| Status | 已发表Published |
| Title | Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations |
| Creator | |
| Date Issued | 2022 |
| Source Publication | Communications on Applied Mathematics and Computation
 |
| ISSN | 2096-6385 |
| Volume | 4Issue:1Pages:3–33 |
| Abstract | 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. |
| Keyword | Semi-Lagrangian (SL) Transport simulations Splitting Non-splitting Comparison Discontinuous Galerkin (DG) |
| DOI | 10.1007/s42967-020-00088-0 |
| URL | View source |
| Indexed By | ESCI |
| Language | 英语English |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000749558300002 |
| Citation statistics | |
| Document Type | Journal article |
| Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/8998 |
| Collection | Research outside affiliated institution |
| Corresponding Author | Guo, Wei |
| Affiliation | 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 |
| Recommended Citation 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. |
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