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Title: A Photon Free Method to Solve Radiation Transport Equations

Abstract

The multi-group discrete-ordinate equations of radiation transfer is solved for the first time by Newton's method. It is a photon free method because the photon variables are eliminated from the radiation equations to yield a N{sub group}XN{sub direction} smaller but equivalent system of equations. The smaller set of equations can be solved more efficiently than the original set of equations. Newton's method is more stable than the Semi-implicit Linear method currently used by conventional radiation codes.

Authors:
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
894002
Report Number(s):
UCRL-CONF-224189
TRN: US0700021
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Conference
Resource Relation:
Conference: Presented at: Grannlibakken Transport Workshop, Tahoe, CA, United States, Sep 09 - Sep 16, 2006
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; PHOTONS; RADIATION TRANSPORT; RADIATIONS; TRANSPORT

Citation Formats

Chang, B. A Photon Free Method to Solve Radiation Transport Equations. United States: N. p., 2006. Web.
Chang, B. A Photon Free Method to Solve Radiation Transport Equations. United States.
Chang, B. 2006. "A Photon Free Method to Solve Radiation Transport Equations". United States. https://www.osti.gov/servlets/purl/894002.
@article{osti_894002,
title = {A Photon Free Method to Solve Radiation Transport Equations},
author = {Chang, B},
abstractNote = {The multi-group discrete-ordinate equations of radiation transfer is solved for the first time by Newton's method. It is a photon free method because the photon variables are eliminated from the radiation equations to yield a N{sub group}XN{sub direction} smaller but equivalent system of equations. The smaller set of equations can be solved more efficiently than the original set of equations. Newton's method is more stable than the Semi-implicit Linear method currently used by conventional radiation codes.},
doi = {},
url = {https://www.osti.gov/biblio/894002}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Sep 05 00:00:00 EDT 2006},
month = {Tue Sep 05 00:00:00 EDT 2006}
}

Conference:
Other availability
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