{ "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot2D(x,y,p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solving in 2D" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2042\n" ] } ], "source": [ "p = laplace2D(p, y, dx, dy, 1e-4)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot2D(x,y,p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Results\n", "\n", "Pretty cool to see the final steady solution. Let's now attempt to animate it and get an evolution of the solution.\n", "\n", "## Animating the simulation" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Imports for animation and display within a jupyter notebook\n", "from matplotlib import animation, rc \n", "from IPython.display import HTML\n", "\n", "#Resetting the U wave back to initial conditions\n", "p = np.zeros((grid_points_x, grid_points_y))\n", "p[:,0] = 0\n", "p[:,-1] = y\n", "p[0,:] = p[1,:]\n", "p[-1,:] = p[-2,:]\n", "\n", "#Generating the figure that will contain the animation\n", "\n", "pn = np.empty_like(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 Animated\", transform=ax.transAxes);" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "#Initialization function for funcanimation\n", "def init():\n", " ax.clear()\n", " surf = ax.plot_surface(X, Y, p[:], rstride=1, cstride=1, cmap=cm.viridis,\n", " linewidth=0, antialiased=False)\n", " return surf" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "#Main animation function, each frame represents a time step in our calculation\n", "def animate(j):\n", " \n", "\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", " \n", " ax.clear()\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 Animated\", transform=ax.transAxes);\n", " return surf" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Animation size has reached 21076398 bytes, exceeding the limit of 20971520.0. If you're sure you want a larger animation embedded, set the animation.embed_limit rc parameter to a larger value (in MB). This and further frames will be dropped.\n" ] }, { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
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\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "anim = animation.FuncAnimation(fig, animate, init_func=init,\n", " frames=200, interval=20)\n", "HTML(anim.to_jshtml())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "Next we will move on to solving Poisson's equation in 2D." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }