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The Boundary Element Analysis of Wave Force acting on Multiple Cylinders

  • Kim, Nam-Hyeong (Department of Civil Engineering/Marine & Environmental Research Institute, Jeju National University) ;
  • Cao, Tan Ngooc Than (Department of Civil Engineering/Marine & Environmental Research Institute, Jeju National University) ;
  • Yang, Soon-Bo (Department of Civil Engineering/Marine & Environmental Research Institute, Jeju National University)
  • Received : 2012.08.08
  • Accepted : 2012.09.24
  • Published : 2012.09.30

Abstract

In this paper, the boundary element method is applied to solve the diffraction of waves by multiple vertical cylinders under the assumption of linear wave theory. A numerical analysis by boundary element method is based on Green's theorem and introduced to an integral equation for the fluid velocity potential around the cylinders. The numerical results obtained in this study are compared with the experimental data and the results of the theory using multiple scattering techniques. The comparisons show strong agreement. This numerical analysis method developed by using boundary element method could be used broadly for the design of various offshore structures to be constructed in coastal zones in the future.

Keywords

References

  1. 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.
  2. Chakrabarti, S. K.(2000), "Hydrodynamic interaction forces on multiple-moduled structures." Ocean Engineering, Vol. 27, No. 10, pp. 1037-1063. https://doi.org/10.1016/S0029-8018(99)00034-7
  3. Kagemoto, H. and Yue, D. K. P.(1986), "Interactions among multiple three-dimensional bodies in water waves: an exact algebraic method." Journal of Fluid Mechanics, Vol. 166, pp. 189-209. https://doi.org/10.1017/S0022112086000101
  4. 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.
  5. Kim, N. H., Park, M. S. and Yang, S. B.(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. https://doi.org/10.1007/BF02823369
  6. Kim, N. H. and Cao, T. N. T.(2008a), "Wave force analysis of the two vertical cylinders by boundary element method." KSCE Journal of Civil Engineering, Vol. 12, No. 6, pp. 359-366. https://doi.org/10.1007/s12205-008-0359-7
  7. Kim, N. H. and Cao, T. N. T.(2008b), "Wave force analysis of the three vertical cylinders in water waves." Journal of Navigation and Port Research International Edition, Vol. 32, No. 7, pp. 543-552. https://doi.org/10.5394/KINPR.2008.32.7.543
  8. Linton, C. M. and Evans, D. V.(1990), "The interaction of waves with arrays of vertical circular cylinders." Journal of Fluid Mechanics, Vol. 215, pp. 549-569. https://doi.org/10.1017/S0022112090002750
  9. MacCamy, R. C. and Fuchs, R. A.(1954), "Wave forces on piles: A diffraction theory." Tech. Memo, No. 69, US Army Coastal Engineering Research Center.
  10. Ohkusu, M.(1974), "Hydrodynamic forces on multiple cylinders in waves." Proceedings of International Symposium on Dynamics of Marine Vehicles and Structures in Waves, London, Paper 12, pp. 107-112.
  11. Sobierajski, E.(1970), "Hydrodynamic interpretation of the gravity wave action on piles and columns." RozprawyHydrotechiczne, Vol. 26, pp. 37-64(inPolish).
  12. Spring, B. H. and Monkmeyer, P. L.(1974), "Interaction of plane waves with vertical cylinders." Proceedings of 14th international conference on coastal engineering, Copenhagen, Denamrk, Vol. 107, pp. 1828-1847.
  13. Twersky, V.(1950), "Multiple scattering of radiation by an arbitrary configuration of parallel cylinders." Journal of the Acoustical Society of America, Vol. 24, pp. 42-46.
  14. Williams, A. N. and Li, W.(2000), "Water wave interaction with an array of bottom-mounted surface-piercing porous cylinders." Ocean Engineering, Vol. 27, No. 8, pp. 841-866. https://doi.org/10.1016/S0029-8018(99)00004-9