TY - GEN
T1 - The study of numerical stability in the SPH method
AU - Xu, Fei
AU - Chen, Jianshe
AU - Huang, Qiqin
PY - 2008
Y1 - 2008
N2 - In this paper, the numerical stability of the SPH method under both tension and compression conditions are discussed by using one dimensional impact models. The artificial viscosity and the conservation smoothed approach are tried to suppress both tension and compression instability. The result clearly shows that the occurrence possibility of tension instability is much larger than the compression case. The comparison of the controlling techniques of the artificial viscous and conservation smoothed approach shows that the artificial coefficients are independent on the numerical instability but can reduce some perturbation, while the conservation smoothed approach does well for both tension and compression cases. Considering the tension instability directly , a simple method of inserting particles to avoid the numerical instability is introduced.
AB - In this paper, the numerical stability of the SPH method under both tension and compression conditions are discussed by using one dimensional impact models. The artificial viscosity and the conservation smoothed approach are tried to suppress both tension and compression instability. The result clearly shows that the occurrence possibility of tension instability is much larger than the compression case. The comparison of the controlling techniques of the artificial viscous and conservation smoothed approach shows that the artificial coefficients are independent on the numerical instability but can reduce some perturbation, while the conservation smoothed approach does well for both tension and compression cases. Considering the tension instability directly , a simple method of inserting particles to avoid the numerical instability is introduced.
KW - Artificial viscous coefficient
KW - Conservation smoothed approach
KW - Numerical instability
KW - Smoothed particle hydrodynamics
UR - https://www.scopus.com/pages/publications/45749141699
U2 - 10.4028/www.scientific.net/amr.33-37.839
DO - 10.4028/www.scientific.net/amr.33-37.839
M3 - 会议稿件
AN - SCOPUS:45749141699
SN - 0878493999
SN - 9780878493999
T3 - Advanced Materials Research
SP - 839
EP - 844
BT - Advances in Fracture and Materials Behavior - Selected, peer reviewed papers of the Seventh International Conference on Fracture and Strength of Solids (FEOFS2007)
PB - Trans Tech Publications
T2 - 7th International Conference on Fracture and Strength of Solids, FEOFS 2007
Y2 - 27 August 2007 through 29 August 2007
ER -