Accession Number : AD0746138

Title :   Nonlinear Interactions among Standing Surface and Internal Gravity Waves.

Descriptive Note : Doctoral thesis,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF METEOROLOGY

Personal Author(s) : Joyce,Terrence Michael

Report Date : JUN 1972

Pagination or Media Count : 102

Abstract : A laboratory study was undertaken to measure the momentum transfer from surface to internal gravity waves in a nonlinear, resonant interaction. The interacting waves form triads for which (Sigma sub is)- (Sigma sub 2S) plus or minus (Sigma subI) = 0 and (Kappa sub is)-(Kappa sub 2S) plus or minus (Kappa sub I) = 0; Sigma sub j and Kappa sub j 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. (Author)

Descriptors :   (*OCEAN WAVES, INTERACTIONS), MATHEMATICAL MODELS, INTERFACES, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, CURVE FITTING, NONLINEAR SYSTEMS, MECHANICAL WAVES, THESES

Subject Categories : Physical and Dynamic Oceanography

Distribution Statement : APPROVED FOR PUBLIC RELEASE