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SPH법을 이용한 해안에서의 2차원 비선형파 수치시뮬레이션

Numerical Simulation of Two-dimensional Nonlinear Waves on Beaches Using a Smoothed Particle Hydrodynamics Method

  • 김철호 (인하대학교 대학원 조선해양공학과) ;
  • 이영길 (인하대학교 기계공학부 조선해양공학) ;
  • 정광열 (인하대학교 대학원 조선해양공학과)
  • Kim, Cheol-Ho (Dept. of Naval Architecture and Ocean Engineering, Graduate School of Inha University) ;
  • Lee, Young-Gill (Dept. of Naval Architecture and Ocean Engineering, Inha University) ;
  • Jeong, Kwang-Leol (Dept. of Naval Architecture and Ocean Engineering, Graduate School of Inha University)
  • 투고 : 2010.01.27
  • 심사 : 2010.07.02
  • 발행 : 2010.08.20

초록

In this paper, wave breakers which occur in two dimensional coasts are simulated using a SPH(Smoothed Particle Hydrodynamics) method which represents the movement of fluidic physical volume with particles. As continuative fluid is approximated to the particles, the simulations are performed using fully Lagrangian method without any grid system. Two-dimensional Navier-Stokes equations and continuity equation are used for the numerical simulations. To generate incident waves, a piston type wavemaker is employed. The accuracy of the wave which is numerically generated by the wavemaker is verified by comparing with analytical results. The computations are carried out with various wave heights and slopes. The wave patterns generated through the numerical simulations are compared with several existing experimental and computational results. Agreement between the experimental data and the computation results is comparatively good. Also, the breaker depth index and the breaker height index from the present calculations are compared with the existing experimental results, and the tendency is very similar.

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참고문헌

  1. Batchelor, G.K., 1967, An Introduction to Fluid Dynamics, Cambridge University Press.
  2. Galvin, C.J., 1968, “Breaker Type Classification on Three Laboratory Beaches,” Journal of Geophysical Research 73.
  3. Gomez-Gesteira, M. and Dalrymple, R.A., 2004, “Using a Three-Dimensional Smoothed Particle Hydrodynamics Method for Wave Impact on a Tall Structure,” Journal of Waterway, Port, Coastal and Ocean Engineering, Vol. 130, No. 2, pp. 63-69. https://doi.org/10.1061/(ASCE)0733-950X(2004)130:2(63)
  4. Hino, T., Miyata, H., Kajitani, H. and Kanai, M., 1984, “A Numerical Solution Method for Nonlinear Shallow Water Waves (Second Report),” Journal of the Society of Naval Architecture of Japan, Vol. 154, pp. 29-39.
  5. Hughes, S.A., 1993, Physical Models and Laboratory Techniques in Coastal Engineering, World Scientific Publishing Co. Pte. Ltd. 7.4.1
  6. Lee, B.H., Park, J.C., Jeong, S.J., Ryu, M.C., Kim, Y.S. and Kim, Y.H., 2007, “Numerical Simulation of Non-linear Free-surface Motions Using Moving Particle Semi-implicit(MPS) Method”, Journal of Ocean Engineering and Technology, Vol. 21, No. 6, pp 53-58.
  7. Lee, Y.G. and Heo, J.K., 2005, “Simulating Nonlinear Waves on the Free Surface in Surf Zones with Two-Dimensional Sloping Beach,” Ocean Engineering, Vol. 32, pp. 57-84. https://doi.org/10.1016/j.oceaneng.2004.01.008
  8. Liu, G. and Liu, M., 2003, Smoothed Particle Hydrodynamics. World Scientific Publishing Co. Pte. Ltd. 3.3.1, 3.3.2, 5.
  9. Monaghan, J.J., 1988, “An Introduction to SPH,” Computer Physics Communications, Vol. 48, pp. 89-96. https://doi.org/10.1016/0010-4655(88)90026-4
  10. Monaghan, J.J., 1992, “Smoothed Particle Hydrodynamics,” Annual review of astronomy and astrophysics, 30, pp. 543-574. https://doi.org/10.1146/annurev.aa.30.090192.002551
  11. Monaghan, J.J., 1994, “Simulating Free Surface Flows with SPH,” Journal of Computational Physics, 110, pp. 399-406. https://doi.org/10.1006/jcph.1994.1034
  12. Monaghan, J.J., 2000, “SPH without a Tensile Instability,” Journal of Computational Physics, 159, pp. 290-311. https://doi.org/10.1006/jcph.2000.6439
  13. Monaghan, J.J. and Kos, A., 1999, “Solitary Waves on a Cretan Beach,” Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 125, pp. 145-154. https://doi.org/10.1061/(ASCE)0733-950X(1999)125:3(145)
  14. Smith, E.R. and Kraus, N.C., 1990, “Laboratory Study on Macro-Features of Wave Breaking Over Bars and Artificial Reefs,” Technical Report CERC-90-12, US Army Engr., WES, Vicksburg, Mississippi, pp. 307-323.
  15. Wit,L., 2006, “Smoothed Particle Hydrodynamics A Study of the possibilities of SPH in hydraulic engineering,” MSc Thesis, Delft University of Technology.