working on a fix for steady state Ausgleichsbecken

This commit is contained in:
Brantegger Georg
2022-07-27 16:02:39 +02:00
parent 176fa556ff
commit 03ff67e0ad
4 changed files with 121 additions and 46 deletions

View File

@@ -21,7 +21,7 @@ def FODE_function(x,h,A,A_a,p,rho,g):
# A ... Reservoir_Area
# g ... gravitational acceleration
# rho ... density of the liquid in the reservoir
f = x*abs(x)/h*(A_a/A-1.5)+g-p/(rho*h)
f = x*abs(x)/h*(A_a/A-1.)+g-p/(rho*h)
return f

View File

@@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
@@ -21,32 +21,64 @@
},
{
"cell_type": "code",
"execution_count": 2,
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"L = 1000.\n",
"n = 10000 # number of pipe segments in discretization\n",
"c = 400. \n",
"dx = L/n # length of each pipe segment\n",
"dt = dx/c \n",
"\n",
"# define constants\n",
"initial_level = 10. # m\n",
"initial_influx = 5. # m³/s\n",
"# initial_outflux = 1. # m³/s\n",
"# initial_pipeline_pressure = 10.\n",
"# initial_pressure_unit = 'mWS'\n",
"initial_level = 10.1 # m\n",
"initial_influx = 0.8 # m³/s\n",
"conversion_pressure_unit = 'mWS'\n",
"\n",
"area_base = 1. # m²\n",
"area_outflux = 0.5 # m²\n",
"area_base = 75. # m²\n",
"area_outflux = (0.9/2)**2*np.pi # m²\n",
"critical_level_low = 0. # m\n",
"critical_level_high = 10. # m\n",
"simulation_timestep = 0.001 # s\n",
"simulation_timestep = dt # s\n",
"\n",
"# for while loop\n",
"total_min_level = 0.01 # m\n",
"total_max_time = 1000 # s"
"total_max_time = 1000 # s\n",
"\n",
"nt = int(total_max_time//simulation_timestep)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# # define constants\n",
"# initial_level = 10.1 # m\n",
"# initial_influx = 5. # m³/s\n",
"# # initial_outflux = 1. # m³/s\n",
"# # initial_pipeline_pressure = 10.\n",
"# # initial_pressure_unit = 'mWS'\n",
"# conversion_pressure_unit = 'mWS'\n",
"\n",
"# area_base = 1. # m²\n",
"# area_outflux = 0.5 # m²\n",
"# critical_level_low = 0. # m\n",
"# critical_level_high = 10. # m\n",
"# simulation_timestep = 0.0005 # s\n",
"\n",
"# # for while loop\n",
"# total_min_level = 0.01 # m\n",
"# total_max_time = 1000 # s\n",
"\n",
"# nt = int(total_max_time//simulation_timestep)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
@@ -60,22 +92,25 @@
"# V.pressure = converted_pressure\n",
"V.set_steady_state(initial_influx,initial_level,conversion_pressure_unit)\n",
"\n",
"time_vec = np.arange(0,total_max_time,simulation_timestep)\n",
"outflux_vec = np.empty_like(time_vec)\n",
"time_vec = np.arange(0,nt+1,1)*simulation_timestep\n",
"outflux_vec = np.zeros_like(time_vec)\n",
"outflux_vec[0] = V.get_current_outflux()\n",
"level_vec = np.empty_like(time_vec)\n",
"level_vec = np.zeros_like(time_vec)\n",
"level_vec[0] = V.get_current_level()\n",
"pressure_vec = np.zeros_like(time_vec)\n",
"pressure_vec[0] = V.get_current_pressure()\n",
"\n",
"# pressure_vec = np.full_like(time_vec,converted_pressure)*((np.sin(time_vec)+1)*np.exp(-time_vec/50))\n",
"pressure_vec = np.full_like(time_vec,V.get_current_pressure())\n",
" \n",
"i_max = -1\n",
"\n",
"for i in range(np.size(time_vec)-1):\n",
" V.set_pressure(pressure_vec[i])\n",
"for i in range(1,nt+1):\n",
" V.set_pressure(pressure_vec[i-1])\n",
" V.set_outflux(outflux_vec[i-1])\n",
" V.timestep_reservoir_evolution()\n",
" outflux_vec[i+1] = V.get_current_outflux()\n",
" level_vec[i+1] = V.get_current_level()\n",
" outflux_vec[i] = V.get_current_outflux()\n",
" level_vec[i] = V.get_current_level()\n",
" pressure_vec[i] = V.get_current_pressure()\n",
" if V.level < total_min_level:\n",
" i_max = i\n",
" break\n",
@@ -84,7 +119,7 @@
},
{
"cell_type": "code",
"execution_count": 7,
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
@@ -111,6 +146,26 @@
"\n",
"fig1.tight_layout() "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"19.987523898552976"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"V.get_current_level()"
]
}
],
"metadata": {