Stationary waves in the flow of a homogeneous fluid with vertical shear of the velocity

Stationary waves in the flow of a homogeneous fluid with vertical shear of the velocity A plane problem of free stationary gravitational waves in a horizontal current with vertical shear of the velocity is studied in the linear statement. The determination of the parameters of waves is reduced to the solution of the Sturm–Liouville boundary-value problem. For some vertical distributions of current velocity, we obtain analytic solutions. We propose a numerical algorithm for finding the parameters of waves. On the basis of the performed analysis, we establish the possibility of existence of stationary surface waves in currents for certain ranges of the Froude number. As the Froude number decreases, the waves become shorter, which leads to a faster attenuation of waves disturbances with depth. Under the actual conditions, the waves are short and suffer the influence of shear currents only in the subsurface layer of the ocean. Physical Oceanography Springer Journals

Stationary waves in the flow of a homogeneous fluid with vertical shear of the velocity

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Springer US
Copyright © 2010 by Springer Science+Business Media, Inc.
Earth Sciences; Oceanography; Remote Sensing/Photogrammetry; Atmospheric Sciences; Climate Change; Environmental Physics
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