Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

被引：19

作者：

Zhu, Jun ^{[2
]}

Qiu, Jianxian ^{[1
,3
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Jiangsu, Peoples R China

[3] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2012年 / 11卷 / 03期

关键词：

Runge-Kutta discontinuous Galerkin method; limiter; WENO; HWENO; high order limiting procedure; FINITE-ELEMENT-METHOD; ESSENTIALLY NONOSCILLATORY SCHEMES; CONSERVATION-LAWS; EFFICIENT IMPLEMENTATION;

D O I：

10.4208/cicp.300810.240511a

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper further considers weighted essentially non-oscillatory (WENO) and Hermite weighted essentially non-oscillatory (HWENO) finite volume methods as limiters for Runge-Kutta discontinuous Galerkin (RKDG) methods to solve problems involving nonlinear hyperbolic conservation laws. The application discussed here is the solution of 3-D problems on unstructured meshes. Our numerical tests again demonstrate this is a robust and high order limiting procedure, which simultaneously achieves high order accuracy and sharp non-oscillatory shock transitions.

引用

页码：985 / 1005

页数：21

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