{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Step 10: 2D Poisson Equation\n", "\n", "We're very close now to building the final Navier-Stokes simulation that brought us here in the first place but before that, let's take a quick look at the Navier-Stokes equations for an incompresssible fluid, where $\\vec{v}$ represents the velocity field:\n", "\n", "$$ \\nabla \\cdot \\vec{v} = 0 $$\n", "\n", "$$ \\frac{\\partial \\vec{v}}{\\partial t} + (\\vec{v} \\cdot \\nabla) \\vec{v} = - \\frac{1}{\\rho} \\nabla p + \\nu \\nabla^2 \\vec{v} $$\n", "\n", "The first equation is a representation of mass conservation at constant density. The second equation is the conservation of momentum. Yet, we have a problem: the continuity equation for incompressible flow does not have a dominant variable and there is no obvious way to couple the velocity and the pressure. In the case of compressible flow, in contranst, mass continuity would provide an evolution equation for the density $rho$, which is couple with an equation of state relating $rho$ and $p$.\n", "\n", "In incompressible flow, the continuity equation $\\nabla \\cdot \\vec{v} = 0$ provides a *kinematic constraint* that requires the pressure field to evolve so that the rate of expansion $\\nabla \\cdot \\vec{v} $ should vanish everywhere. A way out of this difficulty is to construct a pressure field that guarantees continuity is satisfied; such relation can be obtained by taking the divergence of the momentum equation. In that process, a Poisson equation for the pressure shows up!\n", "\n", "We can obtain Poisson's equation from adding a source term to the right hand side of Laplace's equation:\n", "\n", "$$ \\frac{\\partial^2 p}{\\partial x^2} + \\frac{\\partial^2 p}{\\partial y^2} = b $$\n", "\n", "This leads to a different behaviour within the field where there is some finite value inside the field that affects the solution. Poisson's equation acts to \"relax\" the initial sources in the field.\n", "\n", "## Discretization\n", "\n", "In discretized formed this looks pretty much exactly the same as in Step 9:\n", "\n", "$$ \\frac{p^n_{i+1,j} - 2p^n_{i,j} + p^n_{i-1,j}}{\\Delta x^2} + \\frac{p^n_{i,j+1} - 2p^n_{i,j} + p^n_{i,j-1}}{\\Delta y^2} = b^n_{i,j}\n", "$$\n", "\n", "Rearranging the discretized equation we can get:\n", "\n", "$$ p^n_{i,j} = \\frac{\\Delta y^2 (p^n_{i+1,j} + p^n_{i-1,j})+ \\Delta x^2 (p^n_{i,j+1} + p^n_{i,j-1}) - b^n_{i,j} \\Delta x^2 \\Delta y^2}{2(\\Delta x^2 + \\Delta y^2 )}\n", "$$\n", "\n", "## Initial and Boundary Conditions\n", "\n", "We solve this equation by assuming an initial state of p = 0 everywhere. Then we add the following boundary conditions. \n", "\n", "$p = 0 \\ \\text{at} \\ x = 0 , 2 \\ \\text{and} \\ y = 0,1 $\n", "\n", "The source term consists of two initial spikes inside the domain, as follow:\n", "\n", "$ b_{i,j} = 100 \\ \\text{at} \\ i = nx / 4, j = ny / 4 $\n", "\n", "$ b_{i,j} = -100 \\ \\text{at} \\ i = nx * 3 / 4, j = \\frac{3}{4} ny $\n", "\n", "$ b_{i,j} = 0 \\ \\text{everywhere else} $\n", "\n", "The iterations will advance in pseudo time to relax the initial spikes. The relaxation under Posisson's equation get slower as time progresses however.\n", "\n", "## Libraries and Variable declarations\n", "\n", "### Lib import" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Adding inline command to make plots appear under comments\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "from mpl_toolkits.mplot3d import Axes3D\n", "%matplotlib notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Function Declarations" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def plot2D(x,y,p):\n", " fig = plt.figure(figsize=(11,7), dpi=100)\n", " ax = fig.gca(projection='3d')\n", " X,Y = np.meshgrid(x,y)\n", " surf = ax.plot_surface(X, Y, p[:], rstride=1, cstride=1, cmap=cm.viridis,\n", " linewidth=0, antialiased=False)\n", " ax.set_xlim(0,2)\n", " ax.set_ylim(0,1)\n", " ax.view_init(30,225)\n", " ax.set_xlabel('$x$')\n", " ax.set_zlabel('$p$')\n", " ax.set_ylabel('$y$')\n", " ax.text2D(0.35, 0.95, \"2D Poisson's Equation\", transform=ax.transAxes);\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Variable Declarations" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "grid_points_x = 50\n", "grid_points_y = 50\n", "nt = 100\n", "xmin = 0\n", "xmax = 2\n", "ymin = 0\n", "ymax = 1\n", "\n", "dx = (xmax - xmin) / (grid_points_x - 1) \n", "dy = (ymax - ymin) / (grid_points_y - 1) \n", "\n", "#Initializing arrays\n", "p = np.zeros((grid_points_x, grid_points_y))\n", "pd = np.zeros((grid_points_x, grid_points_y))\n", "b = np.zeros((grid_points_x, grid_points_y))\n", "x = np.linspace(xmin, xmax, grid_points_x)\n", "y = np.linspace(ymin, ymax, grid_points_y)\n", "\n", "#Source initializing\n", "b[int(grid_points_y / 4), int(grid_points_x / 4)] = 100\n", "b[int(3 * grid_points_y / 4), int(3 * grid_points_x / 4)] = -100\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solving in 2D" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "for it in range(nt):\n", "\n", " pd = p.copy()\n", "\n", " p[1:-1,1:-1] = (((pd[1:-1, 2:] + pd[1:-1, :-2]) * dy**2 +\n", " (pd[2:, 1:-1] + pd[:-2, 1:-1]) * dx**2 -\n", " b[1:-1, 1:-1] * dx**2 * dy**2) / \n", " (2 * (dx**2 + dy**2)))\n", "\n", " p[0, :] = 0\n", " p[grid_points_y-1, :] = 0\n", " p[:, 0] = 0\n", " p[:, grid_points_x-1] = 0" ] }, { "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": [ "### Results\n", "\n", "Clearly shows the sink and the source. Let's try to plot the behavior over time to get a better idea.\n", "\n", "## Animating the simulation" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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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 back to initial conditions\n", "p = np.zeros((grid_points_x, grid_points_y))\n", "pd = np.zeros((grid_points_x, grid_points_y))\n", "b = np.zeros((grid_points_x, grid_points_y))\n", "\n", "b[int(grid_points_y / 4), int(grid_points_x / 4)] = 100\n", "b[int(3 * grid_points_y / 4), int(3 * grid_points_x / 4)] = -100\n", "\n", "#Generating the figure that will contain the animation\n", "fig = plt.figure(figsize=(9,5), 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_xlabel('$x$')\n", "ax.set_zlabel('$p$')\n", "ax.set_ylabel('$y$')\n", "ax.text2D(0.35, 0.95, \"2D Poisson's Equation Time History\", transform=ax.transAxes);" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "#Initialization function for funcanimation\n", "def init():\n", " ax.clear()\n", " surf = ax.plot_surface(X, Y, p[:], rstride=1, cstride=1, cmap=cm.viridis,\n", " linewidth=0, antialiased=False)\n", " return surf" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "#Main animation function, each frame represents a time step in our calculation\n", "def animate(j):\n", " \n", " pd = p.copy()\n", " p[1:-1,1:-1] = (((pd[1:-1, 2:] + pd[1:-1, :-2]) * dy**2 +\n", " (pd[2:, 1:-1] + pd[:-2, 1:-1]) * dx**2 -\n", " b[1:-1, 1:-1] * dx**2 * dy**2) / \n", " (2 * (dx**2 + dy**2)))\n", "\n", " p[0, :] = 0\n", " p[grid_points_y-1, :] = 0\n", " p[:, 0] = 0\n", " p[:, grid_points_x-1] = 0\n", " \n", " ax.clear()\n", " surf = ax.plot_surface(X, Y, p[:], rstride=1, cstride=1, cmap=cm.viridis,\n", " linewidth=0, antialiased=False)\n", " ax.set_xlim(0,2)\n", " ax.set_ylim(0,1)\n", " ax.set_xlabel('$x$')\n", " ax.set_zlabel('$p$')\n", " ax.set_ylabel('$y$')\n", " ax.text2D(0.35, 0.95, \"2D Poisson's Equation Time History\", transform=ax.transAxes);\n", " return surf" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
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