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Application of the UN approximation to the neutron transport equation in slab geometry

  • A. Bülbül , M. Ulutas and F. Anli
Published/Copyright: April 5, 2013
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Abstract

The critical slab problem of the one-speed and one dimensional neutron transport equation for an isotropic homogeneous medium was studied by using the Chebyshev polynomial approximation, i. e. UN method. The results obtained by the UN method for various c values, using the two type boundary conditions which are known as Mark and Marshak boundary conditions, are presented in tables. The tables also include the results obtained by the PN method for comparison.

Kurzfassung

Das Kritikalitätsproblem in der Eingruppen-Neutronentransportgleichung für isotrope homogene Medien wurde untersucht mit Hilfe der Chebyshev Approximation, d. h. der UN-Methode. Die mit der UN-Methode unter Verwendung der Mark and Marshak Randbedingungen erhaltenen Ergebnisse für verschiedene c-Werte werden in tabellarischer Form vorgestellt. Zum Vergleich beinhalten die Tabellen auch die Ergebnisse, die man mit der PN-Methode erhält.


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Received: 2007-2-13
Published Online: 2013-04-05
Published in Print: 2008-03-01

© 2008, Carl Hanser Verlag, München

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