2021-04-12 15:40:17 -06:00
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{
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"cells": [
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{
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"cell_type": "markdown",
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2023-10-31 23:33:33 -07:00
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"id": "197d82b4",
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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"source": [
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"# A RBMK geometry \n",
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"This notebook can be used as a template for modeling RBMK reactors.\n",
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"\n",
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"SOURCES\n",
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"\"Fuel Assembly\": https://web.archive.org/web/20090908013425/http:/www.insc.anl.gov:80/rbmk/reactor/assembly.html\n",
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"\"Fuel with burnable absorber for RBMK-1500\", pg250-252: https://www.osti.gov/etdeweb/servlets/purl/20269236\n",
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"\"DESIGN AND FABRICATION OF NUCLEAR FUEL FOR WWER AND RBMK REACTORS\"\n",
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"Slides 8-11: indico.ictp.it/event/a04215/session/26/contribution/16/material/0/1.pdf"
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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": 1,
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2023-10-31 23:33:33 -07:00
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"id": "7b28ed9f",
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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2023-12-16 19:33:39 -08:00
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"outputs": [],
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2021-04-12 15:40:17 -06:00
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"source": [
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"%matplotlib inline\n",
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"from math import pi, sin, cos, sqrt\n",
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"import numpy as np\n",
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"import openmc"
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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": 2,
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2023-10-31 23:33:33 -07:00
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"id": "c7518256",
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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"outputs": [],
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"source": [
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"# Materials definitions\n",
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"\n",
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"fuel = openmc.Material(name='2.0% Fuel')\n",
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"fuel.add_element('U', 0.995, enrichment=2.0)\n",
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"fuel.add_element('Er', 0.005)\n",
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"fuel.add_nuclide('O16', 2.0)\n",
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"fuel.set_density('g/cm3', 10.400)\n",
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"\n",
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"zircaloy = openmc.Material(name='Zircaloy')\n",
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"zircaloy.add_element('Zr', 0.99)\n",
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"zircaloy.add_element('Nb', 0.01)\n",
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"zircaloy.set_density('g/cm3', 8.59)\n",
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"\n",
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"wall = openmc.Material(name='Carrier Rod Material')\n",
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"wall.add_element('Zr', 0.975)\n",
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"wall.add_element('Nb', 0.025)\n",
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"wall.set_density('g/cm3', 8.59)\n",
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"\n",
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"helium = openmc.Material(name='Helium')\n",
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"helium.add_element('He', 1)\n",
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"helium.set_density('g/cm3', 0.178)\n",
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"\n",
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"# Instantiate a Materials collection and export to xml\n",
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"materials_file = openmc.Materials([fuel, zircaloy, helium, wall])\n",
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"materials_file.export_to_xml()"
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]
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},
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{
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"cell_type": "code",
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2023-10-31 23:33:33 -07:00
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"execution_count": 3,
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"id": "e08264ac",
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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"outputs": [],
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"source": [
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"# Geometry definitions for the fuel rod\n",
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"\n",
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"#Making the boundary planes for the sleeves\n",
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"sleeve_min_z = openmc.ZPlane(z0=-12)\n",
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"sleeve_max_z = openmc.ZPlane(z0=+12)\n",
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"\n",
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"# Create cylinders for the fuel and clad\n",
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"fuel_inner_radius = openmc.ZCylinder(r=0.55)\n",
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"fuel_outer_radius = openmc.ZCylinder(r=0.566)\n",
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"clad_inner_radius = openmc.ZCylinder(r=0.596)\n",
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"clad_outer_radius = openmc.ZCylinder(r=0.68)\n",
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"\n",
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"# Create a universe to encapsulate a fuel rod\n",
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2023-10-31 23:33:33 -07:00
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"pin_cell_universe = openmc.Universe(name='2.0% Fuel Pin')\n",
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2021-04-12 15:40:17 -06:00
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"\n",
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"# Create fuel cell\n",
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"fuel_cell_top = openmc.Cell(name='2.0% Fuel')\n",
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"fuel_cell_top.fill = fuel\n",
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"fuel_cell_top.region = -fuel_inner_radius & +sleeve_max_z\n",
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"pin_cell_universe.add_cell(fuel_cell_top)\n",
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"\n",
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"# Create void space\n",
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"void_space_top = openmc.Cell(name='empty_space')\n",
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"void_space_top.fill = helium\n",
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"void_space_top.region = +fuel_inner_radius & -clad_inner_radius & +sleeve_max_z\n",
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"pin_cell_universe.add_cell(void_space_top)\n",
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"\n",
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"# Create a clad cell\n",
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"clad_cell_top = openmc.Cell(name='2.0% Clad')\n",
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"clad_cell_top.fill = zircaloy\n",
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"clad_cell_top.region = +clad_inner_radius & -clad_outer_radius & +sleeve_max_z\n",
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"pin_cell_universe.add_cell(clad_cell_top)\n",
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"\n",
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"# Create fuel cell\n",
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"fuel_cell_bot = openmc.Cell(name='2.0% Fuel')\n",
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"fuel_cell_bot.fill = fuel\n",
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"fuel_cell_bot.region = -fuel_inner_radius & -sleeve_min_z\n",
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"pin_cell_universe.add_cell(fuel_cell_bot)\n",
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"\n",
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"# Create void space\n",
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"void_space_bot = openmc.Cell(name='empty_space')\n",
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"void_space_bot.fill = helium\n",
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"void_space_bot.region = +fuel_inner_radius & -clad_inner_radius & -sleeve_min_z\n",
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"pin_cell_universe.add_cell(void_space_bot)\n",
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"\n",
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"# Create a clad cell\n",
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"clad_cell_bot = openmc.Cell(name='2.0% Clad')\n",
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"clad_cell_bot.fill = zircaloy\n",
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"clad_cell_bot.region = +clad_inner_radius & -clad_outer_radius & -sleeve_min_z\n",
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"pin_cell_universe.add_cell(clad_cell_bot)\n",
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"\n",
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"# Create an outside of pin cell\n",
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"moderator = openmc.Cell(name='Moderator')\n",
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"moderator.fill = helium\n",
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"moderator.region = +clad_outer_radius\n",
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"pin_cell_universe.add_cell(moderator)\n",
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"\n",
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"# Create a 'sleeve' cell that slices through the middle of the elongated element\n",
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"sleeve_cell = openmc.Cell(name='Sleeve')\n",
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"sleeve_cell.fill = helium\n",
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"sleeve_cell.region = -clad_outer_radius & +sleeve_min_z & -sleeve_max_z\n",
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"pin_cell_universe.add_cell(sleeve_cell)"
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]
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},
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{
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"cell_type": "code",
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2023-10-31 23:33:33 -07:00
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"execution_count": 4,
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"id": "0fa519b0",
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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"outputs": [],
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"source": [
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"# Geometry definitions for the fuel rod\n",
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"\n",
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2023-10-31 23:33:33 -07:00
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"rod_inner_radius = openmc.ZCylinder(r=0.75)\n",
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"rod_outer_radius = openmc.ZCylinder(r=0.7625)\n",
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"\n",
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"rod_cell_universe = openmc.Universe(name='Carrier Rod')\n",
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"\n",
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"inner_rod = openmc.Cell(name='Inner Rod')\n",
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"inner_rod.fill = helium\n",
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"inner_rod.region = -rod_inner_radius\n",
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"rod_cell_universe.add_cell(inner_rod)\n",
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"\n",
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"outer_rod = openmc.Cell(name='Outer Rod')\n",
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"outer_rod.fill = wall\n",
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"outer_rod.region = +rod_inner_radius & -rod_outer_radius\n",
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"rod_cell_universe.add_cell(outer_rod)"
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]
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},
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{
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"cell_type": "code",
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2023-10-31 23:33:33 -07:00
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"execution_count": 5,
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"id": "778d598c",
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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"outputs": [],
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"source": [
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"# Create a circular Lattice for the bundle\n",
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"\n",
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"element_min_z = openmc.ZPlane(z0=-364, boundary_type='reflective')\n",
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"element_max_z = openmc.ZPlane(z0=+364, boundary_type='reflective')\n",
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"carrier_min_z = openmc.ZPlane(z0=-400, boundary_type='reflective')\n",
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"carrier_max_z = openmc.ZPlane(z0=+600, boundary_type='reflective')\n",
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"\n",
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"circlat = openmc.Universe(name='Circular Lattice')\n",
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"\n",
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"channel = openmc.ZCylinder(r=4.5, boundary_type='reflective')\n",
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"\n",
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"channel_cell = openmc.Cell(name='Channel')\n",
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"channel_cell.fill = helium\n",
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"channel_cell.region = -channel & +rod_outer_radius & +element_min_z & -element_max_z\n",
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"\n",
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"#Calculations before finding pin placement\n",
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"r_channel = 4.0\n",
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"r_element = 0.68\n",
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"r_outer = r_channel-r_element\n",
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"\n",
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"padding = pi*r_outer/6-2*r_element\n",
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"r_inner = r_outer*cos(pi/12)-sqrt((r_element*2+padding)**2-(r_element+padding)**2)"
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]
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},
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{
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"cell_type": "code",
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2023-10-31 23:33:33 -07:00
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"execution_count": 6,
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"id": "0701a951",
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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"outputs": [],
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"source": [
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"# Add the fuel pins into the channel\n",
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"\n",
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"num_in_rings = [6, 12]\n",
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"radii = [r_inner, r_outer]\n",
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"angles = [0, pi/12]\n",
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"\n",
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"for index in range(len(num_in_rings)):\n",
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" elem_num = num_in_rings[index]\n",
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" ring_radius = radii[index]\n",
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" theta_0 = angles[index]\n",
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" theta = 2*pi/elem_num\n",
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" for element in range(elem_num):\n",
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" x = ring_radius*cos(element*theta + theta_0)\n",
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" y = ring_radius*sin(element*theta + theta_0)\n",
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"\n",
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" pin_boundary = openmc.ZCylinder(x0=x, y0=y, r=r_element)\n",
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" pin = openmc.Cell(fill=pin_cell_universe, region=-pin_boundary & +element_min_z & -element_max_z)\n",
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" pin.translation = (x,y,0)\n",
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" pin.id = (index+1)*100 + element\n",
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" channel_cell.region &= ~pin.region\n",
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" circlat.add_cell(pin)"
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]
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},
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{
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"cell_type": "code",
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2023-10-31 23:33:33 -07:00
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"execution_count": 7,
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"id": "49f9702b",
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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"outputs": [],
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"source": [
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"# Add the 3 Components of the Carrier Rod\n",
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"rod_bound = openmc.ZCylinder(r=0.7625, boundary_type='reflective')\n",
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"rod_channel_min = openmc.ZPlane(z0=-364)\n",
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"rod_channel_max = openmc.ZPlane(z0=+364)\n",
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"\n",
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"rod_above = openmc.Cell(fill=rod_cell_universe, region=-rod_bound & -carrier_max_z & +rod_channel_max)\n",
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"rod_mid = openmc.Cell(fill=rod_cell_universe, region=-rod_outer_radius & +rod_channel_min & -rod_channel_max)\n",
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"rod_below = openmc.Cell(fill=rod_cell_universe, region=-rod_bound & -rod_channel_min & +carrier_min_z)\n",
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"\n",
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"circlat.add_cell(rod_above)\n",
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"circlat.add_cell(rod_mid)\n",
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"circlat.add_cell(rod_below)\n",
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"circlat.add_cell(channel_cell)"
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]
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},
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{
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"cell_type": "code",
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2023-10-31 23:33:33 -07:00
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"execution_count": 8,
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"id": "896dbfd3",
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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"outputs": [],
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"source": [
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"geometry = openmc.Geometry(circlat)\n",
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"geometry.export_to_xml()"
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]
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},
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{
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"cell_type": "code",
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2023-10-31 23:33:33 -07:00
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"execution_count": 9,
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"id": "fd63af64",
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"<matplotlib.image.AxesImage at 0x7f1da532ea10>"
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]
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},
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"execution_count": 9,
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2021-04-12 15:40:17 -06:00
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
|
2023-10-31 23:33:33 -07:00
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"image/png": "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"text/plain": [
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"<Figure size 258.065x259.74 with 1 Axes>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"circlat.plot(width=(12, 12), basis='xy')"
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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": 10,
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"id": "5d1ed0ce",
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"metadata": {},
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"outputs": [],
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"source": [
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"# OpenMC simulation parameters\n",
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"\n",
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"batches = 100\n",
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"inactive = 10\n",
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"particles = 5000\n",
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"\n",
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"settings_file = openmc.Settings()\n",
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"settings_file.batches = batches\n",
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"settings_file.inactive = inactive\n",
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"settings_file.particles = particles\n",
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"\n",
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"bounds = [-3, -3, -2.4, 3, 3, 2.4]\n",
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"uniform_dist = openmc.stats.Box(bounds[:3], bounds[3:], only_fissionable=False) #only_fissionable != True due to lots of helium\n",
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"settings_file.source = openmc.IndependentSource(space=uniform_dist)\n",
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"\n",
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"settings_file.export_to_xml()"
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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": 11,
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"id": "3b58cced",
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"metadata": {
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"scrolled": false
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},
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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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" %%%%%%%%%%%%%%%\n",
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" %%%%%%%%%%%%%%%%%%%%%%%%\n",
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" %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n",
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" %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n",
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" %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n",
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" %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n",
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" %%%%%%%%%%%%%%%%%%%%%%%%\n",
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" %%%%%%%%%%%%%%%%%%%%%%%%\n",
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" ############### %%%%%%%%%%%%%%%%%%%%%%%%\n",
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" ################## %%%%%%%%%%%%%%%%%%%%%%%\n",
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" ################### %%%%%%%%%%%%%%%%%%%%%%%\n",
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" #################### %%%%%%%%%%%%%%%%%%%%%%\n",
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" ##################### %%%%%%%%%%%%%%%%%%%%%\n",
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" ###################### %%%%%%%%%%%%%%%%%%%%\n",
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" ####################### %%%%%%%%%%%%%%%%%%\n",
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" ####################### %%%%%%%%%%%%%%%%%\n",
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" ###################### %%%%%%%%%%%%%%%%%\n",
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" #################### %%%%%%%%%%%%%%%%%\n",
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" ################# %%%%%%%%%%%%%%%%%\n",
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" ############### %%%%%%%%%%%%%%%%\n",
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" ############ %%%%%%%%%%%%%%%\n",
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" ######## %%%%%%%%%%%%%%\n",
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" %%%%%%%%%%%\n",
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"\n",
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2023-10-31 23:33:33 -07:00
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" | The OpenMC Monte Carlo Code\n",
|
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" Copyright | 2011-2023 MIT, UChicago Argonne LLC, and contributors\n",
|
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" License | https://docs.openmc.org/en/latest/license.html\n",
|
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" Version | 0.13.3\n",
|
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" Git SHA1 | 50e39a4e20dc9e0f3d7ccf07333f6a5e6c797c8c\n",
|
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|
" Date/Time | 2023-10-31 23:03:43\n",
|
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" OpenMP Threads | 4\n",
|
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"\n",
|
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" Reading settings XML file...\n",
|
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" Reading cross sections XML file...\n",
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" Reading materials XML file...\n",
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" Reading geometry XML file...\n",
|
2023-10-31 23:33:33 -07:00
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" Reading U234 from /opt/xdata/endfb-vii.1-hdf5/neutron/U234.h5\n",
|
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" Reading U235 from /opt/xdata/endfb-vii.1-hdf5/neutron/U235.h5\n",
|
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" Reading U238 from /opt/xdata/endfb-vii.1-hdf5/neutron/U238.h5\n",
|
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" Reading U236 from /opt/xdata/endfb-vii.1-hdf5/neutron/U236.h5\n",
|
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" Reading Er162 from /opt/xdata/endfb-vii.1-hdf5/neutron/Er162.h5\n",
|
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" Reading Er164 from /opt/xdata/endfb-vii.1-hdf5/neutron/Er164.h5\n",
|
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" Reading Er166 from /opt/xdata/endfb-vii.1-hdf5/neutron/Er166.h5\n",
|
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" Reading Er167 from /opt/xdata/endfb-vii.1-hdf5/neutron/Er167.h5\n",
|
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" Reading Er168 from /opt/xdata/endfb-vii.1-hdf5/neutron/Er168.h5\n",
|
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" Reading Er170 from /opt/xdata/endfb-vii.1-hdf5/neutron/Er170.h5\n",
|
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" Reading O16 from /opt/xdata/endfb-vii.1-hdf5/neutron/O16.h5\n",
|
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" Reading Zr90 from /opt/xdata/endfb-vii.1-hdf5/neutron/Zr90.h5\n",
|
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|
" Reading Zr91 from /opt/xdata/endfb-vii.1-hdf5/neutron/Zr91.h5\n",
|
|
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|
" Reading Zr92 from /opt/xdata/endfb-vii.1-hdf5/neutron/Zr92.h5\n",
|
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" Reading Zr94 from /opt/xdata/endfb-vii.1-hdf5/neutron/Zr94.h5\n",
|
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" Reading Zr96 from /opt/xdata/endfb-vii.1-hdf5/neutron/Zr96.h5\n",
|
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|
" Reading Nb93 from /opt/xdata/endfb-vii.1-hdf5/neutron/Nb93.h5\n",
|
|
|
|
|
" Reading He3 from /opt/xdata/endfb-vii.1-hdf5/neutron/He3.h5\n",
|
|
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|
|
" Reading He4 from /opt/xdata/endfb-vii.1-hdf5/neutron/He4.h5\n",
|
|
|
|
|
" Minimum neutron data temperature: 294 K\n",
|
|
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" Maximum neutron data temperature: 294 K\n",
|
2021-04-12 15:40:17 -06:00
|
|
|
" Preparing distributed cell instances...\n",
|
2023-10-31 23:33:33 -07:00
|
|
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" Reading plot XML file...\n",
|
2021-04-12 15:40:17 -06:00
|
|
|
" Writing summary.h5 file...\n",
|
2023-10-31 23:33:33 -07:00
|
|
|
" Maximum neutron transport energy: 20000000 eV for U235\n",
|
2021-04-12 15:40:17 -06:00
|
|
|
" Initializing source particles...\n",
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"\n",
|
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" ====================> K EIGENVALUE SIMULATION <====================\n",
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|
"\n",
|
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" Bat./Gen. k Average k\n",
|
|
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|
|
" ========= ======== ====================\n",
|
2023-10-31 23:33:33 -07:00
|
|
|
" 1/1 0.36789\n",
|
|
|
|
|
" 2/1 0.42299\n",
|
|
|
|
|
" 3/1 0.41987\n",
|
|
|
|
|
" 4/1 0.42596\n",
|
|
|
|
|
" 5/1 0.41234\n",
|
|
|
|
|
" 6/1 0.42963\n",
|
|
|
|
|
" 7/1 0.42266\n",
|
|
|
|
|
" 8/1 0.42423\n",
|
|
|
|
|
" 9/1 0.42123\n",
|
|
|
|
|
" 10/1 0.43412\n",
|
|
|
|
|
" 11/1 0.41709\n",
|
|
|
|
|
" 12/1 0.42381 0.42045 +/- 0.00336\n",
|
|
|
|
|
" 13/1 0.42377 0.42156 +/- 0.00223\n",
|
|
|
|
|
" 14/1 0.43119 0.42396 +/- 0.00288\n",
|
|
|
|
|
" 15/1 0.41749 0.42267 +/- 0.00258\n",
|
|
|
|
|
" 16/1 0.42491 0.42304 +/- 0.00214\n",
|
|
|
|
|
" 17/1 0.41893 0.42245 +/- 0.00190\n",
|
|
|
|
|
" 18/1 0.41910 0.42204 +/- 0.00170\n",
|
|
|
|
|
" 19/1 0.42348 0.42220 +/- 0.00151\n",
|
|
|
|
|
" 20/1 0.42303 0.42228 +/- 0.00135\n",
|
|
|
|
|
" 21/1 0.42054 0.42212 +/- 0.00123\n",
|
|
|
|
|
" 22/1 0.42196 0.42211 +/- 0.00112\n",
|
|
|
|
|
" 23/1 0.41419 0.42150 +/- 0.00120\n",
|
|
|
|
|
" 24/1 0.41866 0.42130 +/- 0.00113\n",
|
|
|
|
|
" 25/1 0.41443 0.42084 +/- 0.00115\n",
|
|
|
|
|
" 26/1 0.41911 0.42073 +/- 0.00108\n",
|
|
|
|
|
" 27/1 0.41603 0.42045 +/- 0.00105\n",
|
|
|
|
|
" 28/1 0.42151 0.42051 +/- 0.00099\n",
|
|
|
|
|
" 29/1 0.42466 0.42073 +/- 0.00096\n",
|
|
|
|
|
" 30/1 0.42696 0.42104 +/- 0.00097\n",
|
|
|
|
|
" 31/1 0.42019 0.42100 +/- 0.00092\n",
|
|
|
|
|
" 32/1 0.41925 0.42092 +/- 0.00088\n",
|
|
|
|
|
" 33/1 0.42851 0.42125 +/- 0.00090\n",
|
|
|
|
|
" 34/1 0.41904 0.42116 +/- 0.00087\n",
|
|
|
|
|
" 35/1 0.41336 0.42085 +/- 0.00089\n",
|
|
|
|
|
" 36/1 0.40825 0.42036 +/- 0.00098\n",
|
|
|
|
|
" 37/1 0.42126 0.42040 +/- 0.00095\n",
|
|
|
|
|
" 38/1 0.41770 0.42030 +/- 0.00092\n",
|
|
|
|
|
" 39/1 0.41320 0.42006 +/- 0.00092\n",
|
|
|
|
|
" 40/1 0.42092 0.42008 +/- 0.00089\n",
|
|
|
|
|
" 41/1 0.41800 0.42002 +/- 0.00086\n",
|
|
|
|
|
" 42/1 0.41783 0.41995 +/- 0.00084\n",
|
|
|
|
|
" 43/1 0.41593 0.41983 +/- 0.00082\n",
|
|
|
|
|
" 44/1 0.41648 0.41973 +/- 0.00080\n",
|
|
|
|
|
" 45/1 0.42461 0.41987 +/- 0.00079\n",
|
|
|
|
|
" 46/1 0.42635 0.42005 +/- 0.00079\n",
|
|
|
|
|
" 47/1 0.42601 0.42021 +/- 0.00078\n",
|
|
|
|
|
" 48/1 0.42524 0.42034 +/- 0.00077\n",
|
|
|
|
|
" 49/1 0.42391 0.42043 +/- 0.00076\n",
|
|
|
|
|
" 50/1 0.42644 0.42058 +/- 0.00076\n",
|
|
|
|
|
" 51/1 0.42461 0.42068 +/- 0.00074\n",
|
|
|
|
|
" 52/1 0.41400 0.42052 +/- 0.00074\n",
|
|
|
|
|
" 53/1 0.40554 0.42017 +/- 0.00081\n",
|
|
|
|
|
" 54/1 0.41609 0.42008 +/- 0.00079\n",
|
|
|
|
|
" 55/1 0.41939 0.42007 +/- 0.00077\n",
|
|
|
|
|
" 56/1 0.42482 0.42017 +/- 0.00076\n",
|
|
|
|
|
" 57/1 0.42144 0.42020 +/- 0.00075\n",
|
|
|
|
|
" 58/1 0.42266 0.42025 +/- 0.00073\n",
|
|
|
|
|
" 59/1 0.41754 0.42019 +/- 0.00072\n",
|
|
|
|
|
" 60/1 0.41618 0.42011 +/- 0.00071\n",
|
|
|
|
|
" 61/1 0.40759 0.41987 +/- 0.00074\n",
|
|
|
|
|
" 62/1 0.42328 0.41993 +/- 0.00073\n",
|
|
|
|
|
" 63/1 0.42103 0.41995 +/- 0.00071\n",
|
|
|
|
|
" 64/1 0.42951 0.42013 +/- 0.00072\n",
|
|
|
|
|
" 65/1 0.40918 0.41993 +/- 0.00074\n",
|
|
|
|
|
" 66/1 0.41632 0.41987 +/- 0.00073\n",
|
|
|
|
|
" 67/1 0.40789 0.41966 +/- 0.00074\n",
|
|
|
|
|
" 68/1 0.41921 0.41965 +/- 0.00073\n",
|
|
|
|
|
" 69/1 0.41250 0.41953 +/- 0.00073\n",
|
|
|
|
|
" 70/1 0.41571 0.41946 +/- 0.00072\n",
|
|
|
|
|
" 71/1 0.41786 0.41944 +/- 0.00071\n",
|
|
|
|
|
" 72/1 0.41826 0.41942 +/- 0.00070\n",
|
|
|
|
|
" 73/1 0.41586 0.41936 +/- 0.00069\n",
|
|
|
|
|
" 74/1 0.41208 0.41925 +/- 0.00069\n",
|
|
|
|
|
" 75/1 0.42209 0.41929 +/- 0.00068\n",
|
|
|
|
|
" 76/1 0.41875 0.41928 +/- 0.00067\n",
|
|
|
|
|
" 77/1 0.42818 0.41942 +/- 0.00067\n",
|
|
|
|
|
" 78/1 0.42043 0.41943 +/- 0.00066\n",
|
|
|
|
|
" 79/1 0.42366 0.41949 +/- 0.00065\n",
|
|
|
|
|
" 80/1 0.41737 0.41946 +/- 0.00065\n",
|
|
|
|
|
" 81/1 0.41772 0.41944 +/- 0.00064\n",
|
|
|
|
|
" 82/1 0.42922 0.41957 +/- 0.00064\n",
|
|
|
|
|
" 83/1 0.42357 0.41963 +/- 0.00064\n",
|
|
|
|
|
" 84/1 0.41841 0.41961 +/- 0.00063\n",
|
|
|
|
|
" 85/1 0.42532 0.41969 +/- 0.00062\n",
|
|
|
|
|
" 86/1 0.42394 0.41974 +/- 0.00062\n",
|
|
|
|
|
" 87/1 0.42362 0.41979 +/- 0.00061\n",
|
|
|
|
|
" 88/1 0.42122 0.41981 +/- 0.00060\n",
|
|
|
|
|
" 89/1 0.43252 0.41997 +/- 0.00062\n",
|
|
|
|
|
" 90/1 0.40940 0.41984 +/- 0.00062\n",
|
|
|
|
|
" 91/1 0.41683 0.41980 +/- 0.00062\n",
|
|
|
|
|
" 92/1 0.41949 0.41980 +/- 0.00061\n",
|
|
|
|
|
" 93/1 0.42320 0.41984 +/- 0.00060\n",
|
|
|
|
|
" 94/1 0.42224 0.41987 +/- 0.00060\n",
|
|
|
|
|
" 95/1 0.42299 0.41991 +/- 0.00059\n",
|
|
|
|
|
" 96/1 0.42603 0.41998 +/- 0.00059\n",
|
|
|
|
|
" 97/1 0.42952 0.42009 +/- 0.00059\n",
|
|
|
|
|
" 98/1 0.41837 0.42007 +/- 0.00059\n",
|
|
|
|
|
" 99/1 0.42181 0.42009 +/- 0.00058\n",
|
|
|
|
|
" 100/1 0.41738 0.42006 +/- 0.00057\n",
|
2021-04-12 15:40:17 -06:00
|
|
|
" Creating state point statepoint.100.h5...\n",
|
|
|
|
|
"\n",
|
|
|
|
|
" =======================> TIMING STATISTICS <=======================\n",
|
|
|
|
|
"\n",
|
2023-10-31 23:33:33 -07:00
|
|
|
" Total time for initialization = 1.7313e+00 seconds\n",
|
|
|
|
|
" Reading cross sections = 1.6946e+00 seconds\n",
|
|
|
|
|
" Total time in simulation = 9.4329e+01 seconds\n",
|
|
|
|
|
" Time in transport only = 9.4246e+01 seconds\n",
|
|
|
|
|
" Time in inactive batches = 9.7179e+00 seconds\n",
|
|
|
|
|
" Time in active batches = 8.4611e+01 seconds\n",
|
|
|
|
|
" Time synchronizing fission bank = 4.2822e-02 seconds\n",
|
|
|
|
|
" Sampling source sites = 3.6681e-02 seconds\n",
|
|
|
|
|
" SEND/RECV source sites = 6.0859e-03 seconds\n",
|
|
|
|
|
" Time accumulating tallies = 6.5997e-05 seconds\n",
|
|
|
|
|
" Time writing statepoints = 3.6930e-03 seconds\n",
|
|
|
|
|
" Total time for finalization = 7.0400e-07 seconds\n",
|
|
|
|
|
" Total time elapsed = 9.6071e+01 seconds\n",
|
|
|
|
|
" Calculation Rate (inactive) = 5145.16 particles/second\n",
|
|
|
|
|
" Calculation Rate (active) = 5318.44 particles/second\n",
|
2021-04-12 15:40:17 -06:00
|
|
|
"\n",
|
|
|
|
|
" ============================> RESULTS <============================\n",
|
|
|
|
|
"\n",
|
2023-10-31 23:33:33 -07:00
|
|
|
" k-effective (Collision) = 0.41999 +/- 0.00052\n",
|
|
|
|
|
" k-effective (Track-length) = 0.42006 +/- 0.00057\n",
|
|
|
|
|
" k-effective (Absorption) = 0.41889 +/- 0.00135\n",
|
|
|
|
|
" Combined k-effective = 0.41986 +/- 0.00050\n",
|
2021-04-12 15:40:17 -06:00
|
|
|
" Leakage Fraction = 0.00000 +/- 0.00000\n",
|
|
|
|
|
"\n"
|
|
|
|
|
]
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"source": [
|
|
|
|
|
"openmc.run()"
|
|
|
|
|
]
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"metadata": {
|
|
|
|
|
"kernelspec": {
|
2023-10-31 23:33:33 -07:00
|
|
|
"display_name": "openmc-env",
|
2021-04-12 15:40:17 -06:00
|
|
|
"language": "python",
|
|
|
|
|
"name": "python3"
|
|
|
|
|
},
|
|
|
|
|
"language_info": {
|
|
|
|
|
"codemirror_mode": {
|
|
|
|
|
"name": "ipython",
|
|
|
|
|
"version": 3
|
|
|
|
|
},
|
|
|
|
|
"file_extension": ".py",
|
|
|
|
|
"mimetype": "text/x-python",
|
|
|
|
|
"name": "python",
|
|
|
|
|
"nbconvert_exporter": "python",
|
|
|
|
|
"pygments_lexer": "ipython3",
|
2023-10-31 23:33:33 -07:00
|
|
|
"version": "3.11.6"
|
2021-04-12 15:40:17 -06:00
|
|
|
}
|
|
|
|
|
},
|
|
|
|
|
"nbformat": 4,
|
2023-10-31 23:33:33 -07:00
|
|
|
"nbformat_minor": 5
|
2021-04-12 15:40:17 -06:00
|
|
|
}
|
