{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Step 11: Cavity Flow with Navier-Stokes\n", "\n", "Here we are, finally solving the Navier-stokes equations in two dimensions. The last two steps of the module will be focusing on solving these equations but with different boundary conditions. \n", "\n", "We begin with the momentum equation in vector form for a velocity field $\\vec{v}$ :\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", "This can also be understoon as a set of scalar equations, one for each velocity component $(u,v,w)$. But we will solve it in two dimensions, so there will only be two scalar equations.\n", "\n", "Now, if you were missing the continuity equation, do not worry! This is where our work on the previous step related to the Poisson equation comes into play.\n", "\n", "Here is the system of differential equations: two equations for the velocity component and one for pressure:\n", "\n", "$$ \\frac{\\partial u}{ \\partial t} + u \\frac{\\partial u}{ \\partial x} + v\\frac{\\partial u}{ \\partial y} = - \\frac{1}{ \\rho } \\frac{\\partial p}{ \\partial x} + \\nu \\left ( \\frac{\\partial^2 u}{ \\partial x^2} + \\frac{\\partial^2 u}{ \\partial y^2} \\right ) $$\n", "\n", "$$ \\frac{\\partial v}{ \\partial t} + u \\frac{\\partial v}{ \\partial x} + v\\frac{\\partial v}{ \\partial y} = - \\frac{1}{ \\rho } \\frac{\\partial p}{ \\partial y} + \\nu \\left ( \\frac{\\partial^2 v}{ \\partial x^2} + \\frac{\\partial^2 v}{ \\partial y^2} \\right ) $$\n", "\n", "\n", "$$ \\frac{\\partial^2 p}{\\partial x^2} + \\frac{\\partial^2 p}{\\partial y^2} = -\\rho \\left ( \\frac{\\partial u}{ \\partial x} \\frac{\\partial u}{ \\partial x} + 2 \\frac{\\partial u}{ \\partial y} \\frac{\\partial v}{ \\partial x} + \\frac{\\partial v}{ \\partial y } \\frac{\\partial v}{ \\partial y} \\right ) $$\n", "\n", "\n", "## Discretization\n", "\n", "From the previous steps, we already have a solid grasp on how to discretize most of the terms. Only in the last equation do we encounter some unfamiliar stuff. In any case, let's begin by first discretizing the u momentum equation:\n", "\n", "$$ \\frac{u^{n+1}_{i,j} - u^n_{i,j}}{\\Delta t} + u^n_{i,j} \\frac{u^{n}_{i,j} - u^n_{i-1,j}}{\\Delta x} + v^n_{i,j} \\frac{u^{n}_{i,j} - u^n_{i,j-1}}{\\Delta y} = - \\frac{1}{\\rho} \\frac{p^{n}_{i+1,j}-p^{n}_{i-1,j}}{ 2 \\Delta x} + \\nu \\left ( \\frac{u^{n}_{i+1,j}-2 u^{n}_{i,j} + u^{n}_{i-1,j}}{ \\Delta x^2} + \\frac{u^{n}_{i,j+1}-2 u^{n}_{i,j} + u^{n}_{i,j-1}}{ \\Delta y^2} \\right )\n", "$$\n", "\n", "Similarly for the v equation:\n", "\n", "$$ \\frac{v^{n+1}_{i,j} - v^n_{i,j}}{\\Delta t} + u^n_{i,j} \\frac{v^{n}_{i,j} - v^n_{i-1,j}}{\\Delta x} + v^n_{i,j} \\frac{v^{n}_{i,j} - v^n_{i,j-1}}{\\Delta y} = - \\frac{1}{\\rho} \\frac{p^{n}_{i,j+1}-p^{n}_{i,j-1}}{ 2 \\Delta y} + \\nu \\left ( \\frac{v^{n}_{i+1,j}-2 v^{n}_{i,j} + v^{n}_{i-1,j}}{ \\Delta x^2} + \\frac{v^{n}_{i,j+1}-2 v^{n}_{i,j} + v^{n}_{i,j-1}}{ \\Delta y^2} \\right )\n", "$$\n", "\n", "Finally the discretized pressure-poisson equation can be written like so:\n", "\n", "$$ \\frac{p^n_{i+1,j} - 2 p^n_{i,j} + p^n_{i-1,j}}{\\Delta x^2} + \\frac{p^n_{i,j+1} - 2 p^n_{i,j} + p^n_{i,j-1}}{\\Delta y^2} = \\rho \\left [ \\frac{1}{\\Delta t} \\left ( \\frac{u^n_{i+1,j} - u^n_{i-1,j}}{2 \\Delta x} + \\frac{v^n_{i+1,j} - v^n_{i-1,j}}{2 \\Delta y} \\right ) - \\frac{u_{i+1,j} - u_{i-1,j}}{2 \\Delta x} \\frac{u_{i+1,j} u_{i-1,j}}{2 \\Delta x} - 2\\frac{u_{i,j+1} - u_{i,j-1}}{2 \\Delta y} \\frac{v_{i+1,j} - v_{i-1,j}}{2 \\Delta x} - \\frac{v_{i,j+1} - v_{i,j-1}}{2 \\Delta y} \\frac{v_{i,j+1} - v_{i,j-1}}{2 \\Delta y} \\right ]\n", "$$\n", "\n", "As always, we shall write these equations in a rearranged form in the way that the iterations need to proceed in the code. First the momentum equations for the velocity at the next time step:\n", "\n", "The momentum in the u direction:\n", "\n", "$$ u^{n+1}_{i,j} = u^{n}_{i,j} - u^{n}_{i,j} \\frac{\\Delta t}{\\Delta x} \\left ( u^n_{i,j} - u^n_{i-1,j} \\right ) - v^n_{i,j} \\frac{\\Delta t}{\\Delta y} \\left ( u^n_{i,j} - u^n_{i,j-1} \\right ) - \\frac{\\Delta t}{ \\rho 2 \\Delta x} \\left ( p^n_{i-1,j} - p^n_{i-1,j} \\right ) + \\nu \\left ( \\frac{\\Delta t}{\\Delta x ^2} \\left ( u^n_{i+1,j} - 2 u^n_{i,j} + u^{n}{i-1, j} \\right ) + \\frac{\\Delta t}{\\Delta y^2} \\left ( u^n_{i,j+1} - 2u^n_{i,j} + u^n_{i,j-1} \\right ) \\right )\n", "$$\n", "\n", "The momentum in the v direction:\n", "\n", "$$ v^{n+1}_{i,j} = v^{n}_{i,j} - u^{n}_{i,j} \\frac{\\Delta t}{\\Delta x} \\left ( v^n_{i,j} - v^n_{i-1,j} \\right ) - v^n_{i,j} \\frac{\\Delta t}{\\Delta y} \\left ( v^n_{i,j} - v^n_{i,j-1} \\right ) - \\frac{\\Delta t}{ \\rho 2 \\Delta y} \\left ( p^n_{i,j+1} - p^n_{i,j-1} \\right ) + \\nu \\left ( \\frac{\\Delta t}{\\Delta x ^2} \\left ( v^n_{i+1,j} - 2 v^n_{i,j} + v^{n}{i-1, j} \\right ) + \\frac{\\Delta t}{\\Delta y^2} \\left ( v^n_{i,j+1} - 2v^n_{i,j} + v^n_{i,j-1} \\right ) \\right )\n", "$$\n", "\n", "Last but not least, the Pressure-poisson equation:\n", "\n", "$$p^n_{i,j} = \\frac{\\left ( p^n_{i+1,j} + p^n_{i-1,j} \\right )\\Delta y^2 + \\left ( p^n_{i,j+1} + p^n_{i,j-1} \\right ) \\Delta x^2 }{2 \\left ( \\Delta x^2 + \\Delta y^2 \\right )} - \\frac{\\rho \\Delta x^2 \\Delta y^2}{2\\left (\\Delta x^2 + \\Delta y^2 \\right )} \\times \\left [ \\frac{1}{\\Delta t} \\left ( \\frac{u_{i+1, j} - u_{i-1,j}}{2 \\Delta x} + \\frac{v_{i, j+1} - v_{i,j-1}}{2 \\Delta y} \\right ) - \\frac{u_{i+1,j} - u_{i-1,j}}{2 \\Delta x} \\frac{u_{i+1,j} - u_{i-1,j}}{2 \\Delta x} - 2 \\frac{u_{i,j+1} - u_{i,j-1}}{2 \\Delta y} \\frac{v_{i+1,j} - v_{i-1,j}}{2 \\Delta x} - \\frac{v_{i,j+1} - v_{i,j-1}}{2 \\Delta y} \\frac{v_{i,j+1} - v_{i,j-1}}{2 \\Delta y} \\right ]\n", "$$\n", "\n", "## Initial and Boundary Conditions\n", "\n", "The initial conditions are that $ u,v,p = 0$ everywhere and the boundary conditions are as follows:\n", "\n", "$ u = 1 \\ \\text{at} \\ y = 2 \\ \\text{(\"the lid\")}$ \n", "\n", "$ u, v = 0 $ on the other boundaries\n", "\n", "$ \\frac{\\partial p}{\\partial y} = 0 \\ \\text{at} \\ y = 0 $\n", "\n", "$ p = 0 \\ \\text{at} \\ y = 2 $\n", "\n", "$ \\frac{\\partial p}{\\partial x} = 0 \\ \\text{a} \\ x = 0,2$\n", "\n", "We now have all we need to begin the simulation! Let's start by importing all the libraries that we shall use and then declare some key functions and variables.\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\n", "\n", "import logging\n", "logger = logging.getLogger('matplotlib')\n", "logger.setLevel(logging.INFO)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Variable Declarations" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "nx = 41\n", "ny = 41\n", "nt = 500\n", "nit = 50\n", "c = 1\n", "\n", "dx = 2 / (nx - 1) \n", "dy = 2 / (ny - 1) \n", "\n", "#Initializing arrays\n", "x = np.linspace(0, 2, nx)\n", "y = np.linspace(0, 2, ny)\n", "X,Y = np.meshgrid(x,y)\n", "\n", "rho = 1\n", "nu = .1\n", "dt = 0.001\n", "\n", "#Initializing tu,v and pressure arrays\n", "u = np.zeros((nx, ny))\n", "v = np.zeros((nx, ny))\n", "p = np.zeros((nx, ny))\n", "b = np.zeros((nx, ny))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Function Declarations\n", "\n", "Writing the pressure-Poisson equation that we have described without typos is pretty unlikely. Also the equation is large enough that it makes it somewhat unwieldy to read. To alliviate these issues we have split up the large equations and have created the function `build_up_b` found below that represents the contents of the square brackets, so that the entirety of the PPE is easier to manage" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def build_up_b(b,rho, dt, u , v, dx, dy):\n", " \n", " b[1:-1, 1:-1] = (rho * (1 / dt * \n", " ((u[1:-1, 2:] - u[1:-1, 0:-2]) / \n", " (2 * dx) + (v[2:, 1:-1] - v[0:-2, 1:-1]) / (2 * dy)) -\n", " ((u[1:-1, 2:] - u[1:-1, 0:-2]) / (2 * dx))**2 -\n", " 2 * ((u[2:, 1:-1] - u[0:-2, 1:-1]) / (2 * dy) *\n", " (v[1:-1, 2:] - v[1:-1, 0:-2]) / (2 * dx))-\n", " ((v[2:, 1:-1] - v[0:-2, 1:-1]) / (2 * dy))**2))\n", " \n", " return b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This next function `pressure_poisson` is also defined to help segregate the different rounds of calculations. Note the presence of the pseudo-time variable `nit`. This sub iteration of the poisson portion of the calculation helps ensure our field stays divergent-free." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def pressure_poisson(p, dx, dy, b):\n", " pn = np.empty_like(p)\n", " pn = p.copy()\n", " \n", " for q in range(nit):\n", " pn = p.copy()\n", " p[1:-1, 1:-1] = (((pn[1:-1, 2:] + pn[1:-1, 0:-2]) * dy**2 + \n", " (pn[2:, 1:-1] + pn[0:-2, 1:-1]) * dx**2) /\n", " (2 * (dx**2 + dy**2)) -\n", " dx**2 * dy**2 / (2 * (dx**2 + dy**2)) * \n", " b[1:-1,1:-1])\n", "\n", " p[:, -1] = p[:, -2] ##dp/dy = 0 at x = 2\n", " p[0, :] = p[1, :] ##dp/dy = 0 at y = 0\n", " p[:, 0] = p[:, 1] ##dp/dx = 0 at x = 0\n", " p[-1, :] = 0 ##p = 0 at y = 2\n", " \n", " return p" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the rest of the cavity flow equations are wrapped insite the function `cavity flow` allowing us to plot stuff easily from their results in different lengths of time." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def cavity_flow(nt, u, v, dt, dx, dy, p, rho, nu):\n", " un = np.empty_like(u)\n", " vn = np.empty_like(v)\n", " b = np.zeros((ny, nx))\n", " \n", " for n in range(nt):\n", " un = u.copy()\n", " vn = v.copy()\n", " \n", " b = build_up_b(b, rho, dt, u, v, dx, dy)\n", " p = pressure_poisson(p, dx, dy, b)\n", " \n", " u[1:-1, 1:-1] = (un[1:-1, 1:-1]-\n", " un[1:-1, 1:-1] * dt / dx *\n", " (un[1:-1, 1:-1] - un[1:-1, 0:-2]) -\n", " vn[1:-1, 1:-1] * dt / dy *\n", " (un[1:-1, 1:-1] - un[0:-2, 1:-1]) -\n", " dt / (2 * rho * dx) * (p[1:-1, 2:] - p[1:-1, 0:-2]) +\n", " nu * (dt / dx**2 *\n", " (un[1:-1, 2:] - 2 * un[1:-1, 1:-1] + un[1:-1, 0:-2]) +\n", " dt / dy**2 *\n", " (un[2:, 1:-1] - 2 * un[1:-1, 1:-1] + un[0:-2, 1:-1])))\n", "\n", " v[1:-1,1:-1] = (vn[1:-1, 1:-1] -\n", " un[1:-1, 1:-1] * dt / dx *\n", " (vn[1:-1, 1:-1] - vn[1:-1, 0:-2]) -\n", " vn[1:-1, 1:-1] * dt / dy *\n", " (vn[1:-1, 1:-1] - vn[0:-2, 1:-1]) -\n", " dt / (2 * rho * dy) * (p[2:, 1:-1] - p[0:-2, 1:-1]) +\n", " nu * (dt / dx**2 *\n", " (vn[1:-1, 2:] - 2 * vn[1:-1, 1:-1] + vn[1:-1, 0:-2]) +\n", " dt / dy**2 *\n", " (vn[2:, 1:-1] - 2 * vn[1:-1, 1:-1] + vn[0:-2, 1:-1])))\n", "\n", " u[0, :] = 0\n", " u[:, 0] = 0\n", " u[:, -1] = 0\n", " u[-1, :] = 1 #set velocity on cavity lid equal to 1\n", " v[0, :] = 0\n", " v[-1, :]=0\n", " v[:, 0] = 0\n", " v[:, -1] = 0\n", " \n", " \n", " return u, v, p" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solving cavity flow in 2D" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "u = np.zeros((ny, nx))\n", "v = np.zeros((ny, nx))\n", "p = np.zeros((ny, nx))\n", "b = np.zeros((ny, nx))\n", "nt = 100\n", "u, v, p = cavity_flow(nt, u, v, dt, dx, dy, p, rho, nu)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(11,7), dpi=100)\n", "plt.contourf(X,Y,p,alpha= 0.5, cmap=cm.viridis)\n", "plt.colorbar()\n", "plt.contour(X,Y,p, cmap=cm.viridis)\n", "skip = 2\n", "plt.quiver(X[::skip, ::skip], Y[::skip, ::skip], u[::skip, ::skip], v[::skip, ::skip])\n", "plt.xlabel('X')\n", "plt.ylabel('Y');\n", "plt.title('Lid Cavity Flow Pressure Plot at t=0.1 ');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see how the two distinct pressure zones are forming and the spiral pattern expected from the lid cavity is beginning to form. Let's look at different nt times and see how long the system takes to stabilize." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "u = np.zeros((ny, nx))\n", "v = np.zeros((ny, nx))\n", "p = np.zeros((ny, nx))\n", "b = np.zeros((ny, nx))\n", "nt = 400\n", "u, v, p = cavity_flow(nt, u, v, dt, dx, dy, p, rho, nu)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(11,7), dpi=100)\n", "plt.contourf(X,Y,p,alpha= 0.5, cmap=cm.viridis)\n", "plt.colorbar()\n", "plt.contour(X,Y,p, cmap=cm.viridis)\n", "skip = 2\n", "plt.quiver(X[::skip, ::skip], Y[::skip, ::skip], u[::skip, ::skip], v[::skip, ::skip])\n", "plt.xlabel('X')\n", "plt.ylabel('Y');\n", "plt.title('Lid Cavity Flow Pressure Plot at t=1 ');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Results\n", "\n", "The spiral pattern expected from lid-driven cavity flow is showing and the different entrance and exit pressures are very distincte too. Pretty cool right?! Let's try to animate it, which I am not sure will work but it's worth a try.\n", "\n", "## Animating the simulation" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/matplotlib/contour.py:1173: UserWarning: No contour levels were found within the data range.\n", " warnings.warn(\"No contour levels were found\"\n", "/usr/local/lib/python3.6/dist-packages/matplotlib/quiver.py:666: RuntimeWarning: divide by zero encountered in double_scalars\n", " length = a * (widthu_per_lenu / (self.scale * self.width))\n", "/usr/local/lib/python3.6/dist-packages/matplotlib/quiver.py:666: RuntimeWarning: invalid value encountered in multiply\n", " length = a * (widthu_per_lenu / (self.scale * self.width))\n", "/usr/local/lib/python3.6/dist-packages/matplotlib/quiver.py:719: RuntimeWarning: invalid value encountered in less\n", " short = np.repeat(length < minsh, 8, axis=1)\n", "/usr/local/lib/python3.6/dist-packages/matplotlib/quiver.py:733: RuntimeWarning: invalid value encountered in less\n", " tooshort = length < self.minlength\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", "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", "\n", "#Resetting back to initial conditions\n", "u = np.zeros((ny, nx))\n", "v = np.zeros((ny, nx))\n", "p = np.zeros((ny, nx))\n", "b = np.zeros((ny, nx))\n", "nt = 400\n", "\n", "#Generating the figure that will contain the animation\n", "fig, ax = plt.subplots()\n", "fig.set_size_inches(11, 7)\n", "div = make_axes_locatable(ax)\n", "cax = div.append_axes('right', '5%', '5%')\n", "\n", "cf = ax.contourf(X,Y,p,alpha= 0.5, cmap=cm.viridis);\n", "cb = fig.colorbar(cf, cax=cax)\n", "cr = ax.contour(X,Y,p, cmap=cm.viridis);\n", "skip = 2\n", "cq = ax.quiver(X[::skip, ::skip], Y[::skip, ::skip], u[::skip, ::skip], v[::skip, ::skip])\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$');\n", "ax.text(0.3,1.05, \"Lid Cavity Flow Pressure Plot Time history\", transform=ax.transAxes);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "#Initialization function for funcanimation\n", "def init():\n", " ax.clear()\n", " cf = ax.contourf(X,Y,p,alpha= 0.5, cmap=cm.viridis)\n", " cc = ax.contour(X,Y,p, cmap=cm.viridis)\n", " cq = ax.quiver(X[::skip, ::skip], Y[::skip, ::skip], u[::skip, ::skip], v[::skip, ::skip])\n", " return cf,cc,cq" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "#Main animation function, each frame represents a time step in our calculation\n", "def animate(j):\n", " global b , p, u ,v\n", " un = u.copy()\n", " vn = v.copy()\n", "\n", " b = build_up_b(b, rho, dt, u, v, dx, dy)\n", " p = pressure_poisson(p, dx, dy, b)\n", "\n", " u[1:-1, 1:-1] = (un[1:-1, 1:-1]-\n", " un[1:-1, 1:-1] * dt / dx *\n", " (un[1:-1, 1:-1] - un[1:-1, 0:-2]) -\n", " vn[1:-1, 1:-1] * dt / dy *\n", " (un[1:-1, 1:-1] - un[0:-2, 1:-1]) -\n", " dt / (2 * rho * dx) * (p[1:-1, 2:] - p[1:-1, 0:-2]) +\n", " nu * (dt / dx**2 *\n", " (un[1:-1, 2:] - 2 * un[1:-1, 1:-1] + un[1:-1, 0:-2]) +\n", " dt / dy**2 *\n", " (un[2:, 1:-1] - 2 * un[1:-1, 1:-1] + un[0:-2, 1:-1])))\n", "\n", " v[1:-1,1:-1] = (vn[1:-1, 1:-1] -\n", " un[1:-1, 1:-1] * dt / dx *\n", " (vn[1:-1, 1:-1] - vn[1:-1, 0:-2]) -\n", " vn[1:-1, 1:-1] * dt / dy *\n", " (vn[1:-1, 1:-1] - vn[0:-2, 1:-1]) -\n", " dt / (2 * rho * dy) * (p[2:, 1:-1] - p[0:-2, 1:-1]) +\n", " nu * (dt / dx**2 *\n", " (vn[1:-1, 2:] - 2 * vn[1:-1, 1:-1] + vn[1:-1, 0:-2]) +\n", " dt / dy**2 *\n", " (vn[2:, 1:-1] - 2 * vn[1:-1, 1:-1] + vn[0:-2, 1:-1])))\n", "\n", " u[0, :] = 0\n", " u[:, 0] = 0\n", " u[:, -1] = 0\n", " u[-1, :] = 1 #set velocity on cavity lid equal to 1\n", " v[0, :] = 0\n", " v[-1, :] = 0\n", " v[:, 0] = 0\n", " v[:, -1] = 0\n", " \n", " ax.clear()\n", " cf = ax.contourf(X,Y,p,alpha= 0.5, cmap=cm.viridis)\n", " cc = ax.contour(X,Y,p, cmap=cm.viridis)\n", " cax.cla()\n", " cb = fig.colorbar(cf, cax=cax)\n", " cq = ax.quiver(X[::skip, ::skip], Y[::skip, ::skip], u[::skip, ::skip], v[::skip, ::skip]);\n", " ax.set_xlabel('$x$')\n", " ax.set_ylabel('$y$');\n", " ax.text(0.3,1.05, \"Lid Cavity Flow Pressure Plot Time history\", transform=ax.transAxes);\n", " return cf,cc,cq" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/matplotlib/contour.py:1173: UserWarning: No contour levels were found within the data range.\n", " warnings.warn(\"No contour levels were found\"\n", "Animation size has reached 21034639 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": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "anim = animation.FuncAnimation(fig, animate, init_func=init,\n", " frames=nt, interval=20)\n", "\n", "HTML(anim.to_jshtml())\n", "#anim.save('../gifs/NSCavityLid2.gif', writer='imagemagick', fps=60)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "Our first cavity lid flow sim looks great! The animation shows the spiral pattern and the growth of the two distinct pressure fields at the corners. We'll now move forward to adapting this code to a different set" ] } ], "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 }