TY - EJOU
AU - Aydın, Baran
AU - Kânoğlu, Utku
TI - Wind Set-down Relaxation
T2 - Computer Modeling in Engineering \& Sciences
PY - 2007
VL - 21
IS - 2
SN - 1526-1506
AB - 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.
KW - Wind set-down
KW - wind set-down relaxation
KW - shallow-water wave equations
KW - hodograph transformation
DO - 10.3970/cmes.2007.021.149