updated to use outflux_vel instead of outflux
This commit is contained in:
Brantegger Georg
@@ -2,7 +2,7 @@
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 8,
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"execution_count": 56,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -16,7 +16,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"execution_count": 57,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -32,14 +32,14 @@
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"A_pipe = D**2/4*np.pi # pipeline area\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 = 10 # number of pipe segments in discretization\n",
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"n = 50 # number of pipe segments in discretization\n",
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"# consider replacing Q0 with a vector be be more flexible in initial conditions\n",
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"Q0 = 2. # initial flow in whole pipe [m³/s]\n",
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"v0 = Q0/A_pipe # initial flow velocity [m/s]\n",
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"f_D = 0.1 # Darcy friction factor\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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"# consider prescribing a total simulation time and deducting the number of timesteps from that\n",
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"nt = 100 # number of time steps after initial conditions\n",
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"nt = 500 # number of time steps after initial conditions\n",
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"\n",
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"# derivatives of the pipeline constants\n",
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"dx = L/n # length of each pipe segment\n",
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@@ -60,7 +60,7 @@
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"initial_outflux = Q0 # initial outflux of volume from the reservoir to the pipeline [m³/s]\n",
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"initial_pipeline_pressure = p0 # Initial condition for the static pipeline pressure at the reservoir (= hydrostatic pressure - dynamic pressure) \n",
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"initial_pressure_unit = 'Pa' # DO NOT CHANGE! for pressure conversion in print statements and plot labels \n",
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"conversion_pressure_unit = 'mWS' # for pressure conversion in print statements and plot labels\n",
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"conversion_pressure_unit = 'bar' # for pressure conversion in print statements and plot labels\n",
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"area_base = 20. # total base are of the cuboid reservoir [m²] \n",
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"area_outflux = A_pipe # outlfux area of the reservoir, given by pipeline area [m²]\n",
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"critical_level_low = 0. # for yet-to-be-implemented warnings[m]\n",
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@@ -91,7 +91,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"execution_count": 58,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -116,7 +116,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"execution_count": 59,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -144,8 +144,8 @@
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"v_boundary_tur[0] = v_old[-1] \n",
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"v_boundary_tur[1:] = 0 # instantaneous closing\n",
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"# v_boundary_tur[0:20] = np.linspace(v_old[-1],0,20) # overwrite for finite closing time - linear case\n",
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"const = int(np.min([100,round(nt/1.1)]))\n",
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"v_boundary_tur[0:const] = v_old[1]*np.cos(t_vec[0:const]*2*np.pi/5)**2\n",
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"# const = int(np.min([100,round(nt/1.1)]))\n",
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"# v_boundary_tur[0:const] = v_old[1]*np.cos(t_vec[0:const]*2*np.pi/5)**2\n",
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"p_boundary_res[0] = p_old[0]\n",
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"p_boundary_tur[0] = p_old[-1]\n",
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"\n"
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@@ -153,7 +153,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"execution_count": 60,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -186,7 +186,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"execution_count": 61,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -196,7 +196,7 @@
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"# for each pipeline timestep, execute nt_eRK4 timesteps of the reservoir code\n",
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" # set initial conditions for the reservoir time evolution calculted with e-RK4\n",
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" V.pressure = p_old[0]\n",
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" V.outflux = v_old[0]\n",
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" V.outflux_vel = v_old[0]\n",
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" # calculate the time evolution of the reservoir level within each pipeline timestep to avoid runaway numerical error\n",
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" for it_res in range(nt_eRK4):\n",
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" V.e_RK_4() # call e-RK4 to update outflux\n",
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@@ -209,7 +209,7 @@
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" level_vec[it_pipe] = V.level \n",
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"\n",
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" # set boundary conditions for the next timestep of the characteristic method\n",
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" p_boundary_res[it_pipe] = rho*g*V.level-v_old[1]**2*rho/2\n",
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" p_boundary_res[it_pipe] = rho*g*V.level-V.outflux_vel**2*rho/2\n",
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" v_boundary_res[it_pipe] = v_old[1]+1/(rho*c)*(p_boundary_res[it_pipe]-p_old[1])-f_D*dt/(2*D)*abs(v_old[1])*v_old[1] \\\n",
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" +dt*g*np.sin(alpha)\n",
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"\n",
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@@ -245,7 +245,7 @@
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"execution_count": 62,
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -280,7 +280,7 @@
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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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@@ -299,7 +299,7 @@
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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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