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.

Linked References

1. Y. S. Cho, J. I. Lee, and Y. T. Kim, “Experimental study of strong reflection of regular water waves over submerged breakwaters in tandem,” Ocean Engineering, vol. 31, no. 10, pp. 1325–1335, 2004. View at Publisher · View at Google Scholar · View at Scopus
2. H. B. Chen, C. P. Tsai, and J. R. Chiu, “Wave reflection from vertical breakwater with porous structure,” Ocean Engineering, vol. 33, no. 13, pp. 1705–1717, 2006. View at Publisher · View at Google Scholar · View at Scopus
3. J. L. Lara, I. J. Losada, and R. Guanche, “Wave interaction with low-mound breakwaters using a RANS model,” Ocean Engineering, vol. 35, no. 13, pp. 1388–1400, 2008. View at Publisher · View at Google Scholar · View at Scopus
4. D.-S. Hur, W.-D. Lee, and W.-C. Cho, “Characteristics of wave run-up height on a sandy beach behind dual-submerged breakwaters,” Ocean Engineering, vol. 45, pp. 38–55, 2012. View at Publisher · View at Google Scholar · View at Scopus
5. C. J. Huang, H. H. Chang, and H. H. Hwung, “Structural permeability effects on the interaction of a solitary wave and a submerged breakwater,” Coastal Engineering, vol. 49, no. 1-2, pp. 1–24, 2003. View at Publisher · View at Google Scholar · View at Scopus
6. C. L. Ting, M. C. Lin, and C. Y. Cheng, “Porosity effects on non-breaking surface waves over permeable submerged breakwaters,” Coastal Engineering, vol. 50, no. 4, pp. 213–224, 2004. View at Publisher · View at Google Scholar · View at Scopus
7. L. H. Huang and H. I. Chao, “Reflection and transmission of water wave by porous breakwater,” Journal of Waterway, Port, Coastal, and Ocean Engineering, vol. 118, no. 5, pp. 437–452, 1992. View at Scopus
8. I. J. Losada, M. D. Patterson, and M. A. Losada, “Harmonic generation past a submerged porous step,” Coastal Engineering, vol. 31, no. 1–4, pp. 281–304, 1997. View at Scopus
9. N. Kobayashi, L. E. Meigs, T. Ota, and J. A. Melby, “Irregular breaking wave transmission over submerged porous breakwater,” Journal of Waterway, Port, Coastal and Ocean Engineering, vol. 133, no. 2, pp. 104–116, 2007. View at Publisher · View at Google Scholar · View at Scopus
10. I. J. Losada, J. L. Lara, R. Guanche, and J. M. Gonzalez-Ondina, “Numerical analysis of wave overtopping of rubble mound breakwaters,” Coastal Engineering, vol. 55, no. 1, pp. 47–62, 2008. View at Publisher · View at Google Scholar · View at Scopus
11. A. S. Koraim, E. M. Heikal, and O. S. Rageh, “Hydrodynamic characteristics of double permeable breakwater under regular waves,” Marine Structures, vol. 24, no. 4, pp. 503–527, 2011. View at Publisher · View at Google Scholar · View at Scopus
12. A. Nakayama and F. Kuwahara, “Macroscopic turbulence model for flow in a porous medium,” Journal of Fluids Engineering, Transactions of the ASME, vol. 121, no. 2, pp. 427–433, 1999. View at Scopus
13. P. L.-F. Liu, P. Lin, K. A. Chang, and T. Sakakiyama, “Numerical modeling of wave interaction with porous structures,” Journal of Waterway, Port, Coastal and Ocean Engineering, vol. 125, no. 6, pp. 322–330, 1999. View at Scopus
14. M. H. J. Pedras and M. J. S. de Lemos, “Macroscopic turbulence modeling for incompressible flow through undefromable porous media,” International Journal of Heat and Mass Transfer, vol. 44, no. 6, pp. 1081–1093, 2001. View at Publisher · View at Google Scholar · View at Scopus
15. T.-J. Hsu, T. Sakakiyama, and P. L.-F. Liu, “A numerical model for wave motions and turbulence flows in front of a composite breakwater,” Coastal Engineering, vol. 46, no. 1, pp. 25–50, 2002. View at Publisher · View at Google Scholar · View at Scopus
16. M. Chandesris, G. Serre, and P. Sagaut, “A macroscopic turbulence model for flow in porous media suited for channel, pipe and rod bundle flows,” International Journal of Heat and Mass Transfer, vol. 49, no. 15-16, pp. 2739–2750, 2006. View at Publisher · View at Google Scholar · View at Scopus
17. M. F. Karim, K. Tanimoto, and P. D. Hieu, “Modelling and simulation of wave transformation in porous structures using VOF based two-phase flow model,” Applied Mathematical Modelling, vol. 33, no. 1, pp. 343–360, 2009. View at Publisher · View at Google Scholar · View at Scopus
18. F. J. Mendez, I. J. Losada, and M. A. Losada, “Wave-induced mean magnitudes in permeable submerged breakwaters,” Journal of Waterway, Port, Coastal and Ocean Engineering, vol. 127, no. 1, pp. 7–15, 2001. View at Scopus
19. M. R. A. van Gent, “The modelling of wave action on and in coastal structures,” Coastal Engineering, vol. 22, no. 3-4, pp. 311–339, 1994. View at Scopus
20. E. C. Cruz, M. Isobe, and A. Watanabe, “Boussinesq equations for wave transformation on porous beds,” Coastal Engineering, vol. 30, no. 1-2, pp. 125–156, 1997. View at Scopus
21. J. L. Lara, I. J. Losada, M. Maza, and R. Guanche, “Breaking solitary wave evolution over a porous underwater step,” Coastal Engineering, vol. 58, no. 9, pp. 837–850, 2011. View at Publisher · View at Google Scholar · View at Scopus
22. P. Lin and P. L.-F. Liu, “Internal wave-maker for Navier-Stokes equations models,” Journal of Waterway, Port, Coastal and Ocean Engineering, vol. 125, no. 4, pp. 207–215, 1999. View at Publisher · View at Google Scholar · View at Scopus
23. P. Lin and P. L.-F. Liu, “A numerical study of breaking waves in the surf zone,” Journal of Fluid Mechanics, vol. 359, pp. 239–264, 1998. View at Scopus
24. C. W. Hirt and B. D. Nichols, “Volume of fluid (VOF) method for the dynamics of free boundaries,” Journal of Computational Physics, vol. 39, no. 1, pp. 201–225, 1981. View at Scopus
25. W. J. Rider and D. B. Kothe, “Reconstructing volume tracking,” Journal of Computational Physics, vol. 141, no. 2, pp. 112–152, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH