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Initial Value Problems for Water Waves in the Presence of a Shear Current

Li, Yan; Ellingsen, Simen Andreas Ådnøy
Chapter, Conference object, Peer reviewed
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2015-Li_Ellingsen_ISOPE.pdf (Locked)
URI
http://hdl.handle.net/11250/2391833
Date
2015
Metadata
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  • Institutt for energi og prosessteknikk [3339]
  • Publikasjoner fra CRIStin - NTNU [26751]
Original version
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, 2015  
Abstract
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.
Publisher
ISOPE Publications
Series
Proceedings of the twenty-fifth International Ocean and Polar Engineering Conference;ISOPE 2015

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