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Author Dosser, Hayley V
Title Propagation and breaking of nonlinear internal gravity waves
book jacket
Descript 108 p
Note Source: Masters Abstracts International, Volume: 48-04, page: 2302
Thesis (M.Sc.)--University of Alberta (Canada), 2010
Internal gravity waves grow in amplitude as they propagate upwards in a non-Boussinesq fluid and weakly nonlinear effects develop due to interactions with an induced horizontal mean flow. In this work, a new derivation for this wave-induced mean flow is presented and nonlinear Schrodinger equations are derived describing the weakly nonlinear evolution of these waves in an anelastic gas and non-Boussinesq liquid. The results of these equations are compared with fully nonlinear numerical simulations. It is found that interactions with the wave-induced mean flow are the dominant mechanism for wave evolution. This causes modulational stability for hydrostatic waves, resulting in propagation above the overturning level predicted by linear theory for a non-Boussinesq liquid. Due to high-order dispersion terms in the Schrodinger equation for an anelastic gas, hydrostatic waves become unstable and break at lower levels. Non-hydrostatic waves are modulationally unstable, overturning at lower levels than predicted by linear theory
School code: 0351
Host Item Masters Abstracts International 48-04
Subject Geophysics
Atmospheric Sciences
Physics, Fluid and Plasma
0373
0725
0759
Alt Author University of Alberta (Canada)
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