NDLI: The propagation of a solitary wave over seabed mud of the Voigt model

Content Provider	Springer Nature Link
Author	Xia, YueZhang Zhu, KeQin
Copyright Year	2011
Abstract	In shallow water, seabed mud can dissipate the energy of surface gravity waves effectively. In this paper, solitary wave attenuation induced by seabed mud is studied based on a two-layered system, in which the water is assumed to be inviscid and the mud layer is described by the Voigt model. A set of Boussinesq-type equations suitable for solitary waves over the mud of the Voigt model is established, by combining the perturbation analysis and the Laplace transformation. Degenerating into the case of Newtonian model, our Boussinesq-type equations are equivalent to those of Liu and Chan (2007), while the term indicating mud influence is greatly simplified. Based on the equations, the attenuation of solitary waves is studied. An evolution equation of wave amplitude is obtained and the development of mud velocity profiles is discussed. The modal analysis shows that the first mode always dominates mud dynamics. The results are also compared with those of the Maxwell model.
Starting Page	108
Ending Page	117
Page Count	10
File Format	PDF
ISSN	16747348
Journal	Science in China Series G
Volume Number	55
Issue Number	1
e-ISSN	18691927
Language	English
Publisher	SP Science China Press
Publisher Date	2011-11-09
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	solitary wave seabed mud wave-mud interaction Boussinesq-type equations Voigt model Physics Astronomy, Observations and Techniques Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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