Numerical Simulation of the Water Column Collapse using SPH Method

SPH법을 이용한 물기둥 붕괴의 수치모의

Kim, Nam-Hyeong;Ko, Haeng-Sik
김남형;고행식

  • Published : 20070500

Abstract

Smoothed Particle Hydrodynamics (SPH) method is a meshless Lagrangian method using the particle, which is different from previous methods using the mesh. The Navier-Stokes equations for the incompressible viscous flow is applied. In this study, the numerical analysis of two-dimensional water column collapse by SPH method is carried out, and the result is compared with Martin and Moyce's experimental data and the result of MPS and SMAC method. And a good result is obtained. The phenomenon of water column collapse by using the particle and velocity vector is also visualized, and the sensitive analysis on the artificial viscosity a-term and particle number is performed. Finally it is shown that this method could be applied to the breaking phenomenon of hydraulic structures such as dam break.

Keywords

References

  1. 김남형, 김남국(2000) SMAC법을 이용한 물기등 붕괴의 가시화, 한국수자원학회 논문집, 한국수자원학회, 제34권, 제6호,pp.605-615
  2. Batchelor, G.K. (1967) An Introduction to Fluid Dynamics, Cambridge University Press
  3. Dalrymple, R.A. and Knio, O. (2000) SPH Modeling of water waves, Proc. Coastal Dynm., Lund 2000
  4. Gingold, R.A and Monaghan, J.J. (1977) Smoothed particle hydrodynamics: theory and application to non-spherical stars, Mon. Not. R. Astr. Soc., 181, pp. 375-389 https://doi.org/10.1093/mnras/181.3.375
  5. Gomez-Gesteira, M. and Dalrymple, R.A. (2004) Using a 3D SPH method for wave impact on a tall structure, Journal of Waterway Port, Coastal Ocean Eng, Vol. 130, No.2, pp. 63-69 https://doi.org/10.1061/(ASCE)0733-950X(2004)130:2(63)
  6. Koshizuka, S. and Oka, Y. (1996) Moving-particle semi-implicit method for fragmentation of incompressible fluid, Nucl. Sci. Eng., Vol. 123, pp. 421-434 https://doi.org/10.13182/NSE96-A24205
  7. Martin, J.C. and Moyce. W.J. (1952) An experimental study of the collapse of liquid columns on a rigid horizontal plane, Philos. Trans. R. Soc. London Ser. A. pp. 312-324
  8. 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
  9. Monaghan, J.J. and Gingold, R.A. (1983) Shock simulation by the particle method SPH, Journal of Computational Physics, 52, pp. 374-389 https://doi.org/10.1016/0021-9991(83)90036-0
  10. Monaghan, J.J. and Lattanzio, J.C. (1985) a refined particle method for astrophysical problem, Astronomy and Astrophysics, 149, pp. 135-143
  11. Morris, J.P., Fox, P.J., and Zhu, Y. (1997) Modeling low reynolds number incompressible flows using SPH, Journal of Computational Physics, 136, pp. 214-226 https://doi.org/10.1006/jcph.1997.5776
  12. Shao, S.D. and Gotoh, H. (2005) Turbulence particle models for tracking free surface. Journal of Hydraulic Research, Vol.43, No.3. pp. 276-289 https://doi.org/10.1080/00221680509500122
  13. Shao, S.D. and Lo, E.Y.M. (2003) Incompressible SPH method for simulating Newtonian and Non-Newtonian flows with a free Surface, Advance Water Resources, Vol. 26, No.7, pp. 787-800 https://doi.org/10.1016/S0309-1708(03)00030-7