KMS Of Academy of mathematics and systems sciences, CAS
| Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method | |
| Zhang, Wensheng1,2 | |
| 2020-08-01 | |
| Source Publication | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| ISSN | 1815-2406 |
| Volume | 28Issue:2Pages:743-767 |
| Abstract | 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. |
| Keyword | 3D stability analysis poroelastic media wave propagation staggered-grid |
| DOI | 10.4208/cicp.OA-2017-0234 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | China National Natural Science Foundation[11471328] ; China National Natural Science Foundation[51739007] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences |
| WOS Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000539491200008 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51658 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhang, Wensheng |
| Affiliation | 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 |
| Recommended Citation 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. |
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