Journal of the Society of Naval Architects of Korea (대한조선학회논문집)

The Society of Naval Architects of Korea (대한조선학회)
권호 표지
DOI QR코드

DOI QR Code

Frequency Domain Analysis for Hydrodynamic Responses of Floating Structure using Desingularized Indirect Boundary Integral Equation Method

비특이화 간접경계적분방정식 방법을 이용한 부유식 구조물의 유체동역학적 거동에 대한 주파수영역 해석

  • Oh, Seunghoon (Korea Research Institute of Ships and Ocean Engineering) ;
  • Jung, Dongho (Korea Research Institute of Ships and Ocean Engineering) ;
  • Cho, Seok-kyu (Korea Research Institute of Ships and Ocean Engineering) ;
  • Nam, Bo-woo (Korea Research Institute of Ships and Ocean Engineering) ;
  • Sung, Hong Gun (Korea Research Institute of Ships and Ocean Engineering)
  • 오승훈 (한국해양과학기술원 부설 선박해양플랜트연구소) ;
  • 정동호 (한국해양과학기술원 부설 선박해양플랜트연구소) ;
  • 조석규 (한국해양과학기술원 부설 선박해양플랜트연구소) ;
  • 남보우 (한국해양과학기술원 부설 선박해양플랜트연구소) ;
  • 성홍근 (한국해양과학기술원 부설 선박해양플랜트연구소)
  • Received : 2018.07.02
  • Accepted : 2018.10.07
  • Published : 2019.02.20
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, a Rankine source method is applied and validated to analyze the hydrodynamic response of a three-dimensional floating structure in the frequency domain. The boundary value problems for radiation and diffraction problem are solved by using a desingularized indirect boundary integral equation method (DIBIEM). The DIBIEM is simpler and faster than conventional methods based on the numerical surface integration of Green's function because the singularities of Green's function are located outside of fluid regions. In case of floating structure with complex geometry, it is difficult to desingularize the singularities of Green's function consistently. Therefore a mixed approach is carried out in this study. The mixed approach is partially desingularized except singularities of the body. Wave drift loads are calculated by the middle-field formulation method that is mathematically simple and has fast convergence. In order to validate the accuracy of the developed program, various numerical simulations are carried out and these results are analyzed and compared with previously published calculations and experiments.

Keywords

References

  1. Ahn, B.K., Lew, J.M., Lee, H.Y. & Lee, C.S., 2008. Application of the B-spline based high order panel method to floating body dynamics. Journal of Ocean Engineering and Technology, 22(5), pp. 25-30.
  2. Beck, R.F., 1994. Time-domain computations for floating bodies. Applied Ocean Research, 16, pp. 267-282. https://doi.org/10.1016/0141-1187(94)90016-7
  3. Bertram, V., 1990. A rankine source method for the forward-speed diffraction problem. Ph. D Thesis, Hamburg University of Technology.
  4. Cao, Y. & Beck, R.F., 2016. Desingularized boundary integral equations and their applications in wave dynamics and wave-body interaction problems. Journal of Ocean Engineering and Science, 1, pp.11-29. https://doi.org/10.1016/j.joes.2016.01.001
  5. Cao, Y., Schultz, W.W. & Beck, R.F., 1991. Three-dimensional desingularized boundary integral methods for potential problem. Iternational Journal for Numerical Methods in Fluids, 12, pp.785-803. https://doi.org/10.1002/fld.1650120807
  6. Cao, Y. & Zhang, F., 2009. Effects of fluid motions in liquid tanks on vessel motions using a simple panel method. 28th International Conference Ocean, Offshore and Artic Engineering, Honolulu, Hawaii, USA, 31 May - 5 Jun 2009.
  7. Carrica, P.M., Wilson, R.V., Noack, R.W. & Stern, F., 2007. Ship motions using single-phase level set with dynamic overset grids. Computers & Fluids, 36(9), pp.1414-1433.
  8. Celebi, M.S., Kim, M.H. & Beck, R.F., 1998. Fully nonlinear 3-D numerical wave tank simulation. Journal of Ship Research, 42(1), pp. 33-45
  9. Chen, X.B., 2004. Hydrodynamics in offshore and naval applications Part I. The 6th International Conference on HydroDynamics, Perth, Australia, 24-26 November 2004.
  10. Chen, X.B., 2007. Middle-field formulation for the computation of wave-drift loads. Journal of Engineering Mathematics, 59, pp. 61-82. https://doi.org/10.1007/s10665-006-9074-x
  11. Chen, X.B., Diebold, L. & Doutreleau, Y., 2001. New green-function Method to predict wave-induced ship motions and loads, Twenty-Third Symposium on Naval Hydrodynamics.
  12. Choi, Y.R., Hong, S.Y. & Choi, H.S., 2000. An analysis of second-order wave forces on floading bodies by using a higher-order boundary element method. Ocean Engineering, 28, pp.117-138. https://doi.org/10.1016/S0029-8018(99)00064-5
  13. Gerritsma, J. & Beukelman, W., 1967. Analysis of the modified strip theory for the calculation of ship motions and wave bending moments. International Shipbuilding Progress, 14(156), pp.319-337. https://doi.org/10.3233/ISP-1967-1415602
  14. Hong, S.Y. & Choi, H.S., 1995. Analysis of steady and unsteady flow around a ship using a higher-order boundary element method. Journal of the Society of Naval Architects of Korea, 32(1), pp. 32-57.
  15. Jo, H.J., Lee, C.H., Kim, I.C. & She, K.Y., 1997. A study on the steady drift forces on barge. Bulletin of the Korean Society of Fisheries Technology, 33(1), pp. 38-45.
  16. Kashiwagi, M., Endo, K. & Yamaguchi, H., 2005. Wave drift forces and moments on two ships arranged side by side in waves. Ocean Engineering, 32, pp.529-555. https://doi.org/10.1016/j.oceaneng.2004.09.005
  17. Kim, Y., Kim, K.H., Kim, J.H., Kim, T., Seo, M.G. & Kim, Y., 2011. Time-domain analysis of nonlinear motion responses and structural loads on ships and offshore structures: development of WISH program. International Journal of Naval Architecture and Ocean Engineering, 3, pp. 37-52. https://doi.org/10.2478/IJNAOE-2013-0044
  18. Korvin-Kroukovsky, B.V. & Jacobs, W.R., 1957. Pitching and heaving motions of a ship in regular waves. Transactions of Society of Naval Architects and Marine Engineers, 65.
  19. Kudoh, K., 1977. The drifting force acting on a three-dimensional body in waves. Journal of Society of Naval Architectures in Japan, 141, pp.71-77. https://doi.org/10.2534/jjasnaoe1968.1977.71
  20. Lee, H.Y. & Kwak, Y.K., 1997. Analysis of added resistance of ship advancing in waves. Journal of Ocean Engineering and Technology, 11(2), pp. 91-99.
  21. Maruo, H., 1960. The drift of a body floating on waves. Journal of Ship Research, 4(3), pp.1-10.
  22. Nam, B.W., Kim, Y., Yang, K.K., Hong, S.Y. & Sung, H.G., 2012. Numerical study on wave-induced motion of offshore structures using cartesian-grid based flow simulation method. Journal of Ocean Engineering and Technology, 26(6), pp. 7-13. https://doi.org/10.5574/KSOE.2012.26.6.007
  23. Nakos. D.E., 1990. Ship wave patterns and motions by three dimensional rankine panel method. Ph. D Thesis, Massachusetts Institute of Technology.
  24. Oh, S., Jung, D.H., Cho, S.K., Nam, B.W. & Sung, H.G., 2018. Development and application of rankine source method for three dimensional frequency domain analysis of hydrodynamic responses. Proceedings of the Annual Meeting the Society of Naval Architects of Korea, Jeju, Republic of Korea, 24-25 May 2018, pp.680-684.
  25. Park, J.C., Chun, H.H. & Song, K.J., 2003. Numerical simulation of body motion using a composite grid system. Journal of the Society of Naval Architects of Korea, 45(5), pp.36-42.
  26. Pinkster, J.A. & van Oortmerssen, G., 1977. Computation of the first and second order wave forces on oscillating bodies in regular waves, Proceeding of Second International Conference on Numerical Ship Hydrodynamics, pp. 136-159.
  27. Salvesen, N., Tuck, E.O. & Faltinsen, O.M., 1970. Ship motions and sea loads. Transactions of Society of Naval Architects and Marine Engineers, 78, pp.250-279.
  28. Sclacounos, P.D., Kring D.C., Huang, Y., Mantzaris D.A., Kim, S. & Kim, Y., 1997. A computational method as an advanced tool of ship hydrodynamic design. Transactions of Society of Naval Architects and Marine Engineers, 105, pp. 375-397
  29. Yang, J.H., Song, K.J. & Chun, H.H., 2001. Computation of the hydrodynamic coefficients of ships in waves by Rankine source panel methods. Journal of the Society of Naval Architects of Korea, 38(1), pp.43-51.
  30. Zhang, X.T., Khoo, B.C. & Lou, J., 2006. Wave propagation in a fully nonlinear numerical wave tank: a desingularized method. Ocean Engineering, 33, pp. 2310-2331. https://doi.org/10.1016/j.oceaneng.2005.11.002