notebook/1D heat equation, finite difference, Neumann BC.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "953cbb1b",
   "metadata": {},
   "source": [
    "# 1D heat equation, finite difference, Neumann boundary conditions\n",
    "\n",
    "_Gilbert François Duivesteijn_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2c4918a0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "MathJax.Hub.Config({\n",
       "    TeX: { equationNumbers: { autoNumber: \"AMS\" } }\n",
       "});\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%javascript\n",
    "MathJax.Hub.Config({\n",
    "    TeX: { equationNumbers: { autoNumber: \"AMS\" } }\n",
    "});"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7119c56e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "from scipy.integrate import odeint\n",
    "from scipy.linalg import toeplitz\n",
    "from IPython import display"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb9fb7e7",
   "metadata": {},
   "source": [
    "Let's look at the function\n",
    "\\begin{align}\n",
    "\\frac{\\partial u}{\\partial t} &= \\kappa \\frac{\\partial^2 u}{\\partial x^2}\n",
    "\\end{align}\n",
    "with boundary conditions\n",
    "\\begin{align}\n",
    "\\label{eq:dirichlet}\\left .u\\right|_{0} &= B_0 \\\\\n",
    "\\label{eq:neumann}\\left . \\frac{\\partial u}{\\partial x} \\right|_{n} &= B_n \n",
    "\\end{align}\n",
    "\n",
    "Discretizing the Neumann boundary condition (\\ref{eq:neumann}):\n",
    "\\begin{align}\\label{eq:neumann2}\n",
    "\\frac{\\partial u}{\\partial x} &= \\frac{u_{n} - u_{n-1}}{\\Delta x} = B_n\n",
    "\\end{align}\n",
    "\n",
    "Discretization of $u$ around $n-1$ gives\n",
    "\\begin{align}\\label{eq:neumann3}\n",
    "\\left. \\frac{\\partial^2 u}{\\partial x^2}\\right|_{n-1} &= \\frac{u_{n-2} - 2u_{n-1} + u_n}{\\Delta x^2}\n",
    "\\end{align}\n",
    "\n",
    "Substituting (\\ref{eq:neumann2}) in (\\ref{eq:neumann3}) gives:\n",
    "\\begin{align}\n",
    "u_n &= B_n\\Delta x + u_{n-1} \\\\\n",
    "\\left. \\frac{\\partial^2 u}{\\partial x^2}\\right|_{n-1} &= \\frac{u_{n-2} - 2u_{n-1} + B_n\\Delta x + u_{n-1}}{\\Delta x^2} \\\\\n",
    "&= \\frac{u_{n-2} - u_{n-1} + B_n\\Delta x}{\\Delta x^2}\n",
    "\\end{align}\n",
    "\n",
    "\n",
    "\n",
    "Let's discretize the spacial part and write it as a linear system of equations:\n",
    "\n",
    "\\begin{align}\n",
    "\\frac{\\partial u}{\\partial t} &= A\\cdot u + b \\\\\n",
    "\\frac{\\partial u}{\\partial t} &= \n",
    "\\frac{\\kappa}{\\Delta x^2} \\begin{bmatrix}\n",
    "-2 &  1 &  0 & \\cdots &  0 \\\\\n",
    " 1 & -2 &  1 & \\cdots &  0 \\\\\n",
    " \\vdots &    &  \\ddots &  & \\vdots \\\\\n",
    " 0 &      \\cdots & 1 & -2 & 1 \\\\\n",
    " 0 &     \\cdots & 0 & 1 & -1 \\\\\n",
    "\\end{bmatrix} \n",
    "\\begin{bmatrix}\n",
    "u_1 \\\\\n",
    "u_2 \\\\\n",
    "\\vdots \\\\\n",
    "u_{n-2} \\\\\n",
    "u_{n-1}\n",
    "\\end{bmatrix} +\n",
    "\\begin{bmatrix}\n",
    "\\frac{\\kappa}{\\Delta x^2}B_0 \\\\\n",
    "0 \\\\\n",
    "\\vdots \\\\\n",
    "0 \\\\\n",
    "\\frac{B_{n}}{\\Delta x}\n",
    "\\end{bmatrix}\n",
    "\\end{align}\n",
    "\n",
    "\n",
    "Now we can solve this system of equations as a normal ODE."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2f10b190",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Constant kappa\n",
    "k = 0.005\n",
    "\n",
    "# Spacial domain\n",
    "n = 100\n",
    "L = 1\n",
    "dx = L / n\n",
    "x = np.linspace(dx, L-dx, n)\n",
    "\n",
    "# Time steps\n",
    "T0 = 0.0\n",
    "Tn = 2.0\n",
    "t_steps = 1000\n",
    "dt = (Tn - T0)/t_steps\n",
    "t = np.linspace(T0, Tn, t_steps)\n",
    "\n",
    "# Boundary conditions\n",
    "B0 = 3.0\n",
    "Bn = 0.0\n",
    "\n",
    "# Initial condition, u(x,0)=0\n",
    "Uinit = np.ones(shape=(n,)) * 0.0\n",
    "\n",
    "# Discretization matrix A\n",
    "A = toeplitz([-2.0, 1.0] + [0.0]*(n-2))\n",
    "A[n-1,n-1] = -1\n",
    "A = k / dx**2 * A\n",
    "\n",
    "# Vector with boundary conditions b\n",
    "b = np.zeros(shape=(n))\n",
    "b[0] = k / dx**2 * B0\n",
    "b[n-1] = 1/dx * Bn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cab6aa26",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CFL = 0.1000\n"
     ]
    }
   ],
   "source": [
    "print(f\"CFL = {k * dt / dx**2:0.4f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2ab28e1f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "A =\n",
      "[[-100.   50.    0. ...    0.    0.    0.]\n",
      " [  50. -100.   50. ...    0.    0.    0.]\n",
      " [   0.   50. -100. ...    0.    0.    0.]\n",
      " ...\n",
      " [   0.    0.    0. ... -100.   50.    0.]\n",
      " [   0.    0.    0. ...   50. -100.   50.]\n",
      " [   0.    0.    0. ...    0.   50.  -50.]]\n",
      "\n",
      "b =\n",
      "[150.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.\n",
      "   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.\n",
      "   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.\n",
      "   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.\n",
      "   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.\n",
      "   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.\n",
      "   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.   0.\n",
      "   0.   0.]\n"
     ]
    }
   ],
   "source": [
    "print(\"\\nA =\")\n",
    "print(A)\n",
    "print(\"\\nb =\")\n",
    "print(b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "61d2dab3",
   "metadata": {},
   "outputs": [],
   "source": [
    "def fn(u, t, A, b, k, dx):\n",
    "    return ((k/dx**2)*np.matmul(A, u) + (k/dx**2)*b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2b692e26",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11.3 s, sys: 12.8 s, total: 24.1 s\n",
      "Wall time: 683 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "u = odeint(fn, Uinit, t, args=(A, b, k, dx))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b72e7abb",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(14, 6))\n",
    "axs[0].set_ylim(0, 3)\n",
    "axs[0].plot(x, u[0], label=f\"t={0 * Tn/t_steps:0.2f}\")\n",
    "axs[0].plot(x, u[3], label=f\"t={3 * Tn/t_steps:0.2f}\")\n",
    "axs[0].plot(x, u[10], label=f\"t={10 * Tn/t_steps:0.2f}\")\n",
    "axs[0].plot(x, u[30], label=f\"t={30 * Tn/t_steps:0.2f}\")\n",
    "axs[0].plot(x, u[100], label=f\"t={100 * Tn/t_steps:0.2f}\")\n",
    "axs[0].plot(x, u[300], label=f\"t={300 * Tn/t_steps:0.2f}\")\n",
    "axs[0].plot(x, u[999], label=f\"t={1000 * Tn/t_steps:0.2f}\")\n",
    "axs[0].legend()\n",
    "axs[0].set_ylabel(\"Temperature\")\n",
    "axs[0].set_xlabel(\"x\")\n",
    "axs[1].imshow(u, aspect=\"auto\", cmap=\"inferno\", origin=\"lower\", extent=[0, L, T0, Tn])\n",
    "axs[1].set_xlabel(f\"x\")\n",
    "axs[1].set_ylabel(\"time\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e3c2b140",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Animation of the solution over the integrated time span. \n",
    "\n",
    "def animate(frame):\n",
    "    \"\"\" Animation \"\"\"\n",
    "    y = u[frame]\n",
    "    line.set_data((x, y))\n",
    "    plt.title(f\"t={Tn * frame / t_steps:0.2f}\")\n",
    "\n",
    "# Create the plot\n",
    "fig = plt.figure(figsize=(6, 6))\n",
    "lines = plt.plot([])\n",
    "line = lines[0]\n",
    "plt.xlim([0, L])\n",
    "plt.ylim([0, 4])\n",
    "plt.ylabel(\"Temperature\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.title(\"\")\n",
    "  \n",
    "anim = FuncAnimation(fig, animate, frames=t_steps, interval=20)\n",
    "video = anim.to_html5_video()\n",
    "html = display.HTML(video)\n",
    "display.display(html)\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a4c1779a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.8.10"
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