Dispersion analysis of triangle-based finite element method for acoustic and elastic wave simulations

doi:10.6038/cjg20140821

	Dispersion analysis of triangle-based finite element method for acoustic and elastic wave simulations
	Liu Shao-Lin 1; Li Xiao-Fan 1; Liu You-Shan 1; Zhu Tong 2; Zhang Mei-Gen 1
刊名	CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
	2014-08-01
卷号	57 期号:8 页码:2620-2630
关键词	Finite element method Numerical dispersion Triangle mesh Acoustic wave equation Elastic wave equation
ISSN号	0001-5733
DOI	10.6038/cjg20140821
文献子类	Article
英文摘要	Acoustic and elastic wave equations are discretized by finite element method with triangles and central difference scheme in space and time, respectively. The generalized eigenvalue problems are constructed to analyze the numerical dispersion of the finite element method. Three types of mass finite element method, which are consistent finite element method (CFEM), lumped finite element method (LFEM) and mixed finite element method (MFEM), are implemented to the numerical scheme, and the numerical dispersion is under a comprehensive study. Then, the MFEM is adopted to investigate the behavior of numerical anisotropy in terms of four typical triangle meshes. Comparing the numerical dispersion and anisotropy behavior when MFEM uses different interpolation orders, one can easily find that numerical error decreases as the interpolation order increases. Specifically, the numerical dispersion and anisotropy are negligible when third-order interpolation is used. Finally, controlling the other impact factors, the dispersive properties of elastic wave propagation in elastic medium with various velocity ratios are analyzed, and the results of numerical dissipation are presented at the end of this paper.
WOS关键词	RUNGE-KUTTA METHOD ; GRID DISPERSION ; PROPAGATION ; EQUATIONS ; SCALAR ; DIFFERENCE ; STABILITY ; MEDIA ; DISCRETIZATIONS ; OPERATOR
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000341070200021
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/85676]
专题	中国科学院地质与地球物理研究所
通讯作者	Liu Shao-Lin
作者单位	1.Chinese Acad Sci, Key Lab Earths Deep Interior, Inst Geol & Geophys, Beijing 100029, Peoples R China 2.SINOPEC Geophys Res Inst, Nanjing 210014, Peoples R China
推荐引用方式 GB/T 7714	Liu Shao-Lin,Li Xiao-Fan,Liu You-Shan,et al. Dispersion analysis of triangle-based finite element method for acoustic and elastic wave simulations[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2014,57(8):2620-2630.
APA	Liu Shao-Lin,Li Xiao-Fan,Liu You-Shan,Zhu Tong,&Zhang Mei-Gen.(2014).Dispersion analysis of triangle-based finite element method for acoustic and elastic wave simulations.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,57(8),2620-2630.
MLA	Liu Shao-Lin,et al."Dispersion analysis of triangle-based finite element method for acoustic and elastic wave simulations".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 57.8(2014):2620-2630.