On the Navier–Stokes equations simulation of the head-on collision between two surface solitary waves

Pierre Lubin; Stéphane Vincent; Jean-Paul Caltagirone

doi:10.1016/j.crme.2005.02.005

On the Navier–Stokes equations simulation of the head-on collision between two surface solitary waves
[Sur la collision frontale de deux ondes solitaires par simulation des équations de Navier–Stokes]

Présenté par : Michel Combarnous

Pierre Lubin ¹ ; Stéphane Vincent ¹ ; Jean-Paul Caltagirone ¹

¹ Transferts, ecoulements, fluides, energétique (TREFLE), UMR CNRS 8508, site École nationale supérieure de chimie et de physique de Bordeaux (ENSCPB), université Bordeaux 1, 16, avenue Pey-Berland, 33607 Pessac cedex, France

Comptes Rendus. Mécanique, Volume 333 (2005) no. 4, pp. 351-357.

Abstract (VO)
Résumé

The scope of this Note is to show the results obtained for simulating the two-dimensional head-on collision of two solitary waves by solving the Navier–Stokes equations in air and water. The work is dedicated to the numerical investigation of the hydrodynamics associated to this highly nonlinear flow configuration, the first numerical results being analyzed. The original numerical model is proved to be efficient and accurate in predicting the main features described in experiments found in the literature. This Note also outlines the interest of this configuration to be considered as a test-case for numerical models dedicated to computational fluid mechanics.

Ce travail est consacré à l'étude numérique de la collision bidimensionnelle frontale de deux ondes solitaires par simulation numérique des équations de Navier–Stokes en formulation diphasique. L'intérêt de cette étude réside dans la démonstration de la capacité de l'outil numérique original à traiter efficacement ce problème d'onde hautement non-linéaire. Dans cette Note, les résultats numériques sont comparés aux résultats disponibles dans la littérature. Une première investigation de l'hydrodynamique de l'écoulement général est proposée. Il est ainsi démontré que cette configuration est d'une très grande utilité pour valider un code de simulation de mécanique des fluides numérique.

Reçu le : 2005-02-08
Accepté le : 2005-02-08
Publié le : 2005-03-16

DOI : 10.1016/j.crme.2005.02.005

Keywords: Computational fluid mechanics, Two-phase flow, Head-on collision, Solitary waves
Mots-clés : Mécanique des fluides numérique, Écoulement diphasique, Collision frontale, Ondes solitaires

Affiliations des auteurs :

Pierre Lubin ¹ ; Stéphane Vincent ¹ ; Jean-Paul Caltagirone ¹

¹ Transferts, ecoulements, fluides, energétique (TREFLE), UMR CNRS 8508, site École nationale supérieure de chimie et de physique de Bordeaux (ENSCPB), université Bordeaux 1, 16, avenue Pey-Berland, 33607 Pessac cedex, France

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Pierre Lubin; Stéphane Vincent; Jean-Paul Caltagirone. On the Navier–Stokes equations simulation of the head-on collision between two surface solitary waves. Comptes Rendus. Mécanique, Volume 333 (2005) no. 4, pp. 351-357. doi : 10.1016/j.crme.2005.02.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.02.005/

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Tzu-Chiang Lee; Chih-Hua Chang; Chii-Jau Tang Viscous Flow Evolution and Boundary Layer Characteristics during the Head-On Collision of Solitary Waves, Journal of Coastal Research, Volume 37 (2021) no. 3 | DOI:10.2112/jcoastres-d-20-00030.1
Yunxing Zhang; Wenyang Duan; Kangping Liao; Shan Ma Numerical analysis on the effects of a submerged bottom-mounted barrier in the head-on collision of two solitary waves, Applied Ocean Research, Volume 94 (2020), p. 101996 | DOI:10.1016/j.apor.2019.101996
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Amnaya P. Awasthi; Kyle J. Smith; Philippe H. Geubelle; John Lambros Propagation of solitary waves in 2D granular media: A numerical study, Mechanics of Materials, Volume 54 (2012), p. 100 | DOI:10.1016/j.mechmat.2012.07.005
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Pierre Lubin; Stéphane Glockner; Olivier Kimmoun; Hubert Branger Numerical study of the hydrodynamics of regular waves breaking over a sloping beach, European Journal of Mechanics - B/Fluids, Volume 30 (2011) no. 6, p. 552 | DOI:10.1016/j.euromechflu.2011.01.001
Pierre Lubin; Hubert Chanson; Stéphane Glockner Large Eddy Simulation of turbulence generated by a weak breaking tidal bore, Environmental Fluid Mechanics, Volume 10 (2010) no. 5, p. 587 | DOI:10.1007/s10652-009-9165-0
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