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Title: Discrete Ordinates Approximations to the First- and Second-Order Radiation Transport Equations

Abstract

The conventional discrete ordinates approximation to the Boltzmann transport equation can be described in a matrix form. Specifically, the within-group scattering integral can be represented by three components: a moment-to-discrete matrix, a scattering cross-section matrix and a discrete-to-moment matrix. Using and extending these entities, we derive and summarize the matrix representations of the second-order transport equations.

Authors:
; ;
Publication Date:
Research Org.:
Sandia National Labs., Albuquerque, NM (US); Sandia National Labs., Livermore, CA (US)
Sponsoring Org.:
US Department of Energy (US)
OSTI Identifier:
800996
Report Number(s):
SAND2002-1880
TRN: US0206081
DOE Contract Number:  
AC04-94AL85000
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 1 Jun 2002
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BOLTZMANN EQUATION; DISCRETE ORDINATE METHOD; RADIATION TRANSPORT; SCATTERING; TRANSPORT THEORY; MOMENTS METHOD

Citation Formats

FAN, WESLEY C, DRUMM, CLIFTON R, and POWELL, JENNIFER L. Discrete Ordinates Approximations to the First- and Second-Order Radiation Transport Equations. United States: N. p., 2002. Web. doi:10.2172/800996.
FAN, WESLEY C, DRUMM, CLIFTON R, & POWELL, JENNIFER L. Discrete Ordinates Approximations to the First- and Second-Order Radiation Transport Equations. United States. doi:10.2172/800996.
FAN, WESLEY C, DRUMM, CLIFTON R, and POWELL, JENNIFER L. Sat . "Discrete Ordinates Approximations to the First- and Second-Order Radiation Transport Equations". United States. doi:10.2172/800996. https://www.osti.gov/servlets/purl/800996.
@article{osti_800996,
title = {Discrete Ordinates Approximations to the First- and Second-Order Radiation Transport Equations},
author = {FAN, WESLEY C and DRUMM, CLIFTON R and POWELL, JENNIFER L},
abstractNote = {The conventional discrete ordinates approximation to the Boltzmann transport equation can be described in a matrix form. Specifically, the within-group scattering integral can be represented by three components: a moment-to-discrete matrix, a scattering cross-section matrix and a discrete-to-moment matrix. Using and extending these entities, we derive and summarize the matrix representations of the second-order transport equations.},
doi = {10.2172/800996},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Jun 01 00:00:00 EDT 2002},
month = {Sat Jun 01 00:00:00 EDT 2002}
}

Technical Report:

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