Development of iteration strategies for a practical implementation of a higher order transverse leakage approximation

Conference · Sun Jul 01 04:00:00 EDT 2012

OSTI ID:22105585

Prinsloo, R. H.; Tomasevic, D. I. ^[1]

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1. Necsa, PO Box 582, Pretoria, 0001 (South Africa)

Transverse integrated nodal diffusion methods currently represent the standard in full core neutronic simulation. The primary shortcoming in this approach is the utilization of the quadratic transverse leakage approximation. This approach, although proven to work well for typical LWR problems, is not consistent with the formulation of nodal methods and can cause accuracy and convergence problems. In previous work, an improved, consistent quadratic leakage approximation was formulated, which derived from the class of higher order nodal methods developed some years ago. In this paper a number of iteration schemes are developed around this consistent quadratic leakage approximation which yield accurate node average results in much improved calculational times. The developed consistent leakage approximation is extended in this work via a number of numerical schemes, the most promising of which results from utilizing the consistent leakage approximation as a correction method to the standard quadratic leakage approximation. Numerical results are demonstrated on a set of benchmark problems, such as the 3D IAEA LWR and MOX C5 problems. (authors)

• Research Organization: American Nuclear Society, Inc., 555 N. Kensington Avenue, La Grange Park, Illinois 60526 (United States)
• OSTI ID: 22105585
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
97 MATHEMATICS AND COMPUTING
APPROXIMATIONS
CONVERGENCE
FUEL ELEMENTS
IMPLEMENTATION
ITERATIVE METHODS
LEAKS
ORGANIC NITROGEN COMPOUNDS
SIMULATION
THREE-DIMENSIONAL CALCULATIONS
WATER COOLED REACTORS