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Generation of internal and surface waves by seafloor movement in a two layer fluid system
Song, Jin-Bao1,2
2009-07-01
发表期刊THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS
ISSN0935-4964
卷号23期号:3页码:197-211
文章类型Article
摘要Internal and surface waves generated by the deformations of the solid bed in a two layer fluid system of infinite lateral extent and uniform depth are investigated. An integral solution is developed for an arbitrary bed displacement on the basis of a linear approximation of the complete description of wave motion using a transform method (Laplace in time and Fourier in space) analogous to that used to study the generation of tsunamis by many researchers. The theoretical solutions are presented for three interesting specific deformations of the seafloor; the spatial variation of each seafloor displacement consists of a block section of the seafloor moving vertically either up or down while the time-displacement history of the block section is varied. The generation process and the profiles of the internal and surface waves for the case of the exponential bed movement are numerically illustrated, and the effects of the deformation parameters, densities and depths of the two layers on the solutions are discussed. As expected, the solutions derived from the present work include as special cases that obtained by Kervella et al. [Theor Comput Fluid Dyn 21:245-269, 2007] for tsunamis cased by an instantaneous seabed deformation and those presented by Hammack [J Fluid Mech 60:769-799, 1973] for the exponential and the half-sine bed displacements when the density of the upper fluid is taken as zero.; Internal and surface waves generated by the deformations of the solid bed in a two layer fluid system of infinite lateral extent and uniform depth are investigated. An integral solution is developed for an arbitrary bed displacement on the basis of a linear approximation of the complete description of wave motion using a transform method (Laplace in time and Fourier in space) analogous to that used to study the generation of tsunamis by many researchers. The theoretical solutions are presented for three interesting specific deformations of the seafloor; the spatial variation of each seafloor displacement consists of a block section of the seafloor moving vertically either up or down while the time-displacement history of the block section is varied. The generation process and the profiles of the internal and surface waves for the case of the exponential bed movement are numerically illustrated, and the effects of the deformation parameters, densities and depths of the two layers on the solutions are discussed. As expected, the solutions derived from the present work include as special cases that obtained by Kervella et al. [Theor Comput Fluid Dyn 21:245-269, 2007] for tsunamis cased by an instantaneous seabed deformation and those presented by Hammack [J Fluid Mech 60:769-799, 1973] for the exponential and the half-sine bed displacements when the density of the upper fluid is taken as zero.
关键词Two-layer Fluid Interfacial Waves Sea Floor Deformation Tsunami
学科领域Mechanics ; Physics, Fluids & Plasmas
DOI10.1007/s00162-009-0119-4
URL查看原文
收录类别SCI
语种英语
WOS记录号WOS:000267593800002
引用统计
被引频次:4[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.qdio.ac.cn/handle/337002/2392
专题海洋环流与波动重点实验室
作者单位1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China
2.Chinese Acad Sci, KLOCAW, Qingdao 266071, Peoples R China
第一作者单位中国科学院海洋研究所;  海洋环流与波动重点实验室
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Song, Jin-Bao. Generation of internal and surface waves by seafloor movement in a two layer fluid system[J]. THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS,2009,23(3):197-211.
APA Song, Jin-Bao.(2009).Generation of internal and surface waves by seafloor movement in a two layer fluid system.THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS,23(3),197-211.
MLA Song, Jin-Bao."Generation of internal and surface waves by seafloor movement in a two layer fluid system".THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS 23.3(2009):197-211.
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