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Second-order solutions for random interfacial waves in N-layer density-stratified fluid with steady uniform currents

引用

Chinese Physics B 2008年第9期17卷 3387-3393页

作者：陈小刚郭志萍宋金宝 College of Science Inner Mongolia University of Technology Institute of Oceanology Chinese Academy of Sciences Teaching Department of Basic Sciences Shanxi Water Technical Professional College

In the present paper, the random interfacial waves in N-layer density-stratified fluids moving at different steady uniform speeds are researched by using an expansion technique, and the second-order asymptotic solutions of the random displacements of the density interfaces and the associated velocity potentials in N-layer fluid are presented based on the small amplitude wave theory. The obtained results indicate that the wave-wave second-order nonlinear interactions of the wave components and the second-order nonlinear interactions between the waves and currents are described. As expected, the solutions include those derived by Chen （2006） as a special case where the steady uniform currents of the N-layer fluids are taken as zero, and the solutions also reduce to those obtained by Song （2005） for second-order solutions for random interfacial waves with steady uniform currents if N = 2.

关键词： N-layer density-stratified fluid uniform currents random interracial waves secondorder solutions

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The patterns of surface capillary-gravity short-crested waves with uniform current fields in coastal waters

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Acta Mechanica Sinica 2006年第5期22卷 433-441页

作者： Hu Huang Jia Fu Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

A fully three-dimensional surface gravitycapillary short-crested wave system is studied as two progressive wave-trains of equal amplitude and frequency, which are collinear with uniform currents and doubly-periodic in the horizontal plane, are propagating at an angle to each other. The first- and second-order asymptotic analytical solutions of the short-crested wave system are obtained via a perturbation expansion in a small parameter associated with the wave steepness, therefore depicting a series of typical three-dimensional wave patterns involving currents, shallow and deep water, and surface capillary waves, and comparing them with each other.

关键词： Short-crested waves uniform currents Patterns Surface capillary-gravity waves Finite depth and deep water

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