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Journal of Applied Mathematics
Volume 2012 (2012), Article ID 508754, 14 pages
http://dx.doi.org/10.1155/2012/508754
Research Article

Numerical Simulation of Solitary Wave Induced Flow Motion around a Permeable Submerged Breakwater

1State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China
2College of Harbor, Coastal, and Offshore Engineering, Hohai University, Nanjing 210098, China
3Division of Civil Engineering, University of Dundee, Dundee DD1 4HN, UK

Received 29 July 2012; Revised 16 October 2012; Accepted 17 October 2012

Academic Editor: Michael Meylan

Copyright © 2012 Jisheng Zhang 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.

Abstract

This paper presents a numerical model for the simulation of solitary wave transformation around a permeable submerged breakwater. The wave-structure interaction is obtained by solving the Volume-Averaged Reynolds-Averaged Navier-Stokes governing equations (VARANS) and volume of fluid (VOF) theory. This model is applied to understand the effects of porosity, equivalent mean diameter of porous media, structure height, and structure width on the propagation of a solitary wave in the vicinity of a permeable submerged structure. The results show that solitary wave propagation around a permeable breakwater is essentially different from that around impermeable one. It is also found that the structure porosity has more impact than equivalent mean diameter on the wave transformation and flow structure. After interacting with the higher structure, the wave has smaller wave height behind the structure with a lower travelling speed. When the wave propagates over the breakwater with longer width, the wave travelling speed is obviously reduced with more wave energy dissipated inside porous structure.