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September  2002, 1(3): 341-357. doi: 10.3934/cpaa.2002.1.341

An adaptive mesh redistribution algorithm for convection-dominated problems

Zheng-Ru Zhang 1, and  Tao Tang 1,

1. 

Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong, Hong Kong

Received  January 2002 Revised  April 2002 Published  June 2002

Convection-dominated problems are of practical applications and in general may require extremely fine meshes over a small portion of the physical domain. In this work an efficient adaptive mesh redistribution (AMR) algorithm will be developed for solving one- and two-dimensional convection-dominated problems. Several test problems are computed by using the proposed algorithm. The adaptive mesh results are compared with those obtained with uniform meshes to demonstrate the effectiveness and robustness of the proposed algorithm.
Keywords: finite volume method, Adaptive mesh redistribution, convectiondominated..
Mathematics Subject Classification: 65N50, 35Q3.
Citation: Zheng-Ru Zhang, Tao Tang. An adaptive mesh redistribution algorithm for convection-dominated problems. Communications on Pure & Applied Analysis, 2002, 1 (3) : 341-357. doi: 10.3934/cpaa.2002.1.341
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