probably working combined code :D
This commit is contained in:
Brantegger Georg
@@ -116,14 +116,14 @@ class Druckrohrleitung_class:
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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 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 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"Length per segments = {self.dx:<10} {self.length_unit_print} {new_line}"
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f"Pipeline angle = {round(self.angle,3):<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"Simulation timestep = {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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@@ -2,12 +2,11 @@
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 52,
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"execution_count": 13,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"from numpy import sin, arcsin\n",
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"from Druckrohrleitung_class_file import Druckrohrleitung_class\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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@@ -22,7 +21,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 53,
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"execution_count": 14,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -40,8 +39,8 @@
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"nt = 100 # 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]\n",
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"h_pipe = 1e-5 # hydraulic head without reservoir [m] \n",
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"alpha = arcsin(h_pipe/L) # Höhenwinkel der Druckrohrleitung \n",
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"h_pipe = 200 # hydraulic head without reservoir [m] \n",
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"alpha = np.arcsin(h_pipe/L) # Höhenwinkel der Druckrohrleitung \n",
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"\n",
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"\n",
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"# preparing the discretization and initial conditions\n",
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@@ -79,7 +78,7 @@
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" p_new[0] = p_init[0] # 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)*(p_init[0]-p_old[1])+dt*g*sin(alpha)-f_D*dt/(2*D)*abs(v_old[1])*v_old[1]\n",
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" v_new[0] = v_old[1]+1/(rho*c)*(p_init[0]-p_old[1])+dt*g*np.sin(alpha)-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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@@ -87,7 +86,7 @@
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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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" +dt*g*sin(alpha)-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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" +dt*g*np.sin(alpha)-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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@@ -109,11 +108,11 @@
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},
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{
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"cell_type": "code",
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"execution_count": 54,
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"execution_count": 15,
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"metadata": {},
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"outputs": [],
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"source": [
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"pipe = Druckrohrleitung_class(L,D,n,0,f_D)\n",
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"pipe = Druckrohrleitung_class(L,D,n,alpha,f_D)\n",
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"\n",
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"pipe.set_pressure_propagation_velocity(c)\n",
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"pipe.set_number_of_timesteps(nt)\n",
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@@ -134,12 +133,12 @@
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"axs2[0].set_title('Pressure distribution in pipeline')\n",
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"axs2[1].set_title('Velocity distribution in pipeline')\n",
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"axs2[0].set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
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"axs2[0].set_ylabel(r'$p$ [Pa]')\n",
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"axs2[0].set_ylabel(r'$p$ [mWS]')\n",
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"axs2[1].set_xlabel(r'$x$ [$\\mathrm{m}$]')\n",
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"axs2[1].set_ylabel(r'$p$ [Pa]')\n",
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"lo_00, = axs2[0].plot(pl_vec,pressure_conversion(pipe.p_old,'Pa','mWs')[0],marker='.')\n",
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"axs2[1].set_ylabel(r'$p$ [mWS]')\n",
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"lo_00, = axs2[0].plot(pl_vec,pressure_conversion(pipe.p_old,'Pa','mWS')[0],marker='.')\n",
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"lo_01, = axs2[1].plot(pl_vec,pipe.v_old,marker='.')\n",
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"axs2[0].set_ylim([-5*np.max(pressure_conversion(pipe.p_old,'Pa','mWs')[0]),5*np.max(pressure_conversion(pipe.p_old,'Pa','mWs')[0])])\n",
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"axs2[0].set_ylim([-2*np.max(pressure_conversion(p_init,'Pa','mWS')[0]),2*np.max(pressure_conversion(p_init,'Pa','mWS')[0])])\n",
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"axs2[1].set_ylim([-2*np.max(v_init),2*np.max(v_init)])\n",
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"fig2.tight_layout()\n",
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"\n",
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@@ -147,7 +146,7 @@
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"for it in range(1,pipe.nt):\n",
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" pipe.set_boundary_conditions_next_timestep(v_0[it],p_0[it],v_np1[it])\n",
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" pipe.timestep_characteristic_method()\n",
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" lo_00.set_ydata(pipe.p)\n",
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" lo_00.set_ydata(pressure_conversion(pipe.p,'Pa','mWS')[0])\n",
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" lo_01.set_ydata(pipe.v)\n",
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"\n",
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" # store parameters of node 0 (at reservoir)\n",
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@@ -165,35 +164,52 @@
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},
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{
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"cell_type": "code",
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"execution_count": 55,
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"execution_count": 16,
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"metadata": {},
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"outputs": [],
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"source": [
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"fig3,axs3 = plt.subplots(2,2)\n",
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"axs3[0,0].plot(t_vec,pipe.p_0)\n",
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"axs3[0,0].plot(t_vec,pressure_conversion(pipe.p_0,'Pa','mWS')[0])\n",
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"axs3[0,1].plot(t_vec,pipe.v_0)\n",
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"axs3[1,0].plot(t_vec,pipe.p_np1)\n",
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"axs3[1,0].plot(t_vec,pressure_conversion(pipe.p_np1,'Pa','mWS')[0])\n",
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"axs3[1,1].plot(t_vec,pipe.v_np1)\n",
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"axs3[0,0].set_title('Pressure Reservoir')\n",
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"axs3[0,1].set_title('Velocity Reservoir')\n",
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"axs3[1,0].set_title('Pressure Turbine')\n",
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"axs3[1,1].set_title('Velocity Turbine')\n",
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"axs3[0,0].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
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"axs3[0,0].set_ylabel(r'$p$ [Pa]')\n",
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"axs3[0,0].set_ylabel(r'$p$ [mWS]')\n",
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"axs3[0,1].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
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"axs3[0,1].set_ylabel(r'$v$ [$\\mathrm{m}/\\mathrm{s}$]')\n",
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"axs3[1,0].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
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"axs3[1,0].set_ylabel(r'$p$ [Pa]')\n",
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"axs3[1,0].set_ylabel(r'$p$ [mWS]')\n",
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"axs3[1,1].set_xlabel(r'$t$ [$\\mathrm{s}$]')\n",
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"axs3[1,1].set_ylabel(r'$v$ [$\\mathrm{m}/\\mathrm{s}$]')\n",
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"fig3.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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"cell_type": "code",
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"execution_count": 17,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"0.29590621205048523\n"
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]
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}
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],
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"source": [
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"print(np.mean(v_0))"
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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 ('DT_Slot_3')",
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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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@@ -212,7 +228,7 @@
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"orig_nbformat": 4,
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"vscode": {
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"interpreter": {
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"hash": "4a28055eb8a3160fa4c7e4fca69770c4e0a1add985300856aa3fcf4ce32a2c48"
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"hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd"
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}
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}
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},
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