Publisher : Korean Institute of Navigation and Port Research
DOI : 10.5394/KINPR.2008.32.7.543
Title & Authors
Wave Force Analysis of the Three Vertical Cylinders in Water Waves Kim, Nam-Hyeong; Cao, Tan Ngoc Than;
The diffraction of waves by three bottom fixed vertical circular cylinders is investigated by using the boundary element method. This method has been successfully applied to the isolated vertical circular cylinder and now is used to study the interaction between waves and multiple vertical cylinders. In this paper, a numerical analysis by the boundary element method is developed by the linear potential theory. The numerical analysis by the boundary element method is based on Green`s second theorem and introduced to an integral equation for the fluid velocity potential around the vertical circular cylinders. To verify this method, the results obtained in present study are compared with the results computed by the multiple scattering method. The results of the comparisons show strong agreement. Also in this paper, several numerical examples are given to illustrate the effects of various parameters on the wave exciting force such are the separation distance, the wave number and the incident wave angle. This numerical computation method might be used broadly for the design of various offshore structures to be constructed in the future.
Diffraction of waves;Boundary element method;Three vertical circular cylinders;Green`s second theorem;Wave force;Run up;
The Boundary Element Analysis of Wave Force acting on Multiple Cylinders, Journal of Navigation and Port Research, 2012, 36, 7, 561
Chakrabarti, S. K. (1978), "Wave forces on multiple vertical cylinders," Journal of Waterway, Port, Coastal and Ocean Division, Vol. 104, No. 2, pp. 147-161.
Chakrabarti, S. K. (2000), "Hydrodynamic interaction forces on multi-moduled structures," Ocean Engineering, Vol. 27, No. 10, pp. 1037-1063.
Han, K. M. and Ohkusu, M. (1995), "Wave forces on groups of vertical circular cylinders," Research Papers, Ocean Resources Research Institute Dong-A University, Vol. 8, No. 1, pp. 17-26.
Kagemoto, H. and Yue, D.K.P. (1986), "Interaction among multiple three-dimensional bodies in water waves," Journal of Fluid Mech., Vol. 166, pp. 189-209.
Kim, M. H. (1992), "Interaction of waves with N vertical circular cylinders," Journal of Waterway, Port, Coastal, and Ocean Engineering, ASCE Vol. 119, No. 6, pp. 671-689.
Kim, N. H. and Park, M. S. (2007), "Wave force analysis of the vertical circular cylinder by boundary element method, KSCE Journal of Civil Engineering," Vol. 11, No. 1, pp. 31-35.
Linton, C. M. and Evans, D. V.(1990), "The interaction of waves with arrays of vertical circular cylinders," J. Fluid Mech. No.46, pp.549-569.
MacCamy, R. C. and Fuchs, R. A. (1954), "Wave forces on piles: a diffraction theory," Tech. Memo, No.69, US Army corps of Engineering, Beach Erosion Board.
Spring, B. H. and Monkmeyer, P. L. (1974), "Interaction of plane waves with vertical cylinders," Proceedings of the fourteenth international conference on coastal engineering, Copenhagen, Denmark, ASCE, pp. 1828-1847.
Williams, A. N. and Li. W. (2000), "Water wave interaction with an array of bottom-mounted surfacepiercing porous cylinder," Ocean Engineering, Vol. 27, No. 8, pp. 841-866.
Xianchu, Z., Dongjiao, W., and Chwang, A. T. (1997), "Hydrodynamic interaction between two vertical cylinders in water waves," English Edition, Vol. 18, No. 10.