{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ATW relaxation notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import warnings\n",
    "from copy import deepcopy\n",
    "\n",
    "# Global constants\n",
    "f = 1e-4      # [s-1]\n",
    "g = 9.81      # [m s-2]\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams['font.size'] = 14\n",
    "warnings.simplefilter('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Analytical solution\n",
    "\n",
    "Start with the linearized, steady state shallow water equations with linear friction and longshore windstress. Assume cross-shore geostrophic balance.\n",
    "\n",
    "\\begin{align}\n",
    "f\\mathbf{k}\\times\\mathbf{u} & = -g\\nabla\\eta + \\frac{1}{h}\\left(\\tau_y - \\mu v\\right)\\hat{\\jmath} \\tag{1a} \\\\\n",
    "0 & = \\nabla\\cdot h\\mathbf{u} \\tag{1b}\n",
    "\\end{align}\n",
    "\n",
    "Taking the curl of (1a) and solving for $\\eta$ gives the the Arrested Topography Wave (ATW) of Csanady (1978 *JPO*). I have oriented the problem to $x\\to-\\infty$ offshore such that $\\frac{\\partial h}{\\partial x} = -s$.\n",
    "\n",
    "$$\\frac{\\partial^2\\eta}{\\partial x^2} - \\frac{1}{\\kappa}\\frac{\\partial\\eta}{\\partial y} = 0, \\hspace{0.5cm} \\frac{1}{\\kappa} = \\frac{fs}{\\mu}\\tag{2}$$\n",
    "\n",
    "The coastal boundary condition (obtained from 1a) requires $u \\to 0$ and $h \\to 0$\n",
    "\n",
    "$$\\frac{\\partial\\eta}{\\partial x}(0, y) = \\frac{\\tau_yf}{\\mu g} = q_0 \\tag{3}$$\n",
    "\n",
    "Equation (2) is analogous to a constant heat flux boundary condition. The solution is given by Carslaw and Jaeger 1959 (p. 112)\n",
    "\n",
    "$$\\eta(x, y) = \\frac{\\kappa q_0y}{L} + q_0L\\left\\{\\frac{3(x + L)^2 - L^2}{6L^2} - \\frac{2}{\\pi^2}\\sum_{n=1}^\\infty\\frac{(-1)^n}{n^2}\\exp\\left(\\frac{-\\kappa n^2\\pi^2y}{L^2}\\right)\\cos\\left(\\frac{n\\pi(x + L)}{L}\\right)\\right\\} \\tag{4}$$\n",
    "\n",
    "which, as $y\\to\\infty$, reduces to\n",
    "\n",
    "$$\\eta(x, y) = \\frac{\\kappa q_0y}{L} + q_0L\\frac{3(x + L)^2 - L^2}{6L^2} \\tag{5}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate $\\eta$ according to equation (5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def calc_eta(x, y, L, kappa, q_0):\n",
    "    \"\"\"Calculate eta according to equation 5\n",
    "    \"\"\"\n",
    "    \n",
    "    return kappa * q_0 * y / L + q_0 * L * (3 * (x + L)**2 - L**2) / (6 * L**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Find $\\eta$ given problem parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Constants\n",
    "L = 1e3        # Slope width [m]\n",
    "tau_y = -1e-4  # Kinematic wind stress [m2 s-2]\n",
    "mu = 1e-2      # Linear friction coefficient [s-1]\n",
    "s = 1          # Shelf slope [dimensionless]\n",
    "\n",
    "# Terms (heat equation analogues)\n",
    "kappa = mu / (f * s)        # 'Diffusivity' of eta\n",
    "q_0 = tau_y * f / (mu * g)  # 'Flux' of eta through boundary\n",
    "\n",
    "# Coordinates\n",
    "dL = L * 1e-2\n",
    "xi = np.arange(-L, 0, dL)\n",
    "yi = np.arange(0, L, dL)\n",
    "x, y = np.meshgrid(xi, yi)\n",
    "\n",
    "# Solution\n",
    "eta = calc_eta(x, y, L, kappa, q_0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot $\\eta$ solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ODzulWKs+fzKP1Q2ZDONHupe1mq/A/cKaaP0c1ifmEqzRrTVYp6biqmw3D9hYx37GYZ3i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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff7087739b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot eta\n",
    "fig, ax = plt.subplots(1, 1, figsize=(10, 10))\n",
    "ax.contour(xi/L, yi/L, eta, colors='k')\n",
    "for tick in np.arange(0, 1, 0.015):\n",
    "    ax.plot([0, 0.005], [tick, tick+0.005], 'k-', clip_on=False)\n",
    "ax.set_xlabel('$\\longleftarrow$ $X/L$')\n",
    "ax.set_ylabel('$\\longleftarrow$ $Y/L$')\n",
    "ax.xaxis.set_ticks([-1, 0])\n",
    "ax.yaxis.set_ticks([0, 1])\n",
    "ax.xaxis.set_ticklabels(['$-L$', 0])\n",
    "ax.yaxis.set_ticklabels([0, '$L$'])\n",
    "ax.tick_params(direction='out', pad=8)\n",
    "ax.set_xlim([0, -1])\n",
    "ax.set_ylim([1, 0])\n",
    "ax.text(0.02, 0.05, 'Low $\\eta$', transform=ax.transAxes)\n",
    "ax.text(0.85, 0.9, 'High $\\eta$', transform=ax.transAxes)\n",
    "ax.text(0.03, 0.46, '$\\\\tau_y$', transform=ax.transAxes)\n",
    "ax.arrow(0.04, 0.5, 0, 0.1, transform=ax.transAxes, head_width=0.01, facecolor='k')\n",
    "ax.set_title('Cross-shelf bottom slope (ATW) solution')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Relaxation solution\n",
    "\n",
    "Three schemes:\n",
    "\n",
    "Centered difference\n",
    "\n",
    "$$r_{i, j}^{(n)} = \\frac{\\eta_{i, j+1}^{(n)} - \\eta_{i, j-1}^{(n)}}{2\\Delta y} - \\kappa\\frac{\\eta_{i+1, j}^{(n)} - 2\\eta_{i, j}^{(n)} + \\eta_{i-1, j}^{(n)}}{\\Delta x^2}$$\n",
    "\n",
    "$$\\eta_{i, j}^{(n+1)} = \\eta_{i, j}^{(n)} - \\frac{\\mu\\Delta x^2}{2\\kappa}r_{i, j}^{(n)}$$\n",
    "\n",
    "Upstream Euler\n",
    "\n",
    "$$r_{i, j}^{(n)} = \\frac{\\eta_{i, j+1}^{(n)} - \\eta_{i, j}^{(n)}}{\\Delta y} - \\kappa\\frac{\\eta_{i+1, j}^{(n)} - 2\\eta_{i, j}^{(n)} + \\eta_{i-1, j}^{(n)}}{\\Delta x^2}$$\n",
    "\n",
    "$$\\eta_{i, j}^{(n+1)} = \\eta_{i, j}^{(n)} - \\frac{\\mu}{\\left(\\frac{2\\kappa}{\\Delta x} - 1\\right)}r_{i, j}^{(n)}$$\n",
    "\n",
    "Downstream Euler\n",
    "\n",
    "$$r_{i, j}^{(n)} = \\frac{\\eta_{i, j}^{(n)} - \\eta_{i, j-1}^{(n)}}{\\Delta y} - \\kappa\\frac{\\eta_{i+1, j}^{(n)} - 2\\eta_{i, j}^{(n)} + \\eta_{i-1, j}^{(n)}}{\\Delta x^2}$$\n",
    "\n",
    "$$\\eta_{i, j}^{(n+1)} = \\eta_{i, j}^{(n)} - \\frac{\\mu}{\\left(\\frac{2\\kappa}{\\Delta x} + 1\\right)}r_{i, j}^{(n)}$$\n",
    "\n",
    "Only the downstream Euler is stable."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Find $\\eta$ by relaxation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Find phi by relaxation\n",
    "\n",
    "# Parameters\n",
    "M = eta.shape[0]     # matrix size\n",
    "mu = 1               # SOR convergence parameter\n",
    "TOL = 1e-4           # Convergence tolerance\n",
    "N = 100000           # Max iterations\n",
    "Ci = int(M / 2)      # Cape i position\n",
    "Cj = int(2 * M / 3)  # Cape j position\n",
    "\n",
    "# Allocate arrays\n",
    "eta_next = deepcopy(eta)\n",
    "res = np.zeros(eta.shape)\n",
    "\n",
    "# Reset eta (equation 37)\n",
    "eta = kappa * q_0 * y / L + q_0 * L * (3 * (x + L)**2 - L**2) / (6 * L**2)\n",
    "\n",
    "# Relaxation loop\n",
    "for n in range(N):\n",
    "    for i in range(1, M-1): # Longshore step\n",
    "        for j in range(2, M-1): # Cross-shore step\n",
    "            #Downstream Euler\n",
    "            res[i, j] = (eta[i, j] - eta[i-1, j]) / dL - kappa * (eta[i, j+1] - 2 * eta[i, j] + eta[i, j-1]) / dL**2\n",
    "            eta_next[i, j] = eta[i, j] - mu / (2 * kappa / dL + 1) * res[i, j]\n",
    "    eta = eta_next\n",
    "    eta[Ci, Cj:] = eta[Ci, -1]  # Reset eta along cape equal to eta at coast\n",
    "    #if dL**2 * np.max(abs(res)) / np.max(abs(eta)) < TOL:\n",
    "    #    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 0)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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07NkTWVlZWLJkCe84hMgC7VFTOLEV6e6qqalRzHqAuro6rF69WlbvGVqKh4cH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\nn8oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1a49aee240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot results\n",
    "fig, ax = plt.subplots(1, 1, figsize=(10, 10))\n",
    "ax.contour(xi/L, yi/L, eta, colors='k')\n",
    "ax.set_xlim([0, -1])\n",
    "ax.set_ylim([1, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "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": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}