Sigma transformation and ALE formulation for three-dimensional free surface flows
Résumé
In this paper we establish the link between the sigma transformation approach and the 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.
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