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Wave Force Analysis of the Three Vertical Cylinders in Water Waves

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초록

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 as 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.

Abstract

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 as 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.

참고문헌 (11)

  1. Chakrabarti, S. K., "Wave forces on multiple vertical cylinders", Journal of Waterway Port Coastal and Ocean Division, 104(2), pp.147~161 (1978)
  2. Chakrabarti, S. K., "Hydrodynamic interaction forces on multi‐moduled structures", Ocean Engineering, 27(10), pp.1037~1063 (2000)
  3. Han, K. M., "Wave forces on groups of vertical circular cylinders", Research Papers Ocean Resources Research Institute Dong‐A University, 8(1), pp.17~26 (1995)
  4. Kagemoto, H., "Interaction among multiple three‐dimensional bodies in water waves", Journal of Fluid Mech, 166, pp.189~209 (1986)
  5. Kim, M. H., "Interaction of waves with N vertical circular cylinders", Journal of Waterway Port Coastal and Ocean Engineering ASCE, 119(6), pp.671~689 (1992)
  6. 김남형, "Wave Force Analysis of the Two Vertical Cylinders by Boundary Element Method", KSCE Journal of Civil Engineering, 12(6), pp.359~366 (2008), 대한토목학회
  7. Linton, C. M., "The interaction of waves with arrays of vertical circular cylinders", J. Fluid Mech, 46, pp.549~569 (1990)
  8. MacCamy, R. C., "Wave forces on piles: a diffraction theory", Tech. Memo US Army corps of Engineering Beach Erosion Board, (69) (1954)
  9. Spring, B. H., "Interaction of plane waves with vertical cylinders", Proceedings of the fourteenth international conference on coastal engineering, Copenhagen, pp.1828~1847 (1974)
  10. Williams, A. N., "Water wave interaction with an array of bottom‐mounted surfacepiercing porous cylinder", Ocean Engineering, 27(8), pp.841~866 (2000)
  11. Xianchu, Z., "Hydrodynamic interaction between two vertical cylinders in water waves", English Edition, 18(10) (1997)

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