Archivio Istituzionale della RicercaThe aim of the paper is to provide a contribution for the extension to heterogeneous media of the A1 and AN formulations for the linear transport equation. A new approach is proposed, in which the exponential of the optical length is decomposed in a sum of pure exponential terms, as in a homogeneous medium; in this way, a set of coupled diffusion-like equations is obtained. Different approximations are presented and their validity is discussed.
A∞ and AN formulations of the linear transport equation in heterogeneous media / Coppa, Gianni. - In: ANNALS OF NUCLEAR ENERGY. - ISSN 0306-4549. - STAMPA. - 87:(2016), pp. 630-636. [10.1016/j.anucene.2015.10.016]
A∞ and AN formulations of the linear transport equation in heterogeneous media
COPPA, Gianni
2016
Abstract
The aim of the paper is to provide a contribution for the extension to heterogeneous media of the A1 and AN formulations for the linear transport equation. A new approach is proposed, in which the exponential of the optical length is decomposed in a sum of pure exponential terms, as in a homogeneous medium; in this way, a set of coupled diffusion-like equations is obtained. Different approximations are presented and their validity is discussed.
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https://hdl.handle.net/11583/2638112
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