A new spectral finite volume method for elastic wave modelling on unstructured meshes

doi:10.1093/gji/ggw148

	A new spectral finite volume method for elastic wave modelling on unstructured meshes
	Zhang, Wensheng1 ; Zhuang, Yuan 1; Chung, Eric T.2
	2016-07-01
发表期刊	GEOPHYSICAL JOURNAL INTERNATIONAL
ISSN	0956-540X
卷号	206 期号:1 页码:292-307
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.
关键词	Numerical solutions Numerical approximations and analysis Computational seismology Wave propagation
DOI	10.1093/gji/ggw148
语种	英语
资助项目	China National Natural Science Foundation[11471328] ; CUHK Faculty of Science Direct Grant
WOS研究方向	Geochemistry & Geophysics
WOS类目	Geochemistry & Geophysics
WOS记录号	WOS:000377204400018
出版者	OXFORD UNIV 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/22831
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.