A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes
文献类型：期刊论文
| 作者 | Zhang, Wensheng ; Zhuang, Yuan; Zhang, Lina
|
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2017-07-01 |
| 卷号 | 340页码:534-555 |
| 关键词 | 3D Elastic wave equation High-order Finite volume method Unstructured tetrahedral mesh Wave propagation |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2017.03.050 |
| 英文摘要 | In this paper, we proposed a new efficient high-order finite volume method for 3D elastic wave simulation on unstructured tetrahedral meshes. With the relative coarse tetrahedral meshes, we make subdivision in each tetrahedron to generate a stencil for the high-order polynomial reconstruction. The subdivision algorithm guarantees the number of subelements is greater than the degrees of freedom of a complete polynomial. We perform the reconstruction on this stencil by using cell-averaged quantities based on the hierarchical orthonormal basis functions. Unlike the traditional high-order finite volume method, our new method has a very local property like DG and can be written as an inner-split computational scheme which is beneficial to reducing computational amount. Moreover, the stencil in our method is easy to generate for all tetrahedrons especially in the three-dimensional case. The resulting reconstruction matrix is invertible and remains unchanged for all tetrahedrons and thus it can be pre-computed and stored before time evolution. These special advantages facilitate the parallelization and high-order computations. We show convergence results obtained with the proposed method up to fifth order accuracy in space. The high-order accuracy in time is obtained by the Runge-Kutta method. Comparisons between numerical and analytic solutions show the proposed method can provide accurate wavefield information. Numerical simulation for a realistic model with complex topography demonstrates the effectiveness and potential applications of our method. Though the method is proposed based on the 3D elastic wave equation, it can be extended to other linear hyperbolic system. (C) 2017 Elsevier Inc. All rights reserved. |
| 资助项目 | European Research Council (ERC) [FP7-IDEAS-ERC scheme][617603] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000401137900025 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25533]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhang, Wensheng |
| 作者单位 | Chinese Acad Sci, Univ Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Wensheng,Zhuang, Yuan,Zhang, Lina. A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,340:534-555. |
| APA | Zhang, Wensheng,Zhuang, Yuan,&Zhang, Lina.(2017).A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes.JOURNAL OF COMPUTATIONAL PHYSICS,340,534-555. |
| MLA | Zhang, Wensheng,et al."A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes".JOURNAL OF COMPUTATIONAL PHYSICS 340(2017):534-555. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。