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Title: Deterministic Methods for Time-Dependent Stochastic Neutron Transport

Abstract

A numerical method is presented for solving the time-dependent survival probability equation in general (lD/2D/3D) geometries using the multi group SN method. Although this equation was first formulated by Bell in the early 1960's, it has only been applied to stationary systems (for other than idealized point models) until recently, and detailed descriptions of numerical solution techniques are lacking in the literature. This paper presents such a description and applies it to a dynamic system representative of a figurative criticality accident scenario.

Authors:
 [1]
  1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Nuclear Criticality Safety Program (NCSP)
OSTI Identifier:
956445
Report Number(s):
LA-UR-09-01057; LA-UR-09-1057
TRN: US1004066
DOE Contract Number:  
AC52-06NA25396
Resource Type:
Conference
Resource Relation:
Conference: Int. Conf. on Mathematics, Comp. Methods, & Reactor Physics (M&C 2009) , Saratoga Springs, NY (United States), 4 May 2009
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICS AND COMPUTING; 98 NUCLEAR DISARMAMENT, SAFEGUARDS, AND PHYSICAL PROTECTION; CRITICALITY; NEUTRON TRANSPORT; PROBABILITY; RADIATION ACCIDENTS; REACTOR PHYSICS; TIME DEPENDENCE; CALCULATION METHODS; Nuclear Criticality Safety Program (NCSP); Numerical Method; Multi Group SN Method; Figurative Criticality Accident Scenario; Stochastic Neutron Transport; Probability of Initiation; Survival Probability

Citation Formats

Baker, Randal S. Deterministic Methods for Time-Dependent Stochastic Neutron Transport. United States: N. p., 2009. Web.
Baker, Randal S. Deterministic Methods for Time-Dependent Stochastic Neutron Transport. United States.
Baker, Randal S. 2009. "Deterministic Methods for Time-Dependent Stochastic Neutron Transport". United States. https://www.osti.gov/servlets/purl/956445.
@article{osti_956445,
title = {Deterministic Methods for Time-Dependent Stochastic Neutron Transport},
author = {Baker, Randal S.},
abstractNote = {A numerical method is presented for solving the time-dependent survival probability equation in general (lD/2D/3D) geometries using the multi group SN method. Although this equation was first formulated by Bell in the early 1960's, it has only been applied to stationary systems (for other than idealized point models) until recently, and detailed descriptions of numerical solution techniques are lacking in the literature. This paper presents such a description and applies it to a dynamic system representative of a figurative criticality accident scenario.},
doi = {},
url = {https://www.osti.gov/biblio/956445}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon May 04 00:00:00 EDT 2009},
month = {Mon May 04 00:00:00 EDT 2009}
}

Conference:
Other availability
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