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中文摘要：
光滑粒子动力学（smoothed particle hydrodynamics,SPH）是一种拉格朗日型无网格粒子方法,已经成功地应用到了工程和科学的众多领域.SPH使用粒子离散及代表所模拟的介质,并且基于粒子体系估算和近似介质运动的控制方程.本文分析和综述了SPH模拟方法的发展历程、数值方法与应用进展.介绍了SPH方法的基本思想;从连续性、边界处理、稳定性和计算效率4个方面阐述了SPH方法的研究现状;介绍了SPH方法近年来在可压缩流动、不可压缩流动以及弹塑性材料高速变形与失效方面的一些典型应用;并对SPH方法的发展与应用进行了预测与展望.
英文摘要：
Smoothed particle hydrodynamics（SPH） is a Lagrangian meshfree particle method,and has been widely applied to different areas in engineering and science.SPH method uses a set of particles to discretize the computational domain and to represent the state of the system being modeled,and approximates the governing equations based on the set of particles.This paper provides an overview on the development,numerical aspects,and applications of the SPH method.The basic concepts,consistency,boundary treatment,stability and computational efficiency of the SPH method have been discussed.Applications of the SPH method to compressible and incompressible fluid flows as well as to rapid deformation and failure of elastic-plastic materials have been addressed.Finally the paper concludes with remarks of the merits and defects of the SPH methods, and with some predictions of numerical method development and application areas.
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