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  2. 地质与地球物理研究所
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  4. 深部资源勘探装备研发
An optimal spatial-filtering method derived from eigenvalue perturbation for extending the Courant-Friedrichs-Lewy stability limit

文献类型：期刊论文

作者Miao, Zhongzheng1,2,3,4; Zhang, Jinhai1,2,3
刊名GEOPHYSICS
出版日期2023-07-01
卷号88期号:4页码:T227-T236
ISSN号0016-8033
DOI10.1190/GEO2022-0636.1
英文摘要Explicit time-marching schemes are widely used in numerical simulations. However, their maximum time step is constrained by the Courant-Friedrichs-Lewy (CFL) stability limit. Two methods have been developed to extend this limit: (1) the eigenvalue perturbation method, which exhibits high numerical accuracy but incurs unaffordable memory demand and computational costs, even for middle-scale models, and (2) the spatial-filtering method, which can be implemented easily but results in signifi-cant numerical errors under large time steps. However, the intrin-sic relationship between these two methods remains unknown. We reveal the intrinsic relationship between these two methods by considering the eigenvalue perturbation method for a homo-geneous model. Using this relationship, we derive an analytical spatial filter for the homogeneous model and develop an optimal spatial filter for heterogeneous models. Compared to the classical spatial-filtering method, which removes all high-wavenumber components, our method retains all high-wavenumber compo-nents that contribute to wave propagation while eliminating other high-wavenumber components that cause instability. For the same numerical accuracy, the maximum time step allowed by the proposed method is approximately twice that of the classical spatial-filtering method. Compared to the eigenvalue perturbation method, our method can be used in large-scale models without additional memory consumption and computational cost. This can significantly accelerate the pseudospectral method with significantly larger time steps beyond the CFL stability limit, which is particularly promising for large-scale models with a fine grid.
WOS关键词FINITE-DIFFERENCE SCHEMES ; HETEROGENEOUS MEDIA ; WAVE PROPAGATION ; EXPLICIT ; TIME ; DISPERSION ; ORDER ; 4TH-ORDER ; EQUATIONS ; SPACE
资助项目National Key Ramp;D Program of the Ministry of Science and Technology of China[2020YFA0713400] ; Key Research Program of the Chinese Academy of Sciences[ZDBS- SSW-TLC001] ; Key Research Program of the Institute of Geology amp; Geophysics, CAS[IGGCAS-202203]
WOS研究方向Geochemistry & Geophysics
语种英语
出版者SOC EXPLORATION GEOPHYSICISTS - SEG
WOS记录号WOS:001032596400004
资助机构National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; National Key Ramp;D Program of the Ministry of Science and Technology of China ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Chinese Academy of Sciences ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS ; Key Research Program of the Institute of Geology amp; Geophysics, CAS
源URL[http://ir.iggcas.ac.cn/handle/132A11/111339]  
专题地质与地球物理研究所_深部资源勘探装备研发
地质与地球物理研究所_中国科学院地球与行星物理重点实验室
通讯作者Zhang, Jinhai
作者单位1.Chinese Acad Sci, Inst Geol & Geophys, Engn Lab Deep Resources Equipment & Technol, Beijing, Peoples R China
2.Chinese Acad Sci, Innovat Acad Earth Sci, Beijing, Peoples R China
3.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing, Peoples R China
4.Univ Chinese Acad Sci, Coll Earth & Planetary Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Miao, Zhongzheng,Zhang, Jinhai. An optimal spatial-filtering method derived from eigenvalue perturbation for extending the Courant-Friedrichs-Lewy stability limit[J]. GEOPHYSICS,2023,88(4):T227-T236.
APA Miao, Zhongzheng,&Zhang, Jinhai.(2023).An optimal spatial-filtering method derived from eigenvalue perturbation for extending the Courant-Friedrichs-Lewy stability limit.GEOPHYSICS,88(4),T227-T236.
MLA Miao, Zhongzheng,et al."An optimal spatial-filtering method derived from eigenvalue perturbation for extending the Courant-Friedrichs-Lewy stability limit".GEOPHYSICS 88.4(2023):T227-T236.

入库方式： OAI收割

来源：地质与地球物理研究所

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