "\n", "To use the solver, first define the simulation parameters :" ] }, { "cell_type": "code", "execution_count": 1, "id": "d5a0bb45", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from marge3d.params import DaitcheParameters\n", "\n", "particle_density = 1410\n", "fluid_density = 972\n", "particle_radius = 0.0015\n", "kinematic_viscosity = 2 * 1e-4\n", "time_scale = 0.0125\n", "char_vel = 0.4\n", "\n", "par = DaitcheParameters(\n", " particle_density, fluid_density, particle_radius,\n", " kinematic_viscosity, time_scale, char_vel)" ] }, { "cell_type": "markdown", "id": "e751790c", "metadata": {}, "source": [ "All the main problem parameters can be extracted from this `DaitcheParameters` class :" ] }, { "cell_type": "code", "execution_count": 2, "id": "e1270626", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "G = 0.30625\n", "R = 0.7689873417721519\n", "S = 0.3\n" ] } ], "source": [ "print(\"G = \", par.g)\n", "print(\"R = \", par.R)\n", "print(\"S = \", par.S)" ] }, { "cell_type": "markdown", "id": "6d714c65", "metadata": {}, "source": [ "Then, we can define the time-stepping parameter and initial velocity field for the simulation :" ] }, { "cell_type": "code", "execution_count": 3, "id": "c0d91a02", "metadata": {}, "outputs": [], "source": [ "from marge3d.fields import VelocityField3D\n", "\n", "# Time-stepping\n", "T_ini = 0\n", "T_fin = 10\n", "T = T_fin - T_ini\n", "N = 100\n", "\n", "# Initial velocity field\n", "vortex = VelocityField3D(1)\n", "R0 = np.array([1, 0, 0])\n", "W0 = np.array([0, 0, 0])\n", "V0 = vortex.get_velocity(R0[0], R0[1], R0[2], T_ini)" ] }, { "cell_type": "markdown", "id": "99daa417", "metadata": {}, "source": [ "And finally, build the solver using the `Euler` time-integration method ($1^{st}$ order) :" ] }, { "cell_type": "code", "execution_count": 4, "id": "7bd4c444", "metadata": {}, "outputs": [], "source": [ "from marge3d.numeric import NumericalSolver\n", "\n", "order = 1\n", "solver = NumericalSolver(R0, W0, vortex, N, order,\n", " params=par)" ] }, { "cell_type": "markdown", "id": "6d93d770", "metadata": {}, "source": [ "Now, on can simply call the adapted method to run the simulation :" ] }, { "cell_type": "code", "execution_count": 5, "id": "34ab16a1", "metadata": {}, "outputs": [], "source": [ "t_v = np.linspace(T_ini, T_fin, N)\n", "R_x, R_y, R_z, W = solver.Euler(t_v, flag=True)" ] }, { "cell_type": "markdown", "id": "1afda0c6", "metadata": {}, "source": [ "The 3D solution can be plot using Matplotlib :" ] }, { "cell_type": "code", "execution_count": 6, "id": "478a7d20", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "x, y, z = np.meshgrid(\n", " np.linspace(-1.5, 1.5, 5),\n", " np.linspace(-1.5, 1.5, 5),\n", " np.linspace(-0.21, 0, 5)\n", ")\n", "\n", "u, v, w = vortex.get_velocity(x, y, z, T_fin)\n", "\n", "fig = plt.figure()\n", "# size of the figure\n", "fig.set_size_inches(5, 5)\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "# Plot the 3D line\n", "plt.plot(R_x, R_y, R_z, color=\"blue\", label='Numerical solution')\n", "ax.scatter(1, 0, 0, color='green', label='Initial position')\n", "ax.quiver(x, y, z, u, v, w, length=0.25, normalize=True, arrow_length_ratio=0.1, alpha=0.5)\n", "\n", "# Add labels\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z')\n", "\n", "# Add a legend\n", "ax.legend(loc='upper right', bbox_to_anchor=(1, 0.9))\n", "\n", "# Show the plot\n", "ax.set_box_aspect(None, zoom=0.8)" ] } ], "metadata": { "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 5 }