Finite-amplitude interfacial waves in the presence of a current

DOI10.1017/S0022112082003152zbMath0502.76026OpenAlexW2150841477MaRDI QIDQ3968611

Henry C. Yuen, Philip G. Saffman

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0022112082003152

zbMATH Keywords

hodograph planephysical planelimiting conditionsanalytical solution for weakly nonlinear casefinite amplitude periodic gravity waves at interface between two uniform unbounded fluids of different densitiesrelative horizontal velocitytruncated Fourier series for strongly nonlinear cases

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Internal waves for incompressible inviscid fluids (76B55) Basic methods in fluid mechanics (76M99)

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Cites Work

• An exact solution for progressive capillary waves of arbitrary amplitude
• Large amplitude progressive interfacial waves
• Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep Water
• Steady Gravity-Capillary Waves on Deep Water-II. Numerical Results for Finite Amplitude
• Integral properties of periodic gravity waves of finite amplitude
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves