A hybrid method for the solution of linear Boltzmann equation

Paolo Picca, Roberto Furfaro

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

This paper presents a novel approach devised to solve the transport of neutral particles in scattering and absorbing media. The solution to the linear Boltzmann equation is sought starting from a multi-collision approach of the integro-differential equation which is combined with an approximate model for the description of the residue after truncation of the Neumann series. In the paper, the theoretical basis of such hybrid method is discussed together with the physical intuition at the basis of the methodology. Results for both steady-state and transient problems are presented and an extension to general multi-dimensional, anisotropic problem is reported.

Original languageEnglish (US)
Pages (from-to)214-236
Number of pages23
JournalAnnals of Nuclear Energy
Volume72
DOIs
StatePublished - Oct 2014

Keywords

  • Diffusion
  • Hybrid method
  • Linear Boltzmann equation
  • Multi-collisions
  • Neumann series

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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