扰动波长对一维标准SPH稳定性的影响  

EFFECT OF PERTURBATION WAVELENGTH ON STABILITY OF ONE DIMENSIONAL STANDARD SPH

作　　者：傅学金[1] 强洪夫[1] 杨月诚[1] 

机构地区：[1]第二炮兵工程学院201室,西安710025

出　　处：《力学与实践》2008年第5期45-48,31,共5页Mechanics in Engineering

基　　金：国家教育部NCET资助项目.

摘　　要：运用von Neumann稳定性分析方法对采用3次B-样条核函数的一维标准SPH进行了稳定性分析,在此基础上对扰动波长的影响进行了讨论,并用一维弹性杆的SPH计算对分析结论进行了数值验证.理论分析和数值计算表明,von Neumann分析所得的稳定性随扰动波长变化的规律与实际计算结果完全相符,SPH稳定性与扰动波长密切相关.对于所分析的SPH方法,在扰动波长最小处稳定性最差,而在其它扰动波长下,SPH的计算则可以在拉伸状态下稳定.The stability of one dimensional standard SPH with a cubic B-spline kernel is analyzed by von Neumann stability analysis method, and the effect of perturbation wavelength on the stability of SPH is discussed. The results of theoretical analysis are verified by numerical SPH computations of a one dimensional elastic bar, in which different wavelength perturbation are applied on the SPH particles. The numerical test indicates that the SPH stability is closely related with the perturbation wavelength. The numerical stable domain shape is the same as that of theoretical analysis except an offset of the stable domain boundaries of the numerical test. The SPH method used in this paper is the most unstable at the shortest perturbation wavelength, and it can be stable in tension at other perturbation wavelengths.

关 键 词：SPH 稳定性 扰动波长 

分 类 号：O413.1[理学—理论物理] TQ925.1[理学—物理]