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Edge waves generated by atmospheric pressure disturbances moving along a shoreline on a sloping beach
Institution:1. Coastal Development & Ocean Energy Research Division, Korea Institute of Ocean Science and Technology, Ansan 426-744, Republic of Korea;2. Ocean Science & Technology School, Korea Maritime University, Ansan 426-744, Republic of Korea;3. School of Civil and Environmental Engineering, Cornell University, Ithaca 14853, USA;4. Institute of Hydrological and Ocean Sciences, National Central University, Jhongli, Taiwan;1. Environmental Hydraulics Institute “IH Cantabria”, Universidad de Cantabria, C/Isabel Torres 15 Parque Cientifico y Tecnologico de Cantabria, 39011 Santander, Spain;2. School of Marine Science and Engineering, Plymouth University, Drake Circus, Plymouth, Devon, PL8 4AA, UK;1. School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14853, USA;2. Institute of Hydrological and Oceanic Sciences, National Central University, Jhongli, Taoyuan 320, Taiwan;3. School of Civil and Construction Engineering, Oregon State University, Corvallis, OR 97331, USA
Abstract:Edge waves generated by moving atmospheric disturbances parallel to the shoreline are investigated. Following a standard transformation method, an analytical expression of the surface elevation is derived, which consists of an infinite number of modes. Each mode is expressed as the sum of three singular integrals. Using the contour integration method, these singular integrals are converted to regular integrals, which are evaluated by numerical integration methods. The numerical results of two atmospheric pressure distributions studied by Greenspan (1956) are presented, and the resonance conditions are discussed.
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