Accueil >
Production scientifique
Mécanique de fluides complexes et Physique de l'environnement
(2) Production(s) de l'année 2024
|
|
Wind-wave interaction in finite depth: linear and nonlinear approaches, blow-up and soliton breaking in finite time, integrability perspectives 
Auteur(s): Latifi Anouchah, Manna M., Kraenkel Roberto
Conference: OCNMP-2024 Conference (Bad Ems, DE, 2024-06-23)
Actes de conférence: Proceedings of the OCNMP-2024 Conference: Bad Ems, 23-29 June 2024, vol. p. (2024)
Ref HAL: hal-04752250_v1
Exporter : BibTex | endNote
Résumé: This work is a review of our recent analytical advances of the evolution of surface water solitary waves in Miles and Jeffreys' theories of wind wave interaction in water of finite depth. Although many works have been conducted based on Miles and Jeffreys' approach, only a few studies have been carried out on finite depth. The present review is divided into two major parts. The first corresponds to the surface water waves in a linear regime and its nonlinear extensions. In this part, Miles' theory of wave amplification by wind is extended to the case of finite depth. The dispersion relation provides a wave growth rate depending on depth. A dimensionless water depth parameter, depending on the depth and a characteristic wind speed, induces a
|
|
|
|
Effect of viscosity on wind-driven gravitation waves
Auteur(s): Chaubet C., Kern N., Manna M.
(Article) Publié:
Physics Of Fluids, vol. 36 p.103976 (2024)
Ref HAL: hal-04773731_v1
DOI: 10.1063/5.0221941
Exporter : BibTex | endNote
Résumé: We address the question of how viscosity impacts the growth of gravitation waves, such as those on the ocean, when they are driven by wind. There is so far no general rigorous theory for this energy transfer. We extend Miles' approach [J. W. Miles, “On the generation of surface waves by shear flows,” J. Fluid Mech. 3, 185–204 (1957)], using the same logarithmic wind profile, to incorporate bulk viscosity and derive modified growth rates. Exploiting the fact that water waves fall into the “weak viscosity” regime, we produce analytical expressions for the growth rate, which we solve using the numerical method proposed by Beji and Nadaoka [“Solution of Rayleigh's instability equation for arbitrary wind profiles,” J. Fluid Mech. 500, 65–73 (2004)]. Our results confirm that corrections to the growth rates are significant for wavelengths below a meter, and for weak to modest wind strengths. We show that all wave growth is suppressed, due to viscous effects, below a critical wind strength. We also show that the wave age corresponding to a developed sea is reduced by viscosity. We quantitatively characterize the zones, in terms of wind strength and wavelength, for which the wave growth is suppressed by viscosity.
|
