Solving Wave Interaction with a Floating Breakwater in Finite Water Depth Using Scaled Boundary FEM

Document Type : Research

Authors

1 School of civil engineering, college of engineering, University of Tehran, Tehran, Iran.

2 Assistant Professor, Faculty of Civil Engineering, Sahand University of Technology, Tabriz, Iran.

3 Professor of Offshore Engineering, Department of Naval Architecture, Ocean & Marine Engineering, University of Strathclyde, Scotland, United Kingdom.

4 Ph.D. of water resources, School of civil engineering, college of engineering, University of Tehran, Tehran, Iran.

Abstract

This study aims to develop an efficient and accurate analytical-numerical model to analyze full interaction between seawater waves and cylindrical floating breakwaters in an infinite fluid domain of finite arbitrary water depth. Based on potential flow assumption, a semi-analytical Scaled Boundary Finite Element Method (SBFEM) in a two-dimensional vertical plane has been used to solve governing Laplace equations. The final equation in the scaled boundary coordinate system has been homogenized by locating the scaling center within each sub-domain. Hence, a diversity of particular solutions are omitted, leading to a unified solution process for radiation/different modes and wave diffraction problems. The accuracy, generality and robustness of the proposed SBFEM model have been evaluated by comparing the results of the proposed model with the reported results from the literature. By implementing the current SBFEM model, simulation results for radiation and diffraction problems are highly accurate compared to the result of other solutions.

Keywords


1. Abul-Azm, A.G., Gesraha, M.R., 2000. Approximation to the hydrodynamics of floating pontoons under oblique waves. Ocean Eng. 27, 365-384. [DOI:10.1016/S0029-8018(98)00057-2]
2. Gesraha, M.R., 2006. Analysis of Π shaped floating breakwater in oblique waves: I. Impervious rigid wave boards. Appl. Ocean Res. 28, 327-338. [DOI:10.1016/j.apor.2007.01.002]
3. Zheng, Y.H., Shen, Y.M., You, Y.G., Wu, B.J., Jie, D.S., 2006. Wave radiation by a floating rectangular structure in oblique seas. Ocean Eng. 33, 59-81. [DOI:10.1016/j.oceaneng.2005.04.005]
4. Zheng, Y.H., You, Y.G., Shen, Y.M., 2004. On the radiation and diffraction of water waves by a rectangular buoy. Ocean Eng. 31, 1063-1082. [DOI:10.1016/j.oceaneng.2003.10.012]
5. Cho, I.-H., 2016. Transmission coefficients of a floating rectangular breakwater with porous side plates. Int. J. Nav. Archit. Ocean Eng. 8, 53-65. [DOI:10.1016/j.ijnaoe.2015.10.002]
6. Diamantoulaki, I., Angelides, D.C., 2011. Modeling of cable-moored floating breakwaters connected with hinges. Eng. Struct. 33, 1536-1552. [DOI:10.1016/j.engstruct.2011.01.024]
7. Jeong, K.L., Lee, Y.G., 2014. Numerical simulations of two-dimensional floating breakwaters in regular waves using fixed cartesian grid. Int. J. Nav. Archit. Ocean Eng. 6, 206-218. [DOI:10.2478/IJNAOE-2013-0173]
8. Kwang, J.B., 1976. The added mass and damping coefficients of and the excitation forces on four axisymmetric ocean platforms.
9. Rahman, M.A., Womera, S.A., 2013. Experimental and numerical investigation on wave interaction with submerged breakwater. J. Water Resour. Ocean Sci. 2, 155-164. [DOI:10.11648/j.wros.20130206.11]
10. Song, H., Tao, L., 2011. Wave interaction with an infinite long horizontal elliptical cylinder. Proc. Int. Conf. Offshore Mech. Arct. Eng. - OMAE 1, 589-597. [DOI:10.1115/OMAE2011-49829]
11. Yamamoto, T., 1981. Moored floating breakwater response to regular and irregular waves. Appl. Ocean Res. 3, 27-36. [DOI:10.1016/0141-1187(81)90082-1]
12. Fouladi, M.Q., Badiei, P., Vahdani, S., 2021. A study on full interaction of water waves with moored rectangular floating breakwater by applying 2DV scaled boundary finite element method. Ocean Eng. 220, 108450. [DOI:10.1016/j.oceaneng.2020.108450]
13. Fouladi, M.Q., Badiei, P., Vahdani, S., 2020. Extracting the Solution of Three-Dimensional Wave Diffraction Problem from Two-Dimensional Analysis by Introducing an Artificial Neural Network for Floating Objects. Lat. Am. J. Solids Struct. 17. [DOI:10.1590/1679-78256096]
14. Li, B., Cheng, L., Deeks, A.J., Teng, B., 2005a. A modified scaled boundary finite-element method for problems with parallel side-faces. Part I. Theoretical developments. Appl. Ocean Res. 27, 216-223. [DOI:10.1016/j.apor.2005.11.008]
15. Li, B., Cheng, L., Deeks, A.J., Teng, B., 2005b. A modified scaled boundary finite-element method for problems with parallel side-faces. Part II. Application and evaluation. Appl. Ocean Res. 27, 224-234. [DOI:10.1016/j.apor.2005.11.007]
16. Meng, X.N., Zou, Z.J., 2013. Radiation and diffraction of water waves by an infinite horizontal structure with a sidewall using SBFEM. Ocean Eng. 60, 193-199. [DOI:10.1016/j.oceaneng.2012.12.017]
17. Song, H., Tao, L. and Chakrabarti, S.K. (2010): Modelling of water wave interaction with multiplcylinders of arbitrary shape, Journal of Computational Physics, 229 (5), 1498-1513, 1 March 2010. [DOI:10.1016/j.jcp.2009.10.041]
18. Wolf, J.P., 2003. The scaled boundary finite element method. John Wiley & Sons.
19. Tao, L, Song, H. and Chakrabarti, S.K. (2007): Scaled boundary FEM solution of short-crested wave diffraction by a vertical cylinder, Computer Methods in Applied Mechanics and Engineering, 197(14), 232-242, 1 December 2007. [DOI:10.1016/j.cma.2007.07.025]
20. Naftzger, R.A., Chakrabarti, S.K., others, 1979. Scattering of waves by two-dimensional circular obstacles in finite water depths. J. Sh. Res. 23, 32-42. [DOI:10.5957/jsr.1979.23.1.32]