A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes

doi:10.1016/j.jcp.2017.03.050

	A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes
	Zhang, Wensheng; Zhuang, Yuan; Zhang, Lina
	2017-07-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	340 页码:534-555
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.
关键词	3D Elastic wave equation High-order Finite volume method Unstructured tetrahedral mesh Wave propagation
DOI	10.1016/j.jcp.2017.03.050
语种	英语
资助项目	European Research Council (ERC) [FP7-IDEAS-ERC scheme][617603]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000401137900025
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25534
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.