Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations

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

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.

Keywords: local discontinuous Galerkin method Burgers equation coupled Burgers equation

Received: 25 March 2011
Revised: 09 June 2011
Accepted manuscript online:

PACS:	02.70.Dh	(Finite-element and Galerkin methods)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11171038).

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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 2011 Chin. Phys. B 20 110205

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Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations

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