Large-amplitude internal solitary waves in a two-fluid model

Philippe Guyenne

doi:10.1016/j.crme.2006.05.001

Large-amplitude internal solitary waves in a two-fluid model
[Ondes solitaires internes de grande amplitude dans un modèle à deux fluides]

Présenté par : Gérard Iooss

Philippe Guyenne ¹

¹ Department of Mathematical Sciences, 501 Ewing Hall, University of Delaware, Newark, DE 19716-2553, USA

Comptes Rendus. Mécanique, Volume 334 (2006) no. 6, pp. 341-346.

Résumé
Abstract

Nous calculons numériquement des solutions en ondes solitaires d'un modèle hamiltonien décrivant les ondes internes longues de grande amplitude dans un milieu stratifié à deux couches. Ces solutions numériques sont calculées pour des valeurs de rapports de densité et de profondeur proches des conditions océaniques, et sont comparées avec les solutions de modèles faiblement et pleinement non-linéaires. Les résultats montrent que le modèle reproduit bien les caractéristiques des ondes solitaires fortement non-linéaires telles que le phénomène d'élargissement.

We compute solitary wave solutions of a Hamiltonian model for large-amplitude long internal waves in a two-layer stratification. Computations are performed for values of the density and depth ratios close to oceanic conditions, and comparisons are made with solutions of both weakly and fully nonlinear models. It is shown that characteristic features of highly nonlinear solitary waves such as broadening are reproduced well by the present model.

Reçu le : 2006-04-10
Accepté le : 2006-04-25
Publié le : 2006-06-01

DOI : 10.1016/j.crme.2006.05.001

Keywords: Fluid mechanics, Internal waves, Solitary waves, Hamiltonian systems
Mots-clés : Mécanique des fluides, Ondes internes, Ondes solitaires, Systèmes hamiltoniens

Affiliations des auteurs :

Philippe Guyenne ¹

¹ Department of Mathematical Sciences, 501 Ewing Hall, University of Delaware, Newark, DE 19716-2553, USA

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Philippe Guyenne. Large-amplitude internal solitary waves in a two-fluid model. Comptes Rendus. Mécanique, Volume 334 (2006) no. 6, pp. 341-346. doi : 10.1016/j.crme.2006.05.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.05.001/

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