An adaptive mesh redistribution algorithm for convection-dominated problems

Zheng-Ru Zhang; Tao Tang

doi:10.3934/cpaa.2002.1.341

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2002, Volume 1, Issue 3: 341-357. Doi: 10.3934/cpaa.2002.1.341

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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

Received: December 31, 2001

Revised: March 31, 2002

Published: August 2002

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Abstract

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.

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Mathematics Subject Classification: 65N50, 35Q35.

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