{ "cells": [ { "cell_type": "code", "execution_count": 163, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "import seaborn as sns; sns.set()\n", "import math " ] }, { "cell_type": "code", "execution_count": 166, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mask = np.loadtxt(\"OceanFlow/mask.csv\", delimiter=',')\n", "mask = np.flip(mask,0)\n", "ax = sns.heatmap(mask)\n", "ax.invert_yaxis()\n", "plt.show()\n", "#invert the y-axis label; not the yaxis" ] }, { "cell_type": "code", "execution_count": 240, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(504, 555)\n" ] } ], "source": [ "print mask.shape\n", "num_row,num_col = mask.shape" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "U = np.zeros((num_row, num_col, 100))\n", "V = np.zeros((num_row, num_col, 100))\n", "SPEED = np.zeros((num_row, num_col, 100))\n", "for i in range(100):\n", " filename_u = \"OceanFlow/\" + str(i+1) + \"u.csv\"\n", " U[:,:,i] = np.loadtxt(filename_u, delimiter=',')\n", " filename_v = \"OceanFlow/\" + str(i+1) + \"v.csv\"\n", " V[:,:,i] = np.loadtxt(filename_v, delimiter=',')\n", " SPEED[:,:,i] = np.sqrt( U[:,:,i]**2 + V[:,:,i]**2 )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1-grid:3km; interval is 3 hours; *25/0.9 to get cm/second" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (a) \n", "We assume that a particle in the ocean, with certain coordinates, will inherit the velocity correponding to the flow at those coordinates. Implement a procedure to track its position and movement caused by the time-varying flow. Explain the procedure, and show that it works by providing examples and plots." ] }, { "cell_type": "code", "execution_count": 168, "metadata": {}, "outputs": [], "source": [ "M, L = mask.shape\n", "#initialize particle's location (X,Y)\n", "#location = (y,x)\n", "\n", "def get_random_location():\n", " '''\n", " make sure location is in the sea\n", " '''\n", " location = (np.random.uniform(0,M), np.random.uniform(0,L) )\n", " y = int(math.floor(location[0]))\n", " x = int(math.floor(location[1]))\n", " while mask[y,x] == 0:\n", " location = ( np.random.uniform(0,M), np.random.uniform(0,L) )\n", " y = int(math.floor(location[0]))\n", " x = int(math.floor(location[1]))\n", " return location\n", " \n", "def get_velocity(loc,t):\n", " '''\n", " given location and time t, return the u and v as a tuple for this paricle.\n", " unit is m/second\n", " '''\n", " y = int(math.floor(loc[0]))\n", " x = int(math.floor(loc[1]))\n", " u = U[y,x,t]*25/0.9/100\n", " v = V[y,x,t]*25/0.9/100\n", " return (u,v)\n", "\n", "def move(loc, stepsize_t, t):\n", " '''\n", " the unit of stepsize_t is second.\n", " an hour = 3600 seconds.\n", " '''\n", " y = loc[0]\n", " x = loc[1]\n", " u,v = get_velocity(loc,t) # unit = m/s\n", " return (y+v*stepsize_t/3000, x+u*stepsize_t/3000)\n" ] }, { "cell_type": "code", "execution_count": 220, "metadata": {}, "outputs": [], "source": [ "def plot_trajectory(init_loc, end_loc, stepsize_t, maxtimes):\n", " '''\n", " max times unit is an hour\n", " '''\n", " ax = sns.heatmap(mask)\n", " ax.invert_yaxis()\n", " y,x = init_loc\n", " times= 0\n", " x_list = []\n", " y_list = []\n", " while times" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(1)\n", "plot_trajectory(get_random_location(),(200,200),3600,300)\n", "plt.savefig('exampe1')\n", "plt.show()\n", "plt.figure(2)\n", "plot_trajectory(get_random_location(),(200,200),3600,300)\n", "\n", "plt.figure(3)\n", "plot_trajectory(get_random_location(),(200,200),3600,300)\n", "plt.figure(4)\n", "plot_trajectory(get_random_location(),(200,200),3600,300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (b) \n", "A (toy) plane has crashed in the Sulu Sea at T = 0. The exact location is unknown, but data suggests that the location of the crash follows a Gaussian distribution with mean (100, 350) (namely (300km,1050km)) with variance σ2. The debris from the plane have been carried away by the ocean flow. You are about to lead a search expedition for the debris. Where would you expect the parts to be at 48hrs, 72hrs, 120hrs? Study the problem varying the variance of the Gaussian distribution. Either pick a few variance samples or sweep through the variances if desired. (Hint: Sample particles and track their evolution.)" ] }, { "cell_type": "code", "execution_count": 217, "metadata": {}, "outputs": [], "source": [ "def get_normal_random(sigma_square):\n", " '''\n", " return a random location based on normal distruibution, (y,x)\n", " '''\n", " sigma = math.sqrt(sigma_square)\n", " y = np.random.normal(M-350, sigma)\n", " x = np.random.normal(100,sigma)\n", " return (y,x)" ] }, { "cell_type": "code", "execution_count": 218, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(151.15372798201875, 96.326219823437)" ] }, "execution_count": 218, "metadata": {}, "output_type": "execute_result" } ], "source": [ "get_normal_random(50)" ] }, { "cell_type": "code", "execution_count": 235, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "crush_location = get_normal_random(100)\n", "plt.figure(figsize=(40,10))\n", "plt.subplot(1,3,1)\n", "plot_trajectory(crush_location,(200,200),3600,48)\n", "plt.axis((50,150,M-350-50,M-350+50))\n", "plt.title('Debris Track 48hrs $\\sigma^2$=50',size = 24)\n", "\n", "plt.subplot(1,3,2)\n", "plot_trajectory(crush_location,(200,200),3600,72)\n", "plt.axis((50,150,M-350-50,M-350+50))\n", "plt.title('Debris Track 72hrs $\\sigma^2$=50',size = 24)\n", "\n", "plt.subplot(1,3,3)\n", "plot_trajectory(crush_location,(200,200),3600,120)\n", "plt.axis((50,150,M-350-50,M-350+50))\n", "plt.title('Debris Track 120hrs $\\sigma^2$=50', size= 24)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 238, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "crush_location = get_normal_random(100)\n", "plt.figure(figsize=(40,10))\n", "plt.subplot(1,3,1)\n", "plot_trajectory(crush_location,(200,200),3600,48)\n", "plt.axis((50,150,M-350-50,M-350+50))\n", "plt.title('Debris Track 48hrs $\\sigma^2$=100',size = 24)\n", "\n", "plt.subplot(1,3,2)\n", "plot_trajectory(crush_location,(200,200),3600,72)\n", "plt.axis((50,150,M-350-50,M-350+50))\n", "plt.title('Debris Track 72hrs $\\sigma^2$=100',size = 24)\n", "\n", "plt.subplot(1,3,3)\n", "plot_trajectory(crush_location,(200,200),3600,120)\n", "plt.axis((50,150,M-350-50,M-350+50))\n", "plt.title('Debris Track 120hrs $\\sigma^2$=100', size= 24)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 2 }