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

Astrid Decoene 1 Jean-Frédéric Gerbeau 2
1 BANG - Nonlinear Analysis for Biology and Geophysical flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
2 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
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.
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Article dans une revue
International Journal for Numerical Methods in Fluids, Wiley, 2009, 59 (4), pp.357-386. 〈http://onlinelibrary.wiley.com/doi/10.1002/fld.1816/abstract〉. 〈10.1002/fld.1816〉
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https://hal.inria.fr/inria-00541170
Contributeur : Jean-Frédéric Gerbeau <>
Soumis le : mardi 30 novembre 2010 - 09:05:44
Dernière modification le : jeudi 11 janvier 2018 - 06:20:06

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Astrid Decoene, Jean-Frédéric Gerbeau. Sigma transformation and ALE formulation for three-dimensional free surface flows. International Journal for Numerical Methods in Fluids, Wiley, 2009, 59 (4), pp.357-386. 〈http://onlinelibrary.wiley.com/doi/10.1002/fld.1816/abstract〉. 〈10.1002/fld.1816〉. 〈inria-00541170〉

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