{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Diffusion in 1D cylindrical mesh. Analytic and PyFVTool\n", "\n", "MW 230817, 240503\n", "\n", "This example will use Scipy to evaluate the analytic solution for a heat transfer problem, and PyFVTool to solve the same problem by the finite-volume method.\n", "\n", "### To do\n", "- Add the mathematical formulation of the problem" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from numpy import exp\n", "from scipy.special import jn_zeros, j0, j1\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# explicity import all required routines from pyfvtool\n", "from pyfvtool import CylindricalGrid1D\n", "from pyfvtool import CellVariable\n", "from pyfvtool import transientTerm, diffusionTerm\n", "from pyfvtool import harmonicMean\n", "from pyfvtool import solvePDE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "A cylindrical object having a certain radius and infinite length has a homogeneous initial temperature (or concentration distribution if we are modeling mass transfer). At $t = 0$ it is put into perfect contact with a reservoir providing a higher temperature (or concentration). How does the temperature (concentration) profile evolve inside the cylinder over time? How long for equilibrium at the new temperature?\n", "\n", "This could model, for instance, the initial step of cooking dry spaghetti, when the spaghetti is immersed in the boiling water, and it rapidly heats up from ambient temperature to the water temperature. The estimated duration for this step to complete is approximately 20 seconds, which makes the (still) dry spaghetti flexible enough so that it can be bent to fit into the pan (no, we do not break the spaghetti before putting it into the pan). The actual cooking process (starch gelatinization) can then start, which takes more time (don't overdo it - use a timer. Oh, and by the way, when water boils, it boils. Once the water is boiling, you can turn down the heat such that you get a gentle, steady boil. Any more heat power does not cook your spaghetti any faster.)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Analytic solution\n", "\n", "See:\n", "J. Crank (1975) \"The Mathematics of Diffusion\", 2nd Ed., \n", "Clarendon Press (Oxford), p. 78, section 5.3.\n", "\n", "Equation (5.22) reads\n", "\n", "$$\n", "\\frac{C-C_1}{C_0-C_1} = 1 - \\frac{2}{a}\n", "\\sum_{n=1}^{\\infty} \\frac{\\exp(-D\\alpha_n^2 t) J_0(r\\alpha_n)}\n", "{\\alpha_n J_1(a\\alpha_n)}\n", "$$\n", "\n", "\n", "Here we will evaluate and plot this equation." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def crank522(r, t, a, D):\n", " '''evaluate eqn 5.22 for a given r,t\n", " a : radius of cylinder\n", " D : diffusion coefficient\n", " \n", " the following global variables need to be set\n", "\n", " Nterm_crank : number of terms to be evaluated\n", " '''\n", " global Nterm_crank\n", " \n", " aalp = jn_zeros(0, Nterm_crank)\n", " alpha = aalp/a\n", " \n", " XJ0 = exp(-D * alpha**2 * t) * j0(r*alpha)\n", " AJ1 = alpha * j1(aalp)\n", " \n", " S = np.sum(XJ0/AJ1)\n", " \n", " return 1.0 - (2.0/a) * S" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# set world parameters\n", "a_val = 2.9\n", "D_val = 1.9\n", "Nterm_crank = 30" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# create radial axis for plotting analytic solution\n", "r_an = np.linspace(0.,a_val,200)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# evaluate crank522 at different points in time, and plot\n", "for t in [0.005, 0.01, 0.02, 0.03, 0.04, 0.06, 0.08, 0.1, 0.15,\n", " 0.2, 0.3, 0.4, 0.6, 0.8]:\n", " c = np.array([crank522(rr, t, a_val, D_val) for rr in r_an])\n", " plt.plot(r_an, c)\n", "plt.xlabel('rel. radial position')\n", "plt.ylabel('rel. temperature')\n", "plt.title('analytic solution')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Finite-volume solution with PyFVTool" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define 1D cylindrical grid with a variable called 'c', initialized to an initial value of 0.0 everywhere." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "Nr = 50\n", "Lr = a_val\n", "c_outer = 1.0 # (outer) boundary concentration\n", "c0 = 0.0\n", "deltat = 0.001" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "mesh = CylindricalGrid1D(Nr, Lr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a cell variable for the solution, initialized to value `c0`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "c = CellVariable(mesh, c0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, the boundary conditions for a variable are of the 'no flux' (Neumann) type.\n", "\n", "Here, we apply a different boundary condition: the outer (rightmost) boundary will be kept at 1.0 (Dirichlet boundary condition)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# switch the right (=outer) boundary to Dirichlet: fixed concentration\n", "c.BCs.right.a = 0.0\n", "c.BCs.right.b = 1.0\n", "c.BCs.right.c = c_outer" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "D = CellVariable(mesh, D_val) # diffusion coefficient\n", "alfa = CellVariable(mesh, 1.0) # transientterm coefficient" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "t = 0.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we solve the equation by taking time steps. We plot the solution at several specified time-points, together with the analytic solution." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r_an = np.linspace(0., a_val,200) # axis for plotting analytic solution\n", "\n", "sample_i = [5,10,20,30,40,60,80,100,150,200,300,400,600,800]\n", "\n", "for i in range(0,1001):\n", " if i in sample_i:\n", " r, phi = c.plotprofile()\n", " plt.plot(r, phi)\n", " c_an = np.array([crank522(rr,t,a_val,D_val) for rr in r_an])\n", " plt.plot(r_an,c_an, 'k:')\n", " # calculate the value of D at the faces \n", " # as the harmonic mean of the values at the centers\n", " Dave = harmonicMean(D)\n", " solvePDE(c,\n", " [ transientTerm(c, deltat, alfa),\n", " -diffusionTerm(Dave)])\n", " t += deltat\n", "plt.xlabel('radial position $r$')\n", "plt.ylabel('rel. temperature $T$')\n", "plt.title('FVM (PyFVTool) solution. Dotted line = analytic');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quantitative benchmark of numerical result vs analytic solution\n", "\n", "This is a simple, non-exhaustive benchmark. It will, however, detect if the numerical result differs significantly which will be indicative of errors in the numerical scheme." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r_num, phi_num = c.plotprofile()\n", "phi_an_r_num = np.array([crank522(rr, t, a_val, D_val) for rr in r_num])\n", "norm_err = (phi_num - phi_an_r_num)/phi_an_r_num.max()\n", "plt.plot(r_num, norm_err, 'o')\n", "plt.xlabel('radial position $r$')\n", "plt.ylabel('norm. error FV vs analytic');" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "assert np.all(np.abs(norm_err) < 0.0005)" ] }, { "cell_type": "code", "execution_count": null, "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": 4 }