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The singular eigenfunction method: the critical slab problem for linearly anisotropic scattering

Methode der singulären Eigenfunktion: das kritische Plattenproblem für linear anisotrope Streuung
  • R. G. Türeci , M. Ç. Güleçyüz , A. Kaşkaş and C. Tezcan
From the journal Kerntechnik

Abstract

The critical slab problem for linearly anisotropic scattering is investigated using the singular eigenfunction method. The third form of the transport equation is considered. The singular eigenfunctions for linearly anisotropic scattering are inserted into the Green's function. This Green's function with the full range orthogonality relations of the singular eigenfunctions together with the appropriate boundary conditions provide the criticality equation. This equation is exact and leads as shown in tables to fast converging numerical results.

Kurzfassung

Das kritische Plattenproblem für linear anisotrope Streuung wird untersucht mit Hilfe der Methode der singulären Eigenfunktion. Dazu wird die dritte Form der Transportgleichung betrachtet. Die singulären Eigenfunktionen für linear anisotrope Streuung werden in die Green's Funktion eingesetzt. Diese Green's Funktion mit dem vollen Satz der Orthogonalitätsbeziehungen der singulären Eigenfunktionen zusammen mit den geeigneten Randbedingungen liefern die Kritikalitätsgleichung. Diese Gleichung ist genau und führt, wie dies in den Tabellen gezeigt wird zu schnell konvergierenden numerischen Ergebnissen.


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Received: 2005-1-17
Published Online: 2013-05-06
Published in Print: 2005-08-01

© 2005, Carl Hanser Verlag, München

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