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

Published online by Cambridge University Press:  20 August 2015

Jun Zhu  and
Jianxian Qiu
Jun Zhu*
Affiliation:
College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, P.R. China
Jianxian Qiu*
Affiliation:
School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, P.R. China and Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, P.R. China
*
Corresponding author.Email:jxqiu@xmu.edu.cn, jxqiu@nju.edu.cn
Email:zhujun@nuaa.edu.cn
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Abstract

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.

Keywords

65M0665M9935L65Runge-Kutta discontinuous Galerkin methodlimiterWENOHWENOhigh order limiting procedure

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 3 , March 2012 , pp. 985 - 1005
Copyright
Copyright © Global Science Press Limited 2012

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