光滑粒子流体动力学的研究进展及应用

Development and Application of Smoothed Particle Hydrodynamics

本文从光滑粒子流体动力学(Smoothed particle hydrodynamics,SPH)方法的基本理论出发,论述了经典SPH方法存在的问题:插值不连续,边界处理,张力不稳定性;对五种改进的SPH算法(NSPH,RKPM,CSPM,MLSPH,ISPH)的原理及特点进行了总结。并总结了SPH方法在可压缩流,不可压缩流,材料的变形与冲击断裂中的应用情况。最后,结合SPH在工程领域中的应用提出几点展望。

This paper proceeds from the basic theory of the smoothed particle hydrodynamics. Several problems such as discontinuity of interpolating,boundary treatment,tensile instability are discussed. Five types of modified SPH methods such as NSPH（ normalized SPH）,RKPM（ Reproducing kernel method）,CSPM（ Corrective smoothed particle method）,MLSPH（ Moving least squares particle hydrodynamics）,ISPH（ Incompressible SPH）,are summarized. The applications of SPH in the compressible flow,incompressible flow,the deformation or fracture of material are reviewed. Finally,the application prospect of SPH in industry is discussed.