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Efficiency of the spectral element method with very high polynomial degree to solve the elastic wave equation

文献类型：期刊论文

作者Lyu, Chao1,2; Capdeville, Yann2; Zhao, Liang1
刊名GEOPHYSICS
出版日期2020
卷号85期号:1页码:T33-T43
ISSN号0016-8033
DOI10.1190/GEO2019-0087.1
英文摘要The spectral element method (SEM) has gained tremendous popularity within the seismological community to solve the wave equation at all scales. Classic SEM applications mostly rely on degrees 4-8 elements in each tensorial direction. Higher degrees are usually not considered due to two main reasons. First, high degrees imply large elements, which make the meshing of mechanical discontinuities difficult. Second, the SEM's collocation points cluster toward the edge of the elements with the degree, degrading the time-marching stability criteria and imposing a small time step and a high numerical cost. Recently, the homogenization method has been introduced in seismology. This method can be seen as a preprocessing step before solving the wave equation that smooths out the internal mechanical discontinuities of the elastic model. It releases the meshing constraint and makes use of very high degree elements more attractive. Thus, we address the question of memory and computing time efficiency of very high degree elements in SEM, up to degree 40. Numerical analyses reveal that, for a fixed accuracy, very high degree elements require less computer memory than low-degree elements. With minimum sampling points per minimum wavelength of 2.5, the memory needed for a degree 20 is about a quarter that of the one necessary for a degree 4 in two dimensions and about one-eighth in three dimensions. Moreover, for the SEM codes tested in this work, the computation time with degrees 12-24 can be up to twice faster than the classic degree 4. This makes SEM with very high degrees attractive and competitive for solving the wave equation in many situations.
WOS关键词NONPERIODIC HOMOGENIZATION ; FINITE-DIFFERENCE ; ADJOINT METHODS ; FORM INVERSION ; PROPAGATION ; TOMOGRAPHY ; DISPERSION ; MEDIA
资助项目National Natural Science Fund for Distinguished Young Scholars in China[41625016] ; French National Research Agency[ANR-16-CE31-0022-01] ; China Scholarship Council[201804910289]
WOS研究方向Geochemistry & Geophysics
语种英语
WOS记录号WOS:000506219100046
出版者SOC EXPLORATION GEOPHYSICISTS
资助机构National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; French National Research Agency ; French National Research Agency ; French National Research Agency ; French National Research Agency ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; French National Research Agency ; French National Research Agency ; French National Research Agency ; French National Research Agency ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; French National Research Agency ; French National Research Agency ; French National Research Agency ; French National Research Agency ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; National Natural Science Fund for Distinguished Young Scholars in China ; French National Research Agency ; French National Research Agency ; French National Research Agency ; French National Research Agency ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council
源URL[http://ir.iggcas.ac.cn/handle/132A11/95858]  
专题地质与地球物理研究所_岩石圈演化国家重点实验室
通讯作者Lyu, Chao
作者单位1.Chinese Acad Sci, Inst Geol & Geophys, State Key Lab Lithospher Evolut, Beijing 100029, Peoples R China
2.Univ Nantes, CNRS, Lab Planetol & Geodynam Nantes, Beijing 100029, Peoples R China
推荐引用方式
GB/T 7714		 Lyu, Chao,Capdeville, Yann,Zhao, Liang. Efficiency of the spectral element method with very high polynomial degree to solve the elastic wave equation[J]. GEOPHYSICS,2020,85(1):T33-T43.
APA Lyu, Chao,Capdeville, Yann,&Zhao, Liang.(2020).Efficiency of the spectral element method with very high polynomial degree to solve the elastic wave equation.GEOPHYSICS,85(1),T33-T43.
MLA Lyu, Chao,et al."Efficiency of the spectral element method with very high polynomial degree to solve the elastic wave equation".GEOPHYSICS 85.1(2020):T33-T43.

入库方式： OAI收割

来源：地质与地球物理研究所

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