Finite-amplitude interfacial waves in the presence of a current
- 1 October 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 123 (OCT) , 459-476
- https://doi.org/10.1017/s0022112082003152
Abstract
Solutions for interfacial waves of permanent form in the presence of a current wcre obtained for small-to-moderate wave amplitudes. A weakly nonlinear approximation was used to give simplc analytical solutions to second order in wave height. Numerical methods were usctl to obtain solutions for larger wave amplitudes, details are reported for a number of sclccted cases. A special class of finite-amplitude solutions, closely related to the well-known Stokes surface waves, were identified. Factors limiting the existencc of steady solutions are examined.This publication has 10 references indexed in Scilit:
- On the Theory of Oscillatory WavesPublished by Cambridge University Press (CUP) ,2010
- Supplement to a paper on the Theory of Oscillatory WavesPublished by Cambridge University Press (CUP) ,2010
- Steady Gravity‐Capillary Waves on Deep Water—II. Numerical Results for Finite AmplitudeStudies in Applied Mathematics, 1980
- Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep WaterStudies in Applied Mathematics, 1980
- Large amplitude progressive interfacial wavesJournal of Fluid Mechanics, 1979
- Steep gravity waves in water of arbitrary uniform depthPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1977
- Integral properties of periodic gravity waves of finite amplitudeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1975
- Computer extension and analytic continuation of Stokes’ expansion for gravity wavesJournal of Fluid Mechanics, 1974
- An exact solution for progressive capillary waves of arbitrary amplitudeJournal of Fluid Mechanics, 1957
- XLIV. The highest waves in waterJournal of Computers in Education, 1893