Quadratic Finite Element Method for 1D Deterministic Transport

Conference · Tue Jan 06 00:00:00 EST 2004

OSTI ID:15013672

Ferguson, J M

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.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 15013672
• Report Number(s): UCRL-CONF-201715; TRN: US0801236
• 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

Related Subjects

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