diff --git a/HW6/README.pdf b/HW6/README.pdf index 3cc8991..12116b0 100644 Binary files a/HW6/README.pdf and b/HW6/README.pdf differ diff --git a/README.pdf b/README.pdf new file mode 100644 index 0000000..7a034c6 Binary files /dev/null and b/README.pdf differ diff --git a/lecture_01/octave-workspace b/lecture_01/octave-workspace new file mode 100644 index 0000000..8c437bb Binary files /dev/null and b/lecture_01/octave-workspace differ diff --git a/lecture_02/octave-workspace b/lecture_02/octave-workspace new file mode 100644 index 0000000..8c437bb Binary files /dev/null and b/lecture_02/octave-workspace differ diff --git a/lecture_20/octave-workspace b/lecture_20/octave-workspace index 41ef164..8c437bb 100644 Binary files a/lecture_20/octave-workspace and b/lecture_20/octave-workspace differ diff --git a/lecture_21/octave-workspace b/lecture_21/octave-workspace index 398435f..f2ecb23 100644 Binary files a/lecture_21/octave-workspace and b/lecture_21/octave-workspace differ diff --git a/lecture_22/01_phugoid/01_01_Phugoid_Theory.ipynb b/lecture_22/01_phugoid/01_01_Phugoid_Theory.ipynb index 902854f..2d67c76 100644 --- a/lecture_22/01_phugoid/01_01_Phugoid_Theory.ipynb +++ b/lecture_22/01_phugoid/01_01_Phugoid_Theory.ipynb @@ -33,7 +33,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -53,10 +53,10 @@ " " ], "text/plain": [ - "" + "" ] }, - "execution_count": 1, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } diff --git a/lecture_22/lecture_22.ipynb b/lecture_22/lecture_22.ipynb index 624029d..b986828 100644 --- a/lecture_22/lecture_22.ipynb +++ b/lecture_22/lecture_22.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "collapsed": true }, @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": { "collapsed": true }, @@ -53,7 +53,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -81,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -93,14 +93,14 @@ "time (s)| error (m/s)\n", "-------------------------\n", " 0.0 | 0.00\n", - " 7.1 | 26.67\n", - " 14.3 | 54.21\n", - " 28.6 | 33.62\n", - " 35.7 | 29.84\n", - " 42.9 | 82.85\n", - " 50.0 | 47.86\n", + " 2.3 | 0.46\n", + " 4.0 | 0.95\n", + " 6.3 | 1.03\n", + " 8.0 | 0.80\n", + " 10.3 | 0.46\n", + " 12.0 | 0.28\n", "\n", - "O(h^2)=51.02\n" + "O(h^2)=0.33\n" ] }, { @@ -145,99 +145,113 @@ "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", "\n", "\n", "\n", "\n", - "\t\t\n", - "\t\t-40\n", + "\t\t\n", + "\t\t0\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t-20\n", + "\t\t\n", + "\t\t10\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t0\n", + "\t\t\n", + "\t\t20\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t20\n", + "\t\t\n", + "\t\t30\n", "\t\n", "\n", "\n", - "\t\t\n", + "\t\t\n", "\t\t40\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t60\n", + "\t\t\n", + "\t\t50\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t80\n", + "\t\t\n", + "\t\t0\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t0\n", + "\t\t\n", + "\t\t2\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t10\n", + "\t\t\n", + "\t\t4\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t20\n", + "\t\t\n", + "\t\t6\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t30\n", + "\t\t\n", + "\t\t8\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t40\n", + "\t\t\n", + "\t\t10\n", "\t\n", "\n", "\n", "\t\t\n", - "\t\t50\n", + "\t\t12\n", "\t\n", "\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\n", "\n", "\tgnuplot_plot_1a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_2a\n", "\n", - "\t\t \n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", - "\t\n", + "\t\t \n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", "\n", "\t\n", "\n", @@ -260,7 +274,7 @@ } ], "source": [ - "[v_an,v_t,t]=freefall(8,50);\n", + "[v_an,v_t,t]=freefall(22,12);\n", "fprintf('\\nO(h^2)=%1.2f',min(diff(t).^2))" ] }, @@ -301,7 +315,7 @@ }, { "cell_type": "code", - "execution_count": 102, + "execution_count": 20, "metadata": { "collapsed": false }, @@ -342,7 +356,7 @@ }, { "cell_type": "code", - "execution_count": 103, + "execution_count": 21, "metadata": { "collapsed": false }, @@ -385,7 +399,7 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 22, "metadata": { "collapsed": false }, @@ -405,7 +419,7 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 23, "metadata": { "collapsed": false }, @@ -430,7 +444,7 @@ " 0.00000\n", " 0.00000\n", "\n", - "n = 12\n", + "n = 11\n", "e = 6.3760e-06\n" ] } @@ -444,7 +458,7 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 24, "metadata": { "collapsed": false }, @@ -477,7 +491,7 @@ }, { "cell_type": "code", - "execution_count": 121, + "execution_count": 25, "metadata": { "collapsed": false }, @@ -508,7 +522,7 @@ }, { "cell_type": "code", - "execution_count": 122, + "execution_count": 15, "metadata": { "collapsed": false }, @@ -525,6 +539,14 @@ " 34.7433\n", " 77.7351\n", "\n", + "y_euler =\n", + "\n", + " 0\n", + " 3\n", + " 3\n", + " 3\n", + " 3\n", + "\n", "ans =\n", "\n", " 2.0000\n", @@ -538,12 +560,13 @@ ], "source": [ "y\n", + "y_euler\n", "y_an(t)" ] }, { "cell_type": "code", - "execution_count": 128, + "execution_count": 26, "metadata": { "collapsed": false }, @@ -731,9 +754,9 @@ "\n", "\t\n", "\t\n", - "\t\n", - "\t\n", - "\t\n", + "\t\n", + "\t\n", + "\t\n", "\t\n", "\n", "\t\n", @@ -772,82 +795,6 @@ "ylabel('y')" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Phugoid Oscillation example\n", - "\n", - "[phugoid lessons in numerical methods with python](https://github.com/numerical-mooc/numerical-mooc/tree/master/lessons/01_phugoid)\n", - "\n", - "![Image](./figures/glider_forces-lesson3.png)\n", - "#### Figure 1. Forces with a positive trajectory angle." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "In Figure 1, $L$ is the lift, $W$ is the weight, $D$ is the drag, and $\\theta$ the positive angle of the trajectory, instantaneously. \n", - "\n", - "\\begin{align}\n", - "m \\frac{dv}{dt} & = - W \\sin\\theta - D \\\\\n", - "m v \\, \\frac{d\\theta}{dt} & = - W \\cos\\theta + L\n", - "\\end{align}\n", - "\n", - "We can use a few little tricks to make these equations more pleasing. First, use primes to denote the time derivatives and divide through by the weight:\n", - "\n", - "\\begin{align}\n", - " \\frac{v'}{g} & = - \\sin\\theta - D/W \\\\\n", - "\\frac{v}{g} \\, \\theta' & = - \\cos\\theta + L/W\n", - "\\end{align}\n", - "\n", - "\n", - "Ratio of lift to weight is known as the trim conditions—$L/W=v^2/v_t^2$— and also from the definitions of lift and drag, \n", - "\n", - "$$\\begin{eqnarray}\n", - "L &=& C_L S \\times \\frac{1}{2} \\rho v^2 \\\\\n", - "D &=& C_D S \\times \\frac{1}{2} \\rho v^2\n", - "\\end{eqnarray}$$\n", - "\n", - "we see that $L/D=C_L/C_D$. The system of equations can be re-written:\n", - "\n", - "\\begin{align}\n", - " v' & = - g\\, \\sin\\theta - \\frac{C_D}{C_L} \\frac{g}{v_t^2} v^2 \\\\\n", - " \\theta' & = - \\frac{g}{v}\\,\\cos\\theta + \\frac{g}{v_t^2}\\, v\n", - "\\end{align}\n", - "\n", - "It is very interesting that the first equation has the factor $C_D/C_L$, which is the inverse of a measure of the aerodynamic efficiency of the aircraft. It turns out, this is the term that contributes damping to the phugoid model: if drag is zero, there is no damping. Drag is never zero in real life, but as engineers design more aerodynamically efficient aircraft, they make the phugoid mode more weakly damped. At altitude, this is nothing but a slight bother, but vertical oscillations are unsafe during final approach to land, so this is something to watch out for!" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Euler's Method\n", - "\n", - "Apply Euler's method: replace each of the time derivatives by an approximation of the form:\n", - "\n", - "$$v'(t) \\approx \\frac{v^{n+1} - v^n}{\\Delta t},$$\n", - "\n", - "where we are now using a superscript $n$ to indicate the $n$-th value in the time iterations. The first differential equation, for example, gives:\n", - "\n", - "$$\\frac{v^{n+1} - v^n}{\\Delta t} = - g\\, \\sin\\theta^n - \\frac{C_D}{C_L} \\frac{g}{v_t^2} (v^n)^2$$\n", - "\n", - "At each time iteration $t^n$, we want to evaluate all the known data of our system to obtain the state at $t^{n+1}$—the next time step. We say that we are _stepping in time_ or _time marching_.\n", - "\n", - "The full system of equations discretized with Euler's method is:\n", - "\n", - "\\begin{align}\n", - "v^{n+1} & = v^n + \\Delta t \\left(- g\\, \\sin\\theta^n - \\frac{C_D}{C_L} \\frac{g}{v_t^2} (v^n)^2 \\right) \\\\\n", - "\\theta^{n+1} & = \\theta^n + \\Delta t \\left(- \\frac{g}{v^n}\\,\\cos\\theta^n + \\frac{g}{v_t^2}\\, v^n \\right) \\\\\n", - "x^{n+1} & = x^n + \\Delta t \\, v^n \\cos\\theta^n \\\\\n", - "y^{n+1} & = y^n + \\Delta t \\, v^n \\sin\\theta^n.\n", - "\\end{align}" - ] - }, { "cell_type": "code", "execution_count": null, diff --git a/lecture_22/lecture_22_python.ipynb b/lecture_22/lecture_22_python.ipynb index 88f0304..276a7a0 100644 --- a/lecture_22/lecture_22_python.ipynb +++ b/lecture_22/lecture_22_python.ipynb @@ -9,7 +9,9 @@ "[phugoid lessons in numerical methods with python](https://github.com/numerical-mooc/numerical-mooc/tree/master/lessons/01_phugoid)\n", "\n", "![Image](./figures/glider_forces-lesson3.png)\n", - "#### Figure 1. Forces with a positive trajectory angle." + "#### Figure 1. Forces with a positive trajectory angle.\n", + "\n", + "[folder with original 4-part lesson in \"01_phugoid\"](./01_phugoid)" ] }, { @@ -98,7 +100,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 77, "metadata": { "collapsed": true }, @@ -109,7 +111,7 @@ "from matplotlib import pyplot\n", "%matplotlib inline\n", "from matplotlib import rcParams\n", - "rcParams['font.family'] = 'serif'\n", + "rcParams['font.family'] = 'sans-serif'\n", "rcParams['font.size'] = 16" ] }, @@ -128,7 +130,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 78, "metadata": { "collapsed": false }, @@ -150,7 +152,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 82, "metadata": { "collapsed": true }, @@ -182,7 +184,18 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 83, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ?f accesses help documentation of code" + ] + }, + { + "cell_type": "code", + "execution_count": 84, "metadata": { "collapsed": true }, @@ -211,7 +224,30 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 89, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d=numpy.array([1,2,3,4,5])\n", + "d[-3] # note negative indices are fun" + ] + }, + { + "cell_type": "code", + "execution_count": 90, "metadata": { "collapsed": true }, @@ -233,16 +269,16 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 91, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAvgAAAI3CAYAAADunC+CAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAvkAAAI3CAYAAAABXkS8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nbaq84r/f6wAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -289,7 +325,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 92, "metadata": { "collapsed": true }, @@ -318,7 +354,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 93, "metadata": { "collapsed": true }, @@ -355,7 +391,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 94, "metadata": { "collapsed": false }, @@ -383,10 +419,10 @@ "evalue": "operands could not be broadcast together with shapes (100001,) (50001,) ", "output_type": "error", "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;31m### call the function get_diffgrid() ###\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m \u001b[0mdiffgrid\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_diffgrid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mu_values\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mu_values\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdt\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m\u001b[0m in \u001b[0;36mget_diffgrid\u001b[0;34m(u_current, u_fine, dt)\u001b[0m\n\u001b[1;32m 22\u001b[0m \u001b[0mgrid_size_ratio\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mceil\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mN_fine\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mN_current\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 23\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 24\u001b[0;31m \u001b[0mdiffgrid\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdt\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mabs\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mu_current\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m-\u001b[0m \u001b[0mu_fine\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0mgrid_size_ratio\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 25\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 26\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mdiffgrid\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31m--------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;31m### call the function get_diffgrid() ###\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m \u001b[0mdiffgrid\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_diffgrid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mu_values\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mu_values\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdt\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36mget_diffgrid\u001b[0;34m(u_current, u_fine, dt)\u001b[0m\n\u001b[1;32m 22\u001b[0m \u001b[0mgrid_size_ratio\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mceil\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mN_fine\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mN_current\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 23\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 24\u001b[0;31m \u001b[0mdiffgrid\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdt\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mabs\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mu_current\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m-\u001b[0m \u001b[0mu_fine\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0mgrid_size_ratio\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 25\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 26\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mdiffgrid\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (100001,) (50001,) " ] } @@ -404,16 +440,16 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 95, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkoAAAIkCAYAAADh3QSzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhZIkSVIT/x+GWag0SZz7DQAAAABJRU5ErkJggg==\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkwAAAIkCAYAAADsw3T0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngUmSJKmG/w8oV6sCANpbvgAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -448,7 +484,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 96, "metadata": { "collapsed": true }, @@ -469,7 +505,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 97, "metadata": { "collapsed": true }, @@ -505,7 +541,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 98, "metadata": { "collapsed": true }, @@ -536,7 +572,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 99, "metadata": { "collapsed": true }, @@ -557,7 +593,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 100, "metadata": { "collapsed": true }, @@ -588,16 +624,16 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 101, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2gAAAI5CAYAAADUsxnbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2YAAAI0CAYAAAB25Dq2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ns7Ps1oEAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -636,7 +672,7 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 102, "metadata": { "collapsed": false }, @@ -653,10 +689,10 @@ "evalue": "operands could not be broadcast together with shapes (15001,) (7501,) ", "output_type": "error", "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 27\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdt\u001b[0m \u001b[0;32min\u001b[0m \u001b[0menumerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdt_values\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 28\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 29\u001b[0;31m \u001b[0mdiffgrid\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_diffgrid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mu_values\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mu_values\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdt\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m\u001b[0m in \u001b[0;36mget_diffgrid\u001b[0;34m(u_current, u_fine, dt)\u001b[0m\n\u001b[1;32m 22\u001b[0m \u001b[0mgrid_size_ratio\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mceil\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mN_fine\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mN_current\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 23\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 24\u001b[0;31m \u001b[0mdiffgrid\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdt\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mabs\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mu_current\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m-\u001b[0m \u001b[0mu_fine\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0mgrid_size_ratio\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 25\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 26\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mdiffgrid\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31m--------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 27\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdt\u001b[0m \u001b[0;32min\u001b[0m \u001b[0menumerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdt_values\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 28\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 29\u001b[0;31m \u001b[0mdiffgrid\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_diffgrid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mu_values\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mu_values\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdt\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36mget_diffgrid\u001b[0;34m(u_current, u_fine, dt)\u001b[0m\n\u001b[1;32m 22\u001b[0m \u001b[0mgrid_size_ratio\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mceil\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mN_fine\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mN_current\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 23\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 24\u001b[0;31m \u001b[0mdiffgrid\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdt\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mabs\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mu_current\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m-\u001b[0m \u001b[0mu_fine\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0mgrid_size_ratio\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 25\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 26\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mdiffgrid\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (15001,) (7501,) " ] } @@ -695,7 +731,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 103, "metadata": { "collapsed": false }, @@ -703,18 +739,18 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 76, + "execution_count": 103, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjkAAAIxCAYAAACvuKkAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noIIt7U9vzPAAAAAASUVORK5CYII=\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjoAAAIyCAYAAADCG2CtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, diff --git a/lecture_22/octave-workspace b/lecture_22/octave-workspace new file mode 100644 index 0000000..fa1e782 Binary files /dev/null and b/lecture_22/octave-workspace differ diff --git a/lecture_23/.ipynb_checkpoints/lecture_23-checkpoint.ipynb b/lecture_23/.ipynb_checkpoints/lecture_23-checkpoint.ipynb new file mode 100644 index 0000000..2fd6442 --- /dev/null +++ b/lecture_23/.ipynb_checkpoints/lecture_23-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lecture_23/boussinesq_lookup.m b/lecture_23/boussinesq_lookup.m new file mode 100644 index 0000000..65b35a1 --- /dev/null +++ b/lecture_23/boussinesq_lookup.m @@ -0,0 +1,32 @@ +function sigma_z=boussinesq_lookup(q,a,b,z) + % function that determines stress under corner of an a by b rectangular platform + % z-meters below the platform. The calculated solutions are in the fmn data + % m=fmn(:,1) + % in column 2, fmn(:,2), n=1.2 + % in column 3, fmn(:,2), n=1.4 + % in column 4, fmn(:,2), n=1.6 + + fmn= [0.1,0.02926,0.03007,0.03058 + 0.2,0.05733,0.05894,0.05994 + 0.3,0.08323,0.08561,0.08709 + 0.4,0.10631,0.10941,0.11135 + 0.5,0.12626,0.13003,0.13241 + 0.6,0.14309,0.14749,0.15027 + 0.7,0.15703,0.16199,0.16515 + 0.8,0.16843,0.17389,0.17739]; + + m=a/z; + n=b/z; + if n < 1.3 + f=fmn(:,2); + elseif n > 1.5 + f=fmn(:,4); + else + f=fmn(:,3); + end + [~,i_fit]=sort(abs(m-fmn(:,1))); + x=fmn(i_fit(1:4),1); + y=f(i_fit(1:4)); + f_out = Newtint(x,y,m); + sigma_z=q*f_out; +end diff --git a/lecture_23/coriolis.m b/lecture_23/coriolis.m new file mode 100644 index 0000000..e2ff5b2 --- /dev/null +++ b/lecture_23/coriolis.m @@ -0,0 +1,63 @@ +function [t,r] = coriolis(L) + % In class we ran this function using L=41.8084 (the latitude of Storrs, CT). This + % function takes the latitude (L) in degrees and mass (m) and calculates the trajectory + % of a particle with a 100 N load directed North. The initial conditions are set as L + % (in radians) * radius of Earth, 0 m/s initial x-velocity, 0 m E-W position (add to + % -72.261319 degrees for longitude of Storrs), 0 m/s initial E-W velocity, 10 m initial + % altitude, 0 m/s initial z-velocity [L*pi/180*R 0 0 0 10 0], the force is given as 100 + % N North, 0 West and 9.81*m z (neutrally buoyant) [100 0 9.81*m] + % + % the output of myode is ddr=[dx/dt d2x/dt2 dy/dt d2y/dt2 dz/dt d2z/dt2]' and the input + % to myode is r=[x dx/dt y dy/dt z dz/dt]' + % using ode23 solver solves for r as a function of time, here we solve from 0 to 200 s + % r(:,1) = x (the north-south position from 0 to 200 s) + % r(:,3) = x (the West-East position from 0 to 200 s) + % r(:,5) = x (the altitude from 0 to 200 s) + + % define ordinary differential equation in terms of 6 first order ODE's + function ddr = myode(t,r,R,L) + g=9.81; % acceleration due to gravity m/s^2 + l=10; % 10 m long cable + we=2*pi/23.934/3600; % rotation of Earth (each day is 23.934 hours long) + ddr=zeros(4,1); % initialize ddr + + ddr(1) = r(2); % x North(+) South (-) + ddr(2) = 2*we*r(4).*sin(L)-g/l*r(1); % dx/dt + ddr(3) = r(4); % y West (+) East (-) + ddr(4) = -2*we*(r(2).*sin(L))-g/l*r(3); % dy/dt + end + + R=6378.1e3; % radius of Earth in m + L=L*pi/180; + [t,r]=ode45(@(t,r) myode(t,r,R,L),[0 30000], [1 0 0 0 ]); + figure() + z=-sqrt(10^2-r(:,1).^2-r(:,3).^2); + figure(1) + we=2*pi/23.934/3600; % rotation of Earth (each day is 23.934 hours long) + + plot(t,tan(we*sin(L)*t),t,-r(:,3)./r(:,1),'.') + xlabel('time (s)','Fontsize',18) + ylabel('-y/x','Fontsize',18) + % Plot Coriolis effect path + figure(2) + title('Path at 0 hr, 4.1 hrs, 8.3 hrs','Fontsize',24) + N=length(t); + i1=[1:100]; i2=[floor(N/2):floor(N/2)+100]; i3=[N-100:N]; + plot3(r(i1,1),r(i1,3),z(i1)) + hold on + plot3(r(i2,1),r(i2,3),z(i2),'k-') + plot3(r(i3,1),r(i3,3),z(i3),'g-') + xlabel('X (m)','Fontsize',18) + ylabel('Y (m)','Fontsize',18) + zlabel('Z (m)','Fontsize',18) + title('Coriolis acceleration Foucalt Pendulum') + +% figure() +% % Plot Eotvos effect for deviation upwards +% plot(1e-3*(r(:,1)-r(1,1)),r(:,5)) +% xlabel('North (+km)','Fontsize',18) +% ylabel('Altitude (+m)','Fontsize',18) +% title('Eotvos effect with north force') +% +end + diff --git a/lecture_23/eulode.m b/lecture_23/eulode.m new file mode 100644 index 0000000..ceed97b --- /dev/null +++ b/lecture_23/eulode.m @@ -0,0 +1,29 @@ +function [t,y] = eulode(dydt,tspan,y0,h,varargin) +% eulode: Euler ODE solver +% [t,y] = eulode(dydt,tspan,y0,h,p1,p2,...): +% uses Euler's method to integrate an ODE +% input: +% dydt = name of the M-file that evaluates the ODE +% tspan = [ti, tf] where ti and tf = initial and +% final values of independent variable +% y0 = initial value of dependent variable +% h = step size +% p1,p2,... = additional parameters used by dydt +% output: +% t = vector of independent variable +% y = vector of solution for dependent variable +if nargin<4,error('at least 4 input arguments required'),end +ti = tspan(1);tf = tspan(2); +if ~(tf>ti),error('upper limit must be greater than lower'),end +t = (ti:h:tf)'; n = length(t); +% if necessary, add an additional value of t +% so that range goes from t = ti to tf +if t(n) 1.5\n", + " f=fmn(:,4);\n", + " else\n", + " f=fmn(:,3);\n", + " end\n", + " [~,i_fit]=sort(abs(m-fmn(:,1)));\n", + " x=fmn(i_fit(1:4),1);\n", + " y=f(i_fit(1:4));\n", + " f_out = Newtint(x,y,m);\n", + " sigma_z=q*f_out;\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\u001b[0;31mUndefined function 'Newtint' for input arguments of type 'double'.\n", + "\u001b[0m" + ] + } + ], + "source": [ + "boussinesq_lookup(10,1,1,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "i =\n", + "\n", + " 2\n", + " 3\n", + " 1\n", + " 4\n", + " 5\n", + " 6\n", + " 7\n", + " 8\n", + "\n", + "\n", + "ans =\n", + "\n", + " 0.2000\n", + " 0.3000\n", + " 0.1000\n", + " 0.4000\n", + " 0.5000\n", + " 0.6000\n", + " 0.7000\n", + " 0.8000\n" + ] + } + ], + "source": [ + "m_d=[1,2,3,4,5,6,7,8]'/10;\n", + "[~,i]=sort(abs(0.25-m_d))\n", + "m_d(i)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Initial Value Problems (continued)\n", + "\n", + "## Predator-Prey Models (Chaos Theory)\n", + "\n", + "Predator-prey models were developed independently in the early part of the twentieth\n", + "century by the Italian mathematician Vito Volterra and the American biologist Alfred\n", + "Lotka. These equations are commonly called Lotka-Volterra equations. The simplest version is the following pairs of ODEs:\n", + "\n", + "$\\frac{dx}{dt}=ax-bxy$\n", + "\n", + "$\\frac{dy}{dt}=-cy+dxy$\n", + "\n", + "where x and y = the number of prey and predators, respectively, a = the prey growth rate, c = the predator death rate, and b and d = the rates characterizing the effect of the predator-prey interactions on the prey death and the predator growth, respectively." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```matlab\n", + "function yp=predprey(t,y,a,b,c,d)\n", + " % predator-prey model (Lotka-Volterra equations)\n", + " yp=zeros(1,2);\n", + " x=y(1);\n", + " y=y(2);\n", + " yp(1)=a.*x-b.*x.*y;\n", + " yp(2)=-c*y+d*x.*y;\n", + "end\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "h=0.0625;tspan=[0 40];y0=[2 1];\n", + "a=1.2;b=0.6;c=0.8;d=0.3;" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 12.0000\n", + " 5.2000\n" + ] + } + ], + "source": [ + "predprey(1,[20 1],a,b,c,d)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAABcSAAAXEgFnn9JSAAAA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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a=1.2;b=0.6;c=0.8;d=0.3;\n", + "h=0.001;\n", + "[t y] = eulode(@predprey,tspan,y0,h,a,b,c,d);\n", + "\n", + "plot(t,y(:,1),t,y(:,2),'--')\n", + "legend('prey','predator');\n", + "title('(a) Euler time plot')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAABcSAAAXEgFnn9JSAAAA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\nAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(y(:,1),y(:,2))\n", + "title('(b) Euler phase plane plot')\n", + "xlabel('prey population')\n", + "ylabel('pred population')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAABcSAAAXEgFnn9JSAAAA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\nSAAAIAv/H0HbHRZqb02MAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a=10;b=0.6;c=0.8;d=0.3;\n", + "tspan=[0 10];\n", + "[t y] = rk4sys(@predprey,tspan,y0,h,a,b,c,d);\n", + "plot(t,y(:,1),t,y(:,2),'--')\n", + "title('(c) RK4 time plot')" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAABcSAAAXEgFnn9JSAAAA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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(y(:,1),y(:,2))\n", + "title('(d) RK4 phase plane plot')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Systems of ODE's:\n", + "## The Coriolis Effect\n", + "\n", + "System of ODE's defined as:\n", + "```matlab\n", + " function ddr = coriolis_ode(t,r,R,L)\n", + " g=9.81; % acceleration due to gravity m/s^2\n", + " l=10; % 10 m long cable\n", + " we=2*pi/23.934/3600; % rotation of Earth (each day is 23.934 hours long)\n", + " ddr=zeros(4,1); % initialize ddr\n", + "\n", + " ddr(1) = r(2); % x North(+) South (-)\n", + " ddr(2) = 2*we*r(4).*sin(L)-g/l*r(1); % dx/dt \n", + " ddr(3) = r(4); % y West (+) East (-)\n", + " ddr(4) = -2*we*(r(2).*sin(L))-g/l*r(3); % dy/dt\n", + " end\n", + "```\n", + "\n", + "First, we will solve for the path of a neutrally-buoyant object with a 100-N force pointing North. It's path starts at 41.8084$^o$ lattitude (Storrs, CT)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false, + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAABcSAAAXEgFnn9JSAAAA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\nTaAMiRBCiCZQQCKEEKIJ/wFT/tZfvHkeeAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAABcSAAAXEgFnn9JSAAAA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\nN8Ztf6GQ81nmAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 0\n", + " 0.0000\n", + " 0.0000\n", + " 0.0000\n", + " 0.0000\n", + " 0.0000\n", + " 0.0000\n", + " 0.0000\n", + " 0.0000\n", + " 0.0000\n", + " 0.0000\n", + " 0.0000\n", + " 0.0001\n", + " 0.0001\n", + " 0.0002\n", + " 0.0003\n", + " 0.0003\n", + " 0.0006\n", + " 0.0009\n", + " 0.0013\n", + " 0.0016\n", + " 0.0031\n", + " 0.0047\n", + " 0.0063\n", + " 0.0078\n", + " 0.0157\n", + " 0.0235\n", + " 0.0314\n", + " 0.0392\n", + " 0.0785\n", + " 0.1177\n", + " 0.1570\n", + " 0.1962\n", + " 0.3925\n", + " 0.5887\n", + " 0.7850\n", + " 0.9812\n", + " 1.9624\n", + " 2.9436\n", + " 3.9248\n", + " 4.9060\n", + " 9.0087\n", + " 13.1115\n", + " 17.2142\n", + " 21.3169\n", + " 26.3169\n", + " 31.3169\n", + " 36.3169\n", + " 41.3169\n", + " 46.3169\n", + " 51.3169\n", + " 56.3169\n", + " 61.3169\n", + " 66.3169\n", + " 71.3169\n", + " 76.3169\n", + " 81.3169\n", + " 86.3169\n", + " 91.3169\n", + " 96.3169\n", + " 101.3169\n", + " 106.3169\n", + " 111.3169\n", + " 116.3169\n", + " 121.3169\n", + " 126.3169\n", + " 131.3169\n", + " 136.3169\n", + " 141.3169\n", + " 146.3169\n", + " 151.3169\n", + " 156.3169\n", + " 161.3169\n", + " 166.3169\n", + " 171.3169\n", + " 176.3169\n", + " 181.3169\n", + " 185.9877\n", + " 190.6584\n", + " 195.3292\n", + " 200.0000\n" + ] + } + ], + "source": [ + "north_coriolis(41.8084,1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "coriolis(41.8084)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Adaptive Runge-Kutta Methods\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ODE23 Solve non-stiff differential equations, low order method.\n", + " [TOUT,YOUT] = ODE23(ODEFUN,TSPAN,Y0) with TSPAN = [T0 TFINAL] integrates \n", + " the system of differential equations y' = f(t,y) from time T0 to TFINAL \n", + " with initial conditions Y0. ODEFUN is a function handle. For a scalar T\n", + " and a vector Y, ODEFUN(T,Y) must return a column vector corresponding \n", + " to f(t,y). Each row in the solution array YOUT corresponds to a time \n", + " returned in the column vector TOUT. To obtain solutions at specific \n", + " times T0,T1,...,TFINAL (all increasing or all decreasing), use TSPAN = \n", + " [T0 T1 ... TFINAL]. \n", + " \n", + " [TOUT,YOUT] = ODE23(ODEFUN,TSPAN,Y0,OPTIONS) solves as above with default\n", + " integration properties replaced by values in OPTIONS, an argument created \n", + " with the ODESET function. See ODESET for details. Commonly used options\n", + " are scalar relative error tolerance 'RelTol' (1e-3 by default) and vector\n", + " of absolute error tolerances 'AbsTol' (all components 1e-6 by default).\n", + " If certain components of the solution must be non-negative, use\n", + " ODESET to set the 'NonNegative' property to the indices of these\n", + " components.\n", + " \n", + " ODE23 can solve problems M(t,y)*y' = f(t,y) with mass matrix M that is\n", + " nonsingular. Use ODESET to set the 'Mass' property to a function handle \n", + " MASS if MASS(T,Y) returns the value of the mass matrix. If the mass matrix \n", + " is constant, the matrix can be used as the value of the 'Mass' option. If\n", + " the mass matrix does not depend on the state variable Y and the function\n", + " MASS is to be called with one input argument T, set 'MStateDependence' to\n", + " 'none'. ODE15S and ODE23T can solve problems with singular mass matrices. \n", + " \n", + " [TOUT,YOUT,TE,YE,IE] = ODE23(ODEFUN,TSPAN,Y0,OPTIONS) with the 'Events'\n", + " property in OPTIONS set to a function handle EVENTS, solves as above \n", + " while also finding where functions of (T,Y), called event functions, \n", + " are zero. For each function you specify whether the integration is \n", + " to terminate at a zero and whether the direction of the zero crossing \n", + " matters. These are the three column vectors returned by EVENTS: \n", + " [VALUE,ISTERMINAL,DIRECTION] = EVENTS(T,Y). For the I-th event function: \n", + " VALUE(I) is the value of the function, ISTERMINAL(I)=1 if the integration \n", + " is to terminate at a zero of this event function and 0 otherwise. \n", + " DIRECTION(I)=0 if all zeros are to be computed (the default), +1 if only \n", + " zeros where the event function is increasing, and -1 if only zeros where \n", + " the event function is decreasing. Output TE is a column vector of times \n", + " at which events occur. Rows of YE are the corresponding solutions, and \n", + " indices in vector IE specify which event occurred. \n", + " \n", + " SOL = ODE23(ODEFUN,[T0 TFINAL],Y0...) returns a structure that can be\n", + " used with DEVAL to evaluate the solution or its first derivative at \n", + " any point between T0 and TFINAL. The steps chosen by ODE23 are returned \n", + " in a row vector SOL.x. For each I, the column SOL.y(:,I) contains \n", + " the solution at SOL.x(I). If events were detected, SOL.xe is a row vector \n", + " of points at which events occurred. Columns of SOL.ye are the corresponding \n", + " solutions, and indices in vector SOL.ie specify which event occurred. \n", + " \n", + " Example \n", + " [t,y]=ode23(@vdp1,[0 20],[2 0]); \n", + " plot(t,y(:,1));\n", + " solves the system y' = vdp1(t,y), using the default relative error\n", + " tolerance 1e-3 and the default absolute tolerance of 1e-6 for each\n", + " component, and plots the first component of the solution. \n", + " \n", + " Class support for inputs TSPAN, Y0, and the result of ODEFUN(T,Y):\n", + " float: double, single\n", + " \n", + " See also ODE45, ODE113, ODE15S, ODE23S, ODE23T, ODE23TB, ODE15I,\n", + " ODESET, ODEPLOT, ODEPHAS2, ODEPHAS3, ODEPRINT, DEVAL,\n", + " ODEEXAMPLES, RIGIDODE, BALLODE, ORBITODE, FUNCTION_HANDLE.\n", + "\n", + " Reference page in Doc Center\n", + " doc ode23\n" + ] + } + ], + "source": [ + "help ode23" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAABcSAAAXEgFnn9JSAAAA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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a=4;b=0.05;c=5;d=0.1;\n", + "tspan=[0,5];\n", + "[t23 y23] = ode23(@predprey,tspan,y0,h,a,b,c,d);\n", + "[t45,y45] = ode45(@predprey,tspan,y0,h,a,b,c,d);\n", + "plot(t23,y23(:,1),t23,y23(:,2),t45,y45(:,1),'--'...\n", + ",t45,y45(:,2),'--')\n", + "title('ode23- vs ode45--')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Matlab", + "language": "matlab", + "name": "matlab" + }, + "language_info": { + "codemirror_mode": "octave", + "file_extension": ".m", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "matlab", + "version": "0.11.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lecture_23/north_coriolis.m b/lecture_23/north_coriolis.m new file mode 100644 index 0000000..28a2337 --- /dev/null +++ b/lecture_23/north_coriolis.m @@ -0,0 +1,53 @@ +function [t,r] = coriolis(L,m) + % In class we ran this function using L=41.8084 (the latitude of Storrs, CT). This + % function takes the latitude (L) in degrees and mass (m) and calculates the trajectory + % of a particle with a 100 N load directed North. The initial conditions are set as L + % (in radians) * radius of Earth, 0 m/s initial x-velocity, 0 m E-W position (add to + % -72.261319 degrees for longitude of Storrs), 0 m/s initial E-W velocity, 10 m initial + % altitude, 0 m/s initial z-velocity [L*pi/180*R 0 0 0 10 0], the force is given as 100 + % N North, 0 West and 9.81*m z (neutrally buoyant) [100 0 9.81*m] + % + % the output of myode is ddr=[dx/dt d2x/dt2 dy/dt d2y/dt2 dz/dt d2z/dt2]' and the input + % to myode is r=[x dx/dt y dy/dt z dz/dt]' + % using ode23 solver solves for r as a function of time, here we solve from 0 to 200 s + % r(:,1) = x (the north-south position from 0 to 200 s) + % r(:,3) = x (the West-East position from 0 to 200 s) + % r(:,5) = x (the altitude from 0 to 200 s) + + % define ordinary differential equation in terms of 6 first order ODE's + function ddr = myode(t,r,F,m,R) + Fx=F(1); Fy=F(2); Fz=F(3); % set each Force component + g=9.81; % acceleration due to gravity m/s^2 + we=2*pi/23.934/3600; % rotation of Earth (each day is 23.934 hours long) + ddr=zeros(6,1); % initialize ddr + + ddr(1) = r(2); % x North(+) South (-) + ddr(2) = 2*we*r(2).*sin(r(1)/R)-r(6).*cos(r(1)/R)+Fx/m; % dx/dt + ddr(3) = r(4); % y West (+) East (-) + ddr(4) = -2*we*(r(2).*sin(r(1)/R)-r(6).*cos(r(1)/R))+Fy/m; % dy/dt + ddr(5) = r(6); % z altitude + ddr(6) = -2*we*r(4).*cos(r(1)/R)+Fz/m-g; % dz/dt + end + + R=6378.1e3; % radius of Earth in m + % Applied force is 100 N in Northern direction and z-direction equals force of gravity + % (neutrally buoyant travel) + F= [ 100 0 9.81*m]; %Applied force in N + [t,r]=ode45(@(t,r) myode(t,r,[100 0 9.81*m],m, R),[0 200], [L*pi/180*R 0 0 0 10 0]); + figure() + % Plot Coriolis effect for deviation Westward + plot(r(:,3),1e-3*(r(:,1)-r(1,1))) + xlabel('West (+m)','Fontsize',18) + ylabel('North (+km)','Fontsize',18) + text(0,0, 'Storrs, CT') + title('Coriolis acceleration with north force') + + figure() + % Plot Eotvos effect for deviation upwards + plot(1e-3*(r(:,1)-r(1,1)),r(:,5)) + xlabel('North (+km)','Fontsize',18) + ylabel('Altitude (+m)','Fontsize',18) + title('Eotvos effect with north force') + +end + diff --git a/lecture_23/octave-workspace b/lecture_23/octave-workspace new file mode 100644 index 0000000..31e53e3 Binary files /dev/null and b/lecture_23/octave-workspace differ diff --git a/lecture_23/predprey.m b/lecture_23/predprey.m new file mode 100644 index 0000000..349c3f6 --- /dev/null +++ b/lecture_23/predprey.m @@ -0,0 +1,6 @@ +function yp=predprey(t,y,a,b,c,d) + % predator-prey model (Lotka-Volterra equations) + yp=zeros(2,1); + yp(1)=a*y(1)-b*y(1)*y(2); + yp(2)=-c*y(2)+d*y(1)*y(2); +end diff --git a/lecture_23/rk4sys.m b/lecture_23/rk4sys.m new file mode 100644 index 0000000..fe747cb --- /dev/null +++ b/lecture_23/rk4sys.m @@ -0,0 +1,53 @@ +function [tp,yp] = rk4sys(dydt,tspan,y0,h,varargin) +% rk4sys: fourth-order Runge-Kutta for a system of ODEs +% [t,y] = rk4sys(dydt,tspan,y0,h,p1,p2,...): integrates +% a system of ODEs with fourth-order RK method +% input: +% dydt = name of the M-file that evaluates the ODEs +% tspan = [ti, tf]; initial and final times with output +% generated at interval of h, or +% = [t0 t1 ... tf]; specific times where solution output +% y0 = initial values of dependent variables +% h = step size +% p1,p2,... = additional parameters used by dydt +% output: +% tp = vector of independent variable +% yp = vector of solution for dependent variables +if nargin<4,error('at least 4 input arguments required'), end +if any(diff(tspan)<=0),error('tspan not ascending order'), end +n = length(tspan); +ti = tspan(1);tf = tspan(n); +if n == 2 + t = (ti:h:tf)'; n = length(t); + if t(n)h,hh = h;end + while(1) + if tt+hh>tend,hh = tend-tt;end + k1 = dydt(tt,y(i,:),varargin{:})'; + ymid = y(i,:) + k1.*hh./2; + k2 = dydt(tt+hh/2,ymid,varargin{:})'; + ymid = y(i,:) + k2*hh/2; + k3 = dydt(tt+hh/2,ymid,varargin{:})'; + yend = y(i,:) + k3*hh; + k4 = dydt(tt+hh,yend,varargin{:})'; + phi = (k1+2*(k2+k3)+k4)/6; + y(i+1,:) = y(i,:) + phi*hh; + tt = tt+hh; + i=i+1; + if tt>=tend,break,end + end + np = np+1; tp(np) = tt; yp(np,:) = y(i,:); + if tt>=tf,break,end +end \ No newline at end of file diff --git a/lecture_24/.ipynb_checkpoints/lecture_24-checkpoint.ipynb b/lecture_24/.ipynb_checkpoints/lecture_24-checkpoint.ipynb new file mode 100644 index 0000000..2fd6442 --- /dev/null +++ b/lecture_24/.ipynb_checkpoints/lecture_24-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lecture_24/feng et al 2009-paper_airplane.pdf b/lecture_24/feng et al 2009-paper_airplane.pdf new file mode 100644 index 0000000..d48bd26 Binary files /dev/null and b/lecture_24/feng et al 2009-paper_airplane.pdf differ diff --git a/lecture_24/lecture_24.ipynb b/lecture_24/lecture_24.ipynb new file mode 100644 index 0000000..9ecde82 --- /dev/null +++ b/lecture_24/lecture_24.ipynb @@ -0,0 +1,86 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![q1](q1.png)\n", + "\n", + "![q2](q2.png)\n", + "\n", + "### How do Runge-Kutta methods increase the order of convergence?\n", + "![q3](q3.png)\n", + "\n", + "## Questions from you\n", + "\n", + "- How do Runge-Kutta methods increase the order of convergence?\n", + "\n", + "- Can you provide more assistance for the final project?\n", + "\n", + "- Will there be another homework? Or is it just the final project for the rest of the semester.\n", + "\n", + "- will the competition be limited to numerical methods or general engineering problems (like the hack-a-thon)?\n", + "\n", + "- On the final project, to get the GitHub bonus, do you have to solve the issue? Or do the points go to the one who opens the issue?\n", + "\n", + "- can we go over the final project" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Paper Airplane Design challenge\n", + "\n", + "We looked at a Phugoid model comparing Euler and Runge-Kutta second order solutions. Now, use this model to maximize the distance your paper airplane will fly. \n", + "\n", + "Using the phugoid model, write a new code to analyze the flight of a paper airplane, with the following conditions:\n", + "\n", + "* Assume $L/D$ of 5.2 (a value close to measurements in [Feng et al. 2009](./feng et al 2009-paper_airplane.pdf))\n", + "* For the trim velocity, $v_{t}$=5.5 m/s.\n", + "\n", + "Submit your github repository to the following Google form:\n", + "\n", + "[https://goo.gl/forms/mI2CKcyRvfOWz5FF3](https://goo.gl/forms/mI2CKcyRvfOWz5FF3)\n", + "\n", + "Initial judging by Prof. Cooper will be based upon clarity of solution (e.g. documents, files, results in README)\n", + "\n", + "The top groups will be distributed to the class to be voted on\n", + "\n", + "We have focused on Matlab/Octave in our work this semester, but if you prefer Python or some other language, feel free to code your solution in your language of choice. \n", + "\n", + "**Good Luck!**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "0.19.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lecture_24/q1.png b/lecture_24/q1.png new file mode 100644 index 0000000..b6f47ff Binary files /dev/null and b/lecture_24/q1.png differ diff --git a/lecture_24/q2.png b/lecture_24/q2.png new file mode 100644 index 0000000..77dfdb5 Binary files /dev/null and b/lecture_24/q2.png differ diff --git a/lecture_24/q3.png b/lecture_24/q3.png new file mode 100644 index 0000000..3d37be2 Binary files /dev/null and b/lecture_24/q3.png differ