Preprint 2003-031

A Moving Mesh Method for the Euler Flow Calculations Using a Directional Monitor Function

Abstract: This paper continues a study of the adaptive grid method proposed recently by Tang and Tang (2003, SIAM J. Numer. Anal. 41, 487-515) for computations of the Euler equations in fluid dynamics. The new feature of the present moving mesh algorithm is the use of a dimensional-splitting type monitor function, which is to increase grid concentration in regions containing shock waves and contact discontinuities or their interactions. Several two-dimensional flow problems are computed to demonstrate the effectiveness of the present adaptive grid algorithm.

Paper:

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Author(s):

Huazhong Tang, <hztang@math.pku.edu.cn>

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Submitted by:

<Huazhong.Tang@mathematik.uni-magdeburg.de> May 16 2003.