A∞ and AN formulations of the linear transport equation in heterogeneous media. (January 2016)

• Record Type: Journal Article
• Authors: Coppa, G.
• Is Part Of: Annals of nuclear energy. Volume 87:Part 2(2016:Jan.)
• Page Start: 630
• Page End: 636
• Publication Date: 2016-01
• Subjects: Linear transport theory -- Heterogeneous media -- Second order formulation; Nuclear energy -- Periodicals; Nuclear engineering -- Periodicals; 621.4805
• DOI: 10.1016/j.anucene.2015.10.016
• Languages: English
• ISSNs: 0306-4549

Abstract

Highlights: A new formulation of the A ∞ method for heterogeneous media is proposed. The kernel of transport equation is approximated as a sum of pure exponential terms. The transport problem is reduced to coupled equations for homogeneous media. Four approximations are proposed and the relative equations are presented in detail. Abstract: The aim of the paper is to provide a contribution for the extension to heterogeneous media of the A ∞ and A N 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.