skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quadratic Finite Element Method for 1D Deterministic Transport

Abstract

In the discrete ordinates, or SN, numerical solution of the transport equation, both the spatial ({und r}) and angular ({und {Omega}}) dependences on the angular flux {psi}{und r},{und {Omega}}are modeled discretely. While significant effort has been devoted toward improving the spatial discretization of the angular flux, we focus on improving the angular discretization of {psi}{und r},{und {Omega}}. Specifically, we employ a Petrov-Galerkin quadratic finite element approximation for the differencing of the angular variable ({mu}) in developing the one-dimensional (1D) spherical geometry S{sub N} equations. We develop an algorithm that shows faster convergence with angular resolution than conventional S{sub N} algorithms.

Authors:
;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
15013672
Report Number(s):
UCRL-CONF-201715
TRN: US0801236
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Conference
Resource Relation:
Conference: Presented at: 2004 American Nuclear Society Annual Meeting, Pittsburgh, PA, United States, Jun 13 - Jun 17, 2004
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 22 GENERAL STUDIES OF NUCLEAR REACTORS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ALGORITHMS; APPROXIMATIONS; CONVERGENCE; DISCRETE ORDINATE METHOD; FINITE ELEMENT METHOD; GEOMETRY; NUMERICAL SOLUTION; RESOLUTION; TRANSPORT

Citation Formats

Tolar, Jr., D R, and Ferguson, J M. Quadratic Finite Element Method for 1D Deterministic Transport. United States: N. p., 2004. Web.
Tolar, Jr., D R, & Ferguson, J M. Quadratic Finite Element Method for 1D Deterministic Transport. United States.
Tolar, Jr., D R, and Ferguson, J M. Tue . "Quadratic Finite Element Method for 1D Deterministic Transport". United States. https://www.osti.gov/servlets/purl/15013672.
@article{osti_15013672,
title = {Quadratic Finite Element Method for 1D Deterministic Transport},
author = {Tolar, Jr., D R and Ferguson, J M},
abstractNote = {In the discrete ordinates, or SN, numerical solution of the transport equation, both the spatial ({und r}) and angular ({und {Omega}}) dependences on the angular flux {psi}{und r},{und {Omega}}are modeled discretely. While significant effort has been devoted toward improving the spatial discretization of the angular flux, we focus on improving the angular discretization of {psi}{und r},{und {Omega}}. Specifically, we employ a Petrov-Galerkin quadratic finite element approximation for the differencing of the angular variable ({mu}) in developing the one-dimensional (1D) spherical geometry S{sub N} equations. We develop an algorithm that shows faster convergence with angular resolution than conventional S{sub N} algorithms.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Jan 06 00:00:00 EST 2004},
month = {Tue Jan 06 00:00:00 EST 2004}
}

Conference:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save / Share: