{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ac9729b7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import ticker\n",
    "import numpy as np\n",
    "import numpy.linalg as npl\n",
    "\n",
    "import pherosensor\n",
    "\n",
    "from pheromone_dispersion.advection_operator import Advection\n",
    "from pheromone_dispersion.geom import MeshRect2D\n",
    "from pheromone_dispersion.velocity import Velocity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d4c83810",
   "metadata": {},
   "outputs": [],
   "source": [
    "Lx = 20\n",
    "Ly = 25\n",
    "Delta_x = 0.4\n",
    "Delta_y = 0.4\n",
    "T_final = 5."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2d9beb8",
   "metadata": {},
   "source": [
    "# Test of the numerical scheme of the advection operator\n",
    "This notebook aims to test the implementation of the numerical scheme of the advection operator.\n",
    "\n",
    "The advection operator is the operator $A:c(x,y)\\mapsto \\nabla\\cdot(U(x,y) c(x,y))~\\forall (x,y)\\in\\Omega$ such that $U(x,y)c(x,y)\\cdot \\vec{n} = 0~\\forall(x,y)\\in\\partial\\Omega_i$ with $\\partial\\Omega_i = \\{ (x,y)\\in\\partial\\Omega, U(x,y)\\cdot\\vec{n}<0\\}$.\n",
    "\n",
    "## Reference solution\n",
    "\n",
    "We consider the reference solution $c^{ref}(x,y) = sin\\left(\\frac{2\\pi n_x}{L_x}x\\right)sin\\left(\\frac{2\\pi n_y}{L_y}y\\right)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ce7f387c",
   "metadata": {},
   "outputs": [],
   "source": [
    "nx = 5\n",
    "ny = 7\n",
    "lambda_x = 2 * np.pi * nx / Lx\n",
    "lambda_y = 2 * np.pi * ny / Ly\n",
    "\n",
    "def c_reference(x,y): \n",
    "    return np.sin(lambda_x * x) * np.sin(lambda_y * y)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e2d162f",
   "metadata": {},
   "source": [
    "and the velocity $U(x,y)=(u,v)(x,y)=(\\frac{3}{L_x}x, \\frac{4}{L_y}y)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ed274356",
   "metadata": {},
   "outputs": [],
   "source": [
    "def u(x):\n",
    "    return 3*x/Lx\n",
    "\n",
    "def v(y): \n",
    "    return 4*y/Ly    \n",
    "\n",
    "def velocity_field(msh): \n",
    "    x, yi = np.meshgrid(msh.x, msh.y_horizontal_interface)\n",
    "    U_hi = np.zeros((msh.y_horizontal_interface.size,msh.x.size,2))\n",
    "    U_hi[:,:,0] = u(x)\n",
    "    U_hi[:,:,1] = v(yi) \n",
    "    \n",
    "    xi, y = np.meshgrid(msh.x_vertical_interface, msh.y)\n",
    "    U_vi = np.zeros((msh.y.size,msh.x_vertical_interface.size,2))\n",
    "    U_vi[:,:,0] = u(xi)\n",
    "    U_vi[:,:,1] = v(y) \n",
    "    \n",
    "    return Velocity(msh, U_vi, U_hi)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d1408a7",
   "metadata": {},
   "source": [
    "Therefore, we have:\\\n",
    "$\\partial_x(uc^{ref})(x,y)=\\frac{3}{L_x}\\left(\\frac{2\\pi n_x}{L_x}xcos\\left(\\frac{2\\pi n_x}{L_x}x\\right)+sin\\left(\\frac{2\\pi n_x}{L_x}x\\right)\\right)sin\\left(\\frac{2\\pi n_y}{L_y}y\\right)$,\\\n",
    "$\\partial_y(vc^{ref})(x,y)=\\frac{4}{L_y}\\left(\\frac{2\\pi n_y}{L_y}ycos\\left(\\frac{2\\pi n_y}{L_y}y\\right)+sin\\left(\\frac{2\\pi n_y}{L_y}y\\right)\\right)sin\\left(\\frac{2\\pi n_x}{L_x}x\\right)$.\\\n",
    "We can note that the reference solution satisfies the boundary conditions.\n",
    "\n",
    "Hence, we have $Ac^{ref}(x,y) = \\nabla\\cdot(U c^{ref})(x,y) = \\frac{3}{L_x}\\left(\\frac{2\\pi n_x}{L_x}xcos\\left(\\frac{2\\pi n_x}{L_x}x\\right)+sin\\left(\\frac{2\\pi n_x}{L_x}x\\right)\\right)sin\\left(\\frac{2\\pi n_y}{L_y}y\\right) + \\frac{4}{L_y}\\left(\\frac{2\\pi n_y}{L_y}ycos\\left(\\frac{2\\pi n_y}{L_y}y\\right)+sin\\left(\\frac{2\\pi n_y}{L_y}y\\right)\\right)sin\\left(\\frac{2\\pi n_x}{L_x}x\\right)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9b85e931",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Ac_reference(x,y): \n",
    "    res = (3 / Lx) * ( lambda_x * x * np.cos(lambda_x * x) + np.sin(lambda_x * x) ) * np.sin(lambda_y * y)\n",
    "    res+= (4 / Ly) * ( lambda_y * y * np.cos(lambda_y * y) + np.sin(lambda_y * y) ) * np.sin(lambda_x * x)\n",
    "    return res"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c003a951",
   "metadata": {},
   "source": [
    "## Numerical scheme\n",
    "\n",
    "The numerical scheme used is a finite volume scheme. The average of the advection operator over a control volume $\\Omega_{i,j}$ is : $\\frac{1}{|\\Omega_{i,j}|} \\int_{\\Omega_{i,j}} \\nabla\\cdot(U(x,y) c(x,y))dx dy = \\frac{1}{|\\Omega_{i,j}|} \\int_{\\partial \\Omega_{i,j}}U(x,y)c(x,y)\\cdot \\vec{n} dx dy$.\\\n",
    "In the present case, we use uniform cartesian meshes with the same space step along the two axis. We will denote by the indexes $i+\\frac{1}{2},j$ the vertical interface between the control volumes $i,j$ and $i+1,j$, and similarly for the horizontal interfaces. Moreover, let us note that on the vertical interfaces $\\vec{n}=(\\pm1,0)$ and on the horizontal interfaces $\\vec{n}=(0,\\pm1)$.\\\n",
    "Therefore, we have: $\\frac{1}{|\\Omega_{i,j}|} \\int_{\\partial \\Omega_{i,j}}U(x,y)c(x,y)\\cdot \\vec{n} dx dy \\approx A^{solver}c(x_i,y_j) = \\frac{1}{|\\Omega_{i,j}|}\\left(\\Delta y\\left(c_{i+\\frac{1}{2},j}u_{i+\\frac{1}{2},j}-c_{i-\\frac{1}{2},j}u_{i-\\frac{1}{2},j}\\right)+\\Delta x\\left(c_{i,j+\\frac{1}{2}}v_{i,j+\\frac{1}{2}}-c_{i,j-\\frac{1}{2}}v_{i,j-\\frac{1}{2}}\\right)\\right)$.\\\n",
    "In the present case, the scheme is a upwind scheme. Therefore, the concentration at the interfaces are given by: \n",
    "- if $U_{i\\pm1/2,j}\\cdot \\vec{n} = u_{i\\pm1/2,j} > 0$, then $c_{i\\pm1/2,j} = c_{i\\pm1/2-1/2,j}$, else $c_{i\\pm1/2,j} = c_{i\\pm1/2+1/2,j}$,\n",
    "- if $U_{i,j\\pm1/2}\\cdot \\vec{n} = v_{i,j\\pm1/2} > 0$, then $c_{i,j\\pm1/2} = c_{i,j\\pm1/2-1/2}$, else $c_{i,j\\pm1/2} = c_{i,j\\pm1/2+1/2}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8eb39075",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "dx =  0.002\n",
      "\n",
      "dx =  0.004\n",
      "\n",
      "dx =  0.04000000000000001\n",
      "\n",
      "dx =  0.4\n"
     ]
    }
   ],
   "source": [
    "space_factor_a = [0.005, 0.01, 0.1, 1.]\n",
    "dx_a = np.zeros(len(space_factor_a))\n",
    "\n",
    "MAE = np.zeros(len(space_factor_a))\n",
    "RMSE = np.zeros(len(space_factor_a))\n",
    "\n",
    "for i, space_factor in enumerate(space_factor_a):\n",
    "    \n",
    "    msh = MeshRect2D(Lx, Ly, Delta_x*space_factor, Delta_y*space_factor, T_final)\n",
    "    x, y = np.meshgrid(msh.x, msh.y)\n",
    "    dx_a[i] = Delta_x*space_factor\n",
    "    \n",
    "    c_ref = c_reference(x, y)\n",
    "    Ac_ref = Ac_reference(x,y)\n",
    "\n",
    "    U = velocity_field(msh)\n",
    "    A = Advection(U, msh)\n",
    "    Ac_solver = A.matvec(c_ref.reshape((msh.y.size * msh.x.size,)))\n",
    "    Ac_solver = Ac_solver.reshape((msh.y.size, msh.x.size))\n",
    "    \n",
    "    RMSE[i] = npl.norm(Ac_solver - Ac_ref) / np.sqrt(Ac_ref.size)\n",
    "    MAE[i] = np.mean(np.abs(Ac_solver-Ac_ref))\n",
    "    \n",
    "    print(\"\")\n",
    "    print(\"dx = \", msh.dx)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb4ced33",
   "metadata": {},
   "source": [
    "## Analysis of the truncation error\n",
    "In the present case, since the components of the velocity field are positive ($u,v\\geq0$) and du to the uniform cartesian mesh (with $\\Delta x = \\Delta y$), the upwind finite volume scheme is equivalent to a standard upwind finite difference scheme.\\\n",
    "Hence, we have the truncation error $Rc(x,y) = |A^{solver}c(x,y) - A c(x,y)|=\\mathcal{O}(\\Delta x)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0782208a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x79247ba168d0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 2000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "slope_MAE = (np.log(MAE[0]) - np.log(MAE[-1])) / (np.log(dx_a[0]) - np.log(dx_a[-1])) \n",
    "slope_RMSE = (np.log(RMSE[0]) - np.log(RMSE[-1]) ) / ( np.log(dx_a[0]) - np.log(dx_a[-1])) \n",
    "\n",
    "fontsize = 25\n",
    "fig, ax1 = plt.subplots(figsize=(20, 10))\n",
    "ax1.plot(dx_a,MAE,'-or',label=r'$\\frac{1}{|\\Omega|}||Rc^{ref}||_{L^1(\\Omega)}$'+f', slope = {\"{:.5f}\".format(slope_MAE)}')\n",
    "ax1.plot(dx_a,RMSE,'-ob',label=r'$\\frac{1}{\\sqrt{|\\Omega|}}||Rc^{ref}||_{L^2(\\Omega)}$'+f', slope = {\"{:.5f}\".format(slope_RMSE)}')\n",
    "ax1.tick_params(axis='both',labelsize=fontsize-5)\n",
    "ax1.set_ylabel(r'error', fontsize=fontsize)\n",
    "ax1.set_xlabel('$\\Delta x$ ($m$)', fontsize=fontsize)\n",
    "ax1.set_xscale('log')\n",
    "ax1.set_yscale('log')\n",
    "ax1.legend(loc='upper left',prop={'size': fontsize})"
   ]
  }
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