{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from Druckrohrleitung_class_file import Druckrohrleitung_class\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "#importing pressure conversion function\n",
    "import sys\n",
    "import os\n",
    "current = os.path.dirname(os.path.realpath('Main_Programm.ipynb'))\n",
    "parent = os.path.dirname(current)\n",
    "sys.path.append(parent)\n",
    "from functions.pressure_conversion import pressure_conversion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib qt5\n",
    "#define constants\n",
    "\n",
    "g       = 9.81              # gravitational acceleration [m/s²]\n",
    "rho     = 1000              # density of water [kg/m³]\n",
    "\n",
    "L       = 1000              # length of pipeline [m]\n",
    "D       = 1                 # pipe diameter [m]\n",
    "Q0      = 2                 # initial flow in whole pipe [m³/s]\n",
    "h_res   = 20                # water level in upstream reservoir [m]\n",
    "n       = 10                # number of pipe segments in discretization\n",
    "nt      = 100               # number of time steps after initial conditions\n",
    "f_D     = 0.01              # Darcy friction factor\n",
    "c       = 400               # propagation velocity of the pressure wave [m/s]\n",
    "h_pipe  = 200              # hydraulic head without reservoir [m] \n",
    "alpha   = np.arcsin(h_pipe/L)  # Höhenwinkel der Druckrohrleitung \n",
    "\n",
    "\n",
    "# preparing the discretization and initial conditions\n",
    "initial_influx  = 2.                                    # m³/s\n",
    "initial_level   = 10.                                   # m\n",
    "dx              = L/n                                   # length of each pipe segment\n",
    "dt              = dx/c                                  # timestep according to method of characterisitics\n",
    "nn              = n+1                                   # number of nodes\n",
    "pl_vec          = np.arange(0,nn*dx,dx)                 # pl = pipe-length. position of the nodes on the pipeline\n",
    "t_vec           = np.arange(0,nt*dt,dt)                 # time vector\n",
    "h_vec           = np.arange(0,h_pipe+h_pipe/n,h_pipe/n) # hydraulic head of pipeline at each node\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "pipe = Druckrohrleitung_class(L,D,n,alpha,f_D)\n",
    "pipe.set_pressure_propagation_velocity(c)\n",
    "pipe.set_number_of_timesteps(nt)\n",
    "pipe.set_steady_state(initial_influx,initial_level,pl_vec,h_vec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# initialization for timeloop\n",
    "\n",
    "# prepare the vectors in which the pressure and velocity distribution in the pipeline from the previous timestep are stored\n",
    "v_old = pipe.get_current_velocity_distribution()\n",
    "p_old = pipe.get_current_pressure_distribution()\n",
    "\n",
    "# prepare the vectors in which the temporal evolution of the boundary conditions are stored\n",
    "    # keep in mind, that the velocity at the turbine and the pressure at the reservoir are set manually and\n",
    "        # through the time evolution of the reservoir respectively  \n",
    "    # the pressure at the turbine and the velocity at the reservoir are calculated from the method of characteristics\n",
    "v_boundary_res  = np.zeros_like(t_vec)\n",
    "v_boundary_tur  = np.zeros_like(t_vec)\n",
    "p_boundary_res  = np.zeros_like(t_vec)\n",
    "p_boundary_tur  = np.zeros_like(t_vec)\n",
    "\n",
    "# set the boundary conditions for the first timestep\n",
    "v_boundary_res[0]   = v_old[0]\n",
    "v_boundary_tur[0]   = v_old[-1] \n",
    "p_boundary_res[0]   = p_old[0]\n",
    "p_boundary_tur[0]   = p_old[-1]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig2,axs2 = plt.subplots(2,1)\n",
    "axs2[0].set_title('Pressure distribution in pipeline')\n",
    "axs2[0].set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
    "axs2[0].set_ylabel(r'$p$ [mWS]')\n",
    "lo_00, = axs2[0].plot(pl_vec,pressure_conversion(p_old,'Pa','mWS'),marker='.')\n",
    "axs2[0].set_ylim([0.9*np.min(pressure_conversion(p_old,'Pa','mWS')),1.1*np.max(pressure_conversion(p_old,'Pa','mWS'))])\n",
    "\n",
    "axs2[1].set_title('Velocity distribution in pipeline')\n",
    "axs2[1].set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
    "axs2[1].set_ylabel(r'$p$ [mWS]')\n",
    "lo_01, = axs2[1].plot(pl_vec,v_old,marker='.')\n",
    "axs2[1].set_ylim([0.9*np.min(v_old),1.1*np.max(v_boundary_res)])\n",
    "\n",
    "fig2.tight_layout()\n",
    "plt.pause(5)\n",
    "\n",
    "\n",
    "for it in range(1,pipe.nt):\n",
    "    pipe.set_boundary_conditions_next_timestep(p_boundary_res[0],v_boundary_tur[0])\n",
    "    pipe.timestep_characteristic_method()\n",
    "    lo_00.set_ydata(pressure_conversion(pipe.get_current_pressure_distribution(),'Pa','mWS'))\n",
    "    lo_01.set_ydata(pipe.get_current_velocity_distribution())\n",
    "\n",
    "    v_boundary_res[it] = pipe.get_current_velocity_distribution()[0]\n",
    "    v_boundary_tur[it] = pipe.get_current_velocity_distribution()[-1]\n",
    "    p_boundary_res[it] = pipe.get_current_pressure_distribution()[0]\n",
    "    p_boundary_tur[it] = pipe.get_current_pressure_distribution()[-1]\n",
    "\n",
    "\n",
    "    \n",
    "    fig2.suptitle(str(it))\n",
    "    fig2.canvas.draw()\n",
    "    fig2.tight_layout()\n",
    "    plt.pause(0.2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig3,axs3 = plt.subplots(2,2)\n",
    "axs3[0,0].set_title('Pressure Reservoir')\n",
    "axs3[0,0].plot(t_vec,pressure_conversion(p_boundary_res,'Pa','mWS'))\n",
    "axs3[0,0].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
    "axs3[0,0].set_ylabel(r'$p$ [mWS]')\n",
    "axs3[0,0].set_ylim([0.9*np.min(pressure_conversion(p_boundary_res,'Pa','mWS')),1.1*np.max(pressure_conversion(p_boundary_res,'Pa','mWS'))])\n",
    "\n",
    "axs3[0,1].set_title('Velocity Reservoir')\n",
    "axs3[0,1].plot(t_vec,v_boundary_res)\n",
    "axs3[0,1].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
    "axs3[0,1].set_ylabel(r'$v$ [$\\mathrm{m}/\\mathrm{s}$]')\n",
    "axs3[0,1].set_ylim([0.9*np.min(v_boundary_res),1.1*np.max(v_boundary_res)])\n",
    "\n",
    "axs3[1,0].set_title('Pressure Turbine')\n",
    "axs3[1,0].plot(t_vec,pressure_conversion(p_boundary_tur,'Pa','mWS'))\n",
    "axs3[1,0].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
    "axs3[1,0].set_ylabel(r'$p$ [mWS]')\n",
    "axs3[1,0].set_ylim([0.9*np.min(pressure_conversion(p_boundary_tur,'Pa','mWS')),1.1*np.max(pressure_conversion(p_boundary_tur,'Pa','mWS'))])\n",
    "\n",
    "axs3[1,1].set_title('Velocity Turbine')\n",
    "axs3[1,1].plot(t_vec,v_boundary_tur)\n",
    "axs3[1,1].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
    "axs3[1,1].set_ylabel(r'$v$ [$\\mathrm{m}/\\mathrm{s}$]')\n",
    "axs3[1,1].set_ylim([0.9*np.min(v_boundary_tur),1.1*np.max(v_boundary_tur)])\n",
    "\n",
    "fig3.tight_layout()\n",
    "plt.show()"
   ]
  }
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