Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations

doi:10.1088/1674-1056/20/11/110205

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110205-110205.doi: 10.1088/1674-1056/20/11/110205

Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations

蔚喜军¹, 赵国忠¹, 张荣培²

(1)Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; (2)School of Sciences, Liaoning ShiHua University, Fushun 113001, China

收稿日期:2011-03-25 修回日期:2011-06-09 出版日期:2011-11-15 发布日期:2011-11-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11171038).

Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations

Zhang Rong-Pei(张荣培)^a)†, Yu Xi-Jun(蔚喜军)^b), and Zhao Guo-Zhong(赵国忠)^b)

^a School of Sciences, Liaoning ShiHua University, Fushun 113001, China; ^bLaboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2011-03-25 Revised:2011-06-09 Online:2011-11-15 Published:2011-11-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11171038).

摘要/Abstract

摘要： In the current work, we extend the local discontinuous Galerkin method to a more general application system. The Burgers and coupled Burgers equations are solved by the local discontinuous Galerkin method. Numerical experiments are given to verify the efficiency and accuracy of our method. Moreover the numerical results show that the method can approximate sharp fronts accurately with minimal oscillation.

关键词: local discontinuous Galerkin method, Burgers equation, coupled Burgers equation

Abstract: In the current work, we extend the local discontinuous Galerkin method to a more general application system. The Burgers and coupled Burgers equations are solved by the local discontinuous Galerkin method. Numerical experiments are given to verify the efficiency and accuracy of our method. Moreover the numerical results show that the method can approximate sharp fronts accurately with minimal oscillation.

Key words: local discontinuous Galerkin method, Burgers equation, coupled Burgers equation

中图分类号: (Finite-element and Galerkin methods)

02.70.Dh

05.45.Pq (Numerical simulations of chaotic systems)

张荣培, 蔚喜军, 赵国忠. Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations[J]. 中国物理B, 2011, 20(11): 110205-110205.

Zhang Rong-Pei(张荣培), Yu Xi-Jun(蔚喜军), and Zhao Guo-Zhong(赵国忠) . Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations[J]. Chin. Phys. B, 2011, 20(11): 110205-110205.

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Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations

Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations

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