傅学金, 强洪夫, 杨月诚. 扰动波长对一维标准SPH稳定性的影响[J]. 力学与实践, 2008, 30(5): 45-48. DOI: 10.6052/1000-0992-2007-405
引用本文: 傅学金, 强洪夫, 杨月诚. 扰动波长对一维标准SPH稳定性的影响[J]. 力学与实践, 2008, 30(5): 45-48. DOI: 10.6052/1000-0992-2007-405
EFFECT OF PERTURBATION WAVELENGTH ON STABILITY OF ONE DIMENSIONAL STANDARD SPH[J]. MECHANICS IN ENGINEERING, 2008, 30(5): 45-48. DOI: 10.6052/1000-0992-2007-405
Citation: EFFECT OF PERTURBATION WAVELENGTH ON STABILITY OF ONE DIMENSIONAL STANDARD SPH[J]. MECHANICS IN ENGINEERING, 2008, 30(5): 45-48. DOI: 10.6052/1000-0992-2007-405

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

  • 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, vonNeumann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.

     

    Abstract: The stability of one dimensional standard SPH with a cubic B-spline kernel isanalyzed by von Neumann stability analysis method, and the effect ofperturbation wavelength on the stability of SPH is discussed. The results oftheoretical analysis are verified by numerical SPH computations of aone dimensional elastic bar, in which different wavelength perturbationare applied on the SPH particles. The numerical test indicates that the SPHstability is closely related with the perturbation wavelength. The numericalstable domain shape is the same as that of theoretical analysis exceptan offset of thestable domain boundaries of the numerical test. The SPHmethod used in this paper is the most unstable at the shortestperturbation wavelength, and it can bestable in tension at other perturbation wavelengths.

     

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