Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method

doi:10.4208/cicp.OA-2017-0234

CSpace

	Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method
	Zhang, Wensheng 1,2
	2020-08-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	28 期号:2 页码:743-767
摘要	In this paper, a new approach is proposed to analyse the stability of high-order staggered-grid finite difference schemes for the three-dimensional (3D) poroelastic wave propagation. The standard staggered-grid schemes with different order accuracy in space are constructed based on the first-order hyperbolic velocity-stress system of the governing equations (i.e., Biot's equations). The new analysis method is based on von Neumann analysis. The obtained 3D stability is an explicit restriction for time step, which only depends on the coefficients of the difference operators and the material parameters of poroelastic media and so it can be computed easily. Moreover, the analysis has good generality and can be applied directly to the staggered-grid schemes for 3D elastic wave. Numerical computations with the perfectly matched layer in split formation are implemented to illustrate the effectiveness of the schemes for 3D poroelastic wave propagation. The method in this paper can be expected to analyse the stability for other staggered-grid schemes.
关键词	3D stability analysis poroelastic media wave propagation staggered-grid
DOI	10.4208/cicp.OA-2017-0234
收录类别	SCI
语种	英语
资助项目	China National Natural Science Foundation[11471328] ; China National Natural Science Foundation[51739007] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000539491200008
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51658
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Wensheng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Wensheng. Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2020,28(2):743-767.
APA	Zhang, Wensheng.(2020).Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,28(2),743-767.
MLA	Zhang, Wensheng."Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 28.2(2020):743-767.