A comparison of moment closures for linear kinetic transport equations: The line source benchmark

C. Kristopher Garrett; Cory D. Hauck

doi:10.1080/00411450.2014.910226

A comparison of moment closures for linear kinetic transport equations: The line source benchmark

C. Kristopher Garrett, Cory D. Hauck

Multiscale Methods

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48 Scopus citations

Abstract

We discuss several moment closure models for linear kinetic equations that have been developed over the past few years as alternatives to classical spectral and collocation methods. We then present numerical simulation results for a challenging benchmark problem known as the line source and observe the relative strengths and weaknesses of each closure. The results should prove useful for application scientists in making decisions about which methods are best suited to a given problem. They also provide a guide to help numerical experts who are interested in developing new, improved methods.

Original language	English
Pages (from-to)	203-235
Number of pages	33
Journal	Journal of Computational and Theoretical Transport
Volume	42
Issue number	6-7
DOIs	https://doi.org/10.1080/00411450.2014.910226
State	Published - Sep 2013

Funding

This research was sponsored by the Office of Advanced Scientific Computing Research at the U.S. Department of Energy. The Oak Ridge National Laboratory is operated by UT-Battelle, LLC, for the US Department of Energy under Contract DE-AC05-00OR22725.

Funders	Funder number
U.S. Department of Energy
U.S. Department of Energy	DE-AC05-00OR22725
Advanced Scientific Computing Research
Oak Ridge National Laboratory

Keywords

Entropy
Filtering
Kinetic equations
Moment closures

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10.1080/00411450.2014.910226

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A comparison of moment closures for linear kinetic transport equations: The line source benchmark

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