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

[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.

[发布日期] 2016-10-01

[效力级别]  Proceedings Paper

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