Study on Particle Inconsistency Problem in Smoothed Particle Hydrodynamics

Abstract:

In the smoothed particle hydrodynamics (SPH) method, the particle inconsistency problem significantly influences the calculation accuracy. In the present study, we investigate primarily the influence of the particle inconsistency on the first derivative of field functions and discuss the behavior of several methods of addressing this problem. In addition, we propose a new approach by which to compensate for this problem, especially for functions having a non-zero second derivative, that is less computational demanding, as compared to the finite particle method (FPM). A series of numerical studies have been carried out to verify the performance of the new approach.

• Periodical: Applied Mechanics and Materials (Volumes 94-96)
• Pages: 1638-1641
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.94-96.1638
• Online since: September 2011
• Authors: Gui Ming Rong, Hiroyuki Kisu
• Keywords: Consistency, Particle Inconsistency, Smoothed Particle Hydrodynamic (SPH)

References

[1] J.J. Monaghan, in: Annu. Rev. Astron. Astrophys. 30:543-574, (1992).

[2] J.K. Chen, J.E. Beraun, T.C. Carney, in: Computer Methods in Applied Mechanics and Engineering, 46:231-252, (1999).

[3] M.B. Liu, G.R. Liu, in: Appl Numer Math, 56(1):19-36, (2006).

[4] M.B. Liu, G.R. Liu, in: Arch Comput Methods Eng, 17:25-76, (2010).