Document Detail


Theoretical and experimental study of particle trajectories for nonlinear water waves propagating on a sloping bottom.
MedLine Citation:
PMID:  22393108     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
A third-order asymptotic solution in Lagrangian description for nonlinear water waves propagating over a sloping beach is derived. The particle trajectories are obtained as a function of the nonlinear ordering parameter ε and the bottom slope α to the third order of perturbation. A new relationship between the wave velocity and the motions of particles at the free surface profile in the waves propagating on the sloping bottom is also determined directly in the complete Lagrangian framework. This solution enables the description of wave shoaling in the direction of wave propagation from deep to shallow water, as well as the successive deformation of wave profiles and water particle trajectories prior to breaking. A series of experiments are conducted to investigate the particle trajectories of nonlinear water waves propagating over a sloping bottom. It is shown that the present third-order asymptotic solution agrees very well with the experiments.
Authors:
Yang-Yih Chen; Meng-Syue Li; Hung-Chu Hsu; Chiu-On Ng
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Philosophical transactions. Series A, Mathematical, physical, and engineering sciences     Volume:  370     ISSN:  1364-503X     ISO Abbreviation:  Philos Trans A Math Phys Eng Sci     Publication Date:  2012 Apr 
Date Detail:
Created Date:  2012-03-06     Completed Date:  2012-04-13     Revised Date:  2013-04-24    
Medline Journal Info:
Nlm Unique ID:  101133385     Medline TA:  Philos Trans A Math Phys Eng Sci     Country:  England    
Other Details:
Languages:  eng     Pagination:  1543-71     Citation Subset:  -    
Affiliation:
Department of Marine Environment and Engineering, National Sun Yat-sen University, Kaohsiung 80424, Taiwan.
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