Journal of Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회논문집)

Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회)
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Control of Short-period and Solitary Waves Using Two-rowed Impermeable Rectangular Submerged Dike

2열 불투과성 사각형 잠제를 이용한 단주기파랑 및 고립파의 제어

  • Lee, Kwang-Ho (Department of Civil Engineering, School of Engineering, Nagoya University) ;
  • Jung, Sung-Ho (Department of Civil Engineering, Korea Maritime University) ;
  • Ha, Sun-Wook (Department of Civil Engineering, Korea Maritime University) ;
  • Kim, Do-Sam (Department of Civil Engineering, Korea Maritime University)
  • 이광호 ((일)나고야대학교 공학연구과 사회기반공학) ;
  • 정성호 (한국해양대학교 토목공학과) ;
  • 하선욱 (한국해양대학교 토목공학과) ;
  • 김도삼 (한국해양대학교 토목공학과)
  • Received : 2010.01.28
  • Accepted : 2010.07.26
  • Published : 2010.08.31
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Abstract

This study numerically investigates the wave control of 2-rowed Impermeable Rectangular Submerged Dike(IRSD) with an object of how to control short-period and solitary waves simultaneously based on the Bragg resonance phenomenon that elevates the wave control performance. The boundary integral method using Green formula and the 3-D one-field Model for immiscible TWO-Phase flows (TWOPM-3D) by 3-D numerical wave flume have been used for the numerical predictions for short-period and solitary waves, respectively. These numerical models were verified through the comparisons with the previously published numerical results by other researchers. Through the parametric tests of numerical experiments for short-period waves, an optimum model of 2-rowed IRSD of a lowest transmission coefficient has been found. Furthermore, the performances of 3-D wave control for solitary waves were evaluated for the various free board, crown widths and gap distance between dikes, and have been compared with those of a single-rowed IRSD. Numerical results show that a 2-rowed IRSD with a less cross sectional area than 1-rowed one improves the wave attenuation performances when it is compared to that of single-rowed IRSD. Within the test frequency ranges of the numerical simulations conducted in this study, 2-rowed IRSD with an optimum gap distance shows an outstanding improvement of the wave attenuation up to 58% compared to that of single-rowed IRSD.

본 연구에서는 단주기파랑과 고립파를 동시에 저감시키기 위해 Bragg공진현상으로부터 입사파랑에너지를 포획하여 배후로 전달되는 파랑에너지의 저감을 도모할 수 있는 2열 불투과성 사각형 잠제(이하에서는 2열잠제로 칭함)의 파랑제어능을 수치적으로 검토하였다. 단주기파랑에 대해서는 Green공식에 기초한 경계적분방정식법을, 고립파에 대해서는 3차원수치파동수로를 이용하는 3차원혼상류해석법을 각각 적용하였고, 기존의 수치해석결과 및 고립파의 특성과 비교·분석하여 본 수치해석법의 타당성을 검증하였다. 이로부터 단주기파랑의 제어에 있어서 최소반사율을 나타내는 2열잠제의 조건을 검토하였고, 고립파에 대해서는 2열잠제의 천단고, 천단폭, 이격거리 및 입사파고 등을 변화시켜 1열 불투과성 사각형 잠제(이하에서는 1열잠제로 칭함)에 의한 결과와의 대비를 통하여 고립파의 3차원파랑제어특성을 검토하였다. 수치해석결과는 1열잠제보다 단면적이 훨씬 적은(천단고는 동일함) 2열잠제가 단주기파랑 및 고립파를 훨씬 효율적으로 제어하며, 특히 본 연구의 조건하에서 2열잠제의 경우가 1열잠제에 비해 약 58%정도의 부가적인 파고저감효과를 나타내었다.

Keywords

References

  1. 국립방재연구소 (1998). 동해안에서의 쯔나미 위험도 평가. 국립방재연구소, 연구보고서, NIDP-98-06.
  2. 김도삼 (2000). 다열 잠제에 의한 파랑의 전달율과 반사율. 대한토목학회논문집, 제 20권, 제 I-B호, pp. 85-94.
  3. 김도삼, 김지민, 이광호 (2007a). 동해연안에 영향을 미친 지진해일의 수치시뮬레이션, 한국해양공학회지, 제 21권, 제 6호, pp. 72-80.
  4. 김도삼, 김지민, 이광호, 손병규 (2007b). 일본 지진공백역에서의 지진해일이 우리나라의 남동연안에 미치는 영향분석. 한국해양공학회지, 제 21권, 제 6호, pp. 64-71.
  5. 김도삼, 이광호, 허동수, 김정수 (2001). VOF법에 기초한 불투과 잠제 주변파동장의 수치해석. 대한토목학회논문집, 제 21권, 제 5-B호, pp. 551-560.
  6. 김도삼, 정성호, 이봉재, 김인철 (2000). 경사입사파동장중의 수중다열잠제에 의한 Bragg반사. 대한토목학회논문집, 제 20권 제 5-B호, pp. 737-745.
  7. 윤덕영, 허동수, 김도삼, 강주복 (1995). 장주기파의 효율적인 제어를 위한 이열잠제의 최적간격. 한국항만학회지, 제 9권, 제 2호, pp. 51-64.
  8. 이광호, 김창훈, 정성호, 김도삼 (2008a). 고립파(지진해일) 작용하의 수중방파제에 의한 파랑제어. 대한토목학회논문집, 제 28권 제 3B호, pp. 323-334.
  9. 이광호, 이상기, 신동훈, 김도삼 (2008b). 복수연직주상구조물에 작용하는 비선형파력과 구조물에 의한 비선형파랑변형의 3차원해석, 한국해안.해양공학회논문집, 제 20권, 제 1호, pp. 1-13.
  10. 이광호, 김도삼, Harry, Y. (2008c). 단파의 전파에 따른 수위 및 유속변화의 특성에 관한 연구, 대한토목학회논문집, 제 28권 제 5B호, pp. 575-589.
  11. 허동수, 김도삼 (2003). VOF법에 의한 불규칙파동장에 있어서 불투과잠제에 의한 파랑에너지의 변형특성. 한국해안.해양공학회지, 제 15권, 제 4호, pp. 207-213.
  12. Amsden, A.A. and Harlow, F.H. (1970). The SMAC method: a numerical technique for calculating incompressible fluid flow. Los Alamos Scientific Laboratory Report LA-4370, Los Alaomos, N.M..
  13. Brorsen, M. and Larsen, J. (1987). Source generation of nonlinear gravity waves with boundary integral equation method. Coastal Engrg., Vol. 11, pp. 93-113. https://doi.org/10.1016/0378-3839(87)90001-9
  14. Chang, K.A., Hsu, T.J. and Liu, P.L.-F. (2001). Vortex generation and evolution in water waves propagating over a submerged rectangular obstacle : Part I. solitary waves. Coastal Engrg., Vol. 44, pp. 13-26. https://doi.org/10.1016/S0378-3839(01)00019-9
  15. Cho, Y.S. and Lee, H.J. (2002). Numerical simulations of 1983 central East Sea tsunami at Imwon: 1. Propagation across the east sea. J. of Korea Water Resources Association, Vol. 34, No. 4, pp. 427-436.
  16. Cho, Y.S., Lee, J.I., Lee, J.K. and Yoon, T.H. (1995). Bragg reflection of shallow-water waves. J. of Korean Society of Civil Engineers, Vol. 15, No. 6, pp. 1823-1832.
  17. Dean, R.G. and Dalrymple, R.A. (1991). Water wave mechanics for engineers and scientists. World Scientisfic.
  18. Dong, C.M. and Huang, C.J. (1999). Vortex generation in water waves propagating over a submerged rectangular dike. Proc. 9th Intl. Offshore and Polar Engrg. Conf., Vol. III, pp. 388-395.
  19. Fenton. J. (1972). A ninth-order solution for the solitary wave: Part 2. J. of Fluid Mech., Vol. 53, pp. 257-271. https://doi.org/10.1017/S002211207200014X
  20. Goring, D.G. and Raichlen, F. (1990). Propagation of long waves onto shelf. J. of Waterway, Port, Coastal, and Ocean Engrg, ASCE, Vol. 118, pp. 43-61.
  21. Grimshaw, R. (1971). The solitary wave in water of variable depth: Part 2. J. of Fluid Mech., Vol. 46, pp. 611-622. https://doi.org/10.1017/S0022112071000739
  22. Hinatsu, M. (1992). Numerical simulation of unsteady viscous nonlinear waves using moving grid system fitted on a free surface. J. of Kansai Soc. Nav. Archit. Japan, No. 217, pp. 1-11.
  23. Hirt, C.W and Nichols, B.D. (1981). Volume of fluid(VOF) method for the dynamics of free boundaries. J. of Comput. Phys., Vol. 287, pp. 299-316.
  24. Huang, C.J., Chang, H.H. and Hwun, H.H. (2003). Structural permeability effects on the interaction of a solitary wave and a submerged breakwater. Coastal Engrg., Vol. 49, pp. 1-24. https://doi.org/10.1016/S0378-3839(03)00034-6
  25. Huang, C.J. and Dong, C.M. (1999). Wave deformation and vortex generation in water waves propagating over a submerged dike. Coastal Engrg., Vol. 37, pp. 123-148. https://doi.org/10.1016/S0378-3839(99)00017-4
  26. Huang, C.J. and Dong, C.M. (2001). On the interaction of a solitary wave and a submerged dike. Coastal Engrg., Vol. 43, pp. 265- 286. https://doi.org/10.1016/S0378-3839(01)00017-5
  27. Kioka, W., Matsuno, T. and Minagawa, H. (1989). Scattering of surface waves by parallel submerged breakwaters. Proc. Coastal Engrg., JSCE, Vol. 36, pp. 549-553. https://doi.org/10.2208/proce1989.36.549
  28. Kirby, J.T. and Dalrymple, R.A. (1983). Propagation of obliquely incident water waves over a trench. J. of Fluid Mech., Vol. 133, pp. 47-63. https://doi.org/10.1017/S0022112083001780
  29. Lesieur, M., Metais, O., and Comte, P. (2005). Large-eddy simulations of turbulence. Cambridge Univ. Press, New York, N.Y..
  30. Lin, P. (2004) A numerical study of solitary wave interaction with rectangular obstacles. Coastal Engrg., Vol. 51, pp. 35-51. https://doi.org/10.1016/j.coastaleng.2003.11.005
  31. Liu, P.L.F. and Cho, Y.S. (1993). Bragg reflection of infragravity waves by sandbars. J. of Geophysical Research, Vol. 98, pp. 22,733-22,741. https://doi.org/10.1029/93JC02350
  32. Madsen, O.S. and Mei, C.C. (1969). The transformation of a solitary wave over an uneven bottom. J. of Fluid Mech., Vol. 39, pp. 781-791. https://doi.org/10.1017/S0022112069002461
  33. Manshinha, L. and Smylie, D.E. (1971). The displacement fields of incident faults. Bull. Seismol. Soc. Amer., Vol. 61, No. 5, pp. 1433-1440.
  34. Ohyama, T. and Nadaoka, K. (1991). Development of a numerical wave tank for analysis of non-linear and irregular wave field. Fluid Dyna. Res., Vol. 8, pp. 231-251. https://doi.org/10.1016/0169-5983(91)90045-K
  35. Seabra-Santntos, F.J., Renouard, D.P. and Temperville, A.M. (1987). Numerical and experimental study of the transformation of a solitary wave over a shelf or isolated obstacle. J. of Fluid Mech., Vol. 176, pp. 117-134. https://doi.org/10.1017/S0022112087000594
  36. Sohn, D.H., Ha, T.M. and Cho, Y.S. (2009). Distant tsunami simulation with corrected dispersion effects. Coastal Engrg. J., Vol. 51, No. 2, pp.123-141. https://doi.org/10.1142/S0578563409001977
  37. Smagorinsky, J. (1963). General circulation experiments with the primitive equations. Mon, Weath. Rev., Vol. 91, No. 3, pp. 99- 164. https://doi.org/10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2
  38. Tang, C.J. and Chang, J.H. (1998). Flow separation during solitary wave passing over submerged obstacles. J. of Hydraulic Engrg., ASCE, Vol. 124, No. 7, pp. 742-749. https://doi.org/10.1061/(ASCE)0733-9429(1998)124:7(742)
  39. Zhuang, F. and Lee, J.J. (1996). A viscous rotational model for wave overtopping over marine structure. Proc. 25th Int. Conf. Coastal Engrg., ASCE, pp. 2178-2191.