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Large-scale edge waves generated by a moving atmospheric pressure

Theoretical & Applied Mechanics Letters 2012年第4期2卷 13-16页

作者： Chao An Philip L-F. Liu Seung Nam Seo School of Civil and Environmental Engineering CorneU University Ithaca 14853 USA Coastal Engineering and Ocean Energy Research Department Korea Ocean Research and DevelopmentInstitute Seoul 426744 South Korea

Long waves generated by a moving atmospheric pressure distribution, associated with a storm, in coastal region are investigated numerically. For simplicity the moving atmospheric pressure is assumed to be moving only in the alongshore direction and the beach slope is assumed to be a constant in the on-offshore direction. By solving the linear shallow water equations we obtain numerical solutions for a wide range of physical parameters, including storm size （2a）, storm speed （U）, and beach slope （a）. Based on the numerical results, it is determined that edge wave packets are generated if the storm speed is equal to or greater than the critical velocity, Ucr, which is defined as the phase speed of the fundamental edge wave mode whose wavelength is scaled by the width of the storm size. The length and the location of the positively moving edge wave packet is roughly Ut/2 〈 y 〈 Ut, where y is in the alongshore direction and t is the time. Once the edge wave packet is generated, the wavelength is the same as that of the fundamental edge wave mode corresponding to the storm speed and is independent of the storm size, which can, however, affect the wave amplitude. When the storm speed is less than the critical velocity, the primary surface signature is a depression directly correlated to the atmospheric pressure distribution.

关键词： edge wave packet moving atmospheric pressure linear and nonlinear shallow water waves,numerical solutions

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