Multigroup particle transport in a moving material
type: Item
instance of: scholarly article
title: Multigroup particle transport in a moving material
zbMATH Open document ID: 0654.65093
DOI: 10.1016/0021-9991(87)90077-5
author: T. R. Hill
author: Bruce R. Wienke
author: Paul P. Whalen
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: The linear Boltzmann equation is formulated against a moving material background in both Eulerian and Lagrangian representations. One- dimensional slab and spherical geometries and two-dimensional cylindrical geometry are treated. Material acceleration terms are expanded locally, effective cross sections and moving sources are defined, and the continuity equation is coupled to the transport equation in a consistent manner. Relative importances of material motion terms ar discussed and a simple approximation to the material acceleration term is suggested. Standard multigroup representations for the material motion terms are obtained and an iteration strategy used to solve the transport equation is reviewed. Specific applications are presented and contrasted.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 4068229
zbMATH Keywords: multigroup particle transport
zbMATH Keywords: iterative method
zbMATH Keywords: linear Boltzmann equation
zbMATH Keywords: moving material
zbMATH Keywords: multigroup representations
zbMATH Keywords: transport equation
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90077-5
OpenAlex ID: W1992095567
cites work: Transport equation in modified Eulerian coordinates
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description: scientific article; zbMATH DE number 4068229