Initial Value Problems for Water Waves in the Presence of a Shear Current
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Date
2015Metadata
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ISOPE, ISOPE [Eds.] Proceedings of the twenty-fifth International Ocean and Polar Engineering Conference - ISOPE 2015 p. 543-549 ISOPE - International Offshore and Polar Engineering Conference. Proceedings, International Society of Offshore & Polar Engineers, 2015Abstract
We obtain a general solution for the initial value problems of water
waves with a shear current of uniform vorticity beneath the surface in
three dimensions. Linearized governing equations and boundary
conditions including the effects of
gravity, a distributed external
pressure disturbance, and constant finite depth, are solved analytically.
Results are obtained and correspondin
g analyses are presented for the
special case of an initial pressure impulse condition. Agreement with
previous results in the absence of
shear current is demonstrated. The
results show that a shear current ha
s significant impact on the transient
wave motions. The shear current moreover introduced asymmetry
between upstream and downstream waves, resulting in asymmetric
wave patterns.