Stationary waves in the flow of a homogeneous fluid with vertical shear of the velocity |
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| Authors: | M V Bilyunas S F Dotsenko |
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| Institution: | 1.Marine Hydrophysical Institute,Ukrainian National Academy of Sciences,Sevastopol,Ukraine |
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| Abstract: | 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. |
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