Instability Classes of Interfacial Waves of Gravity-Capillary Infinite Depth

7 Pages Posted: 25 Apr 2019 Last revised: 8 Aug 2019

See all articles by Sara Chikhi

Sara Chikhi

University of Science and Technology Houari Boumedienne

Mohammed Debiane

University of Science and Technology Houari Boumedienne

Nabil Allalou

University M'Hamed Bougara of Boumerdes

Dalila Boughazi

University M'Hamed Bougara of Boumerdes

Date Written: April 25, 2019

Abstract

The instability of interfacial gravity-capillary waves is investigated. The main wave was generated by oblique reflection of a uniform wave train on a vertical wall. Fixing the density ratio at μ = 0.9, the depths: d1 = 0.1, d2 = 2, and the capillary at κ = 0.01, we have plotted the resonance curves of the four instability classes Ia, Ib, IIa, IIb , for all of the three configurations: Θ = 10: waves close to the stationary interfacial waves. Θ = 40: fully three-dimensional interfacial waves. Θ = 80: waves close to progressive interfacial waves.

Keywords: Collocation method, numerical analysis, interfacial waves, wave’s instability, resonant interactions, dominant instability

Suggested Citation

Chikhi, Sara and Debiane, Mohammed and Allalou, Nabil and Boughazi, Dalila, Instability Classes of Interfacial Waves of Gravity-Capillary Infinite Depth (April 25, 2019). 2nd National Conference on Computational Fluid Dynamics & Technology 2018 (CFD & Tech 2018). Available at SSRN: https://ssrn.com/abstract=3377912 or http://dx.doi.org/10.2139/ssrn.3377912

Sara Chikhi (Contact Author)

University of Science and Technology Houari Boumedienne ( email )

El Alia Bab Ezzouar
Algiers
Algeria

Mohammed Debiane

University of Science and Technology Houari Boumedienne ( email )

El Alia Bab Ezzouar
Algiers
Algeria

Nabil Allalou

University M'Hamed Bougara of Boumerdes ( email )

Boumerdès
Algeria

Dalila Boughazi

University M'Hamed Bougara of Boumerdes ( email )

Boumerdès
Algeria

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