further code cleanup
This commit is contained in:
202
Druckrohrleitung/Druckrohrleitung_test_steady_state.ipynb
Normal file
202
Druckrohrleitung/Druckrohrleitung_test_steady_state.ipynb
Normal file
@@ -0,0 +1,202 @@
|
||||
{
|
||||
"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()"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Python 3.8.13 ('Georg_DT_Slot3')",
|
||||
"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": "3.8.13"
|
||||
},
|
||||
"orig_nbformat": 4,
|
||||
"vscode": {
|
||||
"interpreter": {
|
||||
"hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd"
|
||||
}
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 2
|
||||
}
|
||||
Reference in New Issue
Block a user