Wave Boundary Layers in a Stably Neutrally Stratified Ocean

The theory of wave boundary layers developed in [7] is generalized to the case of a stably neutrally stratified ocean consisting of a homogeneous upper layer and a stably stratified lower layer. In such a configuration, a wave boundary layer arises near the interface in the lower stratified fluid, i...

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Bibliographic Details
Published in:Oceanology (Washington. 1965) 2019-03, Vol.59 (2), p.182-190
Main Author: Reznik, G. M.
Format: Article
Language:English
Subjects:
Asymptotic methods
Boundary layers
Earth and Environmental Science
Earth Sciences
Linear waves
Marine Physics
Oceanography
Perturbation
Velocity gradient
Velocity gradients
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Summary:The theory of wave boundary layers developed in [7] is generalized to the case of a stably neutrally stratified ocean consisting of a homogeneous upper layer and a stably stratified lower layer. In such a configuration, a wave boundary layer arises near the interface in the lower stratified fluid, in addition to the boundary layers near the surface and bottom. Each boundary layer is a narrow domain characterized by sharp buoyancy and horizontal velocity gradients that increase with time. As in [7], the boundary layer near the interface can evolve as a result of the free linear wave evolution of an initial perturbation. An exact solution and asymptotic solution valid at large times are determined; the asymptotic solution approximates the exact one fairly well even for moderate times.
ISSN:0001-4370
1531-8508
DOI:10.1134/S0001437019020140