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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/43191

Title: Extended time-dependent mild-slope and wave action equations for wave-bottom and wave-current interactions
Authors: Yaron Toledo;Tai-Wen Hsu;Aron Roland
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: water waves;wave–current interactions;mild-slope equations;wave-action equations
Date: 2011-09-07
Issue Date: 2017-06-08T01:50:41Z
Publisher: Proceedings of Royal Socieaty
Abstract: Abstract:Extended mild-slope (MS) and wave-action equations (WAEs) are derived by taking into account high-order derivatives of the bottom profile and the depth-averaged current that were previously neglected. As a first step for this derivation, a time-dependent MS-type equation in the presence of ambient currents that consists of these high-order components is constructed. This mild-slope equation is used as a basis to form a wave-action balance equation that retains high-order refraction and diffraction terms of varying depths and currents. The derivation accurately accounts for the effects of the currents on the Doppler shift. This results in an ‘effective’ intrinsic frequency and wavenumber that differ from the ones of wave ray theory. Finally, the new WAE is derived for the phase-averaged frequency-direction spectrum in order to allow its use in stochastic wave-forecasting models.
Relation: 468(2137), pp.184-205
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/43191
Appears in Collections:[河海工程學系] 期刊論文

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