{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Step 9: 2D Laplace Equation\n", "\n", "We previously completed a solution to the 2D Burger's Equation and we move now onto solving the Laplace and Poisson Equations in the next two steps. The 2D Burger's equation was important in our study of fluid mechanics because it contains the full convective nonlinearity of the flow equations. But with this exercise we build our experience incrementally to code a Navier-Stokes solver.\n", "\n", "Here is Laplace's Equation in 2D:\n", "\n", "$$\\frac{\\partial^2 p}{\\partial x^2} + \\frac{\\partial^2 p}{\\partial y^2} = 0$$\n", "\n", "\n", "## Discretization\n", "\n", "We've built a pretty good amount of experience in discretizing these terms, even for 2nd order derivatives. But looking at this for a minute — Laplace's equation has features that are typical of diffusion phenomena. For this reason, it has to be discretized using central differences, so that the discretization is consistent with the physics we want to simulate.\n", "\n", "The discretization equation is:\n", "\n", "$$\\frac{p^n_{i+1,j} - 2p^n_{i,j} + p^n_{i-1,j}}{\\Delta x^2} + \\frac{p^n_{i,j+1} - 2p^n_{i,j} + p^n_{i,j-1}}{\\Delta y^2} = 0\n", "$$\n", "\n", "Notice that the Laplace Equation does not have a time dependence — there is no $p^n+1$ term. Instead of tracking a wave through time — as we have done in the previous steps — the laplace equation calculates the equilibrium state of a system under the supplied boundary conditions. If you are familiar with Heat Transfer, you will recognize this as the steady-state heat equation.\n", "\n", "That is, this equation does not calcualte where the system will be after some time *t*, instead it iteratively solves for $p^n_{i,j}$ until it meets a condition that we specify. The equilibrium state will only be reached after $\\infty$ iterations so we cannot easily decide when to stop. Instead, we will iterate until the change between one iteration and the next one becomes significantly small. \n", "\n", "Rearranging the discretized equation we can get:\n", "\n", "$$p^n_{i,j} = \\frac{\\Delta y^2 (p^n_{i+1,j} + p^n_{i-1,j})+ \\Delta x^2 (p^n_{i,j+1} + p^n_{i,j-1})}{2(\\Delta x^2 + \\Delta y^2 )}\n", "$$\n", "\n", "Using second-order-central-difference schemes in both direction is the most widely applied method for discretizing the Laplace Equations. It is also known as the **five-point difference operator**.\n", "\n", "## Initial and Boundary Conditions\n", "\n", "We solve the Laplace equation numerically by assuming an initial state of p = 0 everywhere. Then we add the following boundary conditions. \n", "\n", "$p = 0 \\ \\text{at} \\ x = 0$\n", "\n", "$p = y \\ \\text{at} \\ x = 2$\n", "\n", "$\\frac{\\partial p}{\\partial y} = 0 \\ \\text{at} \\ y = 0, 1$ \n", "\n", "Under these specific conditions there is an analytical solution that we can use for Laplace's Equation:\n", "\n", "$$p(x,y) = \\frac{x}{4} - 4 \\sum_{n=1,odd}^{\\infty} \\frac{1}{(n \\pi)^2 \\sinh 2n \\pi} \\sinh n \\pi x \\cos n \\pi y$$\n", "\n", "## Libraries and Variable declarations\n", "\n", "### Lib import" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Adding inline command to make plots appear under comments\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "from mpl_toolkits.mplot3d import Axes3D\n", "%matplotlib notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Function Declarations" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def plot2D(x,y,p):\n", " fig = plt.figure(figsize=(11,7), dpi=100)\n", " ax = fig.gca(projection='3d')\n", " X,Y = np.meshgrid(x,y)\n", " surf = ax.plot_surface(X, Y, p[:], rstride=1, cstride=1, cmap=cm.viridis,\n", " linewidth=0, antialiased=False)\n", " ax.set_xlim(0,2)\n", " ax.set_ylim(0,1)\n", " ax.view_init(30,225)\n", " ax.set_xlabel('$x$')\n", " ax.set_zlabel('$p$')\n", " ax.set_ylabel('$y$')\n", " ax.text2D(0.35, 0.95, \"2D Laplace Equations\", transform=ax.transAxes);\n", " #ax.grid(False)\n", " #ax.set_xticks([])\n", " #ax.set_yticks([])\n", " #ax.set_zticks([])\n", " #plt.axis('off')\n", " #plt.savefig('laplace.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot2D function takes three arguments, an ax-vector, a y-vector and our p-matrix and given these values creates a 3D projection plot." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def laplace2D(p, y, dx, dy, l1norm_target):\n", " l1norm = 1\n", " pn = np.empty_like(p)\n", " count = 0\n", " while l1norm > l1norm_target: \n", " count +=1\n", " pn = p.copy()\n", " p[1:-1, 1:-1] = ((dy**2 * (pn[1:-1, 2:] + pn[1:-1, 0:-2]) +\n", " dx**2 * (pn[2:, 1:-1] + pn[0:-2, 1:-1])) /\n", " (2 * (dx**2 + dy**2)))\n", " \n", " p[:, 0] = 0 # p = 0 @ x = 0\n", " p[:, -1] = y # p = y @ x = 2\n", " p[0, :] = p[1, :] # dp/dy = 0 @ y = 0\n", " p[-1, :] = p[-2, :] # dp/dy = 0 @ y = 1\n", " l1norm = (np.sum(np.abs(p[:]) - np.abs(pn[:])) /\n", " np.sum(np.abs(pn[:])))\n", " print(count) \n", " return p" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Variable Declarations" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "grid_length_x = 2\n", "grid_length_y = 1\n", "grid_points_x = 31\n", "grid_points_y = 31\n", "c = 1\n", "dx = grid_length_x / (grid_points_x - 1) \n", "dy = grid_length_y / (grid_points_y - 1) \n", "\n", "p = np.zeros((grid_points_x, grid_points_y))\n", "\n", "x = np.linspace(0, grid_length_x, grid_points_x)\n", "y = np.linspace(0, grid_length_y, grid_points_y)\n", "\n", "\n", "#Initiallizing the array containing the shape of our initial conditions\n", "p[:,0] = 0\n", "p[:,-1] = y\n", "p[0,:] = p[1,:]\n", "p[-1,:] = p[-2,:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting initial conditions" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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