Wind set-down relaxation


Aydin B., Kanoglu U.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, cilt.21, ss.149-155, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 21 Konu: 2
  • Basım Tarihi: 2007
  • Dergi Adı: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
  • Sayfa Sayıları: ss.149-155

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.