Prise en compte des effets non linéaires de surface libre en écoulement instationnaire

Alain Rebeyrotte; Malick Ba; Michel Guilbaud

doi:10.1016/j.crme.2004.10.002

Prise en compte des effets non linéaires de surface libre en écoulement instationnaire
[Calculations of unsteady flow with non linear effects of the free surface]

Presented by: Sébastien Candel

Alain Rebeyrotte ¹; Malick Ba ¹; Michel Guilbaud ²

¹ LEA (UMR CNRS 6609), ENSMA, 1, rue Clément Ader, BP 40109, 86960 Futuroscope Chasseneuil cedex, France
² LEA (UMR CNRS 6609), CEAT, université de Poitiers, 43, rue de l'Aérodrome, 86036 Poitiers cedex, France

Comptes Rendus. Mécanique, Volume 333 (2005) no. 2, pp. 163-170.

Abstract
Résumé

This Note describes a computational method for three dimensional unsteady flows around a submerged body with forward speed. The two free-surface boundary conditions are written under their non linear form. The calculations are carried out in the time domain using a mixed Euler–Lagrange scheme based on the knowledge, at each time step, of the potential on the free surface and of the location of this surface. A mixed problem with a Neumann condition on the body and a Dirichlet one on the free surface is then solved. The panel method uses desingularized sources to represent free surface effects. Validations are carried out on steady flows.

On présente une méthode de calculs de l'écoulement tridimensionnel instationnaire autour d'un obstacle immergé avec vitesse d'avance par une méthode de singularités. Les deux conditions de surface libre sont utilisées sous leurs formes non-linéaires. On utilise une modélisation dans le domaine temporel par une méthode mixte Euler–Lagrange reposant sur la connaissance, à chaque pas de temps, du potentiel sur la surface libre et de sa position. On résout alors un problème mixte, avec une condition de Neumann sur le corps et de Dirichlet sur la surface libre. On utilise une technique des sources désingularisées. La méthode est validée sur des exemples stationnaires.

Received: 2003-10-10
Accepted: 2004-09-21
Published online: 2004-11-20

DOI: 10.1016/j.crme.2004.10.002

Mots-clés : Mécanique des fluides numérique, Hydrodynamique, Conditions de surface libre non linéaires, Forces, Champ de vagues, Domaine temporel, Instationnaire
Keywords: Computational fluid mechanics, Hydrodynamics, Non linear free surface effects, Forces, Wave pattern, Time domain, Unsteady

Author's affiliations:

Alain Rebeyrotte ¹; Malick Ba ¹; Michel Guilbaud ²

¹ LEA (UMR CNRS 6609), ENSMA, 1, rue Clément Ader, BP 40109, 86960 Futuroscope Chasseneuil cedex, France
² LEA (UMR CNRS 6609), CEAT, université de Poitiers, 43, rue de l'Aérodrome, 86036 Poitiers cedex, France

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     author = {Alain Rebeyrotte and Malick Ba and Michel Guilbaud},
     title = {Prise en compte des effets non lin\'eaires de surface libre en \'ecoulement instationnaire},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {163--170},
     publisher = {Elsevier},
     volume = {333},
     number = {2},
     year = {2005},
     doi = {10.1016/j.crme.2004.10.002},
     language = {fr},
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Alain Rebeyrotte; Malick Ba; Michel Guilbaud. Prise en compte des effets non linéaires de surface libre en écoulement instationnaire. Comptes Rendus. Mécanique, Volume 333 (2005) no. 2, pp. 163-170. doi : 10.1016/j.crme.2004.10.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.10.002/

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