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Effect of vorticity on steady water waves

Published online by Cambridge University Press:  11 July 2008

JOY KO  and
WALTER STRAUSS
JOY KO
Affiliation:
Mathematics Department, Brown University, Box 1917, Providence, RI 02912, USA
WALTER STRAUSS
Affiliation:
Mathematics Department, Brown University, Box 1917, Providence, RI 02912, USA
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Abstract

Two-dimensional, finite-depth periodic steady water waves with variable vorticity ω=γ(ψ) and large amplitude a are computed for a large number of cases. In particular, the effect of a shear layer at the top, the middle or the bottom is considered. The maximum amplitude amax varies monotonically with the vorticity function γ(ċ). It is increasing if the stagnation point is at the crest, and is decreasing if the stagnation point is in the interior of the fluid or on the bottom. Relationships between the amplitude, hydraulic head, depth and mass flux are investigated.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 608 , 10 August 2008 , pp. 197 - 215
Copyright
Copyright © Cambridge University Press 2008

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