期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 456, 期 -, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2022.111040
关键词
Moment models; Minimum entropy; Kinetic transport equation; Continuous Galerkin; Discontinuous Galerkin; Realizability
This paper presents a second-order realizability-preserving scheme for moment models of linear kinetic equations. The scheme is applied to a variety of continuous and discontinuous models in different geometries, and it is shown that the new models can achieve competitive or even better performance than the classical full-moment models in reasonable test cases.
We derive a second-order realizability-preserving scheme for moment models for linear kinetic equations. We apply this scheme to the first-order continuous (HFMn) and discontinuous (PMMn) models in slab and three-dimensional geometry derived in [55] as well as the classical full-moment MN models. We provide extensive numerical analysis as well as our code to show that the new class of models can compete or even outperform the full-moment models in reasonable test cases. (C)& nbsp;2022 Elsevier Inc. All rights reserved.& nbsp;
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