Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations

doi:10.1007/s42967-020-00088-0

科研成果详情

发表状态	已发表Published
题名	Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations
作者	Cai, Xiaofeng1 ; Guo, Wei 2; Qiu, Jing-Mei 1
发表日期	2022
发表期刊	Communications on Applied Mathematics and Computation
ISSN/eISSN	2096-6385
卷号	4 期号:1 页码:3–33
摘要	Transport problems arise across diverse fields of science and engineering. Semi-Lagrangian (SL) discontinuous Galerkin (DG) methods are a class of high-order deterministic transport solvers that enjoy advantages of both the SL approach and the DG spatial discretization. In this paper, we review existing SLDG methods to date and compare numerically their performance. In particular, we make a comparison between the splitting and non-splitting SLDG methods for multi-dimensional transport simulations. Through extensive numerical results, we offer a practical guide for choosing optimal SLDG solvers for linear and nonlinear transport simulations.
关键词	Semi-Lagrangian (SL) Transport simulations Splitting Non-splitting Comparison Discontinuous Galerkin (DG)
DOI	10.1007/s42967-020-00088-0
URL	查看来源
收录类别	ESCI
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000749558300002
引用统计	被引频次：5[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/8998
专题	个人在本单位外知识产出
通讯作者	Guo, Wei
作者单位	1.Department of Mathematical Sciences, University of Delaware, Newark, DE, 19716, USA 2.Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX, 70409, USA
推荐引用方式 GB/T 7714	Cai, Xiaofeng,Guo, Wei,Qiu, Jing-Mei. Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations[J]. Communications on Applied Mathematics and Computation, 2022, 4(1): 3–33.
APA	Cai, Xiaofeng, Guo, Wei, & Qiu, Jing-Mei. (2022). Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations. Communications on Applied Mathematics and Computation, 4(1), 3–33.
MLA	Cai, Xiaofeng,et al."Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations". Communications on Applied Mathematics and Computation 4.1(2022): 3–33.