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

Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회)
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Internal Wave-Maker using Momentum Source Term of RANS Equation Model

RANS 방정식의 운동량 원천항을 이용한 내부조파

  • Published : 2009.04.30
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Abstract

For RANS equation model using VOF scheme Lin and Liu (1999) developed internal wave-maker method to generate target wave trains by using designed mass source functions of the continuity equation. By using this method studies on various numerical wave experiments has been achieved without the problem caused by wave reflection due to an external wave-maker. In this study, the wave-maker method to generate target wave trains by using a momentum source function was proposed. The computational results obtained by applying the mass and momentum source functions into FLUENT were compared with each other. To see its applicability, the hydraulic experiment of Luth et al. (1994) were numerically simulated and their measurements are compared with the computations, and the vertical variations of computed results were shown and investigated.

Lin and Liu(1999)는 VOF기법을 도입한 RANS 방정식 모형을 이용하여 목표 파형을 조파할 수 있도록 연속방정식의 질량 원천항을 이용하는 내부조파기법을 제안하였다. 이로부터 외부조파에 의한 영역 내 재반사 문제가 해결되어 RANS 방정식 모형을 이용한 파랑수치실험이 수행되어 발표되어 왔다. 본 연구에서는 RANS 방정식 모형의 운동량 원천항을 이용한 내부조파기법을 사용하여 목표 파형을 조파할 수 있도록 하였다. FLUENT의 사용자 정의함수를 이용하여 두 조파방법에 대해 수치실험하고 비교하였다. 그리고 조파기법의 적용성을 살펴 보기 위해 Luth et al.(1994)의 수리실험을 수치모의하고 그 결과를 비교하였으며, 수심방향 변화를 보이는 수치 모의 결과들을 제시하고 고찰하였다.

Keywords

References

  1. Chen, Q., Kirby, J.T., Dalrymple, R.A. and Shi, F., Thornton, E.B. (2003). Boussinesq modeling of longshore current. Journal of Geophysical Research, 108(C11), 26-1-26-18
  2. Engsig-Karup, A.P., Hesthaven, J.S., Bingham, H.B., Madsen,P.A. (2006). Nodal DG-FEM solution of high-order Boussinesq-type equations. J Eng Math, 56, 351-370 https://doi.org/10.1007/s10665-006-9064-z
  3. FLUENT Inc. (2003). FLUENT 6.1 User’s Guide
  4. Garcia, N., Lara, J.L. and Losada, I.J. (2004). 2-D numericalanalysis of near-field flow at low-crested permeable breakwaters. Coastal Engineering, 51, 991-1020 https://doi.org/10.1016/j.coastaleng.2004.07.017
  5. Gobbi, M.F. and Kirby, J.T. (1999). Wave evolution over submerged sills: test of a high-order Boussinesq model. Coastal Engineering, 57-96
  6. Issa, R. I. (1986). Solution of Implicitly Discretized Fluid Flow Equations by Operator Splitting. J. Comput. Phys., 62, 40-65 https://doi.org/10.1016/0021-9991(86)90099-9
  7. Lara, J.L., Garcia, N. and Losada, I.J. (2006). RANS modelling applied to random wave interaction with submerged permeable structures. Coastal Engineering, 53, 396-417
  8. Launder, B.E., Reece, G.J. and Rodi, W. (1975). Progress in the Development of a Reynolds -Stress Turbulence Closure. Journal of Fluid Mechanics, 68(3), 537-566 https://doi.org/10.1017/S0022112075001814
  9. Lee, C., Cho, Y.-S. and Yum, K. (2001). Internal generation of waves for extended Boussinesq equations. Coastal Engineering, 42, 155-162 https://doi.org/10.1016/S0378-3839(00)00056-9
  10. Lee, C. and Suh, K.D. (1998). Internal generation of waves for time-dependent mild slope equations. Coastal Engineering, 34, 35-57 https://doi.org/10.1016/S0378-3839(98)00012-X
  11. Lin, P. and Liu, P.L.-F. (1998). A numerical study of breakingwaves in the surf zone. Journal of Fluid Mechanics, 359, 239-264 https://doi.org/10.1017/S002211209700846X
  12. Lin, P. and Liu, P.L.-F. (1999). Internal wave-maker for Navier-Stokes equations models. J. Waterw. Port Coast. Ocean Eng., 125 (4), 207-215 https://doi.org/10.1061/(ASCE)0733-950X(1999)125:4(207)
  13. Lin, P. and Liu, P.L.-F. (2004) Discussion of "ertical variation of the flow across the surf zone' "Coast. Eng. 45 (2002) 169-98" Coastal Engineering, 50, 161-64 https://doi.org/10.1016/j.coastaleng.2003.09.002
  14. Luth, H.R., Klopman, G., Kitou, N. (1994). Kinematics of waves breaking partially on an offshore bar; LDV measurements of waves with and without a net onshore current. Report H-1573, Delft Hydraulics, 40
  15. Nwogu, O. (1993). An alternative form of the Boussinesq equations for nearshore wave propagation. J. Waterway, Port, Coast. and Ocean Eng. 199, 618-638
  16. Pengzhi, L. and Karunarathna, S.A.S. (2007). Numerical study of solitary wave interaction with porous breakwaters. J. Waterw. Port Coast. Ocean Eng., 133 (5), 352-363 https://doi.org/10.1061/(ASCE)0733-950X(2007)133:5(352)
  17. Wei, G., Kirby, J.T., Sinha, A. (1999). Generation of waves in Boussinesq models using a source function method. Coastal Engineering, 36, 271-299 https://doi.org/10.1016/S0378-3839(99)00009-5
  18. Youngs, D.L. (1982). Time-dependent multi-material flow with large fluid distortion. In K. W. Morton and M. J. Baines, editors, Numerical Methods for Fluid Dynamics. Academic Press
  19. Youngs, D.L. (1982). Time-dependent multi-material flow with large fluid distortion. In K. W. Morton and M. J. Baines, editors, Numerical Methods for Fluid Dynamics. Academic Press