code cleanup and commentary
This commit is contained in:
171
Druckrohrleitung/old/Druckrohrleitung_ETH_class_file.py
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171
Druckrohrleitung/old/Druckrohrleitung_ETH_class_file.py
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import numpy as np
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#importing pressure conversion function
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import sys
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import os
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current = os.path.dirname(os.path.realpath(__file__))
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parent = os.path.dirname(current)
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sys.path.append(parent)
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from functions.pressure_conversion import pressure_conversion
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class Druckrohrleitung_class:
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# units
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acceleration_unit = r'$\mathrm{m}/\mathrm{s}^2$'
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angle_unit = '°'
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area_unit = r'$\mathrm{m}^2$'
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density_unit = r'$\mathrm{kg}/\mathrm{m}^3$'
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flux_unit = r'$\mathrm{m}^3/\mathrm{s}$'
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length_unit = 'm'
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pressure_unit = 'Pa'
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time_unit = 's'
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velocity_unit = r'$\mathrm{m}/\mathrm{s}$' # for flux and pressure propagation
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volume_unit = r'$\mathrm{m}^3$'
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acceleration_unit_print = 'm/s²'
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angle_unit_print = '°'
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area_unit_print = 'm²'
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density_unit_print = 'kg/m³'
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flux_unit_print = 'm³/s'
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length_unit_print = 'm'
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pressure_unit_print = 'Pa'
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time_unit_print = 's'
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velocity_unit_print = 'm/s' # for flux and pressure propagation
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volume_unit_print = 'm³'
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# init
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def __init__(self,total_length,diameter,number_segments,pipeline_angle,Darcy_friction_factor,rho=1000,g=9.81):
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self.length = total_length
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self.dia = diameter
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self.n_seg = number_segments
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self.angle = pipeline_angle
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self.f_D = Darcy_friction_factor # = Rohrreibungszahl oder flow coefficient
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self.density = 1000
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self.g = g
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self.dx = total_length/number_segments
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self.l_vec = np.arange(0,(number_segments+1)*self.dx,self.dx)
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# initialize for get_info method
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self.c = '--'
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self.dt = '--'
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# setter
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def set_pressure_propagation_velocity(self,c):
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self.c = c
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self.dt = self.dx/c
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def set_number_of_timesteps(self,number_timesteps):
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self.nt = number_timesteps
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if self.c == '--':
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raise Exception('Please set the pressure propagation velocity before setting the number of timesteps.')
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else:
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self.t_vec = np.arange(0,self.nt*self.dt,self.dt)
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def set_initial_pressure(self,pressure,input_unit = 'Pa'):
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p,_ = pressure_conversion(pressure,input_unit,target_unit=self.pressure_unit)
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if np.size(p) == 1:
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self.p0 = np.full_like(self.l_vec,p)
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elif np.size(p) == np.size(self.l_vec):
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self.p0 = p
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else:
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raise Exception('Unable to assign initial pressure. Input has to be of size 1 or' + np.size(self.l_vec))
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#initialize the vectors in which the old and new pressures are stored for the method of characteristics
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self.p_old = self.p0.copy()
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self.p = np.empty_like(self.p_old)
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def set_initial_flow_velocity(self,velocity):
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if np.size(velocity) == 1:
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self.v0 = np.full_like(self.l_vec,velocity)
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elif np.size(velocity) == np.size(self.l_vec):
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self.v0 = velocity
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else:
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raise Exception('Unable to assign initial velocity. Input has to be of size 1 or' + np.size(self.l_vec))
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#initialize the vectors in which the old and new velocities are stored for the method of characteristics
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self.v_old = self.v0.copy()
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self.v = np.empty_like(self.v_old)
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def set_boundary_conditions_next_timestep(self,v_reservoir,p_reservoir,v_turbine,input_unit_pressure = 'Pa'):
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rho = self.density
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c = self.c
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f_D = self.f_D
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dt = self.dt
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D = self.dia
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p_old = self.p_old[-2] # @ second to last node (the one before the turbine)
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v_old = self.v_old[-2] # @ second to last node (the one before the turbine)
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self.v_boundary_res = v_reservoir
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self.v_boundary_tur = v_turbine
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self.p_boundary_res,_ = pressure_conversion(p_reservoir,input_unit_pressure,target_unit=self.pressure_unit)
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self.p_boundary_tur = p_old+rho*c*v_old-rho*c*f_D*dt/(2*D)*abs(v_old)*v_old
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self.v[0] = self.v_boundary_res.copy()
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self.v[-1] = self.v_boundary_tur.copy()
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self.p[0] = self.p_boundary_res.copy()
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self.p[-1] = self.p_boundary_tur.copy()
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# getter
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def get_info(self):
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new_line = '\n'
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# :<10 pads the self.value to be 10 characters wide
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print_str = (f"The pipeline has the following attributes: {new_line}"
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f"----------------------------- {new_line}"
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f"Length = {self.length:<10} {self.length_unit_print} {new_line}"
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f"Diameter = {self.dia:<10} {self.length_unit_print} {new_line}"
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f"Number of segemnts = {self.n_seg:<10} {new_line}"
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f"Number of nodes = {self.n_seg+1:<10} {new_line}"
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f"Length per segment = {self.dx:<10} {self.length_unit_print} {new_line}"
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f"Pipeline angle = {self.angle:<10} {self.angle_unit_print} {new_line}"
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f"Darcy friction factor = {self.f_D:<10} {new_line}"
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f"Density of liquid = {self.density:<10} {self.density_unit_print} {new_line}"
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f"Pressure wave vel. = {self.c:<10} {self.velocity_unit_print} {new_line}"
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f"Simulation timesteps = {self.dt:<10} {self.time_unit_print } {new_line}"
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f"Number of timesteps = {self.nt:<10} {new_line}"
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f"----------------------------- {new_line}"
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f"Velocity and pressure distribution are vectors and are accessible by the .v and .p attribute of the pipeline object")
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print(print_str)
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def get_boundary_conditions_next_timestep(self,target_unit_pressure ='bar'):
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print('The pressure at the reservoir for the next timestep is', '\n', \
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pressure_conversion(self.p_boundary_res,self.pressure_unit_print,target_unit_pressure), '\n', \
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'The velocity at the reservoir for the next timestep is', '\n', \
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self.v_boundary_res, self.velocity_unit, '\n', \
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'The pressure at the turbine for the next timestep is', '\n', \
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pressure_conversion(self.p_boundary_tur,self.pressure_unit_print,target_unit_pressure), '\n', \
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'The velocity at the turbine for the next timestep is', '\n', \
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self.v_boundary_tur, self.velocity_unit)
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def timestep_characteristic_method(self):
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#number of nodes
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nn = self.n_seg+1
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rho = self.density
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c = self.c
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f_D = self.f_D
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dt = self.dt
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D = self.dia
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for i in range(1,nn-1):
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self.v[i] = 0.5*(self.v_old[i-1]+self.v_old[i+1])+0.5/(rho*c)*(self.p_old[i-1]-self.p_old[i+1]) \
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-f_D*dt/(4*D)*(abs(self.v_old[i-1])*self.v_old[i-1]+abs(self.v_old[i+1])*self.v_old[i+1])
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self.p[i] = 0.5*rho*c*(self.v_old[i-1]-self.v_old[i+1])+0.5*(self.p_old[i-1]+self.p_old[i+1]) \
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-rho*c*f_D*dt/(4*D)*(abs(self.v_old[i-1])*self.v_old[i-1]-abs(self.v_old[i+1])*self.v_old[i+1])
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self.p_old = self.p.copy()
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self.v_old = self.v.copy()
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187
Druckrohrleitung/old/Druckstoß_ETH.ipynb
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187
Druckrohrleitung/old/Druckstoß_ETH.ipynb
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@@ -0,0 +1,187 @@
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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"#imports\n",
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from pressure_conversion import pressure_conversion"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"#define constants\n",
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"\n",
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"g = 9.81 # gravitational acceleration [m/s²]\n",
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"\n",
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"L = 1000 # length of pipeline [m]\n",
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"rho = 1000 # density of water [kg/m³]\n",
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"D = 1 # pipe diameter [m]\n",
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"Q0 = 2 # initial flow in whole pipe [m³/s]\n",
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"h = 20 # water level in upstream reservoir [m]\n",
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"n = 10 # number of pipe segments in discretization\n",
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"nt = 500 # number of time steps after initial conditions\n",
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"f_D = 0.01 # Darcy friction factor\n",
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"c = 400 # propagation velocity of the pressure wave [m/s]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"# preparing the discretization and initial conditions\n",
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"\n",
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"dx = L/n # length of each pipe segment\n",
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"dt = dx/c # timestep according to method of characterisitics\n",
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"nn = n+1 # number of nodes\n",
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"pl_vec = np.arange(0,nn*dx,dx) # pl = pipe-length. position of the nodes on the pipeline\n",
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"t_vec = np.arange(0,nt*dt,dt) # time vector\n",
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"\n",
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"v0 = Q0/(D**2/4*np.pi)\n",
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"p0 = (rho*g*h-v0**2*rho/2)\n",
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"\n",
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"# storage vectors for old parameters\n",
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"v_old = np.full(nn,v0)\n",
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"p_old = p0-(f_D*pl_vec/D*rho/2*v0**2) # ref Wikipedia: Darcy Weisbach\n",
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"\n",
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"# storage vectors for new parameters\n",
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"v_new = np.zeros_like(v_old)\n",
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"p_new = np.zeros_like(p_old)\n",
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"\n",
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"# storage vector for time evolution of parameters at node 1 (at reservoir)\n",
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"p_1 = np.zeros_like(t_vec)\n",
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"v_1 = np.zeros_like(t_vec)\n",
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"\n",
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"# storage vector for time evolution of parameters at node N+1 (at valve)\n",
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"p_np1 = np.full_like(t_vec,p0)\n",
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"v_np1 = np.full_like(t_vec,v0)\n",
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"\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"%matplotlib qt\n",
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"# plotting preparation\n",
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"\n",
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"fig1,axs1 = plt.subplots(2,1)\n",
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"axs1[0].set_title('Pressure distribution in pipeline')\n",
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"axs1[1].set_title('Velocity distribution in pipeline')\n",
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"\n",
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"lo_00, = axs1[0].plot(pl_vec,p_old,marker='.')\n",
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"lo_01, = axs1[1].plot(pl_vec,v_old,marker='.')\n",
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"axs1[0].set_ylim([-20*p0,20*p0])\n",
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"axs1[1].set_ylim([-2*v0,2*v0])\n",
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"fig1.tight_layout()\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [],
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"source": [
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"for it in range(1,nt):\n",
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"\n",
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" # set boundary conditions\n",
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" v_new[-1] = 0 # in front of the instantaneously closing valve, the velocity is 0\n",
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" p_new[0] = p0 # hydrostatic pressure from the reservoir\n",
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"\n",
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" # calculate the new parameters at first and last node\n",
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" v_new[0] = v_old[1]+1/(rho*c)*(p0-p_old[1])-f_D*dt/(2*D)*abs(v_old[1])*v_old[1]\n",
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" p_new[-1] = p_old[-2]+rho*c*v_old[-2]-rho*c*f_D*dt/(2*D) *abs(v_old[-2])*v_old[-2]\n",
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"\n",
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" # calculate parameters at second to second-to-last nodes \n",
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" #equation 2-30 plus 2-31 (and refactor for v_i^j+1) in block 2\n",
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"\n",
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" for i in range(1,nn-1):\n",
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" v_new[i] = 0.5*(v_old[i-1]+v_old[i+1])+0.5/(rho*c)*(p_old[i-1]-p_old[i+1]) \\\n",
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" -f_D*dt/(4*D)*(abs(v_old[i-1])*v_old[i-1]+abs(v_old[i+1])*v_old[i+1])\n",
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"\n",
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" p_new[i] = 0.5*rho*c*(v_old[i-1]-v_old[i+1])+0.5*(p_old[i-1]+p_old[i+1]) \\\n",
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" -rho*c*f_D*dt/(4*D)*(abs(v_old[i-1])*v_old[i-1]-abs(v_old[i+1])*v_old[i+1])\n",
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" \n",
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"\n",
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" # prepare for next loop\n",
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" # use .copy() to avoid that memory address is overwritten and hell breaks loose :D\n",
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" #https://www.geeksforgeeks.org/array-copying-in-python/\n",
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" p_old = p_new.copy()\n",
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" v_old = v_new.copy()\n",
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"\n",
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" lo_00.set_ydata(p_new)\n",
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" lo_01.set_ydata(v_new)\n",
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" \n",
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" fig1.suptitle(str(it))\n",
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" fig1.canvas.draw()\n",
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" fig1.tight_layout()\n",
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" plt.pause(0.001)\n",
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"\n",
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" # store parameters of node 1 (at reservoir)\n",
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" p_1[it] = p_new[0]\n",
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" v_1[it] = v_new[0]\n",
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" # store parameters of node N+1 (at reservoir)\n",
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" p_np1[it] = p_new[-1]\n",
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" v_np1[it] = v_new[-1]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [],
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"source": [
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"fig2,axs2 = plt.subplots(2,2)\n",
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"axs2[0,0].plot(t_vec,p_1)\n",
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"axs2[0,1].plot(t_vec,v_1)\n",
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"axs2[1,0].plot(t_vec,p_np1)\n",
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"axs2[1,1].plot(t_vec,v_np1)\n",
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"axs2[0,0].set_title('Pressure Reservoir')\n",
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"axs2[0,1].set_title('Velocity Reservoir')\n",
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"axs2[1,0].set_title('Pressure Turbine')\n",
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"axs2[1,1].set_title('Velocity Turbine')\n",
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"fig2.tight_layout()\n",
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"plt.show()"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3.8.13 ('Georg_DT_Slot3')",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.8.13"
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},
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"orig_nbformat": 4,
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"vscode": {
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"interpreter": {
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"hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd"
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}
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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