{ "cells": [ { "cell_type": "markdown", "id": "fb816dd1-6a72-41b4-8f01-82ac8ac2a985", "metadata": {}, "source": [ "# 1D wave equation\n", "\n", "Written by Ali A. Eftekhari\n", "\n", "- Last checked: June 2021\n", "- Ported to Python by Gavin M. Weir, June 2023\n", "- Update by M. H. V. Werts, October 2025" ] }, { "cell_type": "markdown", "id": "38647a27-4b6a-491c-a523-143d03b0463a", "metadata": {}, "source": [ "## PDE and boundary conditions\n", "\n", "The homogeneous wave equation reads\n", "\n", "$$\\frac{\\partial^2 c}{\\partial t^2} = u^2 \\frac{\\partial^2 c}{\\partial x^2},$$\n", "\n", "where $c$ is the independent variable (displacement, concentration, temperature, etc), $u$ is the characteristic velocity.\n", " \n", "The inhomogeneous wave equation with initial conditions on the value and derivative of the concentration takes the form \n", " \n", "$$\\frac{\\partial^2 c\\left(x,t\\right)}{\\partial t^2} - u^2 \\frac{\\partial^2 c\\left(x,t\\right)}{\\partial x^2} = s\\left(x,t\\right)$$\n", "\n", "$$c\\left(x, 0\\right) = f\\left(x\\right)$$\n", "\n", "$$\\frac{\\partial c}{\\partial t}\\left(x, 0\\right) = g\\left(x\\right)$$\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "0ac8adc8", "metadata": {}, "outputs": [], "source": [ "import pyfvtool as pf\n", "import numpy as np\n", "\n", "# for animation and visualization\n", "import matplotlib.pyplot as plt\n", "from matplotlib.animation import FuncAnimation" ] }, { "cell_type": "code", "execution_count": 2, "id": "095932d4-dfe4-4575-933c-26f3aec19d19", "metadata": {}, "outputs": [], "source": [ "def c(x):\n", " return x*x\n", "\n", "def dc(x):\n", " return 2.0*x" ] }, { "cell_type": "code", "execution_count": 3, "id": "6bc2df3a-c7c1-4398-af9f-1069d0551e3c", "metadata": {}, "outputs": [], "source": [ "Lx = float(1.0) # length of domain\n", "Nx = int(200) # number of cells in domain\n", "dx = Lx/Nx # step-size in uniform 1d grid\n", "m = pf.Grid1D(Nx, Lx) # 1D domain" ] }, { "cell_type": "code", "execution_count": 4, "id": "fb89667a-6d47-48bf-840a-08e20fe8d374", "metadata": {}, "outputs": [], "source": [ "x_face=m.facecenters.x # face positions\n", "x_cell=m.cellcenters.x # node positions" ] }, { "cell_type": "code", "execution_count": 5, "id": "ac30e8a1-6f69-4e8c-909a-0c852de46c32", "metadata": {}, "outputs": [], "source": [ "# initial value on grid\n", "u0 = np.abs(np.sin(x_cell/Lx*10*np.pi))\n", "\n", "# Velocity on grid nodes (cell centers)\n", "u = pf.CellVariable(m, u0);" ] }, { "cell_type": "code", "execution_count": 6, "id": "c1e12a96-364d-441a-8853-97e2c3e3580f", "metadata": {}, "outputs": [], "source": [ "# Boundary conditions\n", "u.BCs.left.periodic = True\n", "u.BCs.right.periodic = True" ] }, { "cell_type": "code", "execution_count": 7, "id": "96c42f2f-a943-4701-9602-3cbe124d2a93", "metadata": {}, "outputs": [], "source": [ "# Initialize the face concenrtation values and their derivatives at the faces \n", "c_face = pf.FaceVariable(m, 0.0) # concentration values\n", "c_face.xvalue = c(x_face) " ] }, { "cell_type": "code", "execution_count": 8, "id": "ae4a7adb-f3d7-4a4b-8e04-c3b344807dc2", "metadata": {}, "outputs": [], "source": [ "# concentration derivative\n", "dc_cell = pf.CellVariable(m, dc(x_cell)) " ] }, { "cell_type": "code", "execution_count": 9, "id": "c9561c70-2fcc-4879-a3b7-6fc3344aa809", "metadata": {}, "outputs": [], "source": [ "dt = 0.1 # time-step for calculations" ] }, { "cell_type": "code", "execution_count": 10, "id": "8692a4cc-be7b-4dab-a213-7f55d20f1854", "metadata": {}, "outputs": [], "source": [ "ui = [u.copy()] # store initial condition\n", "for ii in range(2000): \n", " # Solve the PDE, single time step\n", " pf.solvePDE(u, [ pf.transientTerm(u, dt, 1.0),\n", " pf.convectionUpwindTerm(c_face),\n", " -pf.linearSourceTerm(dc_cell)])\n", " # Store solution at next index\n", " ui.append(u.copy()) # It is essential to COPY the CellVariable\n", " # if the current values need to be conserved for the future.\n", " # Each call to solvePDE() replaces the values in the original\n", " # CellVariable." ] }, { "cell_type": "code", "execution_count": 11, "id": "de25deb3", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plotting and visualization of the 1D wave equation solution \n", "\n", "hfig1, ax1 = plt.subplots()\n", "\n", "xx, uu = ui[0].plotprofile()\n", "ax1.plot(xx, uu, 'r-', label='initial')\n", "\n", "xx, uu = ui[1].plotprofile()\n", "ax1.plot(xx, uu, 'b-', label='intermediate 1')\n", "\n", "xx, uu = ui[8].plotprofile()\n", "ax1.plot(xx, uu, 'g-', label='intermediate 8')\n", "\n", "xx, uu = ui[-1].plotprofile()\n", "ax1.plot(xx, uu, 'k-', label='final')\n", "\n", "ax1.set_xlim((0, Lx))\n", "ax1.set_ylim((0.0, 1.0))\n", "\n", "ax1.set_xlabel('x')\n", "ax1.set_ylabel('c')\n", "ax1.set_title('1D wave equation solution')\n", "ax1.legend(fontsize=8);" ] }, { "cell_type": "raw", "id": "930f1111-b263-444c-ad68-cf813cb2616a", "metadata": {}, "source": [ "\n", "# ========= #\n", "\n", "# ANIMATION NEEDS TO BE ADAPTED FOR INTERACTIVE NOTEBOOK\n", "\n", "# create a figure to handle the solution animation\n", "# pre-generate the handles to the axes and the line\n", "hfig2 = plt.figure()\n", "ax2 = plt.axes(xlim=(0, Lx), ylim=(0.0, 1.0))\n", "line, = ax2.plot([], [], 'k-', lw=3, label='Numerical solution')\n", "\n", "ax2.set_xlabel('x')\n", "ax2.set_ylabel('c')\n", "ax2.set_title('1D wave equation solution')\n", "ax2.legend(fontsize=8)\n", "\n", "\n", "def init():\n", " line.set_data([], [])\n", " return line, \n", "\n", "def animate(ii):\n", " # x, y = get_CellVariable_profile1D(ui[ii])\n", "\n", " global ui\n", " line.set_data(*get_CellVariable_profile1D(ui[ii]))\n", " return line, \n", "\n", "anim = FuncAnimation(hfig2, animate, init_func=init,\n", " frames=400, interval=20, blit=True)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "2d5328dc-c877-4754-b2f0-729739fa61f8", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }