{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import numpy as np\n",
    "import safim\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "matplotlib.rcParams['figure.figsize'] =15,10\n",
    "matplotlib.rcParams.update({'font.size' : 18})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Model parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Aspect ratio of the iceberg\n",
    "eps = 0.25\n",
    "# Iceberg's height (the biggest dimension in 2D)\n",
    "H = 800. # (m) \n",
    "# Initial inclination angle\n",
    "theta_0 = 1. # (degree)\n",
    "# Water density\n",
    "rho_w = 1025. # (kg/m^3)\n",
    "# Ice density\n",
    "rho_i = 920. # (kg/m^3)\n",
    "# Simulation time\n",
    "tmax = 200. # (s)\n",
    "# Acceleration of gravity\n",
    "g = 9.8 # (m/s^2)\n",
    "# Number of time steps. Automatically computed, no need to change.\n",
    "Ntime = tmax/np.sqrt(H/g) * 90.35 # Number of time steps. The factor 90.35 is universal.\n",
    "# Time step. Automatically computed, no need to change.\n",
    "dt = tmax/float(Ntime)\n",
    "# Initial vertical shift from the vertical hydrostatic equilibrium: dz > 0 above its hydrostatic eq., dz < 0 - below\n",
    "dz =  0. # (m)\n",
    "# Drag factor\n",
    "alpha = 1. # (-)\n",
    "# Added mass factors for x,z and moment of inertia\n",
    "cmx = 0. # (-)\n",
    "cmz = 0. # (-)\n",
    "cmI = 0. # (-)\n",
    "# \n",
    "resultsfile = \"Results.npz\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create iceberg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Create an iceberg and do the simulation\n",
    "theta_0 *= np.pi/180. # Now, theta is in rad\n",
    "# Compute initial vertical position of the center of mass of the iceberg\n",
    "zg0 = -(rho_i/rho_w - 0.5)*H*np.cos(theta_0) + dz\n",
    "iceberg = safim.Iceberg(np.array([0.,zg0,0.]), [0,0,theta_0], eps*H, H, alpha, rho_i, rho_w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run simulations and save results in a file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "time,x,z,theta,Fx,Fz,My = safim.Simu(iceberg, dt, tmax, cmx, cmz, cmI)\n",
    "np.savez(\"Results.npz\",time=time,x=x,z=z,theta=theta,Fx=Fx,Fz=Fz,My=My)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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9UX3oEMnAi8BNwATgfMxE34SpU/s9sP/x9u0cj4oiHjPxNxcTHJcC72IGKsWUlem5EpEh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\nKFIBAAAAAG7j/wM/QuGVImYYAwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b925c8910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "npzfile = np.load(resultsfile)\n",
    "t = npzfile['time']\n",
    "\n",
    "Fx = npzfile['Fx']\n",
    "\n",
    "fig,ax = plt.subplots()\n",
    "plt.grid(True)\n",
    "plt.plot(time, Fx, \"o-\", color=\"r\")\n",
    "plt.xlabel(\"time, $t$ (s)\")\n",
    "plt.ylabel(\"Horizontal force, $F_x$ (N/m)\")\n",
    "fig.savefig(\"Force_x.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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lnJNHiyvdpxHbg5zWAOezcuWDDp5MxHC71/UY2FRCb5lXl6stoTKvkUpLi3ns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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5b92317b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "z = npzfile['z']\n",
    "\n",
    "fig,ax = plt.subplots()\n",
    "plt.grid(True)\n",
    "plt.plot(time, z, \"o-\", color=\"b\")\n",
    "plt.xlabel(\"time, $t$ (s)\")\n",
    "plt.ylabel(\"position, $z$ (m)\")\n",
    "fig.savefig(\"Coord_z.pdf\")\n",
    "\n",
    "npzfile.close()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
