Interfacial capillary–gravity short-crested waves
نویسندگان
چکیده
This paper presents a method derived from Whitham’s variational formulation of the problem interfacial capillary–gravity short-crested waves. It is developed for resolution waves generated by obliquely reflecting vertical wall. In essence, not changed, but computations are performed and arranged to produce that has been applied number cases demonstrating effectiveness flexibility approach. The performance illustrated in several examples including case harmonic resonance.
منابع مشابه
Steep. Short-Crested Waves and Related Phenomena
Steep, short-crested waves, as well as a large variety of three-dimensional propagating wave patterns have been created in laboratory, utilizing a plunging half-cone. Monochromatic waves, over a range of frequencies and amplitudes through breaking and including soliton wave groups near resonance, have been observed and studied in a small wave flume. This monochromatic wavemaker creates complex ...
متن کاملOn stability of generalized short-crested water waves
In this paper, we take up the question of dynamic stability of genuinely two-dimensional ‘‘generalized’’ hexagonal traveling wave patterns on the surface of a three-dimensional ideal fluid (i.e., stability of Generalized Short-Crested Wave (GSCW) solutions of the water wave problem). We restrict ourselves to a study of spectral stability which considers the linearization of the water wave opera...
متن کاملThe long-wave instability of short-crested waves, via embedding in the oblique two-wave interaction
The motivation for this work is the stability problem for short-crested Stokes waves. A new point of view is proposed, based on the observation that an understanding of the linear stability of short-crested waves (SCWs) is closely associated with an understanding of the stability of the oblique non-resonant interaction between two waves. The proposed approach is to embed the SCWs in a six-param...
متن کاملInterfacial waves with surface elasticity
In this paper we study the existence and uniqueness of interfacial waves in account of surface elasticity at the interface. A sufficient condition for the existence and uniqueness of a subsonic interfacial wave between two elastic half-spaces is obtained for general anisotropic materials. Further, we explicitly calculate the dispersion relations of interfacial waves for interfaces between two s...
متن کاملLattice Boltzmann modeling of interfacial gravity waves
A novel numerical technique for simulating interfacial gravity waves is considered. The model comprises an immiscible, binary fluid lattice Boltzmann model incorporating a gravitational interaction and simulates two immiscible, viscous fluids of different densities with a sharp interface between them. The model is described and the accuracy of the technique is considered. Simulation results are...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Comptes rendus
سال: 2023
ISSN: ['1873-7234']
DOI: https://doi.org/10.5802/crmeca.221