Instability Classes of Interfacial Waves of Gravity-Capillary Infinite Depth
7 Pages Posted: 25 Apr 2019 Last revised: 8 Aug 2019
Date Written: April 25, 2019
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
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