Nonlinear interactions among standing surface and internal gravity waves
Joyce, Terrence M.
MetadataShow full item record
A laboratory study has been undertaken to measure the momentum transfer from surface to internal gravity waves in a nonlinear, resonant interaction. The interacting waves form triads for which σ1s - σ2s ± σI = 0 and κ1s - κ2s ± κI = 0; σj and κj being the frequency and wavenumber of the jth wave. In particular, the experiment is designed to model a generating mechanism for high frequency, oceanic internal waves. Unlike previously published results involving single triplets of interacting waves, all waves here considered are standing waves. The growth to steady state of a resonant internal wave is observed while two deep water surface eigen modes are simultaneously forced by a paddle. Results are compared to theoretical predictions which assume, ab initio, all waves to be standing. Inclusion of viscous side wall dissipation and slight detuning permit predictions of steady state amplitudes and phases as well as initial growth rates. Good agreement is found between predieted and measured amplitudes and phases. The experiments also suggest that the internal wave in a resonant triad can act as a catalyst, permitting appreciable energy transfer among surface waves.
Submitted in partial fulfillment of the requirements for the degree of Doctor of Science at the Massachusetts Institute of Technology and the Woods Hole Oceanographic Institution June, 1972
Suggested CitationThesis: Joyce, Terrence M., "Nonlinear interactions among standing surface and internal gravity waves", 1972-06, DOI:10.1575/1912/1269, https://hdl.handle.net/1912/1269
Showing items related by title, author, creator and subject.
Measurements and models of fine-structure, internal gravity waves and wave breaking in the deep ocean Eriksen, Charles C. (Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 1976-09)Measurements of horizontal and vertical current by propeller cluster current meters and temperature by thermistors mounted on a rigid array 8 m high and 20 m long moored in the oceanic main thermocline near Bermuda are ...
Three-dimensional acoustic propagation through shallow water internal, surface gravity and bottom sediment waves Shmelev, Alexey A. (Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 2011-09)This thesis describes the physics of fully three-dimensional low frequency acoustic interaction with internal waves, bottom sediment waves and surface swell waves that are often observed in shallow waters and on continental ...
Tectonics of the East Pacific rise : studies of faulting characteristics and magnetic and gravity anomalies Lee, Sang-Mook (Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 1995-02)The global mid-ocean ridge system is one of the most striking geological features on the surface of the Earth. In this system, the East Pacific Rise (EPR) is the fastest spreading ridge and is thus considered as the most ...