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Huang, Hu; Fu, Jia

The patterns of surface capillary-gravity short-crested waves with uniform current fields in coastal waters. (English) Zbl 1202.76022

Acta Mech. Sin. 22, No. 5, 433-441 (2006).
Summary: A fully three-dimensional surface gravity-capillary short-crested wave system is studied as two progressive wave-trains of equal amplitude and frequency, which are collinear with uniform currents and doubly-periodic in the horizontal plane, are propagating at an angle to each other. The first- and second-order asymptotic analytical solutions of the short-crested wave system are obtained via a perturbation expansion in a small parameter associated with the wave steepness, therefore depicting a series of typical three-dimensional wave patterns involving currents, shallow and deep water, and surface capillary waves, and comparing them with each other.

Cited in 2 Documents

MSC:

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76B45 Capillarity (surface tension) for incompressible inviscid fluids
86A05 Hydrology, hydrography, oceanography

Keywords:

short-crested waves; uniform currents; patterns; surface capillary-gravity waves; finite depth and deep water
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References:

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