Improvement of the Second Order Approximation of the Smoothed Particle Hydrodynamics

作     者：陈思 周岱 董石麟 李华峰 阳光 CHEN Si, ZHOU Dai, DONG Shi-lin, LI Hua-feng, YANG Guang (School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China)

作者机构：School of Naval ArchitectureOcean and Civil EngineeringShanghai Jiaotong University 

出 版 物：《Journal of Shanghai Jiaotong university(Science)》 (上海交通大学学报（英文版）)

年 卷 期：2008年第13卷第4期

页      面：404-407页

核心收录：

学科分类：08[工学] 081402[工学-结构工程] 081304[工学-建筑技术科学] 0813[工学-建筑学] 0814[工学-土木工程] 

基　　金：the Key Project of Fund of Science and Technology Development of Shanghai (No. 07JC14023) the National Natural Science Foundation of China(No. 50778111) 

主　　题：smoothed particle hydrodynamics (SPH) second order derivatives approximation error analysis 

摘      要：The smoothed particle hydrodynamics (SPH), as a fully Lagrangian particle method, has been suc- cessfully applied to astrophysical problems and extended to elastic dynamics and computational fluid dynamics. High order derivatives have to be approximated when elastic dynamics problems are modeled. However, the approximation errors in SPH could lead to computational failure in the case that the order of derivative is high. A novel method was proposed in order to improve the accuracy of SPH method, which shows the relationship between the selected functions and their SPH approximations. The entire involved system was represented by a finite number of particles that carry individual mass and occupy individual space, and the integral interpo- lation was approximated by a summation interpolation. In addition, error comparison was made between SPH method with and without the present improvement.