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#!/usr/bin/python3
import openmc
import math
import argparse
import hashlib
import sys
import time
# KRUSTY Model in OpenMC
# C.Moore, <connor.moore@psi.ch>
############ COMMAND LINE ARGUMENTS ############
cli_parser = argparse.ArgumentParser(
prog="KRUSTY Heat Pipe Study",
description="Program to investigate the reactivity effect of heat pipe saturation on the KRUSTY reactor."
)
cli_parser.add_argument("-s","--sat-height",default=5.5,type=float,help="Height of wick that is saturated with Na starting at the bottom of the heat pipe (0-45) [cm], default 25.0")
cli_parser.add_argument("-p","--pool-height",default=5.0,type=float,help="Height of Na pool starting at the bottom of the heat pipe (0-45) [cm], default 5.0")
cli_parser.add_argument("-l","--lclrs",default=False,action="store_true",help="Flag for specifying LCLRS accessible cross-sections, default false.")
cli_parser.add_argument("-r","--run",default=False,action="store_true",help="Whether or not to automatically run OpenMC, default false.")
cli_args = cli_parser.parse_args()
if cli_args.pool_height < 0.0 or cli_args.pool_height > 100.0:
sys.exit(f"Error: Invalid sodium pool height of {cli_args.pool_height} cm. Value must be between 0.0 and 100.0 inclusive.")
if cli_args.sat_height < 0.0 or cli_args.sat_height > 100.0:
sys.exit(f"Error: Invalid saturated wick height of {cli_args.sat_height} cm. Value must be between 0.0 and 100.0 inclusive.")
if cli_args.lclrs:
openmc.config["cross_sections"] = "/libs/endfb81_official/cross_sections.xml"
############ INTPUT-OUTPUT MAPPING ############
path = sys.argv[0]
with open(path, "rb") as file:
contents = file.read()
filehash = hashlib.md5(contents).hexdigest()
print("="*60)
print(f"Run date CET: {time.ctime()}")
print(f"Input file MD5: {filehash}")
print(f"Input arguments: {cli_args}")
print("="*60)
############ MATERIALS ############
mat_list = []
mat_temp_global = 900
mat_temp_fuel = 900
mat_hp_wick_porosity = 0.7
## 100 - Structural Materials ##
mat_haynes230 = openmc.Material(100,name='Structural HAYNES 230')
mat_haynes230.add_element('Ni',57,'wo')
mat_haynes230.add_element('Cr',22,'wo')
mat_haynes230.add_element('W',14,'wo')
mat_haynes230.add_element('Mo', 2,'wo')
mat_haynes230.add_element('Fe', 1.875,'wo')
mat_haynes230.add_element('Co', 3.125,'wo')
mat_haynes230.temperature = mat_temp_global
mat_haynes230.set_density('g/cm3',8.97)
mat_list.append(mat_haynes230)
mat_ss316 = openmc.Material(101,name='Structural SS316')
mat_ss316.add_element('C', 9.12187E-02+1.01457E-03, 'ao')
mat_ss316.add_nuclide('Si28', 1.10957E+00, 'ao')
mat_ss316.add_nuclide('Si29', 5.61820E-02, 'ao')
mat_ss316.add_nuclide('Si30', 3.72944E-02, 'ao')
mat_ss316.add_nuclide('Cr50', 7.94742E-01, 'ao')
mat_ss316.add_nuclide('Cr52', 1.53260E+01, 'ao')
mat_ss316.add_nuclide('Cr53', 1.73763E+00, 'ao')
mat_ss316.add_nuclide('Cr54', 4.32580E-01, 'ao')
mat_ss316.add_nuclide('Mn55', 1.77454E+00, 'ao')
mat_ss316.add_nuclide('Fe54', 4.11552E+00, 'ao')
mat_ss316.add_nuclide('Fe56', 6.39783E+01, 'ao')
mat_ss316.add_nuclide('Fe57', 1.46483E+00, 'ao')
mat_ss316.add_nuclide('Fe58', 1.95315E-01, 'ao')
mat_ss316.add_nuclide('Ni58', 5.91824E+00, 'ao')
mat_ss316.add_nuclide('Ni60', 2.26262E+00, 'ao')
mat_ss316.add_nuclide('Ni61', 9.79589E-02, 'ao')
mat_ss316.add_nuclide('Ni62', 3.11211E-01, 'ao')
mat_ss316.add_nuclide('Ni64', 7.88874E-02, 'ao')
mat_ss316.add_nuclide('Mo92', 3.21318E-02, 'ao')
mat_ss316.add_nuclide('Mo94', 2.00286E-02, 'ao')
mat_ss316.add_nuclide('Mo95', 3.44709E-02, 'ao')
mat_ss316.add_nuclide('Mo96', 3.61161E-02, 'ao')
mat_ss316.add_nuclide('Mo97', 2.06783E-02, 'ao')
mat_ss316.add_nuclide('Mo98', 5.22477E-02, 'ao')
mat_ss316.add_nuclide('Mo100', 2.08518E-02, 'ao')
mat_ss316.temperature = mat_temp_global
mat_ss316.set_density('atom/b-cm', 8.58870E-02)
mat_list.append(mat_ss316)
mat_air = openmc.Material(102,name="Core Air")
mat_air.add_nuclide('H1', 1.41615E+01, 'ao')
mat_air.add_nuclide('H2', 2.12456E-03, 'ao')
mat_air.add_element('C', 1.17053E-02+1.30189E-04, 'ao')
mat_air.add_nuclide('N14', 6.15481E+01, 'ao')
mat_air.add_nuclide('N15', 2.28569E-01, 'ao')
mat_air.add_nuclide('O16', 2.36230E+01+4.73602E-02, 'ao')
mat_air.add_nuclide('O17', 9.47204E-03, 'ao')
mat_air.add_nuclide('Ar36', 1.23939E-03, 'ao')
mat_air.add_nuclide('Ar38', 2.31686E-04, 'ao')
mat_air.add_nuclide('Ar40', 3.66299E-01, 'ao')
mat_air.temperature = mat_temp_global
mat_air.set_density('g/cm3', 0.5)
mat_list.append(mat_air)
## 200 - Core Materials ##
mat_fuel = openmc.Material(200,name='Fuel U-10Mo')
mat_fuel.add_element('C', 6.19354E-01+6.88872E-03,'ao')
mat_fuel.add_nuclide('Mo92', 2.49068E+00,'ao')
mat_fuel.add_nuclide('Mo94', 1.55250E+00,'ao')
mat_fuel.add_nuclide('Mo95', 2.67188E+00,'ao')
mat_fuel.add_nuclide('Mo96', 2.79947E+00,'ao')
mat_fuel.add_nuclide('Mo97', 1.60285E+00,'ao')
mat_fuel.add_nuclide('Mo98', 4.04995E+00,'ao')
mat_fuel.add_nuclide('Mo100', 1.61627E+00,'ao')
mat_fuel.add_nuclide('U234', 8.45363E-01,'ao')
mat_fuel.add_nuclide('U235', 7.69214E+01,'ao')
mat_fuel.add_nuclide('U236', 3.81533E-01,'ao')
mat_fuel.add_nuclide('U238', 4.44178E+00,'ao')
mat_fuel.temperature = mat_temp_fuel
mat_fuel.set_density('atom/b-cm', 4.96130E-02)
mat_list.append(mat_fuel)
mat_hp_na_vap = openmc.Material(201,name="Heat Pipe Core Sodium (Vapour)")
mat_hp_na_vap.add_element("Na",1)
mat_hp_na_vap.temperature = mat_temp_global
mat_hp_na_vap.set_density("kg/m3",1.7e-2)
mat_list.append(mat_hp_na_vap)
mat_hp_na_liq = openmc.Material(202,name="Heat Pipe Core Sodium (Liquid)")
mat_hp_na_liq.add_element("Na",1)
mat_hp_na_liq.temperature = mat_temp_global
mat_hp_na_liq.set_density("kg/m3",805)
mat_list.append(mat_hp_na_liq)
mat_hp_wick_unsat = openmc.Material.mix_materials(
material_id=203,
materials=[mat_ss316,mat_hp_na_vap],
fracs=[1-mat_hp_wick_porosity, mat_hp_wick_porosity],
percent_type="vo",
name="Heat Pipe Wick (Unsaturated)"
)
mat_list.append(mat_hp_wick_unsat)
mat_hp_wick_sat = openmc.Material.mix_materials(
material_id=204,
materials=[mat_ss316,mat_hp_na_liq],
fracs=[1-mat_hp_wick_porosity, mat_hp_wick_porosity],
percent_type="vo",
name="Heat Pipe Wick (Saturated)"
)
mat_list.append(mat_hp_wick_sat)
mat_beo = openmc.Material(205,name="BeO Reflector")
mat_beo.add_nuclide('Be9', 4.99528E+01,'ao')
mat_beo.add_nuclide('O16', 4.99042E+01+1.00046E-01,'ao')
mat_beo.add_nuclide('O17', 2.00099E-02,'ao')
mat_beo.add_nuclide('S32', 2.24316E-02,'ao')
mat_beo.add_nuclide('S33', 1.77054E-04,'ao')
mat_beo.add_nuclide('S34', 9.93896E-04,'ao')
mat_beo.add_nuclide('S36', 4.72141E-06,'ao')
mat_beo.temperature = mat_temp_global
mat_beo.set_density('atom/b-cm', 0.135648)
mat_beo.add_s_alpha_beta("c_Be_in_BeO")
mat_beo.add_s_alpha_beta("c_O_in_BeO")
mat_list.append(mat_beo)
mat_b4c = openmc.Material(206,name="B4C Control Rods")
mat_b4c.add_nuclide('B10',4,'ao')
mat_b4c.add_element('C',1,'ao')
mat_b4c.temperature = mat_temp_global
mat_b4c.set_density('g/cm3',2.52)
mat_list.append(mat_b4c)
materials = openmc.Materials(mat_list)
materials.export_to_xml()
############ GEOMETRY ############
geo_hp_pitch = 5.2
geo_z_abs_bot = openmc.ZPlane(z0=-10.16,boundary_type="vacuum")
geo_z_core_bot = openmc.ZPlane(z0=0.00)
geo_z_core_top = openmc.ZPlane(z0=25)
geo_z_abs_top = openmc.ZPlane(z0=35.16,boundary_type="vacuum")
geo_z_region = +geo_z_abs_bot & -geo_z_abs_top
geo_z_hp_sat = openmc.ZPlane(surface_id=416,z0=geo_z_abs_bot.z0 + cli_args.sat_height)
geo_z_hp_pool = openmc.ZPlane(surface_id=647,z0=geo_z_abs_bot.z0 + cli_args.pool_height)
## Heat Pipes ##
geo_hp_cyl = [openmc.ZCylinder(r=dia/2, x0=0.0, y0=0.0) for dia in [0.8920, 1.0920, 1.270]]
# Pattern around the core
geo_hp_steps = [math.pi*(theta+90)/180 for theta in range(0,360,45)]
# Define inner and outer regions
geo_hp_inner_regions = [openmc.ZCylinder(r=geo_hp_cyl[0].r,
x0=geo_hp_pitch*math.cos(theta),
y0=geo_hp_pitch*math.sin(theta)
) for theta in geo_hp_steps]
geo_hp_wick_regions = [openmc.ZCylinder(r=geo_hp_cyl[1].r,
x0=geo_hp_pitch*math.cos(theta),
y0=geo_hp_pitch*math.sin(theta)
) for theta in geo_hp_steps]
geo_hp_outer_regions = [openmc.ZCylinder(r=geo_hp_cyl[2].r,
x0=geo_hp_pitch*math.cos(theta),
y0=geo_hp_pitch*math.sin(theta)
) for theta in geo_hp_steps]
geo_hp_outer_union = openmc.Union(-reg for reg in geo_hp_outer_regions)
# Fill cells for each pipe
geo_hp_inner_liq_cells = [openmc.Cell(name=f"Heat Pipe {num} Liquid Inner Cell",region=-reg&+geo_z_abs_bot&-geo_z_hp_pool,fill=mat_hp_na_liq) for num,reg in enumerate(geo_hp_inner_regions)]
geo_hp_inner_vap_cells = [openmc.Cell(name=f"Heat Pipe {num} Vapour Inner Cell",region=-reg&+geo_z_hp_pool&-geo_z_abs_top,fill=mat_hp_na_vap) for num,reg in enumerate(geo_hp_inner_regions)]
geo_hp_wick_unsat_cells = [openmc.Cell(name=f"Heat Pipe {num} Unsaturated Wick Cell",region=-reg_out&+reg_in&+geo_z_hp_sat&-geo_z_abs_top,fill=mat_hp_wick_unsat)
for num,(reg_out,reg_in) in enumerate(zip(geo_hp_wick_regions,geo_hp_inner_regions))]
geo_hp_wick_sat_cells = [openmc.Cell(name=f"Heat Pipe {num} Saturated Wick Cell",region=-reg_out&+reg_in&-geo_z_hp_sat&+geo_z_abs_bot,fill=mat_hp_wick_sat)
for num,(reg_out,reg_in) in enumerate(zip(geo_hp_wick_regions,geo_hp_inner_regions))]
geo_hp_outer_cells = [openmc.Cell(name=f"Heat Pipe {num} Outer Cell",region=-reg_out&+reg_in&geo_z_region,fill=mat_haynes230)
for num,(reg_out,reg_in) in enumerate(zip(geo_hp_outer_regions,geo_hp_wick_regions))]
## Core Air Cylinder ##
geo_air_inner_cyl = openmc.ZCylinder(r=1.9939, x0=0.0, y0=0.0)
geo_air_inner_region = +geo_z_core_bot & -geo_z_abs_top & -geo_air_inner_cyl
geo_air_inner_cell = openmc.Cell(name="Inner Air Cell",region=geo_air_inner_region,fill=mat_air)
## Core Fuel Block ##
geo_fuel_cyl = openmc.ZCylinder(r=5.4991, x0=0.0, y0=0.0)
geo_fuel_region = +geo_z_core_bot & -geo_z_core_top & -geo_fuel_cyl & +geo_air_inner_cyl & ~geo_hp_outer_union
geo_fuel_cell = openmc.Cell(name="Core Fuel Cell",region=geo_fuel_region,fill=mat_fuel)
## BeO Reflectors ##
# Lower Reflector
geo_refl_lower_region = +geo_z_abs_bot & -geo_z_core_bot & -geo_fuel_cyl & ~geo_hp_outer_union
geo_refl_lower_cell = openmc.Cell(name="Lower BeO Reflector Cell",region=geo_refl_lower_region,fill=mat_beo)
# Upper Reflector
geo_refl_upper_region = +geo_z_core_top & -geo_z_abs_top & +geo_air_inner_cyl & -geo_fuel_cyl & ~geo_hp_outer_union
geo_refl_upper_cell = openmc.Cell(name="Upper BeO Reflector Cell",region=geo_refl_upper_region,fill=mat_beo)
## Radial Core Surroundings ##
geo_rad_cyl = [openmc.ZCylinder(r=dia/2, x0=0.0, y0=0.0) for dia in [12.70, 13.30, 14.11, 38.40]]
geo_rad_cyl[-1].boundary_type="vacuum"
geo_rad_cells = [openmc.Cell(name="Intermediate Air Cell",region=+geo_fuel_cyl&-geo_rad_cyl[0]&geo_z_region&~geo_hp_outer_union,fill=mat_air),
openmc.Cell(name="Steel Annulus Cell",region=+geo_rad_cyl[0]&-geo_rad_cyl[1]&geo_z_region,fill=mat_ss316),
openmc.Cell(name="Outer Air Cell",region=+geo_rad_cyl[1]&-geo_rad_cyl[2]&geo_z_region,fill=mat_air),
openmc.Cell(name="Outer BeO Reflector Cell",region=+geo_rad_cyl[2]&-geo_rad_cyl[3]&geo_z_region,fill=mat_beo)]
geo_root_universe = openmc.Universe(name="Root Universe",cells=[geo_fuel_cell,geo_air_inner_cell,geo_refl_upper_cell,geo_refl_lower_cell]+geo_rad_cells+geo_hp_inner_liq_cells+geo_hp_inner_vap_cells+geo_hp_wick_unsat_cells+geo_hp_wick_sat_cells+geo_hp_outer_cells)
geo_obj = openmc.Geometry(geo_root_universe)
geo_obj.export_to_xml()
## Settings ##
set_obj = openmc.Settings()
set_obj.particles = 20000
set_obj.batches = 4500
set_obj.inactive = 500
set_obj.temperature = {"method": "interpolation"}
set_src = openmc.IndependentSource()
set_src.space = openmc.stats.Point((0.0,0.0,30.0))
set_src.space = openmc.stats.CylindricalIndependent(
r = openmc.stats.Uniform(geo_air_inner_cyl.r,geo_fuel_cyl.r),
z = openmc.stats.Uniform(geo_z_core_bot.z0,geo_z_core_top.z0),
phi = openmc.stats.Uniform(0.0,2*math.pi),
origin = (0.0,0.0,0.0)
)
#set_obj.verbosity=10
set_obj.export_to_xml()
# Run!
openmc.run() if cli_args.run else None
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