Wind set-down relaxation

Aydin B., Kanoglu U.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol.21, no.2, pp.149-155, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 2
  • Publication Date: 2007
  • Journal Name: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.149-155
  • Keywords: wind set-down, wind set-down relaxation, shallow-water wave equations, hodograph transformation, SLOPING BEACH, WAVES, RUNUP
  • Middle East Technical University Affiliated: Yes

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.