A Study of Normalized Smoothed Particle Hydrodynamics

정규 완화입자유동법의 고찰

  • Published : 2003.12.01

Abstract

Smoothed particle hydrodynamics, SPH, is a gridless Lagrangian technique which is a useful alternative numerical analysis method to simulate high velocity deformation problems as well as astrophysical and cosmological problems. The SPH method brings about some difficulties such as tensile Instability and stress oscillation. A new SPH method, so called normalized algorithm, was introduced to overcome these difficulties. In this paper we aimed to estimate this method and have developed an one-dimensional normalized SPH program. The high velocity impact model of an aluminum bar has been analysed by using the developed program and a commercial hydrocode, LS-DYNA. The obtained numerical results showed good agreement with the results of the same model in reference. The program also showed more stable results than those of LS-DYNA in stress oscillation. We hopefully expect that the developed one-dimensional normalized SPH program can be used to solve hydrodynamic problems especially for explosive detonation analysis.

Keywords

References

  1. L. B. Lucy, 'A numerical approach to the testing of the fission hypothesis', Astronomical Journal 82, pp.1013, 1977
  2. L. D. Libersky and A. G. Petsch, 'Smoothed Particle Hydrodynamics with Strength of Materials', New Mexico Institute of Mining and Technology report 87801
  3. P. W. Randles and L. D. Libersky, 'Smoothed particle hydrodynamics: Some recent improvements and applications', Comput. Methods Appl. Mech. Engrg. 139, pp.375~408, 1996
  4. G. R. Johnson, R. A. Stryk and S. R. Beissel, 'SPH for high velocity impact computations', Comput. Methods Appl. Mech. Engrg., Vol. 139, pp.347-373, 1996 https://doi.org/10.1016/S0045-7825(96)01089-4
  5. R. Vignjevic, J. Campbell and L. D. Libersky, 'A treatment of zero-energy modes in the smoothed particle hydrodynamics method', Comput. Methods Appl, Mech. Engrg., Vol. 184, pp.67 - 85, 2000 https://doi.org/10.1016/S0045-7825(99)00441-7
  6. J. Campbell, R. Vignievic and L. D. Libersky, 'A contact algorithm for smoothed particle hydrodynamics', Comput. Methods Appl. Mech. Engrg., Vol. 184, pp.49-65, 2000 https://doi.org/10.1016/S0045-7825(99)00442-9
  7. C. T. Dyka and R. P. Ingel, 'An approach for tension instability in smoothed particle hydrodynamics(SPH)', Computers & Structures Vol. 57. No.4, pp.573 - 580, 1995 https://doi.org/10.1016/0045-7949(95)00059-P
  8. P. W. Randles and L. D. Libersky, 'Normalized SPH with stress points', Int. J. Numer. Meth. Engng., Vol. 48, pp.1445-1462, 2000 https://doi.org/10.1002/1097-0207(20000810)48:10<1445::AID-NME831>3.0.CO;2-9
  9. J. J. Monaghan and R. A. Gingold, 'Shock simulation by the particle method SPH', Journal of Computational Physics, Vol. 52, pp.374-389, 1983 https://doi.org/10.1016/0021-9991(83)90036-0
  10. D. A. Fulk, 'A numerical analysis of smoothed particle hydrodynamics', Ph. D. Dissertation, the School of Engineering of the Air Force Institute of Technology, ADA284698, 1994