期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 316, 期 -, 页码 598-613出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2016.04.030
关键词
High order schemes; Time-dependent convection-dominated; partial differential equations; Finite difference schemes; Finite volume schemes; Discontinuous Galerkin method; Bound-preserving limiters; WENO limiters; Inverse Lax-Wendroff boundary treatments
资金
- AFOSR grant [F49550-12-1-0399]
- ARO grant [W911NF-15-1-0226]
- DOE grant [DE-FG02-08ER25863]
- NSF grant [DMS-1418750]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1418750] Funding Source: National Science Foundation
- U.S. Department of Energy (DOE) [DE-FG02-08ER25863] Funding Source: U.S. Department of Energy (DOE)
For solving time-dependent convection-dominated partial differential equations (PDEs), which arise frequently in computational physics, high order numerical methods, including finite difference, finite volume, finite element and spectral methods, have been undergoing rapid developments over the past decades. In this article we give a brief survey of two selected classes of high order methods, namely the weighted essentially non-oscillatory (WENO) finite difference and finite volume schemes and discontinuous Galerkin (DG) finite element methods, emphasizing several of their recent developments: bound-preserving limiters for DG, finite volume and finite difference schemes, which address issues in robustness and accuracy; WENO limiters for DG methods, which address issues in non-oscillatory performance when there are strong shocks, and inverse Lax-Wendroff type boundary treatments for finite difference schemes, which address issues in solving complex geometry problems using Cartesian meshes. (C) 2016 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据