Extended Boussinesq Equations for Water-Wave Propagation in Porous Media
Publication: Journal of Engineering Mechanics
Volume 136, Issue 5
Abstract
This paper presents a new Boussinesq-type model equations for describing nonlinear surface wave motions in porous media. The mathematical model based on perturbation approach reported by Hsiao et al. is derived. The drag force and turbulence effect suggested by Sollitt and Cross are incorporated for observing the flow behaviors within porous media. Additionally, the approach of Chen for eliminating the depth-dependent terms in the momentum equations is also adopted. The model capability on an applicable water depth range is satisfactorily validated against the linear wave theory. The nonlinear properties of model equations are numerically confirmed by the weakly nonlinear theory of Liu and Wen. Numerical experiments of regular waves propagating in porous media over an impermeable submerged breakwater are performed and the nonlinear behaviors of wave energy transfer between different harmonics are also examined.
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Acknowledgments
The financial support of the National Science Council of Taiwan, through Contract Nos. NSCTNSC95-95-2221-E-006-505 and NSCTNSC96-2628-E-006-249-MY3, is appreciated. The anonymous reviewers are commended for their valuable comments and suggestions. The second writer expresses sincere gratitude to the Sinotech Foundation for Research and Development of Engineering Sciences and Technology for their financial support.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 136 • Issue 5 • May 2010
Pages: 625 - 640
Copyright
© 2010 ASCE.
History
Received: Oct 22, 2008
Accepted: Sep 29, 2009
Published online: Oct 1, 2009
Published in print: May 2010
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