Influence Study of the Influence Domain to Numerical Simulation Results with Meshless Method

Abstract

Meshless method calculation accuracy is influenced by many factors, in which influence domain and node distribution are the most important. Due to the restrictions of the meshless methods themselves, their respective influence factors are different. In the paper, the advantages and disadvantages of the collocation method, the meshless method based on the local weak formulation and collocation (MWS), the meshless radial basis interpolation method based on global weak formulation (RPIM) and the weighted least squares meshless method (MWLS) are discussed by comparing the average error of nodes value in different influence domain radius. The results show that the accuracy of the MVS method is higher, but not stable; the radial basis interpolation method based on global weak formulation (RPIM) is a relatively stable method, but needs a large amount of calculation; better results can be obtained using the collocation with a small amount of the polynomial basis function added, simple and practicable.