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Sigma transformation and ALE formulation for three-dimensional free surface flows

✍ Scribed by A. Decoene; J. F. Gerbeau

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 688 KB
Volume: 59
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.1816

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✦ Synopsis

Abstract

In this paper we establish a link between the sigma transformation approach and the arbitrary Lagrangian–Eulerian (ALE) approach. For that purpose we introduce the ALE‐sigma (ALES) approach, which consists in an ALE interpretation of the sigma transformation. Taking advantage of this new approach, we propose a general ALES transformation, allowing for a great adaptability of the vertical discretization and therefore overcoming some drawbacks of the classical sigma transformation. Numerical results are presented, showing the advantages of this general coordinate system, as, for example, a better representation of horizontal stratifications. Copyright © 2008 John Wiley & Sons, Ltd.

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