Wind set-down relaxation

Date

2007-10-01

Author

Aydin, Baran
Kanoğlu, Utku

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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.

Subject Keywords

Hodograph transformation, Shallow-water wave equations, Wind set-down relaxation, Wind set-down

URI

https://hdl.handle.net/11511/54104

Journal

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES

Collections

Department of Engineering Sciences, Article

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Citation Formats

B. Aydin and U. Kanoğlu, “Wind set-down relaxation,” CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, pp. 149–155, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54104.