Modified Burgers equation by local discontinuous Galerkin method

doi:10.1088/1674-1056/22/3/030210

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30210-030210.doi: 10.1088/1674-1056/22/3/030210

Modified Burgers equation by local discontinuous Galerkin method

张荣培^a, 蔚喜军^b, 赵国忠^c

a School of Sciences, Liaoning ShiHua University, Fushun 113001, China;
b Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
c Faculty of Mathematics, Baotou Normal College, Baotou 014030, China

收稿日期:2012-08-30 修回日期:2012-09-18 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11261035, 11171038, and 10771019), the Science Research Foundation of Institute of Higher Education of Inner Mongolia Autonomous Region, China (Grant No. NJZZ12198), and the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2012MS0102).

Modified Burgers equation by local discontinuous Galerkin method

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

a School of Sciences, Liaoning ShiHua University, Fushun 113001, China;
b Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
c Faculty of Mathematics, Baotou Normal College, Baotou 014030, China

Received:2012-08-30 Revised:2012-09-18 Online:2013-02-01 Published:2013-02-01
Contact: Zhang Rong-Pei E-mail:rongpeizhang@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11261035, 11171038, and 10771019), the Science Research Foundation of Institute of Higher Education of Inner Mongolia Autonomous Region, China (Grant No. NJZZ12198), and the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2012MS0102).

摘要/Abstract

摘要： In this paper, we present the local discontinuous Galerkin method for solving Burgers’ equation and the modified Burgers’ equation. We describe the algorithm formulation and practical implementation of the local discontinuous Galerkin method in detail. The method is applied to the solution of the one-dimensional viscous Burgers’ equation and two forms of the modified Burgers’ equation. The numerical results indicate that the method is very accurate and efficient.

关键词: local discontinuous Galerkin method, Burgers equation, modified Burgers&rsquo, equation

Abstract: In this paper, we present the local discontinuous Galerkin method for solving Burgers’ equation and the modified Burgers’ equation. We describe the algorithm formulation and practical implementation of the local discontinuous Galerkin method in detail. The method is applied to the solution of the one-dimensional viscous Burgers’ equation and two forms of the modified Burgers’ equation. The numerical results indicate that the method is very accurate and efficient.

Key words: local discontinuous Galerkin method, Burgers equation, modified Burgers&rsquo, equation

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

02.70.Dh

52.35.-g (Waves, oscillations, and instabilities in plasmas and intense beams)

张荣培, 蔚喜军, 赵国忠. Modified Burgers equation by local discontinuous Galerkin method[J]. 中国物理B, 2013, 22(3): 30210-030210.

Zhang Rong-Pei (张荣培), Yu Xi-Jun (蔚喜军), Zhao Guo-Zhong (赵国忠). Modified Burgers equation by local discontinuous Galerkin method[J]. Chin. Phys. B, 2013, 22(3): 30210-030210.

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Modified Burgers equation by local discontinuous Galerkin method

Modified Burgers equation by local discontinuous Galerkin method

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