A Piecewise Linear Discontinuous Finite Element Spatial Discretization of the Transport Equation in 2D Cylindrical Geometry

Conference · Wed Oct 01 00:00:00 EDT 2008

OSTI ID:952424

Bailey, T S; Adams, M L; Chang, J H

We present a new spatial discretization of the discrete-ordinates transport equation in two-dimensional cylindrical (RZ) geometry for arbitrary polygonal meshes. This discretization is a discontinuous finite element method that utilizes the piecewise linear basis functions developed by Stone and Adams. We describe an asymptotic analysis that shows this method to be accurate for many problems in the thick diffusion limit on arbitrary polygons, allowing this method to be applied to radiative transfer problems with these types of meshes. We also present numerical results for multiple problems on quadrilateral grids and compare these results to the well-known bi-linear discontinuous finite element method.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 952424
• Report Number(s): LLNL-CONF-407632; TRN: US0902487
• Resource Relation: Conference: Presented at: 2009 International Conference on Advances in Mathematics, Computational Methods, and Reactor Physics, Saratoga Springs, NY, United States, May 03 - May 07, 2009
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUMM MECHANICS
GENERAL PHYSICS
DIFFUSION
DISCRETE ORDINATE METHOD
FINITE ELEMENT METHOD
GEOMETRY
RADIANT HEAT TRANSFER
REACTOR PHYSICS
TRANSPORT