Paper Title:
A Simplified Linear Consistency Kernel Function in SPH Method
  Abstract

Smoothed Particle Hydrodynamics (SPH) is a relatively new technique for simulating the dynamic response of solids, especially for high velocity impact and fracture problem. However, closer examination of SPH reveals some severe problems. The major difficulties are: (1) tensile instability; (2) zero-energy mode; (3) boundary deficiency; (4) less accuracy. One solution to these major difficulties with SPH is to improve the consistency of the kernel function. Based on the Reproducing Kernel Particle Method (RKPM), the concept of the proposed simplified linear consistency is introduced. The most attractive feature of the simplified linear consistency is the ease and cheapness of doing 3D calculation. One contribution of this paper is to show clearly the accuracy of solution gradually improved by increasing the order of the consistency. Simple 3D impacting models are established with different geometries and higher accurate results are obtained by using higher consistency kernel functions. Other features as numerical convergence, computational efficiency, etc. and some considerations of the simplified linear consistency kernel function are also discussed.

  Info
Periodical
Key Engineering Materials (Volumes 306-308)
Edited by
Ichsan Setya Putra and Djoko Suharto
Pages
595-600
DOI
10.4028/www.scientific.net/KEM.306-308.595
Citation
F. Xu, M. Kikuchi, "A Simplified Linear Consistency Kernel Function in SPH Method", Key Engineering Materials, Vols. 306-308, pp. 595-600, 2006
Online since
March 2006
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Wei Zeng, Xian Chao Wang, Ying Sheng Wang
Chapter 9: Applied and Computational Mathematics, Methods and Algorithms Optimization and Data Processing
Abstract:In the engineering design process, approximation Technique could guarantee the fitting precision, speed up the design process and reduce...
880