A new spectral finite volume method for elastic wave modelling on unstructured meshes
文献类型：期刊论文
| 作者 | Zhang, Wensheng1 ; Zhuang, Yuan1; Chung, Eric T.2
|
| 刊名 | GEOPHYSICAL JOURNAL INTERNATIONAL
 |
| 出版日期 | 2016-07-01 |
| 卷号 | 206期号:1页码:292-307 |
| 关键词 | Numerical solutions Numerical approximations and analysis Computational seismology Wave propagation |
| ISSN号 | 0956-540X |
| DOI | 10.1093/gji/ggw148 |
| 英文摘要 | In this paper, we consider a new spectral finite volume method (FVM) for the elastic wave equations. Our new FVM is based on a piecewise constant approximation on a fine mesh and a high-order polynomial reconstruction on a coarser mesh. Our new method is constructed based on two existing techniques, the high-order FVM and the spectral FVM. In fact, we will construct a new method to take advantage of both methods. More precisely, our method has two distinctive features. The first one is that the local polynomial reconstructions are performed on the coarse triangles and the reconstruction matrices for all the coarse triangles are the same. This fact enhances the parallelization of our algorithm. We will present a parallel implementation of our method and show excellent efficiency results. The second one is that, by using a suitable number of finer triangles with a coarse triangle, we obtain an overdetermined reconstruction system, which can enhance the robustness of the reconstruction process. To derive our scheme, standard finite volume technique is applied to each fine triangle, and the high-order reconstructed polynomials, computed on coarse triangles, are used to compute numerical fluxes. We will present numerical results to show the performance of our method. Our method is presented for 2-D problems, but the same methodology can be applied to 3-D. |
| 资助项目 | China National Natural Science Foundation[11471328] ; CUHK Faculty of Science Direct Grant |
| WOS研究方向 | Geochemistry & Geophysics |
| 语种 | 英语 |
| WOS记录号 | WOS:000377204400018 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22830]  |
| 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 | 1.Chinese Acad Sci, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Wensheng,Zhuang, Yuan,Chung, Eric T.. A new spectral finite volume method for elastic wave modelling on unstructured meshes[J]. GEOPHYSICAL JOURNAL INTERNATIONAL,2016,206(1):292-307. |
| APA | Zhang, Wensheng,Zhuang, Yuan,&Chung, Eric T..(2016).A new spectral finite volume method for elastic wave modelling on unstructured meshes.GEOPHYSICAL JOURNAL INTERNATIONAL,206(1),292-307. |
| MLA | Zhang, Wensheng,et al."A new spectral finite volume method for elastic wave modelling on unstructured meshes".GEOPHYSICAL JOURNAL INTERNATIONAL 206.1(2016):292-307. |
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。