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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 214897, 12 pages
Research Article

Nonlinear Numerical Investigation on Higher Harmonics at Lee Side of a Submerged Bar

1State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
2Waterway and Sediment Engineering Key Laboratory of Ministry of Transport, Nanjing Hydraulic Research Insititute, Nanjing 210029, China

Received 1 January 2012; Accepted 25 January 2012

Academic Editor: Muhammad Aslam Noor

Copyright © 2012 D. Ning et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The decomposition of a monochromatic wave over a submerged object is investigated numerically in a flume, based on a fully nonlinear HOBEM (higher-order boundary element method) model. Bound and free higher-harmonic waves propagating downstream the structure are discriminated by means of a two-point method. The developed numerical model is verified very well by comparison with the available data. Further numerical experiments are carried out to study the relations between free higher harmonics and wave nonlinearity. It is found that the nth-harmonic wave amplitude is growing proportional to the nth power of the incoming wave amplitude for weakly nonlinear wave condition, but higher-harmonic free wave amplitudes tend to a constant value for strong nonlinear wave condition.