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发布时间：2020-03-06

论文类型：期刊论文

发表时间：2020-04-01

发表刊物：JOURNAL OF ENGINEERING MECHANICS

收录刊物：SCIE、EI

卷号：146

期号：4

ISSN号：0733-9399

关键字：Wavelet finite element; Multiscale; Numerical dispersion; Element distortion

摘要：Recently, the wavelet finite element has been introduced to solve wave propagation problems because of its outstanding compact support, multiscale, and multiresolution characteristics. In this research, the accuracy of a multiscale wavelet element using B-spline wavelet on interval (BSWI) for two-dimensional (2D) elastic wave propagation was theoretically studied through dispersion analysis. The Rayleigh quotient technique was introduced to overcome the difficulties caused by the wavelet element with large internal nodes. The numerical dispersion curves of different wave types (P- and S-waves) for different BSWI elements were provided, and the phase errors and numerical anisotropy were discussed. The effects of material parameters and element distortions on the numerical dispersion were elucidated. The BSWI element and other high-order finite elements were compared. The BSWI element of order four and scale three can almost completely suppress the numerical dispersion and anisotropy when no less than five nodes exist per wavelength. Element distortions can severely aggravate numerical dispersion and anisotropy, but the accuracy can be significantly improved with a local lifting scheme without altering the initial mesh and polynomial order.