Dispersion and pollution of the cell-based smoothed radial point interpolation method (CS-RPIM) solution for the Helmholtz equation

被引：3

作者：

Yao, Lingyun ^{[1
]}

Zhou, Jianwen ^{[1
]}

Zhou, Zhou ^{[1
]}

机构：

[1] China Automot Engn Res Inst Co Ltd, Chongqing 400039, Peoples R China

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2014年 / 41卷

关键词：

Acoustic Numerical method; Cell-based smoothed radial point interpolation method (CS-RPIM); Finite element method (FEM); Dispersion analysis; FINITE-ELEMENT-METHOD; TIME-HARMONIC ACOUSTICS; G SPACE THEORY; ERROR ESTIMATION; FORMULATION; PARTITION; FORM; 2D;

D O I：

10.1016/j.enganabound.2013.12.009

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The standard finite element method (FEM) is unreliable to compute approximate solutions of the Helmholtz equation for high wave numbers due to the dispersion. This paper presents an application of the cell-based smoothed radial point interpolation method (CS-RPIM) and focuses on the dispersion analysis in two-dimensional (2D) Helmholtz problems. The dispersion error is mainly caused by the 'overly stiff' feature of the discrete model. Therefore a properly "softened" stiffness for the discrete model is much more essential to the root of the numerical dispersion error. Owing to the proper softening effects provided by the cell-based gradient smoothing operations, the CS-RPIM model, therefore, can significantly reduce the dispersion error in the numerical solution. Numerical results demonstrated that, the CS-RPIM yields considerably better results than the FEM and EFGM, because of the crucial effectiveness in handling dispersion. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：28 / 36

页数：9

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