Kershaw closures for linear transport equations in slab geometry II: High-order realizability-preserving discontinuous-Galerkin schemes

JOURNAL OF COMPUTATIONAL PHYSICS

卷:322

Article; Proceedings Paper

Schneider, Florian¹ 

[1] TU Kaiserslautern, Fachbereich Math, Erwin Schrodinger Str, D-67663 Kaiserslautern, Germany

关键词: Moment models;    Minimum entropy;    Kershaw closures;    Kinetic transport equation;    Realizability-preserving;    Discontinuous-Galerkin scheme;   

DOI  :  10.1016/j.jcp.2016.07.014

来源: Elsevier

【 摘 要 】

This paper provides a generalization of the realizability-preserving discontinuous-Galerkin scheme given in [3] to general full-moment models that can be closed analytically. It is applied to the class of Kershaw closures, which are able to provide a cheap closure of the moment problem. This results in an efficient algorithm for the underlying linear transport equation. The efficiency of high-order methods is demonstrated using numerical convergence tests and non-smooth benchmark problems. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free