{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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": { "deletable": true, "editable": true }, "source": [ "This numerical tour explores fluid dynamics for image generation." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n", "\n", "library(png)\n", "library(pracma)\n", "library(imager)\n", "\n", "for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n", "}\n", "\n", "for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n", "}\n", "\n", "source(\"nt_toolbox/toolbox_wavelet_meshes/meshgrid.R\")\n", "options(repr.plot.width=5, repr.plot.height=5)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] 127 127\n", "[1] 127 127\n", "[1] 127 127\n", "[1] 127 127\n" ] } ], "source": [ "n <- 128\n", "V <- perform_blurring( array( rnorm(n*n*2), c(n,n,2) ), c(40), \"per\" )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Subsampling display operator." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "myplot <- function(V){ plot_vf(V[seq(1,n,6),seq(1,n,6),]) }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can display the vector field using arrow." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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L/8opHt2RMAAgNx4gQ6dFDP1ZjxxhsAkD07LlxAkyaIijKV8vFBtWoA4OqKrl0R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\nKIQQwqHJIBRCCOHQZBAKIYRwaDIIhRBCODQZh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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myplot(V)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "normalize <- function(V){ V/ array(rep( pmax( array(1e-9, dim(V)[1:2]), sqrt(apply(V**2, c(1,2), sum)) ), 2 ), dim(V)) }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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wy4fTtvvVXtkgc09pFnZzMujsnJarGkalWNbg8cSIAxMSrXhvUMJuvXMzjYd+DM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\nNyIxEV4vVq8O5YssXIioKMTEaGwGM8rx4xg2DFOn2vrkvDy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IiYjI71x0NgAAALNJREFUaAxCIiIyGoOQiIiMxiAkIiKjMQiJiMhoDEIi\nIjIag5CIiIzGICQiIqMxCImIyGgMQiIiMhqDkIiIjMYgJCIiozEIiYjIaAxCIiIyGoOQiIiM\nxiAkIiKjMQiJiMhoDEIiIjIag5CIiIzGICQiIqMxCImIyGgMQiIiMhqDkIiIjMYgJCIiozEI\niYjIaAxCIiIyGoOQiIiMxiAkIiKjMQiJiMhoDEIiIjIag5CIiIz2/07Xbr9OVyQ4AAAAAElF\nTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myplot(normalize(V))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "grid <- meshgrid_2d(0:(n-1), 0:(n-1))\n", "Y <- grid$X ; X <- grid$Y\n", "mu <- sin(X*pi/n)**2\n", "mu <- -4*(mu + t(mu))\n", "mu[1,1] <- 1" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Computation of $A$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "A <- function(V){ FFT <- fft( div(V[,,1], V[,,2], bound=\"per\") )\n", " return( Re( fft( FFT/mu, inverse=TRUE)/length(FFT) ) ) }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Projection on incompressible flows." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "ProjI <- function(V){ V - grad(A(V), bound=\"per\") }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display $U=\\text{Proj}_{\\Ii}(V)$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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ggFQRAEp0YKYaqwfTvNnm1GnDyZmjWjc+fY4qRJFB5Ohw8T9yngiRMpPJwOHKDE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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U <- ProjI(V)\n", "\n", "myplot(U)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display $W=U-V$ the irrotational component of $V$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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g2xo2WlFJ8RMlYoPh76+gINK55LSMD06fj6a+HsgweA4FKOt2XpUm1SCgVWrACA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\nqVXs1euvWeFPPw4ffq6ofLj292eJEuoltacfR48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27YNeLyDWrAk/P7i5ISgIZ84Ij/vRR6hYEdcf3YEAACAASURBVNWqCYsvByXM7949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\nHEyYUFBbmb8LCMDx40r6nZYqhUePpK8dHFC5Mvz8ULkyfHxQowY8PfMNurk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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "myplot(V-U)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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, "deletable": true, "editable": true }, "outputs": [], "source": [ "f <- as.matrix(load_image(\"nt_toolbox/data/lena.png\", 2*n))\n", "f <- f[(n-round(n/2)+1):(n+round(n/2)),(n-round(n/2)+1):(n+round(n/2))]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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, "deletable": true, "editable": true }, "outputs": [], "source": [ "U <- normalize(ProjI(V))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Helper function: enforce periodicity." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "periodic <- function(P){ mod(P,n) }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Helper function: extend an image by 1 pixel to avoid boundary problems." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "extend1 <- function(f){ ext <- array(0, c(dim(f)[1], dim(f)[2]+1))\n", " ext[,1:dim(f)[2]] <- f\n", " ext[,dim(ext)[2]] <- f[,1]\n", " return(ext) }\n", "\n", "extend <- function(f){ t(extend1(t(extend1(f)))) }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Helper function: bilinear interpolation on a grid." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "myinterp <- function(f1, Pi){\n", " dim_f1 <- dim(f1)\n", " f1 <- as.cimg(t(f1))\n", " locations <- data.frame(x=as.vector(Pi[,,2]), y=as.vector(Pi[,,1]))\n", " return( as.matrix(as.cimg(imager::interp(f1, locations))) )\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "First we compute the initial and wraped grids." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "grid <- meshgrid_2d(1:n, 1:n)\n", "Y <- grid$X ; X <- grid$Y\n", "P <- array(0, c(dim(X),2)) ; P[,,1] <- X ; P[,,2] <- Y" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Defines the warping operator $\\Ww_U$." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "W <- function(f, U){ myinterp(extend(f), periodic(P - U)) }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display a warped image $\\Ww_{\\rho U}(f)$ for some scaling $\\rho$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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eXILvFB50uWopEpsvGpT32qGrfeemtzIpKjYu/Zi9lreQjzuM0PtIbdenOpvRxN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\nrmdNlB2r5tmLr/CTrJFnmS3HIf4To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9\n++yz9Z/IK+BERK6yzB+V5OIyVqxedA/YIc7ubI1IOS+a7tQKb7rRqVsE1qqdleaOIbSLs49F\ngh05cqQajC3BwK6lhbFkBFx2qlny/4EW/gMy1llh+QqBSYZMTs2d4sLx+fQHn++18CQUZXA8\n7E3sq4tDeczZhU+YWkw/J4iATjZdLsGJHfwDdFw00aGMZJ2dSTIyeSMMIYQwNHkQhhBCGJqo\n0YXj5MmT+/fvn2Yk55VXXlkNYsOQQvhPFA2ShMryO3furAYpRjEqiDIXN3c9eiTV3r17q4Fj\ncRwgle5RcD/+8Y+nmZpQPj5wUagkpJCXgeOCODVSCMvEV4ShEu+KgGIoUIWuWsX4c1IHlNYB\n7bVMZ3m1NS/YqnkbL58HroVBfumll6rREZVOXMk2dQqH0S4ljaeZ28o05hOvo+e+WI1yN+m5\nzTz95OyYQIJFmdid8M6a4b4Wq1HOaCfsEGUGliPz+2WouRbctVMKMFeZot6LX2LTw+QanfJG\nGEIIYXDyIAwhhDA0UaOLSCkUisKQRxS3iSZyECZCBsdC9CkxdagVAsmIz0SkeDE1Dq3iP6cZ\ny4TRQshceuml1SAL4u7du6cZBeSEpV7Jzr70E6vD1VkDsrvtK8dxRgIGkNwCnIK9XLOe3ZtV\n3naSXkc/T414Z550DGGn5D33hehi5w1ApnG99s9edN8kWcVtdmrEOxTTC+o5kcMyrcc5qfPN\n2rVyp1588cVqUKfMDnOpCGTfIK7Fk42BpTOdPAkOx/UoefU9MP34cwCGn9lLN/izRV0UynRk\n8kYYQghhaPIgDCGEMDRRowvHRRddVIvZEY8ozSryPp0uVo0si9ae1k0uQ8/uxJqiLtGwxBny\nCWCrNm7c2HT1rrvuqkaZXiRYJwkn/bR6pVcur+OKSC7Kg0Oje1wLIsvLlq22LBhp1Fd2X2C9\n5hEACzfLNKtRPrEK9sprxhaZ1ukY3eCADFfzn77RLoTExtwXz1U6zPQjyNO3vqMcqbVUin6a\n+VnZUXu0myyj/gE67wQ/imaITru7x8QmeZ5YYheQ4kZwHP4OUvDnjJHJG2EIIYShyYMwhBDC\n0ESNLhwrVqwo1YPTQHfUmvRpxgVdcMEF1fDqb2LDCINEiaAcaRBKR9JRHCmZRYmyc70kcp9u\n2rSpGqyD/t73vsd1TTOasVNF3eW/aVhO2k0xOC5c7owEzk5pyeykoLhWztWEKXZ63sFX1/HG\nnYLy4GQFnQSnnQX+S1WbAvwqMpZYRCaJBSa3jKluv427JoSY+8LunN31p7i/LJ8ns6jDWS0q\nmzSzvpudmGcuynPeY84v0QkTGBPwvXNsrSU2NN44ZZimvBGGEEIYnDwIQwghDE3U6OJC1Bka\nCn/iZemIUISMaxhZ7PAJBonaNMRVEmVHfk6XWLrmmmuas//DP/xDNRob2akj7+5hINGVeB76\ngDFjcNiG3V1ZCVvFxvTT9aFcnYfh8sJ8Gg2ummQ6Q+EV+natVo6dIkE+l+cb+IA0ai/3k8EH\n22w+8XiyDY7deRK8wJyec6OPHz9ejT179lSDMFRwiSsLz7qujkbmIEwk+162weX6WpjY7pX9\npyNLOwv8/dOry0yu0SlvhCGEEAYnD8IQQghDEzW6cHzoQx+qpc2E27GUGF2JBmRxsdNpErZn\nG+YSORTyxnaSWfTBBx+sxrp166px8cUXVwMjynG++c1vVmPXrl3VQNFUV9FEdjidFfHoLCs+\nJwewm3LVG07KKDGSqFG+8tpzrtcL6mtju8R5cC5KKzjXOeos3vcntoiOLHWa0E60ZOHBd85b\nBzR6HnoEMKIc0FOoEyz63HPPVeOVV145bc9n6azHr85bPntf8MCiixkKz0z/tcIb+1z+XTia\nmr0OHDhQjZrhyOeRyRthCCGEocmDMIQQwtBEjS4cr7/++rFjx6Zp2rBhQ33CIncv8XYaQ3wg\nqSNxI0gqPkFkEWKKfb333nurQTwqlZVwpHTs7rvvrsY999zTnKIpCeQwuc4qY4yZq88zAoiy\npmLO7Cmc/tGVhizlUKMc2aGbCFWGvRo2XZZX0HGb4O45XUCnrlPHmrpjHUMIDEWdopMewVk0\nOVGToPW0J3IFKA8gx0EnEuFcP6XZDjuG0xbRU6j26iQj7SyE95h4YNmYGdVZ5m+/DZ3cp8Ap\nStUSdz0yeSMMIYQwNHkQhhBCGJqo0YXjzTffrIhN4uV27NhRDZwGKUYRIEghItNef/31aqA0\nnQ4RtcInjs/csmVLNQgWRY0+8cQT1fjhD39YDTSLLVNj5yzTXHLdWSWBa+E4yEnHEGJWOxXG\nEaGMAA2LWV8dt6Y2tqX09dqq+RP3EzrFkhwY2Yly9Fc+qU/RqFHHsnr9u09ks8cZCZmm0XHC\nGH6Wz5MXlwnZyWSLlvSwM6mq86521BHU/tuEs6165b6trENqOY5zIHTSpXLS8847rxo1w31f\nBiRvhCGEEIYmD8IQQghDEzW6cFCGCeFDcW0sJf7k5Zdfrga2BMeyf//+aqBEOCBmFemHgMJN\nUbyJFfo0WHL+/e9/vxqHDh1qzm5N1wS4WuawL06SbeYp3gSciK+8Defq5D5tbOc0Y6IciMtV\nVK4DR0jScyfhtMn0anefulOLxwfsJDjtrM72Nkud1GrUn/hodn3caNesZ9waKzvNlGpizruW\nlsetE1vrSNrqIUfz1PIwOi4afHwmG3jMndjWWXmddNQ+/9xzz53dBv07MnkjDCGEMDR5EIYQ\nQhiaqNGFY82aNVu3bp1OZxcJiiM1KAFg5COljhJmBrPqauwYQg5I4sFOUZ4777yzGo899lg1\niM2zDmoC7WxKHb5oWUrDcYx8wokQR9bFlmCdle9oTw7oYEKSvjbhlFhowK/adkJndT/MU1ne\n+CZ2xGBngX+Te3NSEs5OZzoLw7lwzwonQ+AUDPLRo0erQfV5FKsvvLNQ3ekpoCnm3qld9YFS\nv3oZvis0OY6UCUl9MYbCPyJPdf6nUX/sILp1ZPJGGEIIYWjyIAwhhDA0UaMLx1lnnVXKglg4\nKsgQSucC68SzES/HCnE2xo04AI9PiCjbuHFjc9Lvfve71cCIWsg4CLPBPspOqVOkxvLKtdGd\nGrQjqWgQE4scZkxwpJ2V5o2PdXIA9mU8fXX+xB12tG1Hn3bEoD/pWGKbz0bledW8R8CL0Ds9\nn2djfiDUFeKWMche8O6uemxdrqs61snd6thOvKVTBHfikO1I/ZNplvlPMwK5Y5t9UfV/hkSN\nTnkjDCGEMDh5EIYQQhiaqNGF4+23365YRNbYolawLuQRveSSS5qvbClZ/85xKJ+EbOET1tqz\n8UMPPVQNStWzih9niHXB5wDHaVZeWwPSYeertNXxmOCmvB7flqlT+d0htb5MnPBSK5rpHqq5\nU8HHEbbs3ineBPOYzHkiQr27PZtFZY0/d6Ej4rit81Rf6sT3MviVkneaqbWE5WPmOAXoPHGV\nvpw6jiNXwYelM57qTEgunDvuC/e4EfbJTxsN61hTH5C/lTQdHpkMQQghhKHJgzCEEMLQRI0u\nHB/+8IfLT+JnWEfPiniMzfr166tB0GMtxp9mBAh7vfjii9VA0SD9SNK4bdu2auzbt68ad9xx\nRzX27NlTDVeHtwfrVFRv6NRV99EsuLw+mhM52tNKqlF80+lMUSfzJ+DiKl6RXYj4JYjXS8UJ\ncfQZfb0u5eNx6yzu7uQjtYZtVs3P0ug+15F3cR87YWd8dUUqd5j5zDr6ZvCn0yUF9YTxrfdy\n/iYq2HeBzniOedJ2Zq+Dip03gM4wl/g/Q+cUwNief/75swdsTOmY5I0whBDC0ORBGEIIYWii\nRheO5cuXl9bAYADhmtgM+0CkzUc+8pFqYG/wRQSdIlSxpmvWrKnG3XffXQ1KLDmYECVlleSw\nuvqELclwaFHWWUztjcHmDVzj2+lMHTqIKHOl+/etwsMQsejbgssr6zsL6juJMTshl1aavomd\nglmdRdnNSTvBqJ2Uqp42BN861pFtSKvLpOW+0OA4nTyilq7+pInj5XfH574o+2RfrxfCc0Zm\nhbNVePem1vzUDU520au6ilSon/JGGEIIYXDyIAwhhDA0UaMLx7vvvls2ibXYCEzMjw0hK2pZ\nhk9omWskUZiJbViSfPnll1eDlJt0A6PC7vOsnqbR1OtxllTHiHaWikNz/Ol0hbyxagyXN7Yj\ntUyz+G0sE8dhMTU95y5wIuSwgyedJcA5PF2m3NXJ56m11KlH78ZSY9KpT9Sp/25B3Qkfxf4R\niMuQOlCT3Z2W00durmWaGf9mGrufnbJT8/y9wAf07v45OOrbQ+raYRyQv7DU/zTYcmTyRhhC\nCGFo8iAMIYQwNFGjC8eKFStKQNmhoYD+T3t3kNJKEAVQ1L8HcSZuwVn24cRNueg/KHiEftA4\n/Px7zqhJUGMbualKpWumE2duZKZGZ7HoXhY429DPZMisaZxbfn5+zsFMsc7k0p7sutlqfC//\nu6wanV/h+Re/fMnNcrs9H7j32dn2TOPYs803k4d7sejlYezLnM75nAm9+dvNqdgT3XPOb/Zw\nn1v2tlN7SvlmDefYSyL3r3lZyrifCb+ZPBx7Fe6+OMAsfp4LbO5Jzj3BuK8/sGdEx36ajXPL\n/ol7rniWfe6nzX7jYL58L/R9fX09B/O2xXx8fhaUfn19nYPv7+9zMFfYmP/oeSNjFtnO/+bZ\nsu3j4+Mlz4gQgDQjwn/O+/v7OZhX3/PppfmQ377I2b7a2dwyn0ecsci8IN0bPpyNL16eXlHu\n1RkzuLkZqO134M9d8yV7O9B9abS95OFmmcB+yX/Z+OL5YA8Uxh4P3Qx39h7C5xvOn2xefc9J\n2yPXGf/NwTy8GVDuPZnnR998zuzminf7rrHvutlu9/Jt9zXDtv0T934jMzie7/P29nYO5pzM\nwq45XfM82dt33Iwa9znZK7nOA/vNRg0zfzM7w8wA7rJ788vT03jOwP5Dz6d+5/KHc9fn5+c5\nmBVte3y/9z95PB7n4JzkOY1lf34zcQEA/ytTowCkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQ\nApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEA\naUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAm\nhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUII\nQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACk\nCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQ\nApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEA\naUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAm\nhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACkCSEAaUIIQJoQApAmhACk/QWJQ9J4\nkaHPNAAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rho <- 2\n", "options(repr.plot.width=5, repr.plot.height=5)\n", "imageplot(W(f, rho*U))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 1__\n", "\n", "Display $\\Ww_{\\rho U}(f)$ for various values of $\\rho$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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MHYDRn1el1zs6kS5h5RKCWTk5PWVyyIw4JqQm31dESolZmAWZMK1qhHtKAVsRxa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\n86yhpp1OhwNpZUXspIYJB2OnNJ7q7TSfaOqXzaG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wOMO4MhYXF6FbUNwyoiDkIigbiwTVpPVaGLMVVV8AACAASURBVJ/Qe9deey3zi9lB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"text/plain": [ "Plot with title \"rho = 16\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "source(\"nt_solutions/graphics_5_fluids/exo1.R\")" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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2FQ2gUPBr/hRrs36Qoqm6zkEzxRFqYANf5oZn3cjcthTUWhGHvAVUFqLrzIupzA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\n7AyKHS+GDVeJpa9UCKYZcrG8A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"text/plain": [ "Plot with title \"t = 12\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "source(\"nt_solutions/graphics_5_fluids/exo2.R\")" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "nu <- 1/10" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We use a larger viscosity $\\mu$ for the evolution of the density of\n", "particules." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "mu <- 2*nu" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Wt <- function(V, U){ x <- W(V[,,1],U)\n", " y <- W(V[,,2],U)\n", " out <- array(0, dim(V))\n", " out[,,1] <- x ; out[,,2] <- y\n", " return(out)}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We discretize the PDE's using some time step $\\tau$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "tau <- .5" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "V <- normalize(ProjI(V))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Set the initial density $g=g^{(0)}$ at time $t=0$." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "g <- f" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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, "deletable": true, "editable": true }, "outputs": [], "source": [ "g <- W(g, tau*U)\n", "V <- Wt(V, tau*U)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We implement the Laplacian using finite difference." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "s1 <- c(2:n,1)\n", "s2 <- c(n,1:(n-1))\n", "\n", "Delta <- function(g){\n", " if (length(dim(g))==2) { 1/4.*(g[s1,] + g[s2,] + g[,s1] + g[,s2]) - g }\n", " else if (length(dim(g))==3) { 1/4.*(g[s1,,] + g[s2,,] + g[,s1,] + g[,s2,]) - g } }" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The second step is to diffuse the vector field and the density." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "V <- V + tau*nu*Delta(V)\n", "g <- g + tau*mu*Delta(g)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The last step is to ensure incompressibility of $V$ by projecting on $\\Ii$." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "V <- ProjI(V)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 3__\n", "\n", "Compute the fluid dynamic by iterating these steps." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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QPcXcfHx2zZ8uKZ+OXyfO2uIsVOCCGEEKIjSLGbMEtLS/AVcnFz9xg4EIQVIHix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N1tfXdSUm/8dcVAt6Q8UIJaKdnR0sShzLMxyPgpAAACAASURBVPZU7CxsQv9ExS51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\n9dSLfDCEkJZ4MW3dJ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eOB0TiKZGQ4f1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\n8s18JyNFVIzRcLoU6tKdHZeKnRYrKbkRbSzLzA9WMlgtWCh27nKV5IxZO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"text/plain": [ "Plot with title \"Time = 24\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "source(\"nt_solutions/graphics_5_fluids/exo3.R\")" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.2" } }, "nbformat": 4, "nbformat_minor": 1 }