Internal gravity waves in geophysical fluids
Résumé
In this second Chapter, we recall some basic notions on stably-stratified flows before focusing on internal gravity wave dynamics. In Section 1, we illustrate the occurence of stably-stratified flows in nature and, in Section 2, we derive the Boussinesq approximation. Except for a very brief presentation of the Kelvin-Helmholtz instability in Section 3, we start discussing about internal gravity waves from this section on. The linear properties of the wave are discussed in this Section. The mechanisms that can lead the wave field to breaking are addressed in Sections 4 to 6: parametric and buoyancy-induced instabilities (Section 4), interaction with a shear flow (Section 5), interaction with a sloping boundary (Section 6). We briefly discuss about the statistical properties of the breaking wave field in Section 7 and introduce some notions on mixing in Section 8.
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