A hybrid discontinuous finite element-spectral nodal method for slab-geometry transport problems without spatial truncation error

Conference · Sun Dec 31 00:00:00 EST 1995

OSTI ID:459216

Barros, R.C. de ^[1]

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1. Universidade do Estado do Rio de Janeiro (UERJ), Nova Friburgo (Brazil)

Described here is a hybrid discontinuous finite element-spectral nodal method for slab-geometry one-speed transport problems without spatial truncation error. For the angular approximation the author used a linear discontinuous (LD) expansion for the angular flux inside each of the N elements of a uniform angular grid. This procedure yields the LD{sub N} equations that is solved numerically using the Spectral Green`s Function (SGF) method with the one-node block inversion (NBI) iterative scheme. The SGF method generates numerical solutions for the LD{sub N} equations that are completely free from spatial approximations. Numerical results are given to illustrate the methods accuracy.

• OSTI ID: 459216
• Report Number(s): CONF-950420-; TRN: 97:007120
• Resource Relation: Conference: International conference on mathematics and computations, reactor physics, and environmental analyses, Portland, OR (United States), 30 Apr - 4 May 1995; Other Information: PBD: 1995; Related Information: Is Part Of Proceedings of the international conference on mathematics and computations, reactor physics, and environmental analyses. Volume 1 and 2; PB: 1629 p.
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
TRANSPORT THEORY
FINITE ELEMENT METHOD
NODAL EXPANSION METHOD
CALCULATION METHODS