光滑粒子动力学方法的发展与应用  

DEVELOPMENTS AND APPLICATIONS OF SMOOTHED PARTICLE HYDRODYNAMICS

作　　者：刘谋斌[1,2] 宗智[3] 常建忠[4] 

机构地区：[1]中国科学院力学研究所水动力学与海洋工程重点实验室,北京100190 [2]中国科学院力学研究所非线性力学国家重点实验室,北京100190 [3]大连理工大学船舶工程学院,工业装备结构分析国家重点实验室,大连116024 [4]中北大学机电工程学院,太原030051

出　　处：《力学进展》2011年第2期217-234,共18页Advances in Mechanics

基　　金：国家自然科学基金(10942004);创新研究群体科学基金(50921001);国家重点基础研究发展计划(2010CB83270)项目资助~~

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.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.

关 键 词：光滑粒子动力学(SPH) 无网格方法 粒子方法 连续性 稳定性 计算效率 

分 类 号：O35[理学—流体力学]