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Removing the Courant-Friedrichs-Lewy stability criterion of the explicit time-domain very high degree spectral-element method with eigenvalue perturbation

文献类型：期刊论文

作者Lyu, Chao1,2; Capdeville, Yann2; Lu, Gang1; Zhao, Liang1
刊名GEOPHYSICS
出版日期2021-09-01
卷号86期号:5页码:T411-T419
ISSN号0016-8033
DOI10.1190/GEO2020-0623.1
英文摘要The explicit time-domain spectral-element method (SEM) for synthesizing seismograms has gained tremendous credibility within the seismological community at all scales. Although the recent introduction of nonperiodic homogenization has addressed the spatial meshing difficulty of the mechanical discontinuities, the Courant-Friedrichs-Lewy (CFL) stability criterion strictly constrains the maximum time step, which still puts a great burden on the numerical simulation. In the explicit time-domain SEM, the source of instability of using a time step beyond the stability criterion is that some unstable eigenvalues of the updated matrix are larger than what can be accurately simulated. We have succeeded in removing the CFL stability condition in explicit time-domain SEM by combining the forward time dispersion-transform method, the eigenvalue perturbation, and the inverse time dispersion-transform method. Our theoretical analyses and numerical experiments in the homogeneous. moderate, and strong heterogeneous models show that this combination can accurately simulate waveforms with time steps several times the size of the CFL limit even toward the Nyquist limit especially for the efficient very high degree SEM, which abundantly saves iteration times without suffering from time-dispersion error. It demonstrates a potential application prospect in some situations such as full-waveform inversion that require multiple numerical simulations for the same model.
WOS关键词STABLE FDTD METHOD ; NONPERIODIC HOMOGENIZATION ; ELASTIC MEDIA ; TOMOGRAPHY ; DISPERSION
资助项目National Key R&D Program of China[2017YFC0601206] ; NSFC[41888101] ; NSFC[42004045] ; NSFC[41625016] ; NSFC[41774112] ; China Scholarship Council[201804910289] ; French National Research Agency[ANR-16-CE31-0022-01]
WOS研究方向Geochemistry & Geophysics
语种英语
WOS记录号WOS:000711980200044
出版者SOC EXPLORATION GEOPHYSICISTS
资助机构National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; NSFC ; NSFC ; NSFC ; NSFC ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; French National Research Agency ; French National Research Agency ; French National Research Agency ; French National Research Agency ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; NSFC ; NSFC ; NSFC ; NSFC ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; French National Research Agency ; French National Research Agency ; French National Research Agency ; French National Research Agency ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; NSFC ; NSFC ; NSFC ; NSFC ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; French National Research Agency ; French National Research Agency ; French National Research Agency ; French National Research Agency ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; National Key R&D Program of China ; NSFC ; NSFC ; NSFC ; NSFC ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; China Scholarship Council ; French National Research Agency ; French National Research Agency ; French National Research Agency ; French National Research Agency
源URL[http://ir.iggcas.ac.cn/handle/132A11/103774]  
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Zhao, Liang
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, UMR6112, F-44300 Nantes, France
推荐引用方式
GB/T 7714		 Lyu, Chao,Capdeville, Yann,Lu, Gang,et al. Removing the Courant-Friedrichs-Lewy stability criterion of the explicit time-domain very high degree spectral-element method with eigenvalue perturbation[J]. GEOPHYSICS,2021,86(5):T411-T419.
APA Lyu, Chao,Capdeville, Yann,Lu, Gang,&Zhao, Liang.(2021).Removing the Courant-Friedrichs-Lewy stability criterion of the explicit time-domain very high degree spectral-element method with eigenvalue perturbation.GEOPHYSICS,86(5),T411-T419.
MLA Lyu, Chao,et al."Removing the Courant-Friedrichs-Lewy stability criterion of the explicit time-domain very high degree spectral-element method with eigenvalue perturbation".GEOPHYSICS 86.5(2021):T411-T419.

入库方式： OAI收割

来源：地质与地球物理研究所

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