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

被引：5

作者：

Cai, Xiaofeng ^{[1
]}

Guo, Wei ^{[2
]}

Qiu, Jing-Mei ^{[1
]}

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

[2] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA

来源：

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 4卷 / 01期

关键词：

Semi-Lagrangian (SL); Discontinuous Galerkin (DG); Transport simulations; Splitting; Non-splitting; Comparison; INCOMPRESSIBLE EULER EQUATIONS; ADAPTIVE RKDG METHOD; NUMERICAL RESOLUTION; VLASOV; ADVECTION; STABILIZATION; PRESERVATION; PERFORMANCE; MODEL;

D O I：

10.1007/s42967-020-00088-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：3 / 33

页数：31

共 60 条

[1] A critical comparison of Eulerian-grid-based Vlasov solvers [J].