Wind set-down relaxation
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, cilt.21, sa.2, ss.149-155, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 21 Sayı: 2
- Basım Tarihi: 2007
- Dergi Adı: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.149-155
- Anahtar Kelimeler: wind set-down, wind set-down relaxation, shallow-water wave equations, hodograph transformation
- Dokuz Eylül Üniversitesi Adresli: Hayır
Özet
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.