Bragg resonance of waves in a two-layer fluid propagating over bottom ripples. Part II. Numerical simulation

DOI10.1017/S002211200800548XzbMath1171.76331MaRDI QIDQ3184054

Dick K. P. Yue, Yuming Liu, Mohammad-Reza Alam

Publication date: 13 October 2009

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral methods applied to problems in fluid mechanics (76M22) Internal waves for incompressible inviscid fluids (76B55)

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Cites Work

• Dynamics of internal gravity waves in the ocean. Translated from the 1981 Russian original and edited by O. D. Shishkina. With a foreword by Andrey S. Monin
• Scattering of surface gravity waves by bottom topography with a current
• A high-order spectral method for the study of nonlinear gravity waves
• Subharmonic resonance of short internal standing waves by progressive surface waves
• On generalized Bragg scattering of surface waves by bottom ripples
• Resonant generation of internal waves on the soft sea bed by a surface water wave
• Stratified flow over topography: upstream influence and generation of nonlinear internal waves
• Nonlinear interactions among standing surface and internal gravity waves
• A consistent coupled-mode theory for the propagation of small-amplitude water waves over variable bathymetry regions
• Energy transfer between external and internal gravity waves
• Resonant interactions between Kelvin ship waves and ambient waves