A numerical method for resonance integral calculations

T. Tanbay; B. Ozgener

doi:10.3139/124.110292

Article

A numerical method for resonance integral calculations

T. Tanbay and B. Ozgener

Published/Copyright: September 9, 2013

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From the journal Kerntechnik Volume 78 Issue 3

Abstract

A numerical method has been proposed for resonance integral calculations and a cubic fit based on least squares approximation to compute the optimum Bell factor is given. The numerical method is based on the discretization of the neutron slowing down equation. The scattering integral is approximated by taking into account the location of the upper limit in energy domain. The accuracy of the method has been tested by performing computations of resonance integrals for uranium dioxide isolated rods and comparing the results with empirical values.

Kurzfassung

Eine numerische Methode zur Berechnung von Resonanzintegralen und eine kubische Anpassung auf der Basis der Methode der kleinsten Quadrate wird vorgeschlagen, um den optimalen Bell-Faktor zu berechnen. Die numerische Methode basiert auf der Diskretisierung der Neutronen-Abbremsgleichungen. Das Streuintegral wird angenähert durch Berücksichtigung des Ortes der oberen Grenze des Energiebereichs. Die Genauigkeit der Methode wurde überprüft mit Hilfe der Berechnung von Resonanzintegralen für einzelne Urandioxid-Brennstäbe und dem Vergleich der Ergebnisse mit empirischen Werten.

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Received: 2012-8-16

Published Online: 2013-09-09

Published in Print: 2013-06-28

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https://doi.org/10.3139/124.110292