Dispersion analysis of triangle-based finite element method for acoustic and elastic wave simulations
文献类型：期刊论文
| 作者 | Liu Shao-Lin1; Li Xiao-Fan1; Liu You-Shan1; Zhu Tong2; Zhang Mei-Gen1 |
| 刊名 | CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000341070200021 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/85677]  |
| 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. |
入库方式： OAI收割
来源：地质与地球物理研究所
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