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Deterministic calculation of grey Dancoff factors in cluster cells with cylindrical outer boundaries

  • L. Jenisch Rodrigues , S. Q. Bogado Leite and M. T. de Vilhena
Published/Copyright: April 5, 2013
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Abstract

In the present work, the WIMSD code routine PIJM is modified to compute deterministic Dancoff factors by the collision probability definition in general arrangements of partially absorbing fuel rods. Collision probabilities are calculated by an efficient integration scheme of the third-order Bickley functions, which considers each cell region separately. The effectiveness of the method is assessed by comparing grey Dancoff factors as calculated by PIJM, with those available in the literature by the Monte Carlo method, for the irregular geometry of the Canadian CANDU and CANFLEX assemblies. Dancoff factors at several different fuel pin positions are found in very good agreement with the literature results.

Kurzfassung

In dem vorliegenden Beitrag wird die WIMSD Code Routine PIJM modifiziert zur Berechnung deterministischer Dancoff-Faktoren durch Bestimmung der Stoßwahrscheinlichkeiten bei üblicher Anordnung von teilabsorbierenden Brennstäben. Die Stoßwahrscheinlichkeiten werden mit einem effizienten Integrationsschema von Bickley-Funktionen dritter Ordnung berechnet, wobei jedes Zellgebiet getrennt betrachtet wird. Die Effektivität dieser Methode wird für die irreguläre Geometrie kanadischer CANDU und CANFLEX Anlagen bewertet durch Vergleich der mit Hilfe der PIJM-Routine berechneten „grauen“ Dancoff-Faktoren mit den in der Literatur verfügbaren Werten nach der Monte-Carlo-Methode. Die Dancoff-Faktoren befinden sich bei einer Reihe verschiedener Brennstabpositionen in sehr guter Übereinstimmung mit den Werten aus der Literatur.


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References

1 Dancoff, S. M.; Ginsburg, M.: Surface Resonance Absorption in Close Packed Lattices. Manhattan Project Report CP-2157 (1944)Search in Google Scholar

2 Carlvik, I.: The Dancoff Correction in Square and Hexagonal Lattices. Nucl. Sci. Eng.29 (1967) 325Search in Google Scholar

3 Halsall, M. J.: A Summary of WIMSD4 Input Options. AEEW – M1327 (1980).Search in Google Scholar

4 Bogado Leite, S. Q.; Zabadal, J. R. S.; Vilhena, M. T.: Improved Dancoff Factors for Fuel Bundles by WIMSD Code. Kerntechnik69 (2004) 79Search in Google Scholar

5 Féher, S.; Hoogenboom, J. E.; Leege, P. F. A.; Valkó, J.: Monte Carlo Calculation of Dancoff Factors in Irregular Geometries. Nucl. Sci. Eng.177 (1994) 227Search in Google Scholar

6 Kim, H. H.; Cho, N. Z.: Criticality Calculation for Cluster Fuel Bundles using Grey Dancoff factor. Ann. Nucl. Energy26 (1999) 803Search in Google Scholar

7 Bogado Leite, S. Q.: Improvements in Calculating Collision Probabilities in Cluster Geometry. Kerntechnik65 (2000) 245Search in Google Scholar

8 Anderson, D. W.: The WIMS ‘E’ Module W-PIJ: A Two-Dimensional Collision Probability Code with General Boundary Conditions. AEEW – R862 (1973)Search in Google Scholar

9 Beardwood, J. E.; Clayton, A. J.; Pull, I. C.: The Solution of the Transport Equation by Collision Probability Methods. ANL7050 (1965)Search in Google Scholar

10 Blair, J. M.; Edwards, C. A.; Johnson, J. H.: Rational Chebyshev Approximations for the Bickley Functions Kin(x). Math. Comput.32 (1978) 876Search in Google Scholar

11 Kim, H. H.; Cho, N. Z.: Private communication.Search in Google Scholar

12 Varley, J., Ed.: Fuel Review 1996: Fuel Designs (AECL/AEC/CNEA). Nucl. Eng. Intl.41 (506) (1996) 20Search in Google Scholar

13 Bogado Leite, S. Q.; Zabadal, J. R. S.; Vilhena, M. T.: Fatores de Dancoff em Geometria Cluster pelo Método de Monte Carlo e Comparações com o Método Direto. Rev. Bras. Pesq. Des.6 (2004) 122Search in Google Scholar

Received: 2008-3-13
Published Online: 2013-04-05
Published in Print: 2008-09-01

© 2008, Carl Hanser Verlag, München

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