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

Astrid Decoene 1 Jean-Frédéric Gerbeau 2
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 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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00275463
Contributor : Decoene Astrid <>
Submitted on : Friday, April 25, 2008 - 1:05:32 PM
Last modification on : Wednesday, December 9, 2020 - 3:12:11 PM
Long-term archiving on: : Friday, May 28, 2010 - 5:26:54 PM

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  • HAL Id : hal-00275463, version 1

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Astrid Decoene, Jean-Frédéric Gerbeau. Sigma transformation and ALE formulation for three-dimensional free surface flows. 2008. ⟨hal-00275463⟩

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