{ "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$')\n", " ax.set_ylabel('$y$')" ] }, { "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", 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" ] }, "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": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/angel/.local/lib/python3.6/site-packages/ipykernel_launcher.py:17: UserWarning: Requested projection is different from current axis projection, creating new axis with requested projection.\n" ] }, { "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 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, ax = plt.subplots()\n", "fig.set_dpi(100)\n", "fig.set_size_inches(11,7)\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$')\n", "ax.set_ylabel('$y$');" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "#Initialization function for funcanimation\n", "def init():\n", " ax.clear()\n", " surf = ax.plot_surface(X, Y, p[:], rstride=1, cstride=1, cmap=cm.viridis,\n", " linewidth=0, antialiased=False)\n", " return surf" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "#Main animation function, each frame represents a time step in our calculation\n", "def animate(j):\n", " \n", " pd = p.copy()\n", " p[1:-1,1:-1] = (((pd[1:-1, 2:] + pd[1:-1, :-2]) * dy**2 +\n", " (pd[2:, 1:-1] + pd[:-2, 1:-1]) * dx**2 -\n", " b[1:-1, 1:-1] * dx**2 * dy**2) / \n", " (2 * (dx**2 + dy**2)))\n", "\n", " p[0, :] = 0\n", " p[grid_points_y-1, :] = 0\n", " p[:, 0] = 0\n", " p[:, grid_points_x-1] = 0\n", " \n", " ax.clear()\n", " surf = ax.plot_surface(X, Y, p[:], rstride=1, cstride=1, cmap=cm.viridis,\n", " linewidth=0, antialiased=False)\n", " ax.set_xlim(0,2)\n", " ax.set_ylim(0,1)\n", " ax.set_xlabel('$x$')\n", " ax.set_ylabel('$y$');\n", " return surf" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
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\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "anim = animation.FuncAnimation(fig, animate, init_func=init,\n", " frames=nt, interval=20)\n", "HTML(anim.to_jshtml())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "With this, we have all the necessary tools to tackle the real challenge. The navier-stokes equations. Next step we shall build a simple cavity flow simulation. Let's do this1" ] } ], "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 }