Open Access

ARTICLE

Wind Set-down Relaxation

by Baran Aydın¹, Utku Kâno ˘glu³

1 Department of Civil Engineering, Akdeniz University, Dumlupınar Bulvarı, Kampus/Antalya 07058, Turkey.
2 Present address: Department of Engineering Sciences, Middle East Technical University, İnönü Bulvarı, Ankara 06531, Turkey.
3 Department of Engineering Sciences, Middle East Technical University, Inönü Bulvarı, Ankara 06531, Turkey.

Computer Modeling in Engineering & Sciences 2007, 21(2), 149-156. https://doi.org/10.3970/cmes.2007.021.149

Abstract

We developed analytical solutions to the wind set-down and the wind set-down relaxation problems. The response of the ocean to the wind blowing over a long-narrow and linearly sloping shallow basin is referred to as wind set-down. The shoreline exhibits oscillatory behavior when the wind calms down and the resulting problem is referred to as wind set-down relaxation. We use an existing hodograph-type transformation that was introduced to solve the nonlinear shallow-water wave equations analytically for long wave propagation and obtain an explicit-transform analytical solution for wind set-down. For the wind set-down relaxation, the nonlinear shallow-water wave equations are solved analytically as an initial-boundary value problem, with forced initial data derived from our wind set-down solution.

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Keywords

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