Interaction of Nonlinear Progressive Waves with Two Serially Arranged Submerged Obstacles
Publication: Journal of Engineering Mechanics
Volume 133, Issue 2
Abstract
The purpose of the present study is to develop a numerical model for the investigation of water waves propagating over a pair of impermeable submerged obstacles. The mathematic model is formulated by coupling solutions of the Navier–Stokes equations and transport equations for the surface elevation using the volume of fluid method. Based on a staggered computational mesh, an explicit numerical algorithm is employed with a predictor–corrector procedure of pressure and velocity field. The proposed model provides good agreement with other experimental results and validates its good performance. Regarding the spatial harmonic evolutions of various cases, it is noted that the present fluctuating mode of harmonic amplitudes exists upstream and at the gap between obstacles. The results show that the nonlinearity of propagating waves becomes stronger than the initial wave in such areas, and reveals much steeper wave profiles compared to the initial ones. The fluctuating harmonic amplitudes vary with the gap width and form two hydrodynamic cycles. The vortices play an important role in the wave reflection as they form a water column wall to reflect the incoming waves. The reflection ratio depends on the extent of vortex development near the upstream obstacle. The maximum wave reflection occurs in cases with dimensionless gap width equal to 3/8 and 7/8 in this study.
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Acknowledgments
This research was financially supported by the Institute of Physics, Academia Sinica, Taipei, Taiwan, and the National Science Council, R.O.C., Grant No. NSC 94-2611-E-001-001.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 2 • February 2007
Pages: 205 - 212
Copyright
© 2007 ASCE.
History
Received: May 3, 2005
Accepted: Jul 7, 2006
Published online: Feb 1, 2007
Published in print: Feb 2007
Notes
Note. Associate Editor: Robert J. Martinuzzi
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