Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method
Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method
复制标题
DOI：
10.1002/nme.2471
复制
发表时间：
2009-03
影响因子：
2.9
通讯作者：
A. Kacimi;O. Laghrouche
中科院分区：
文献类型：
--
作者：
A. Kacimi;O. Laghrouche
本文研究了时谐弹性波动方程的一种基于单元划分的数值求解方法。所提出的工作的目的是用更少的元素精确地模拟二维弹性波问题，每个节点间距能够包含许多波长，并且不需要在每个频率上细化网格。位移场的近似是通过标准有限元形状函数来实现的，并通过叠加压力和剪切平面波基来丰富，其中包含了波的传播知识。描述了一种能够处理混合边界条件的变分框架。给出了弹性波在圆体中的辐射和散射的数值算例。结果表明，该方法在精度和效率两方面都取得了良好的效果。版权所有©2008 John Wiley & Sons， Ltd
In this paper, we investigate a numerical approach based on the partition of unity finite element method, for the time‐harmonic elastic wave equations. The aim of the proposed work is to accurately model two‐dimensional elastic wave problems with fewer elements, capable of containing many wavelengths per nodal spacing, and without refining the mesh at each frequency. The approximation of the displacement field is performed via the standard finite element shape functions, enriched by superimposing pressure and shear plane wave basis, which incorporate knowledge of the wave propagation. A variational framework able to handle mixed boundary conditions is described. Numerical examples dealing with the radiation and the scattering of elastic waves by a circular body are presented. The results show the performance of the proposed method in both accuracy and efficiency. Copyright © 2008 John Wiley & Sons, Ltd.