Volume 35 Issue 11
Nov.  2009
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Long Liping, Zhang Jianyu, Zhao Libinet al. Correction of conservative smoothing approach used in SPH method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(11): 1335-1338. (in Chinese)
Citation: Long Liping, Zhang Jianyu, Zhao Libinet al. Correction of conservative smoothing approach used in SPH method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(11): 1335-1338. (in Chinese)

Correction of conservative smoothing approach used in SPH method

  • Received Date: 03 Nov 2008
  • Publish Date: 30 Nov 2009
  • The conservative smoothing approach (CSA) is a kind of methods which is very efficient for eliminating the instability of traditional smoothed particle hydrodynamics (SPH) method. Research discovered that total physical quantities of system (such as mass, moment and energy) were no longer strictly conservative in each time step with the use of CSA. The calculated value fluctuated around the theoretical value with time and affected the result precision. Correction of CSA(CCSA) was proposed. Used CSA to smooth the physical variables obtained from SPH governing equations and then used CCSA to weighted average the change of the physical variables to each neighbor node, thus ensured the conservation of total physical quantities of system (such as mass, moment or energy) in each time step. Owing to reduce of the excessive smoothness which CSA acted on physical variables, calculation accuracy was improved. Physical meaning, theoretical derivation and numerical test show the efficiency of this correction.

     

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  • [1] Libersky L D, Petscheck A G. Smooothed particle hydrodynamics with strength of materials Trease H E,Fritts M F, Crowley W P. Proceedings of the Next Free Lagrange Conference.Heidelberg:Springer-Verlag,1991: 248-257 [2] Liu M B, Liu G R, Lam K Y. Smoothed particle hydrodynamics for numerical simulation of underwater explosions[J].Computational Mechanics,2003,30(2):106-118 [3] Liu M B, Liu G R, Zong Z, et al. Computer simulation of high explosive explosion using smoothed particle hydrodynamics methodology [J].Computers & Fluids,2003,32(3):305-322 [4] Limido J, Espinosa C, Salaim M, et al. SPH method applied to high speed cutting modeling[J].International Journal of Mechanical Sciences, 2007,49(7): 898-908 [5] Swegle J W, Hicks D L, Attaway S W. Smoothed particle hydrodynamics stability analysis[J].Journal of Computational Physics, 1995,116(1): 123-134 [6] Guenther C, Hicks D L, Swegle J W. Conservative smoothing versu artificial viscosity .SAND94-1853,1994 [7] Swegle J W,Attaway S W, Heinstein M W, et al. An analysis of smoothed particle hydrodynamics .SAND93-2513,1994 [8] Balsara D S. Von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms [J].Journal of Computational Physics,1995,121(2):357-372 [9] Randles P W, Libersky L D. Smoothed particle hydrodynamics: some recently improvements and applications[J].Computer Methods in Applied Mechanics and Engineering, 1996, 139(1/2/3/4):375-408 [10] 龙丽平,张建宇,丁桦,等.模拟弹塑性碰撞的修正SPH方法[J].北京航空航天大学学报, 2007,33(6):658-662 Long Liping,Zhang Jianyu, Ding Hua, et al.Simulation of elastic-plastic impact with modified smoothed particle hydrodynamics method[J].Journal of Beijing University of Aeronautics and Astronautics, 2007,33(6):658-662(in Chinese)
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