{
 "metadata": {
  "name": "",
  "signature": "sha256:d6e0ca519b1abfc299331a52bf2123fd788c191042ba433a08cbb2dc7a5430c9"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import display, Image\n",
      "from IPython.display import display_pretty, display_html, display_jpeg, display_png, display_json, display_latex, display_svg\n",
      "from IPython.display import Latex\n",
      "from IPython.display import HTML\n",
      "Image(filename='logo3.jpg', width=100)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "jpeg": 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5aWiFY8t8DfAb4b+FIEij0K21ZlziXU7S3nfq3fyx/ex+A9K9ItbK1tIvKsrSC2UdFjjC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       "metadata": {
        "jpeg": {
         "width": 100
        }
       },
       "output_type": "pyout",
       "prompt_number": 8,
       "text": [
        "<IPython.core.display.Image at 0x7f65495f8128>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<a href = https://by2pie.wordpress.com/>Visit our website </a>or<a href = https://www.facebook.com/pages/By2Pie/558372994265146> Fanpage!</a>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<a href = http://nbviewer.ipython.org/github/by2pie/Fluid-dynamics/blob/master/2.1%20Derivation%20of%20Navier%20-%20Stokes%20equations.ipynb>Project 2.1: Derivation of incompressible Navier - Stokes equations</a><br>\n",
      "<a href = http://nbviewer.ipython.org/github/by2pie/Fluid-dynamics/blob/master/2.2%20Time%20discretization%20of%20Navier-Stokes%20Equations%20in%202D.ipynb>Project 2.2: Time discretization of Navier-Stokes Equations in 2D </a><br>\n",
      "<a href = http://nbviewer.ipython.org/github/by2pie/Fluid-dynamics/blob/master/2.3%20Space%20discratization%20and%20update%20equations.ipynb>Project 2.3: Space discratization and update equations  </a><br>\n",
      "<a href = http://nbviewer.ipython.org/github/by2pie/Fluid-dynamics/blob/master/2.4%20Boundary%20condition%2C%20linear%20equation%20and%20visualization%20of%20N-S%20equations.ipynb>Project 2.4: Project 2.4: Boundary condition, linear equation and visualization of N-S equations</a><br>\n",
      "<a href =http://nbviewer.ipython.org/github/by2pie/Fluid-dynamics/blob/master/Untitled0.ipynb>Project 2.5: Full Code</a><br>\n"
     ]
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Project 2.2: Time discretization of Navier-Stokes Equations in 2D"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\n",
      "In following notebook I would like to prepare ground for numerical solution of Navier - Stokes equation derived in <a href = http://nbviewer.ipython.org/github/by2pie/Fluid-dynamics/blob/master/2.1%20Derivation%20of%20Navier%20-%20Stokes%20equations.ipynb>previous notebook</a>. Firstly I would like to discretize time dependence\n"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "1. 2D form of N-S equations"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let me start with recalling derived Incompressible Navier-Stokes Equations:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<a id ='1.1'></a>\n",
      "\\begin{equation*}\n",
      "\\frac {D \\, \\vec{v}}{D \\, t}  = - \\nabla P + \\frac {1}{Re} \\Delta \\vec{v}  + \\vec{f} \\quad(1.1)\n",
      "\\end{equation*}"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We would like to investigate situation without external force, which would result in $\\vec{f} = 0$. Introducing two-dimensional velocity $\\vec{v} = [u, v]$ we obtain equation for $i^{th}$ component:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\\begin{equation*}\n",
      "(\\frac {\\partial}{\\partial t} +\n",
      "    \\, v_j \\nabla_j) \\,  v_i = - \\nabla_i P + \\frac {1}{Re} \\frac {\\partial v_i}{\\partial x_j} \\quad(1.2)\n",
      "\\end{equation*}"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\\begin{equation*}\n",
      "\\frac {\\partial v_i}{\\partial t} +\n",
      "    \\, v_j \\nabla_j  v_i + \\nabla_i P - \\frac {1}{Re} \\frac {\\partial v_i}{\\partial x_j}  =0 \\quad(1.3)\n",
      "\\end{equation*}\n",
      "\\begin{equation*}\n",
      "\\frac {\\partial v_i}{\\partial t} +\n",
      "    \\, \\nabla_j  v_j v_i - v_i\\overbrace{\\nabla_j v_j}^\\text{0} + \\nabla_i P - \\frac {1}{Re} \\Delta_j v_i =0 \\quad(1.4)\n",
      "\\end{equation*}"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Where we found incompressible condition $\\nabla \\cdot \\vec{v} = 0 $"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now let us expand summation convention, namely we should have $i=1,2$ equations with $j=1,2$ summation inside them"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "x - component:\n",
      "$i = 1, j=1,2$\n",
      "\\begin{equation*}\n",
      "\\frac {\\partial u}{\\partial t} +\n",
      "    \\,   \\frac {\\partial u^2}{\\partial x} + \\frac {\\partial uv}{\\partial y} +\\frac {\\partial P}{\\partial x} - \\frac {1}{Re} \\bigg( \\frac {\\partial^2 u}{\\partial x^2} + \\frac {\\partial^2 u}{\\partial y^2} \\bigg) =0 \\quad(1.5a)\n",
      "\\end{equation*}\n",
      "y - component:\n",
      "$i = 2, j=1,2$\n",
      "\\begin{equation*}\n",
      "\\frac {\\partial v}{\\partial t} +\n",
      "    \\,   \\frac {\\partial v^2}{\\partial y} + \\frac {\\partial uv}{\\partial x} +\\frac {\\partial P}{\\partial y} - \\frac {1}{Re} \\bigg( \\frac {\\partial^2 y}{\\partial x^2} + \\frac {\\partial^2 y}{\\partial y^2} \\bigg) =0 \\quad(1.5b)\n",
      "\\end{equation*}"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "With help of shorthand notation $\\frac {\\partial}{\\partial a} = ()_a$ we end up with following set of 2D formulas:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\\begin{equation*}\n",
      "u_t + p_x = -(u^2)_x - (uv)_y + \\frac{1}{Re}(u_{xx}+u_{yy}) \\quad(1.6a)\n",
      "\\end{equation*}\n",
      "\n",
      "\\begin{equation*}\n",
      "v_t + p_y = -(v^2)_y - (uv)_x + \\frac{1}{Re}(v_{xx}+v_{yy}) \\quad(1.6b)\n",
      "\\end{equation*}\n",
      "\n",
      "\\begin{equation*}\n",
      "u_x + v_y = 0 \\quad(1.6c)\n",
      "\\end{equation*}"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "2. Time discretisation:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We would like to use notation $U^n$ for quantity calculated in time $t = n \\Delta t$, additionally we need to define discrete time derivative in a form of: \n",
      "$$\\frac{U^{n+1} - U^n}{\\Delta t}$$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Main idea lays behind dividing time dependent part of calculation into three parts:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\\begin{equation*}\n",
      "u_t =  \\overbrace{-(u^2)_x - (uv)_y}^{\\text{part 1}} + \\overbrace{\\frac{1}{Re}(u_{xx}+u_{yy})}^{\\text{part 2}} \\,\\, \\overbrace{- p_x}^{\\text{part 3}} \\quad(2.1)\n",
      "\\end{equation*}"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "It would require calculating midpoints values of velocity, namely:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "$$U^n \\rightarrow U^* \\rightarrow U^{**} \\rightarrow U^{n+1} \\quad(2.2) $$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Connecting ideas 2.1 and 2.2 we should obtain three steps:"
     ]
    },
    {
     "cell_type": "heading",
     "level": 5,
     "metadata": {},
     "source": [
      "1. Nonlinear terms:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<a id ='2.3'></a>\n",
      "$$\\frac{U^* - U^n}{\\Delta t} =  -((U^n)^2)_x - (U^nV^n)_y \\quad(2.3a) $$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "$$\\frac{V^* - V^n}{\\Delta t} =  -((V^n)^2)_y - (U^nV^n)_x \\quad(2.3b)$$"
     ]
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "2. Implicit velosity:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<a id ='2.4'></a>\n",
      "$$\\frac{U^{**} - U^*}{\\Delta t} =  \\frac{1}{Re}(U^{**}_{xx}+U^{**}_{yy})\\quad(2.4a) $$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "$$\\frac{V^{**} - V^*}{\\Delta t} =  \\frac{1}{Re}(V^{**}_{xx}+V^{**}_{yy})\\quad(2.4b) $$"
     ]
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "3. Pressure correction:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "$$\\frac{U^{n+1} - U^{**}}{\\Delta t} =  -(P^{n+1})_x \\quad(2.5a) $$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "$$\\frac{V^{n+1} - V^{**}}{\\Delta t} =  -(P^{n+1})_y \\quad(2.5b) $$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Equations $(2.5)$ can be rewritten in vector form:\n",
      "$$\\frac{1}{\\Delta t} {\\bf U}^{n+1}- \\frac{1}{\\Delta t} {\\bf U}^{n} = - \\frac {1}{\\Delta t} \\nabla \\cdot {\\bf P}^{n+1} \\quad(2.5b) $$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "It is straightly leading us to Poisson equation, especially if we introduce quantity $F$:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "$$F^n = \\nabla \\cdot {\\bf U}^{n} \\quad(2.6a)$$\n",
      "$$ $$\n",
      "$$-\\Delta P^{n+1} = -\\frac{1}{\\Delta t} F^n \\quad(2.6b)$$\n",
      "$$ $$\n",
      "$$ {\\bf U}^{n+1} = {\\bf U}^{n} - \\Delta t \\nabla P^{n+1} \\quad(2.6c)$$"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "3. What's next?"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Next time we would like to discretise 2D space into square lattice and add write few fragments of code, but now application of derrived formulas to a flying plane: "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Image(\"plane.jpg\", width=800)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
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nyyPDO5bNa6efWPlEeQcNvHfUMaqNC2dFkqDj49TlFFxk0jXXz8bMq1y2Wj2y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\nzzUoyMADs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       "metadata": {
        "jpeg": {
         "width": 800
        }
       },
       "output_type": "pyout",
       "prompt_number": 11,
       "text": [
        "<IPython.core.display.Image at 0x7f65495f87b8>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Do not forget to visit our website:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "HTML('<iframe src=http://by2pie.wordpress.com width=900 height=500></iframe>')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<iframe src=http://by2pie.wordpress.com width=900 height=500></iframe>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "<IPython.core.display.HTML at 0x7f6548155710>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "4. References:"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "[1]<a href = http://math.mit.edu/~stoopn/18.086/code/mit18086_navierstokes.pdf>Seibold Benjamin, MIT: <I>A compact and fast Matlab code solving the incompressible Navier-Stokes equations on ractangular domains</a>,<I><br>\n",
      "[2]<a href = http://math.mit.edu/~stoopn/18.086/code/mit18086_navierstokes.pdf>Matyka Maciej, Wroclaw University: <I>Solution to two-dimensional Incompressible Navier-Stokes Equations with\n",
      "SIMPLE, SIMPLER and Vorticity-Stream Function Approaches.\n",
      "Driven-Lid Cavity Problem: Solution and Visualization.<I></a>\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Testing"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}