small changes for consistency, comments and a small fix in the convergence method of the turbine
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@@ -9,14 +9,16 @@ 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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# units
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# make sure that units and display units are the same
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# units are used to label graphs and disp units are used to have a bearable format when using pythons print()
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acceleration_unit = r'$\mathrm{m}/\mathrm{s}^2$'
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angle_unit = 'rad'
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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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pressure_unit = 'Pa' # DONT CHANGE needed for pressure conversion
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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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@@ -27,33 +29,54 @@ class Druckrohrleitung_class:
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density_unit_disp = 'kg/m³'
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flux_unit_disp = 'm³/s'
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length_unit_disp = 'm'
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# pressure_unit_disp will be set within the __init__() method
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time_unit_disp = 's'
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velocity_unit_disp = 'm/s' # for flux and pressure propagation
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volume_unit_disp = 'm³'
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g = 9.81
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g = 9.81 # m/s² gravitational acceleration
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# init
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def __init__(self,total_length,diameter,number_segments,pipeline_angle,Darcy_friction_factor,pw_vel,timestep,pressure_unit_disp,rho=1000):
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self.length = total_length # total length of the pipeline
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self.dia = diameter # diameter of the pipeline
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self.n_seg = number_segments # number of segments for the method of characteristics
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self.angle = pipeline_angle # angle of the pipeline
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self.f_D = Darcy_friction_factor # = Rohrreibungszahl oder flow coefficient
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self.c = pw_vel
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def __init__(self,total_length,diameter,pipeline_head,number_segments,Darcy_friction_factor,pw_vel,timestep,pressure_unit_disp,rho=1000):
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"""
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Creates a reservoir with given attributes in this order: \n
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Pipeline length [m] \n
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Pipeline diameter [m] \n
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Pipeline head [m] \n
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Number of pipeline segments [1] \n
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Darcy friction factor [1] \n
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Pressure wave velocity [m/s] \n
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Simulation timestep [s] \n
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Pressure unit for displaying [string] \n
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Density of the liquid [kg/m³] \n
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"""
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self.length = total_length # total length of the pipeline
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self.dia = diameter # diameter of the pipeline
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self.head = pipeline_head # hydraulic head of the pipeline
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self.n_seg = number_segments # number of segments for the method of characteristics
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self.f_D = Darcy_friction_factor # = Rohrreibungszahl oder flow coefficient
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self.c = pw_vel # propagation velocity of pressure wave
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self.dt = timestep
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self.density = rho # density of the liquid in the pipeline
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self.density = rho # density of the liquid in the pipeline
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self.A = (diameter/2)**2*np.pi
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# derivatives of input attributes
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self.angle = np.arcsin(self.head/self.length) # angle of the pipeline
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self.A = (diameter/2)**2*np.pi # crossectional area of the pipeline
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self.dx = total_length/number_segments # length of each segment
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self.x_vec = np.arange(0,(number_segments+1),1)*self.dx # vector giving the distance from each node to the start of the pipeline
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self.h_vec = np.arange(0,(number_segments+1),1)*self.head/self.n_seg # vector giving the height difference from each node to the start of the pipeline
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self.pressure_unit_disp = pressure_unit_disp # pressure unit for displaying
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self.dx = total_length/number_segments # length of each segment
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self.x_vec = np.arange(0,(number_segments+1),1)*self.dx # vector giving the distance from each node to the start of the pipeline
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self.pressure_unit_disp = pressure_unit_disp
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# setter
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def set_initial_pressure(self,pressure):
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# setter - set attributes
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def set_initial_pressure(self,pressure,display_warning=True):
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# initialize the pressure distribution in the pipeline
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if display_warning == True:
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print('You are setting the pressure distribution in the pipeline manually. \n \
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This is not an intended use of this method. \n \
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Refer to the set_steady_state() method instead.')
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# make sure the vector has the right size
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if np.size(pressure) == 1:
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p0 = np.full_like(self.x_vec,pressure)
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elif np.size(pressure) == np.size(self.x_vec):
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@@ -64,11 +87,18 @@ class Druckrohrleitung_class:
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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 = p0.copy()
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self.p = p0.copy()
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# initialize the vectors in which the minimal and maximal value of the pressure at each node are stores
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self.p_min = p0.copy()
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self.p_max = p0.copy()
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def set_initial_flow_velocity(self,velocity):
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def set_initial_flow_velocity(self,velocity, display_warning=True):
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# initialize the velocity distribution in the pipeline
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if display_warning == True:
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print('You are setting the velocity distribution in the pipeline manually. \n \
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This is not an intended use of this method. \n \
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Refer to the set_steady_state() method instead.')
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# make sure the vector has the right size
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if np.size(velocity) == 1:
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v0 = np.full_like(self.x_vec,velocity)
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elif np.size(velocity) == np.size(self.x_vec):
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@@ -79,6 +109,7 @@ class Druckrohrleitung_class:
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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 = v0.copy()
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self.v = v0.copy()
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# initialize the vectors in which the minimal and maximal value of the velocity at each node are stores
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self.v_min = v0.copy()
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self.v_max = v0.copy()
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@@ -114,21 +145,19 @@ class Druckrohrleitung_class:
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self.p[0] = p_boundary_res
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self.p[-1] = p_boundary_tur
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def set_steady_state(self,ss_flux,ss_level_reservoir,area_reservoir,x_vec,h_vec):
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def set_steady_state(self,ss_flux,ss_pressure_res):
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# set the pressure and velocity distributions, that allow a constant flow of water from the (steady-state) reservoir to the (steady-state) turbine
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# the flow velocity is given by the constant flow through the pipe
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ss_v0 = np.full_like(self.x_vec,ss_flux/self.A)
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# the static pressure is given by static state pressure of the reservoir, corrected for the hydraulic head of the pipe and friction losses
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ss_v_in_res = abs(ss_flux/area_reservoir)
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ss_v_out_res = abs(ss_flux/self.A)
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ss_pressure_res = self.density*self.g*(ss_level_reservoir)+self.density*ss_v_out_res*(ss_v_in_res-ss_v_out_res)
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ss_pressure = ss_pressure_res+(self.density*self.g*h_vec)-(self.f_D*x_vec/self.dia*self.density/2*ss_v0**2)
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ss_pressure = ss_pressure_res+(self.density*self.g*self.h_vec)-(self.f_D*self.x_vec/self.dia*self.density/2*ss_v0**2)
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self.set_initial_flow_velocity(ss_v0)
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self.set_initial_pressure(ss_pressure)
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# set the initial conditions
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self.set_initial_flow_velocity(ss_v0,display_warning=False)
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self.set_initial_pressure(ss_pressure,display_warning=False)
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# getter
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# getter - return attributes
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def get_info(self):
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new_line = '\n'
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angle_deg = round(self.angle/np.pi*180,3)
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@@ -139,6 +168,7 @@ class Druckrohrleitung_class:
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f"----------------------------- {new_line}"
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f"Length = {self.length:<10} {self.length_unit_disp} {new_line}"
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f"Diameter = {self.dia:<10} {self.length_unit_disp} {new_line}"
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f"Hydraulic head = {self.head:<10} {self.length_unit_disp} {new_line}"
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f"Number of segments = {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 segments = {self.dx:<10} {self.length_unit_disp} {new_line}"
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@@ -148,17 +178,16 @@ class Druckrohrleitung_class:
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f"Density of liquid = {self.density:<10} {self.density_unit_disp} {new_line}"
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f"Pressure wave vel. = {self.c:<10} {self.velocity_unit_disp} {new_line}"
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f"Simulation timestep = {self.dt:<10} {self.time_unit_disp} {new_line}"
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f"Number of timesteps = {self.nt:<10} {new_line}"
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f"Total simulation time = {self.nt*self.dt:<10} {self.time_unit_disp} {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_current_pressure_distribution(self,disp=False):
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if disp == True:
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def get_current_pressure_distribution(self,disp_flag=False):
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# disp_flag if one wants to directly plot the return of this method
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if disp_flag == True: # convert to pressure unit disp
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return pressure_conversion(self.p,self.pressure_unit,self.pressure_unit_disp)
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elif disp == False:
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elif disp_flag == False: # stay in Pa
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return self.p
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def get_current_velocity_distribution(self):
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@@ -167,16 +196,16 @@ class Druckrohrleitung_class:
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def get_current_flux_distribution(self):
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return self.v*self.A
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def get_lowest_pressure_per_node(self,disp=False):
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if disp == True:
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def get_lowest_pressure_per_node(self,disp_flag=False):
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if disp_flag == True: # convert to pressure unit disp
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return pressure_conversion(self.p_min,self.pressure_unit,self.pressure_unit_disp)
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elif disp == False:
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elif disp_flag == False: # stay in Pa
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return self.p_min
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def get_highest_pressure_per_node(self,disp=False):
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if disp == True:
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def get_highest_pressure_per_node(self,disp_flag=False):
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if disp_flag == True: # convert to pressure unit disp
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return pressure_conversion(self.p_max,self.pressure_unit,self.pressure_unit_disp)
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elif disp == False:
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elif disp_flag == False: # stay in Pa
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return self.p_max
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def get_lowest_velocity_per_node(self):
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@@ -194,14 +223,15 @@ class Druckrohrleitung_class:
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def timestep_characteristic_method(self):
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# use the method of characteristics to calculate the pressure and velocities at all nodes except the boundary ones
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# they are set with the .set_boundary_conditions_next_timestep() method beforehand
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# they are set with the .set_boundary_conditions_next_timestep() method beforehand
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# constants for cleaner formula
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nn = self.n_seg+1 # number of nodes
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rho = self.density # density of liquid
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c = self.c # pressure propagation velocity
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f_D = self.f_D # Darcy friction coefficient
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dt = self.dt # timestep
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D = self.dia # pipeline diametet
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D = self.dia # pipeline diameter
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g = self.g # graviational acceleration
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alpha = self.angle # pipeline angle
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