The blockage of gravity and capillary waves by longer waves and currents

DOI10.1017/S0022112090000659zbMath0708.76035OpenAlexW2058221148MaRDI QIDQ3491197

Owen Martin Phillips, Jinn-Hwa Shyu

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1017/s0022112090000659

zbMATH Keywords

asymptotic expansionSurface wavesblockage of gravity-capillary wavesforward slopes of a finite-amplitude dominant wavelarger-scale flowWKBJ solution

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (12)

Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity ⋮ A Perturbation Analysis of an Interaction between Long and Short Surface Waves ⋮ Blocking dynamics of capillary-gravity waves in a two-layer fluid in the presence of surface and interfacial tensions ⋮ Weakly two-dimensional interaction of solitons in shallow water ⋮ On the wind-induced growth of slow water waves of finite steepness ⋮ Short wave phase shifts by large free surface solitary waves: Experiments and models ⋮ Boussinesq-type equations for wave-current interaction ⋮ Extreme elevations and slopes of interacting solitons in shallow water ⋮ Flexural-gravity wave dynamics in two-layer fluid: blocking and dead water analogue ⋮ A fully nonlinear numerical method for modeling wave-current interactions ⋮ Boundary layer formulations in orthogonal curvilinear coordinates for flow over wind-generated surface waves ⋮ Interactions of internal tides with a heterogeneous and rotational ocean

Cites Work

• The energy and action of small waves riding on large waves
• The dispersion of short wavelets in the presence of a dominant long wave
• The propagation of short surface waves on longer gravity waves
• On the mass and momentum transfer between short gravity waves and larger-scale motions

This page was built for publication: The blockage of gravity and capillary waves by longer waves and currents