Nonlinear discontinuous finite element transport solutions in the thick diffusion limit in Cartesian coordinates

Journal Article · Thu Dec 31 04:00:00 EST 1998 · Transactions of the American Nuclear Society

OSTI ID:298308

Castrianni, C L ^[1]; Adams, M L ^[2]; Mills, M

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1. Lawrence Livermore National Lab., CA (United States)
2. Texas A and M Univ., College Station, TX (United States)

Radiative transfer problems of practical interest often contain regions that are extremely optically thick and highly diffusive. In multidimensional problems, memory and CPU limitations force the use of spatial cells that are themselves very optically thick. The authors therefore wish to study the performance of numerical transport methods in highly diffusive regions with optically thick spatial cells. Moreover, given the recent advances in highly accurate nonlinear spatial discretizations, they wish to include, if not emphasize, these in their analysis. They discuss a diffusion limit analysis of the family of linear and nonlinear discontinuous finite element methods (DFEMs) on grids of arbitrary polyhedra.

• OSTI ID: 298308
• Report Number(s): CONF-981106--
• Journal Information: Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 79; ISSN TANSAO; ISSN 0003-018X
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
BOUNDARY CONDITIONS
FINITE ELEMENT METHOD
NONLINEAR PROBLEMS
PERFORMANCE
RADIANT HEAT TRANSFER
WEIGHTING FUNCTIONS