Journal of Applied Mathematics

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

Jisheng Zhang, Jinhai Zheng, Dong-Sheng Jeng, and Gang Wang

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 508754, 14 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153579

Digital Object Identifier
doi:10.1155/2012/508754

Mathematical Reviews number (MathSciNet)
MR2997257

Zentralblatt MATH identifier
1264.76027

Citation

Zhang, Jisheng; Zheng, Jinhai; Jeng, Dong-Sheng; Wang, Gang. Numerical Simulation of Solitary Wave Induced Flow Motion around a Permeable Submerged Breakwater. J. Appl. Math. 2012 (2012), Article ID 508754, 14 pages. doi:10.1155/2012/508754. https://projecteuclid.org/euclid.jam/1357153579


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