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

doi:10.1093/gji/ggw148

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A new spectral finite volume method for elastic wave modelling on unstructured meshes
	Zhang, Wensheng1 ; Zhuang, Yuan 1; Chung, Eric T.2
刊名	GEOPHYSICAL JOURNAL INTERNATIONAL
	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
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000377204400018
内容类型	期刊论文
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.