{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Laboratory 10: Numerical Advection Schemes #\n",
    "\n",
    "Carmen Guo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "toc": "true"
   },
   "source": [
    " # Table of Contents\n",
    "<div class=\"toc\" style=\"margin-top: 1em;\"><ul class=\"toc-item\" id=\"toc-level0\"><li><span><a href=\"http://localhost:8891/notebooks/lab10/01-lab_10.ipynb#Laboratory-10:-Numerical-Advection-Schemes\" data-toc-modified-id=\"Laboratory-10:-Numerical-Advection-Schemes-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Laboratory 10: Numerical Advection Schemes</a></span><ul class=\"toc-item\"><li><span><a href=\"http://localhost:8891/notebooks/lab10/01-lab_10.ipynb#List-of-Problems\" data-toc-modified-id=\"List-of-Problems-1.1\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>List of Problems</a></span></li><li><span><a href=\"http://localhost:8891/notebooks/lab10/01-lab_10.ipynb#Advection-Process\" data-toc-modified-id=\"Advection-Process-1.2\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>Advection Process</a></span></li><li><span><a href=\"http://localhost:8891/notebooks/lab10/01-lab_10.ipynb#Simple-Solution-Using-Centred-Differencing-Scheme\" data-toc-modified-id=\"Simple-Solution-Using-Centred-Differencing-Scheme-1.3\"><span class=\"toc-item-num\">1.3&nbsp;&nbsp;</span>Simple Solution Using Centred Differencing Scheme</a></span></li><li><span><a href=\"http://localhost:8891/notebooks/lab10/01-lab_10.ipynb#Numerical-Solution-Using-Upstream-Method\" data-toc-modified-id=\"Numerical-Solution-Using-Upstream-Method-1.4\"><span class=\"toc-item-num\">1.4&nbsp;&nbsp;</span>Numerical Solution Using Upstream Method</a></span></li><li><span><a href=\"http://localhost:8891/notebooks/lab10/01-lab_10.ipynb#A-Better-Solution\" data-toc-modified-id=\"A-Better-Solution-1.5\"><span class=\"toc-item-num\">1.5&nbsp;&nbsp;</span>A Better Solution</a></span><ul class=\"toc-item\"><li><span><a href=\"http://localhost:8891/notebooks/lab10/01-lab_10.ipynb#Problem-One\" data-toc-modified-id=\"Problem-One-1.5.1\"><span class=\"toc-item-num\">1.5.1&nbsp;&nbsp;</span>Problem One</a></span></li></ul></li><li><span><a href=\"http://localhost:8891/notebooks/lab10/01-lab_10.ipynb#Conclusion\" data-toc-modified-id=\"Conclusion-1.6\"><span class=\"toc-item-num\">1.6&nbsp;&nbsp;</span>Conclusion</a></span></li><li><span><a href=\"http://localhost:8891/notebooks/lab10/01-lab_10.ipynb#References\" data-toc-modified-id=\"References-1.7\"><span class=\"toc-item-num\">1.7&nbsp;&nbsp;</span>References</a></span></li></ul></li></ul></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## List of Problems ##\n",
    "\n",
    "- [Problem One](#Problem-One)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Advection Process##\n",
    "\n",
    "The word advection means ‘transfer of heat through the horizontal motion\n",
    "of a flow’. More generally, we will consider a flow of some\n",
    "non-diffusive quantity. For example, consider the wind as a flow and the\n",
    "water vapour in the air as the non-diffusive quantity. Suppose the wind\n",
    "is travelling in the positive x direction, and we are considering the\n",
    "vapour concentration from $x=1$ to $x=80$.\n",
    "\n",
    "Assume that initially the distribution curve of the vapour is Gaussian\n",
    "([Figure Initial Distribution](#fig:initial)). Ideally, the water droplets move at the\n",
    "same speed as that of the air, so the distribution curve retains its\n",
    "initial shape as it travels along the x-axis. This process is described\n",
    "by the following PDE: \n",
    "\n",
    "<a name='eqn:advection'></a>\n",
    "(Advection Eqn)\n",
    "$$\\frac{\\partial c}{\\partial t} + u \\frac{\\partial c}{\\partial x} = 0$$ \n",
    "where $c$ is the concentration of the water\n",
    "vapour, and $u$ is the speed of the wind (assuming the wind is blowing\n",
    "at constant speed)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 2,
     "metadata": {
      "image/png": {
       "width": "60%"
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='images/initial.png',width='60%') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name='fig:initial'></a>\n",
    "**Figure Initial Distribution:** This is the initial distribution of water vapour concentration.\n",
    "\n",
    "As you will see in the upcoming examples, it is not easy to obtain a\n",
    "satisfactory numerical solution to this PDE."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple Solution Using Centred Differencing Scheme ##\n",
    "\n",
    "Let’s start off simple and solve the PDE ([Advection Eqn](#eqn:advection)) using\n",
    "centred differences, *i.e.*, by expanding the time and spatial derivatives\n",
    "in the following way:\n",
    "\n",
    "<a name='eqn:centered'></a>\n",
    "(Centered Difference Scheme)\n",
    "$$\\frac{\\partial c}{\\partial t}(x=m dx, t=n dt) =\\frac {c(x=m dx, t=(n+1) dt) - c(x=m dx, t=(n-1) dt)}{2 dt}$$\n",
    "$$\\frac{\\partial c}{\\partial x}(x=m dx, t=n dt)=\\frac {c(x=(m+1) dx, t=n dt) - c(x=(m-1) dx, t=n dt)}{2 dx}$$\n",
    "\n",
    "where $m=2, \\ldots, 79$, and $n=2, \\ldots$. Substitution of the\n",
    "equations into the PDE yields the following recurrence relation:\n",
    "$$c(m, n+1)= c(m, n-1) - u \\frac{dt}{dx} (c(m+1, n) - c(m-1, n))$$\n",
    "\n",
    "The boundary conditions are : $$c(x=1 dx)= c(x=79 dx)$$\n",
    "$$c(x=80 dx)= c(x=2 dx)$$\n",
    "\n",
    "The initial conditions are :\n",
    "$$c(x=n dx) = \\exp( - \\alpha (n dx - \\hbox{offset})^2)$$ where\n",
    "$\\hbox{offset}$ is the location of the peak of the distribution curve.\n",
    "We don’t want the peak to be located near $x=0$ due to the boundary\n",
    "conditions.\n",
    "\n",
    "Now we need the values of $c$ at $t= 1 dt$ to calculate $c$ at\n",
    "$t= 2 dt$, and we will use the Forward Euler scheme to approximate $c$\n",
    "at $t= 1 dt$. So $$\\frac{\\partial c}{\\partial t}(m, 0)= \\frac {c(m, 1) - c(m, 0)}{dt}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Substitution of the equations into the PDE yields\n",
    "$$c(m, 1) = c(m, 0) - u \\frac{dt}{2 dx}(c(m+1, 0) - c(m-1, 0))$$ where\n",
    "$m=2, \\ldots, 79$. The end points at $t= 1 dt$ can be found using the\n",
    "boundary conditions.\n",
    "\n",
    "The function that computes the numerical solution using this scheme is in\n",
    "*advection_funs.py*. It is a python function *advection(timesteps)*, which takes in\n",
    "the number of time steps as input and plots the distribution curve at 20 time steps.\n",
    "\n",
    "We can see the problem with this scheme just by running the function\n",
    "with 10 time steps ([Figure Distribution with Centered Scheme](#fig:centered)). Following is a plot of\n",
    "the distribution curve at the last time step."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 3,
     "metadata": {
      "image/png": {
       "width": "60%"
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='images/centered.png',width='60%') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name='fig:centered'></a>\n",
    "**Figure Distribution with Centered Scheme:** This is the distribution after 10 time steps approximated using the centred differencing scheme.\n",
    "\n",
    "Comparing this curve with the initial state\n",
    "([Figure Initial Distribution](#fig:initial)), we can see that ripples are produced to\n",
    "the left of the curve which means negative values are generated. But\n",
    "water vapour does not have negative concentrations. The centred\n",
    "differencing scheme does not work well for the advection process because\n",
    "it is not **positive definite**, *i.e.*, it generates negative values which\n",
    "are impossible in real life."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numerical Solution Using Upstream Method ##\n",
    "\n",
    "\n",
    "Let’s see what is wrong with our simple centred differencing scheme. We\n",
    "used centred differences to compute the time and spatial derivatives\n",
    "([Centered Difference Scheme](#eqn:centered)). In other words, $c(x=m dx)$ depends on\n",
    "$c(x=(m-1) dx)$ and $c(x=(m+1) dx)$, and $c(t=n dt)$ depends on\n",
    "$c(t=(n-1) dt)$ and $c(t=(n+1) dt)$. But we know the wind is moving in\n",
    "the positive x direction, so $c(x=m dx)$ should not depend on\n",
    "$c(x=(m+1) dx)$. Therefore, we will change the centred differencing\n",
    "scheme to backward differencing scheme. In other words, we will always\n",
    "be looking ‘upstream’ in the approximation.\n",
    "\n",
    "If we use backward differences to approximate the spatial derivative but\n",
    "continue to use centred differences to approximate the time derivative,\n",
    "we will end up with an unstable scheme. Thus, we will use backward\n",
    "differences for both time and spatial derivatives. Now the time and\n",
    "spatial derivatives are given by:\n",
    "\n",
    "<a name='eqn:upstream'></a>\n",
    "(Upstream Scheme)\n",
    "$$\\frac{\\partial c}{\\partial t}(x=m dx, t=n dt)=\\frac {c(x=m dx, t=n dt) - c(x=m dx, t=(n-1) dt)}{dt}$$\n",
    "$$\\frac{\\partial c}{\\partial x}(x=m dx, t=n dt)=\\frac {c(x=m dx, t=n dt) - c(x=(m-1) dx, t=n dt)}{dx}$$\n",
    "\n",
    "Substitution of the equations into the PDE yields\n",
    "$$c(m, n+1)=c(m, n)- u \\frac{dt}{dx} (c(m, n) - c(m-1, n))$$\n",
    "\n",
    "The boundary conditions and the initial conditions are the same as in\n",
    "the centred differencing scheme. This time we compute $c$ at $t= 1 dt$\n",
    "using backward differences just as with all subsequent time steps.\n",
    "\n",
    "The function that computes the solution using this scheme is in\n",
    "*advection_funs.py*. It is a python function *advection2(timesteps)*, which takes\n",
    "in the number of time steps as input and plots the distribution curve at 20 time steps.\n",
    "\n",
    "Although this scheme is positive definite and conservative (the area\n",
    "under the curve is the same as in the initial state), it introduces a\n",
    "new problem — diffusion. As the time step increases, you can see that\n",
    "the curve becomes wider and lower, *i.e.*, it diffuses quickly\n",
    "([Figure Upstream Distribution](#fig:upstream))."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 4,
     "metadata": {
      "image/png": {
       "width": "60%"
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='images/upstream.png',width='60%') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name='fig:upstream'></a>\n",
    "**Figure Upstream Distribution:**\n",
    "This is the distribution after 60 time steps approximated using the\n",
    "upstream method.\n",
    "\n",
    "But ideally, the curve should retain its original shape as the wave\n",
    "travels along the x-axis, so the upstream method is still not good\n",
    "enough for the advection problem. In the next section, we will present\n",
    "another method that does a better job."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A Better Solution ##\n",
    "\n",
    "In previous sections, we were concerned with values at grid points only,\n",
    "ie, values of $c$ at $x= 1dx, 2dx, \\ldots$. But in this section, we will\n",
    "also consider grid boxes each containing a grid point in the centre. For\n",
    "each grid point $j$, the left boundary of the grid box containing $j$ is\n",
    "indexed as $j- 1/2$, and the right boundary as $j+ 1/2$. The scheme\n",
    "presented here was developed by Andreas Bott ([Bott, 1989](#Ref:Bott)).\n",
    "\n",
    "The PDE ([Advection Eqn](#eqn:advection)) is rewritten as :\n",
    "\n",
    "<a name='eqn:FluxForm'></a>\n",
    "(Flux Form Eqn)\n",
    "$$\\frac{\\partial c}{\\partial t} + \\frac{\\partial uc}{\\partial x} = 0$$ \n",
    "where $F= uc$ gives the flux of water vapour.\n",
    "\n",
    "Expand the time derivative using forward differences and the spatial\n",
    "derivative as follows:\n",
    "$$\\frac{\\partial F}{\\partial x}(x=j dx)  = \\frac {F(x= (j+1/2) dx) - F(x= (j-1/2) dx)}{dx}$$\n",
    "where $F(x= j+1/2)$ gives the flux through the right boundary of the\n",
    "grid box $j$. For simplicity, we use the notation $F(x= j+1/2)$ for\n",
    "$F(x= j+1/2, n)$, ie, the flux through the right boundary of the grid\n",
    "box j after $n$ time steps.\n",
    "\n",
    "Substituting the expanded derivatives into the PDE, we obtain the\n",
    "following recurrence formula ($c(m, n)= c(x= m dx, t= n dt)$):\n",
    "$$c(m, n+1)= c(m, n) - \\frac {dt} {dx}(F(m+1/2, n)-F(m-1/2, n))$$\n",
    "\n",
    "Since flux is defined as the amount flowing through per unit time, we\n",
    "need to calculate the portion of the distribution curve in each grid box\n",
    "that passes the right boundary after $dt$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {
      "image/png": {
       "width": "60%"
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='images/flux.png',width='60%') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name='fig:flux'></a>\n",
    "**Figure Amount Leaving Grid:**\n",
    "After $dt$, the shaded area will be past the right boundary of the\n",
    "grid box $j$.\n",
    "\n",
    "As ([Figure Amount Leaving Grid](#fig:flux)) shows, the distribution curve in grid box $j$\n",
    "has travelled a distance of ${u dt}$ after each time step; in other\n",
    "words, the curve has moved $u dt/dx$ of a grid space within a time unit.\n",
    "The shaded region is the portion of the vapour that passes the right\n",
    "boundary of grid box $j$ within $dt$. We can use integration to find out\n",
    "the area of the shaded region and then divide the result by $dt$ to get\n",
    "$F(j+1/2)$.\n",
    "\n",
    "Since we only know $c$ at the grid point $j$, we are going to use\n",
    "polynomial interpolation techniques to approximate $c$ at other points\n",
    "in the grid box. We define $c$ in grid box $j$ with a polynomial of\n",
    "order $l$ as follows:\n",
    "\n",
    "$$c _{j, \\ell}(x^\\prime) = \\sum _{k=0} ^{\\ell} a _{j, k} x ^{\\prime k}$$ where\n",
    "$x^\\prime = (x- x_j)/dx$ and $-1/2 \\le x^\\prime \\le \\ell/2$. \n",
    "\n",
    "The\n",
    "coefficients $a _{j, k}$ are obtained by interpolating the curve with\n",
    "the aid of neighbouring grid points. We will skip the detail of the\n",
    "interpolation process. Values of $a _{j, k}$ for $\\ell=0, 1, \\ldots, 4$\n",
    "have been computed and are summarised in Tables\n",
    "[Table $\\ell=0$](#tab:ell0), [Table $\\ell=1$](#tab:ell1), [Table $\\ell=2$](#tab:ell2), [Table $\\ell=3$](#tab:ell3) and\n",
    "[Table $\\ell=4$](#tab:ell4),"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name='tab:ell0'></a>\n",
    "**Table $\\ell = 0$:**\n",
    "\n",
    "|.............|................|\n",
    "| :-------------: | :-----------------: |\n",
    "| $k=0$     | $a_{j,0}=c_j$ |\n",
    "\n",
    "<a name='tab:ell1'></a>\n",
    "**Table $\\ell = 1$:** two representations\n",
    "\n",
    "|.............|............................|\n",
    "| :-------------: | :-----------------: |\n",
    "| $k=0$           |  $a_{j,0}= c_j$ |\n",
    "| $k=1$           |  $a_{j, 1}= c_{j+1} - c_j$ |\n",
    "\n",
    "|.............|............................|\n",
    "| :-------------: | :-----------------: |\n",
    "|  $k=0$          |  $a_{j,0}= c_j$ |\n",
    "|  $k=1$          |  $a_{j, 1}= c_j-c_{j-1}$ |\n",
    "  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name='tab:ell2'></a>\n",
    "**Table $\\ell = 2$:**\n",
    "\n",
    "|.............|.................................................|\n",
    "| :-------------: | :-----------------: |\n",
    "|  $k=0$          |  $a_{j,0}= c_j$ |\n",
    "| $k=1$          | $a_{j, 1}=\\frac {1}{2}(c_{j+1}-c_{j-1})$ |\n",
    "|  $k=2$         |  $a_{j, 2}=\\frac {1}{2}(c_{j+1}-2c_j+c_{j-1})$ |\n",
    "\n",
    "<a name='tab:ell3'></a>\n",
    "**Table $\\ell = 3$:** two representations\n",
    "\n",
    "|.............|....................................................................|\n",
    "| :-------------: | :-----------------: |\n",
    "|  $k=0$          |  $a_{j,0}= c_j$ |\n",
    "|   $k=1$          | $a_{j, 1}=\\frac {1}{6}(-c_{j+2}+6c_{j+1}-3c_j-2c_{j-1})$ |\n",
    "|    $k=2$          | $a_{j, 2}=\\frac {1}{2}(c_{j+1}-2c_j+c_{j-1})$ |\n",
    "|    $k=3$          | $a_{j, 3}=\\frac {1}{6}(c_{j+2}-3c_{j+1}+3c_j-c_{j-1})$ |\n",
    "\n",
    "|.............|....................................................................|\n",
    "| :-------------: | :-----------------: |\n",
    "|  $k=0$          |  $a_{j,0}= c_j$ |\n",
    "|  $k=1$        |  $a_{j, 1}=\\frac {1}{6}(2c_{j+1}+3c_j-6{j-1}+c_{j-2})$ |\n",
    "|   $k=2$        |  $a_{j, 2}=\\frac {1}{2}(c_{j+1}-2c_j+c_{j-1})$ |\n",
    "|   $k=3$        |  $a_{j, 3}=\\frac {1}{6}(c_{j+1}-3c_j+3c_{j-1}-c_{j-2})$ |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name='tab:ell4'></a>\n",
    "**Table $\\ell = 4$:**\n",
    "\n",
    "|.............|........................................................................................|\n",
    "| :-------------: | :-----------------: |\n",
    "|  $k=0$          |  $a_{j,0}= c_j$ |\n",
    "|   $k=1$        |  $a_{j, 1}=\\frac {1}{12}(-c_{j+2}+8c_{j+1}-8c_{j-1}+c_{j-2})$ |\n",
    "|   $k=2$        |  $a_{j, 2}=\\frac {1}{24}(-c_{j+2}+16c_{j+1}-30c_j+16c_{j-1}-c_{j-2})$ |\n",
    " |  $k=3$        |  $a_{j, 3}=\\frac {1}{12}(c_{j+2}-2c_{j+1}+2c_{j-1}-c_{j-2})$ |\n",
    "  | $k=4$        |  $a_{j, 4}=\\frac {1}{24}(c_{j+2}-4c_{j+1}+6c_j-4c_{j-1}+c_{j-2})$ |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that for even order polynomials, an odd number of $c$ values\n",
    "including the grid point $j$ are needed to calculate the coefficients\n",
    "$a_{j, k}$. This means the same number of grid points to the left and\n",
    "right of $x_j$ are used in the calculation of $a_{j, k}$. If on the\n",
    "other hand, we choose odd order polynomials, there will be one extra\n",
    "point used to either side of $x_j$, thus resulting in 2 different\n",
    "representations of $a_{j, k}$. This is why there are 2 sets of\n",
    "$a_{j, k}$ for $\\ell=1, 3$ in the table. Decision as to which set is to be\n",
    "used must be made according to specific conditions of the calculation.\n",
    "\n",
    "If we choose $\\ell=0$, we will end up with the upstream method. In other\n",
    "words, the upstream method assumes that $c$ is constant in each grid\n",
    "box. This poor representation of $c$ results in strong numerical\n",
    "diffusion. Experiments have shown that generally if we use higher order\n",
    "polynomials (where $\\ell \\le 4$), we can significantly suppress numerical\n",
    "diffusion.\n",
    "\n",
    "Now we define $I_{j+1/2}$ as the shaded area in grid box $j$ in ([Figure Amount Leaving Grid](#fig:flux)): \n",
    "\n",
    "<a name='eq:area'></a>\n",
    "(Flux Leaving Eqn)\n",
    "$$\n",
    " I_{j+1/2} = \\int _{1/2 - \\frac{udt}{dx}}^{1/2} c_j(x^\\prime) dx^\\prime $$\n",
    "   $$ =  \\sum _{k=0}^{l} \\frac {a_{j, k}}{(k+1) 2^{k+1}} \\left[1- \\left(1- 2 u \\frac{dt}{dx}\\right)^{k+1} \\right] $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that we are integrating over $x^\\prime$ instead of $x$. Thus, to\n",
    "get the real shaded area, we need to multiply $I_{j+1/2}$ by $dx$. So\n",
    "\n",
    "<a name='eq:flux2'></a>\n",
    "(Flux Eqn)\n",
    "$$F_{j+1/2}= \\frac {dx} {dt}I_{j+1/2}\n",
    "$$ In this form, the scheme is conservative and\n",
    "weakly diffusive. But it still lacks positive definiteness. A sufficient\n",
    "condition for this is \n",
    "\n",
    "<a name='eq:posdef'></a>\n",
    "(Positive Definite Condition)\n",
    "$$0 \\le  I_{j+1/2} dx  \\le  c_j dx\n",
    "$$ That is, the total outflow is never\n",
    "negative and never greater than $c_j dx$. In other words, the shaded\n",
    "area should be no less than zero but no greater than the area of the\n",
    "rectangle with length $c_j$ and width $dx$. \n",
    "([Figure Total in Cell](#fig:limit))\n",
    "shows why the total outflow should be limited above by $c_j dx$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 6,
     "metadata": {
      "image/png": {
       "width": "60%"
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='images/limit.png',width='60%') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name='fig:limit'></a>\n",
    "**Figure Total in Cell:** The shaded area is equal to $c_j dx$, and it is already greater than\n",
    "the total amount of vapour (the area under the curve) in grid box $j$.\n",
    "If $I_{j+1/2} dx > c_j dx$, then the total outflow $I_{j+1/2} dx$ would\n",
    "be greater than the amount of vapour in the grid box, and the amount of\n",
    "vapour will be negative at the next time step, thus violating the\n",
    "positive definiteness requirement. \n",
    "\n",
    "If the total outflow is larger than the shaded area $c_j dx$, we will\n",
    "get negative values of $c$ in this grid box at the next time step. We do\n",
    "not want this to happen since negative values are meaningless.\n",
    "\n",
    "To satisfy the condition for positive definiteness\n",
    "([Positive Definite Condition](#eq:posdef)) we need to guarantee that\n",
    "$I_{j+1/2} \\le c_j$ holds at all time steps. We can achieve this\n",
    "condition by multiplying $I_{j+1/2}$ by a weighting factor. Define\n",
    "$I_{j+1/2}^\\prime$ as \n",
    "\n",
    "<a name='eq:normalize'></a>\n",
    "(Normalization Eqn)\n",
    "$$I_{j+1/2}^\\prime=I_{j+1/2} \\frac {c_j}{I_j}$$ where \n",
    "\n",
    "$$\n",
    " {I_j} = \\int_{-1/2}^{1/2} c_j(x^\\prime) dx^\\prime $$\n",
    "$$ = \\sum_{k=0}^{l} \\frac {a_{j, k}} {(k+1) 2^{k+1}} [(-1)^k +1]$$\n",
    "\n",
    "Since the total flow out of a grid box is always less than the total\n",
    "grid volume, $I_{j+1/2}/I_j$ is always less than 1, thus\n",
    "$I_{j+1/2} c_j/I_j$ is always less than $c_j$. Thus we can satisfy the\n",
    "upper limit of the positive definiteness condition\n",
    "([Positive Definite Condition](#eq:posdef)) by multiplying $I_{j+1/2}$ by a weighting\n",
    "factor $c_j/I_j$. So now $F$ is defined as:\n",
    "$$F_{j+1/2}= \\frac {dx} {dt}\\frac {c_j}{I_j} I_{j+1/2}$$"
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    "Now to satisfy the lower limit of the positive definiteness condition,\n",
    "([Positive Definite Condition](#eq:posdef))\n",
    "we need to make sure $I_{j+1/2}$ remains non negative at all time steps.\n",
    "So we will set $I_{j+1/2}$ to 0 whenever it is negative.\n",
    "\n",
    "If we are looking at the parts of the curve that are far away from the\n",
    "peak, $I_j=0, I_{j+1/2}=0$, and we will be dividing by 0 in ([Normalization Eqn](#eq:normalize))! To avoid this instability, we introduce a small\n",
    "term $\\epsilon$ when $I_j=0, I_{j+1/2}=0$, *i.e.*, we set $I_j$ to\n",
    "$\\epsilon$.\n",
    "\n",
    "Combining all the conditions from above, the advection scheme is\n",
    "described as follows:\n",
    "$$c(j, n+1)= c(j, n) - \\frac {dt} {dx} [F(j+1/2, n)- F(j-1/2, n)]$$\n",
    "$$F(j+1/2, n)= \\frac {dx}{dt} \\frac {i_{l, j+1/2}}{i_{l, j}} c_j$$ with\n",
    "$$i_{l, j+1/2} = \\hbox{max}(0, I_{j+1/2})$$\n",
    "$$i_{l, j} = \\hbox{max}(I_{l, j}, i_{l, j+1/2} + \\epsilon)$$ where $l$\n",
    "is the order of the polynomial we use to interpolate $c$ in each grid\n",
    "box.\n",
    "\n",
    "An example function for this scheme is in *advection_funs.py*. The python\n",
    "function *advection3(timesteps, order)* takes in 2 arguments, the first is\n",
    "the number of time steps to be computed, the second is the order of the\n",
    "polynomial for the approximation of $c$ within each grid box. It plots the curve at 20 time steps.\n",
    "Students should try it out and compare this scheme with the previous\n",
    "two."
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    "### Problem One ###\n",
    "\n",
    "Using the scheme presented in this section, modify *advection3.py* to\n",
    "solve the following advection problem: The wind is moving along the\n",
    "x-axis with speed $u=20 \\hbox{ m/s}$. The initial distribution curve is\n",
    "$290 \\hbox{ km}$ in width. Use your program to approximate the curve\n",
    "during 24 hours.\n",
    "\n",
    "a\\) Run your program for different orders of approximating polynomials\n",
    "(up to 4). Compare the accuracy of approximation for different orders.\n",
    "Do you see better results with increasing order? Is this true for all\n",
    "orders from 0 to 4? Is there any particularity to odd and even order\n",
    "polynomials?\n",
    "\n",
    "b\\) For odd ordered polynomials, *advection3.py* uses the representation\n",
    "of $a_{j,k}$ that involves an extra point to the right of the centre\n",
    "grid point. Modify the table of coefficients for odd ordered polynomials\n",
    "([Table $\\ell=1$](#tab:ell1))and ([Table $\\ell=3$](#tab:ell3)) to use the extra point to the left of the\n",
    "centre grid point. Run your program again and compare the results of 2\n",
    "different representations of $a_{j,k}$ for order 1 and 3, respectively.\n",
    "Is one representation better than the other, or about the same, or does\n",
    "each have its own problem? How, do you think the different\n",
    "representation affects the result?"
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    "## Conclusion ##\n",
    "\n",
    "The last scheme presented solves 2 problems introduced in the previous\n",
    "two schemes. The centred differencing scheme lacks positive definiteness\n",
    "because it is of second order accuracy, thus it introduces additional\n",
    "oscillations near the peak. The scheme presented here solves this\n",
    "problem by checking and normalising the relevant values (ie, $I_{j+1/2}$\n",
    "and $I_j$) when needed at each time step. The upstream scheme produces\n",
    "strong diffusion because it is of only first order accuracy. The scheme\n",
    "presented here solves this problem by using higher order polynomials to\n",
    "approximate $c$ at each grid box.\n",
    "\n",
    "Experiments have shown that this scheme is numerically stable in most\n",
    "atmospheric situations. This scheme is only slightly unstable in the\n",
    "case of strong deformational flow field models.\n",
    "\n",
    "For more detail about this advection scheme , please refer to ([Bott, 1989](#Ref:Bott)).\n",
    "Since 1989, new advection schemes including the MUSCL and TVD have been developed and are more routinely used. "
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   "source": [
    "## References ##\n",
    "\n",
    "<a name='Ref:Bott'></a>\n",
    "Bott, A., 1989: A positive definite advection scheme obtained by nonlinear renormalization of the advective fluxes. *Monthly Weather Review*, 117, 1006–1015."
   ]
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