Numerical Simulation of Fully Nonlinear Free-Surface Flow around Seawall with Slope

경사면을 갖는 월파형 구조물 주위의 비선형성 자유표면류의 수치 시뮬레이션

  • Park, Jong-Chun (Department of Naval Architecture and Ocean Engineering, Pusan National University) ;
  • Park, Dong-In (Department of Naval Architecture and Ocean Engineering, Pusan National University) ;
  • Lee, Sang-Beom (Department of Naval Architecture and Ocean Engineering, Pusan National University) ;
  • Hong, Gi-Yong (Ocean Development System Division, KORDI) ;
  • Sun, Sung-Bu (Research Institute of Medium and Small Slipbuilding)
  • Published : 2005.06.30

Abstract

Wave overtopping is one of the most important processes for the design of seawalls. The term "wave overtopping" is used here to refer to the processes where waves hit a sloping structure run up the slope and, if the crest level of the slope is lower than the highest run up level, overtop the structure. Wave overtopping is dependent on the processes associated with breaking wave. A numerical model based on Navier-Stokes equation and the Marker-density function for predicting wave overtopping of coastal structures is developed in this paper. In order to evaluate the present model, two simulations are tested. One is overflow without waves at vertical seawall, and the other is wave overtopping at sloping seawalls.

Keywords

References

  1. 박종천 (2003), '해양환경공학의 다목적 시뮬레이션을 위한 수치파랑수조 기술', 한국해양공학회지, 제17권, 제4호, pp 174-180
  2. Chadwick, A. and Morfett, J. (1998), Hydraulics in Civil and Environmental Engineering, London and New York, E and FN SPON
  3. Dean, R.G. and Dalrymple, R.A. (1991), Water Wave Mechanics for Engineers and Scientists, World Scientific Publ
  4. Dodd, N. (1998). 'Numerical Model of Wave Run-up, Overtopping, and Regeneration', Journal of Wateway, Port, Coastal and Ocean Engineering, Vol 124, No 2, pp 73-81 https://doi.org/10.1061/(ASCE)0733-950X(1998)124:2(73)
  5. Hirt, C.W. and Nichols, B.D. (1981), 'Volume of Fluid (YOF) Method for Dynamics of Free Boundaries', Journal of Comp. Phys., Vol 39, pp 201-225 https://doi.org/10.1016/0021-9991(81)90145-5
  6. Hu, K.C., Mingham, G. and Causon, D.M. (2000), 'Numerical Simulation of Wave Overtopping of Coastal Structure Using the Non-linear Shallow Water Equation', Coastal Engineering, Vol 41, pp 433-465 https://doi.org/10.1016/S0378-3839(00)00040-5
  7. Johnson, B.D., Kobayashi, N. and C.ot, D.T (1996), 'Formulation and Validation of Vertically 2-D Shallow-water Model', Proe. 25th Intentional Conference in Coastal Engineering, ASCE, pp 551-564
  8. Karambas, T.V. and Koutitas, C. (1992), 'A Breaking Wave Propagation Model Based on The Boussinesq Equations', Coastal Engineering, Vol 18, pp 1-19 https://doi.org/10.1016/0378-3839(92)90002-C
  9. Kim, M.H., Niedzwecki, J.M., Roesset, J.M., Park, J.C. Tavassoli, A. and Hong, S.Y. (2000), 'Fully Nonlinear Multi-Directional Wave Simulations By 3D Numerical Wave Tanks', J. of OMAE, ASME Transaction, Vol 123, pp 124-133
  10. Kothe, D.B., Mjolsness, R.C. and Torrey, M.D. (1991), RIPPLE, A Computer Program For Incompressible Flows With Free Surfaces, Los Alamos, NM, USA, Los Alamos Scientific Report, Report LA-12007-MS
  11. Leonard, A. (1974), 'Energy Cascade in Large-Eddy Simulation of Turbulent Fluid Flow', Adv. Geophys., Vol 18 A, pp 237-248
  12. Lin, P. (1998), Numerical Modelling of Breaking Waves, Cornell University
  13. Lin, P.L.-F. and Lui, P. (1997), A Numerical Model of Breaking Waves, The Volume of Fluid Method, Newark, Delware, Centre for Applied Coastal Research, Ocean Engineering Laboratory, University of Delaware
  14. Lin, P.L.-F. and Lui, P. (1999), 'Numerical Modelling of Wave Interaction With Porous Structures', Waterway, Port, Coastal and Ocean Engineering, Vol 125, No 6, pp 322-330 https://doi.org/10.1061/(ASCE)0733-950X(1999)125:6(322)
  15. Lin, P. and Lui, P.L.-F. (1998), 'A Numerical Study of Breaking Waves in The Surf Zone', Journal of Fluid Mechnics, Vol 359, pp 239-264 https://doi.org/10.1017/S002211209700846X
  16. Lin, P. and Lui, P.L.-F. (1999), 'Internal Wave-Maker for Navier-Stokes Equations Models', Waterway, Port, Coastal and Ocean Engineering, Vol 125, No 4, pp 207-215 https://doi.org/10.1061/(ASCE)0733-950X(1999)125:4(207)
  17. Miyata, H. and Park, J.C. (1995), Ch.5 Wave Breaking Simulation, Potential Flow of Fluids, ed. M. Rahman, Computational Mechanics Publications, UK., pp 149-176
  18. Nichols, B.D., Hirt, C.W. and Hotchkiss, R.S. (1980), SOLA- VOF: A Solution Algorithm for Transient Fluid Flow with Multiple Free Boundaries, Los Alamos, CA, USA, Los Alamos Scientific Report, Report LA-8355
  19. Orszang, S.A. and Patterson, G.S. (1972), 'Numerical Simulation of Three-Dimensional Homogeneous Isotropic Turbulence.' Phys. Rev. Lett., Vol 28, pp 76-69 https://doi.org/10.1103/PhysRevLett.28.76
  20. Park, J.C., Kim, M.H. and Miyata, H. (1999), 'Fully Nonlinear Free-Surface Simulations By A 3D Viscous Numerical Wave Tank', Int. J. for Numerical Methods in Fluids, Vol 29, pp 685-703 https://doi.org/10.1002/(SICI)1097-0363(19990330)29:6<685::AID-FLD807>3.0.CO;2-D
  21. Peregrine, D.H. (1967), 'Long Waves on a Beach', J. Fluid Mech. Vol 27, No 4, pp 815-827 https://doi.org/10.1017/S0022112067002605
  22. Rogallo, R.S. (1981), Numerical Experiments in Homogeneous Turbulence, NASA, Technical Rep. TM81315
  23. Saville, T. (1995), Laboratory Data on Wave Run-up and Overtopping on Shore Structures, Dayton, Ohio, U.S. Army, Beach Erosion Board, Document Service Centre, No 64
  24. Schaffer, H.A., Madsen, P.A. and Deigaard, R. (1993), 'A Boussinesq Model for Waves Breaking in Shallow Water', Coastal Engineering, Vol 20, pp 185-202 https://doi.org/10.1016/0378-3839(93)90001-O
  25. Smagorinsky, J. (1963), General Circulation Experiments with the Primitive Equations. I. The Basic Experiment, Monthly Weather Review 91, pp 99-164 https://doi.org/10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2
  26. Soliman, A. Raslan, M.S., and Reeve, D.E. (2003), 'Numerical Simulation of Wave Overtopping Using Two Dimensional Breaking Wave Model', Coastal Engineering VI, Cadiz, Spain, pp 439-447
  27. Sussman, M. Smereka, P. and Osher, S. (1994), 'A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow', J. of Comp. Physics, Vol 114 , pp 272-280
  28. Zeit, J.A. (1991). 'The Run-up of Non Breaking and Breaking Solitary Waves', Coastal Engineering Vol 15, pp 205-246 https://doi.org/10.1016/0378-3839(91)90003-Y