{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Fluid Dynamics\n", "==============\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This numerical tour explores fluid dynamics for image generation." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import division\n", "\n", "import numpy as np\n", "import scipy as scp\n", "import pylab as pyl\n", "import matplotlib.pyplot as plt\n", "\n", "from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Velocity Flow Field\n", "-------------------\n", "A velocity flow is simply a 2-D vector field $V = (V_i)_{i=1}^N \\in \\RR^{n \\times n \\times 2}$\n", "where $V_i \\in \\RR^2$ is one of the $N=n \\times n$ vectors at a position indexed by $i$.\n", "\n", "\n", "It can be generated as a realization of Gaussian process.\n", "The blurring creates correlations in the flow." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from numpy import random\n", "from nt_toolbox.perform_blurring import*\n", "\n", "n = 128\n", "V = perform_blurring(random.randn(n, n, 2),np.asarray([40]), \"per\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Subsampling display operator." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from nt_toolbox.plot_vf import * \n", "myplot = lambda V: plot_vf(V[np.ix_(np.arange(0,n,6),np.arange(0,n,6),np.arange(2))])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can display the vector field using arrow." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAGiCAYAAACoFbIoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBAWSiIg04S+glti9KL2gewAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (7,7))\n", "myplot(V)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can renormalize the flow, which enhances the singularities. It defines\n", "$\\tilde V$ as $\\tilde V_i = V_i/\\norm{V_i}$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "normalize = lambda V: V/(np.repeat(np.maximum(1e-9*np.ones(np.shape(V)[:2]), np.sqrt(np.sum(V**2, 2)))[:,:,np.newaxis],2,axis=2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAGiCAYAAACoFbIoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8kq+k5qyAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (7,7))\n", "myplot(normalize(V))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Incompressible Flows\n", "--------------------\n", "An incompressible flow has a vanishing divergence. The set of vector\n", "incompressible flow defines a sub-space of $\\RR^{n \\times n \\times 2}$\n", "$$ \\Ii = \\enscond{V}{ \\text{div}(V)=0 }\n", " \\qwhereq \\text{div}(V) = \\pd{V}{x_1} + \\pd{V}{x_2} \\in \\RR^{n \\times n}. $$\n", "Here $\\pd{}{x_s}$ for $s=1,2$ are finite differences approximation of\n", "the horizontal and vertical derivative operators (we suppose here periodic boundary conditions).\n", "\n", "\n", "\n", "The orthogonal projection $U = \\text{Proj}_{\\Ii}(V)$ on $\\Ii$ is\n", "computed by solving a Poisson equation\n", "$$ U = V-\\nabla A \\qwhereq \\Delta A = \\text{div}(V). $$\n", "\n", "\n", "This is especially simple for periodic boundary conditions since $A$ can\n", "be computed over the Fourier domain as\n", "$$ \\forall \\om \\neq 0, \\quad \\hat A(\\om) = \\frac{\\hat Y(\\om)}{\\mu(\\om)}\n", " \\qwhereq Y = \\text{div}(V) \\qandq\n", " \\mu(\\om_1,\\om_2) = -4 \\sin(\\om_1 \\pi / n)^2 -4 \\sin(\\om_2 \\pi / n)^2 $$\n", "and $\\hat A(0)=0$.\n", "\n", "\n", "\n", "Compute the kernel $\\mu(\\om)$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Y, X = np.meshgrid(np.arange(0,n),np.arange(0,n))\n", "mu = np.sin(X*np.pi/n)**2\n", "mu = -4*(mu + np.transpose(mu))\n", "mu[0,0] = 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Computation of $A$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from nt_toolbox.div import *\n", "\n", "A = lambda V: np.real(pyl.ifft2(pyl.fft2(div(V[:,:,0], V[:,:,1], bound=\"per\"))/mu))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Projection on incompressible flows." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from nt_toolbox.grad import *\n", "\n", "ProjI = lambda V: V - grad(A(V), bound=\"per\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display $U=\\text{Proj}_{\\Ii}(V)$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAGiCAYAAACoFbIoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U = ProjI(V)\n", "\n", "plt.figure(figsize=(7,7))\n", "myplot(U)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display $W=U-V$ the irrotational component of $V$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAGiCAYAAACoFbIoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCn8BYx/qwzVGpAMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7,7))\n", "myplot(V-U)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the decomposition $V=U+W$ is called the Hoge decomposition of\n", "the vector field.\n", "\n", "\n", "Image Advection Along the Flow\n", "------------------------------\n", "A flow defines a warping operator that transport the content of an image\n", "along the streaming of the flow.\n", "\n", "\n", "We load an image $f$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "f = load_image(\"nt_toolbox/data/lena.bmp\", 2*n)\n", "f = f[np.ix_(np.arange(n-n//2,n+n//2),np.arange(n-n//2,n+n//2))]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given some vector field $U$, the warping operator $f_1 = \\Ww_U(f)$\n", "along the flow is defined\n", "$$ f_1(x) = f(x+U(x)) $$\n", "i.e. it advects the values of $f$ by the vector field $U$ to obtain the values of $f_1$.\n", "\n", "\n", "We define $U$ as a scaled normalized incompressible flow." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "U = normalize(ProjI(V))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Helper function: enforce periodicity." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "periodic = lambda P: np.concatenate(((P[:,:,0]%n)[:,:,np.newaxis], (P[:,:,1]%n)[:,:,np.newaxis]), axis=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Helper function: extend an image by 1 pixel to avoid boundary problems." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "extend1 = lambda f: np.hstack((f,f[:,[0]]))\n", "extend = lambda f: np.transpose(extend1(np.transpose(extend1(f))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Helper function: bilinear interpolation on a grid." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy import interpolate\n", "\n", "def myinterp(P1,f1,Pi):\n", " return interpolate.griddata(P1, np.ravel(f1),(Pi[:,:,1],Pi[:,:,0]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we compute the initial and wraped grids." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Y, X = np.meshgrid(np.arange(0,n),np.arange(0,n))\n", "P = np.concatenate((X[:,:,np.newaxis],Y[:,:,np.newaxis]),axis=2)\n", "Y1, X1 = np.meshgrid(np.arange(0,n+1),np.arange(0,n+1))\n", "P1 = np.concatenate((np.ravel(Y1)[:,np.newaxis],np.ravel(X1)[:,np.newaxis]),axis=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Defines the warping operator $\\Ww_U$." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "W = lambda f, U: myinterp(P1, extend(f), periodic(P - U))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display a warped image $\\Ww_{\\rho U}(f)$ for some scaling $\\rho$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAToAAAE3CAYAAAA63I2CAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\notvY2Lh67BfdxsbG1eN/AzAi4xScC27YAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rho = 2\n", "plt.figure(figsize = (5,5))\n", "imageplot(W(f, rho*U))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 1__\n", "\n", "Display $\\Ww_{\\rho U}(f)$ for various values of $\\rho$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlEAAAJZCAYAAACJL2CzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVFEURVEUxRb4P9Zz81oU3k/YAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/graphics_5_fluids/exo1" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 2__\n", "\n", "Define an iterative scheme via:\n", "$$ f^{(\\ell+1)} = \\Ww_{\\rho U}(f^{(\\ell)}). $$\n", "Display the result $f^{(\\ell)}$, which corresponds approximately to solving\n", "an advection equation at time $t=\\ell \\rho$." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlEAAAJZCAYAAACJL2CzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/graphics_5_fluids/exo2" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fluid Dynamics\n", "--------------\n", "Fluid dynamics solves the incompressible Navier-Stokes equations to\n", "evolve in time the vector field.\n", "\n", "\n", "We discribe here a simple algorithm introduced in:\n", "\n", "\n", "J. Stam, _Stable Fluids,_\n", "SIGGRAPH'99, 1999, p. 121-128.\n", "\n", "\n", "It proposes a semi-implicit scheme for the resolution of the Navier\n", "Stockes equations for the movement of incompressible fluids\n", "$$\n", " \\pd{V}{t} =\n", " \\text{Proj}_{\\Ii}\\pa{\n", " -(V \\cdot \\nabla) V + \\nu \\Delta V + W\n", " }.\n", "$$\n", "Here $\\nu \\geq 0$ is the viscosity of the fluid,\n", "$W$ is a source term, $\\Delta$ is the Laplacian, and\n", "$-(V \\cdot \\nabla) V$ is the\n", "non-linear self-advection, where we have used the short-hand\n", "notation $V \\cdot \\nabla$ for the derivative operator along a flow $V$:\n", "$$ (V \\cdot \\nabla)U = ( V_1 \\pd{U_1}{x_1} + V_2 \\pd{U_1}{x_2},\n", " V_1 \\pd{U_2}{x_1} + V_2 \\pd{U_2}{x_2} ).$$\n", "\n", "\n", "In order to visualize the flow, we also advect and diffuse along the flow\n", "a density $g$ of particules, which is a scalar field. Once $V$ has\n", "been computed, it follows a linear PDE\n", "$$\n", " \\pd{g}{t} =\n", " -(V \\cdot \\nabla) g + \\mu \\Delta g + h\n", "$$\n", "with some initial condition at time $t=0$, where $h$ is a source for the density.\n", "\n", "\n", "In practice, we solve this PDE in parallel to the PDE for $V$.\n", "\n", "\n", "In the following, we use $W=0$ and $h=0$ (no sources).\n", "\n", "\n", "Set the viscosity $\\nu$ for the velocity field." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "nu = 1/10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use a larger viscosity $\\mu$ for the evolution of the density of\n", "particules." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "mu = 2*nu" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Extend the warping operator $\\Ww_U$ to work with vector fields as input.\n", "This will apply $\\Ww_U$ on each channel of the vector field (X and Y coordinates)." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Wt = lambda V, U: np.concatenate((W(V[:,:,0],U)[:,:,np.newaxis],W(V[:,:,1],U)[:,:,np.newaxis]),axis=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We discretize the PDE's using some time step $\\tau$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tau = .5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The algorithm computes $V^{(\\ell)}$ at iteration $\\ell$\n", "which is an approximation of the PDE solution at time $\\ell \\tau$.\n", "It is computed itertatively as\n", "$$\n", " \\tilde V^{(\\ell)} = \\Ww_{\\tau V^{(\\ell)}}( V^{(\\ell)} )\n", " \\qandq\n", " V^{(\\ell+1)} = \\text{Proj}_{\\Ii}\\pa{ \\tilde V^{(\\ell)} + \\tau\\nu\\Delta \\tilde V^{(\\ell)} + \\tau W }\n", "$$\n", "\n", "\n", "It computes in parallel the evolution of the density as\n", "$$\n", " \\tilde g^{(\\ell)} = \\Ww_{\\tau V^{(\\ell)}}( g^{(\\ell)} )\n", " \\qandq\n", " g^{(\\ell+1)} = \\tilde g^{(\\ell)} + \\tau\\nu\\Delta \\tilde g^{(\\ell)} + \\tau h\n", "$$\n", "\n", "\n", "\n", "Set the initial field $V=V^{(0)}$ at time $t=0$." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "V = normalize(ProjI(V))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set the initial density $g=g^{(0)}$ at time $t=0$." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [], "source": [ "g = np.copy(f)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step is to advect the vector field $V$ and $g$ along the flow $V$ itself.\n", "This corresponds to an implict discretization of the term\n", "$-(V \\cdot \\nabla) V$." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [], "source": [ "g = W (g, tau*U)\n", "V = Wt(V, tau*U)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We implement the Laplacian using finite difference." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [], "source": [ "s1 = np.hstack((np.arange(1,n),[0]))\n", "s2 = np.hstack(([n-1],np.arange(n-1)))\n", "\n", "Delta = lambda g: 1/4.*(g[s1,:] + g[s2,:] + g[:,s1] + g[:,s2]) - g" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second step is to diffuse the vector field and the density." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [], "source": [ "V = V + tau*nu*Delta(V)\n", "g = g + tau*mu*Delta(g)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The last step is to ensure incompressibility of $V$ by projecting on $\\Ii$." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [], "source": [ "V = ProjI(V)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 3__\n", "\n", "Compute the fluid dynamic by iterating these steps." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlEAAAJZCAYAAACJL2CzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/graphics_5_fluids/exo3" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }