Variational formulation of a higher order nodal diffusion method

Journal Article · Sun Jul 01 04:00:00 EDT 1990 · Nuclear Science and Engineering; (United States)

OSTI ID:6121360

Altiparmakov, D U; Tomasevic, D ^[1]

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1. Boris Kidric Inst. of Nuclear Sciences, Nuclear Engineering Lab., P.O. Box 522, 11001 Belgrade (YU)

A higher order nodal diffusion method is formulated, based on variational principle Kantorovich's variational method, and the patch test. In this paper, the relationship between finite element and nodal methods is discussed and the differences are pointed out. General, transverse integrated quasi-one-dimensional nodal equations are derived and matrix representation is given. In addition, a comparison with a similar approach is shown. A numerical solution is carried out using polynomial expansion of the source term and the corresponding analytic solution in alternating directions. It is shown that the first-order approximation yields the same order of accuracy as the standard nodal. methods with quadratic leakage approximation, while the second-order approximation is considerably better.

• OSTI ID: 6121360
• Journal Information: Nuclear Science and Engineering; (United States), Journal Name: Nuclear Science and Engineering; (United States) Vol. 105:3; ISSN 0029-5639; ISSN NSENA
• Country of Publication: United States
• Language: English

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