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Extending the stability limit of explicit scheme with spatial filtering for solving wave equations
Gao, Yingjie1,2; Zhang, Jinhai1,2; Yao, Zhenxing1,2
2019-11-15
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
ISSN0021-9991
Volume397Pages:9
AbstractThe explicit finite-difference scheme is widely used for solving the wave equation; however, its time step is strictly constrained by the Courant-Friedrichs-Lewy (CFL) stability limit. We apply spatial filtering to reduce the high-wavenumber noise caused by using a larger time step beyond the CFL stability limit. We further incorporate the forward and inverse time dispersion transforms to reduce the time-dispersion error. This method allows us to use a time step larger than the maximum time step allowed by the CFL stability limit. (C) 2019 Elsevier Inc. All rights reserved.
KeywordExplicit scheme Spatial filtering CFL stability limit Time-dispersion error Large time step
DOI10.1016/j.jcp.2019.07.051
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences
WOS KeywordTIME DISPERSION
Language英语
Funding ProjectNational Natural Science Foundation of China[41704063] ; National Major Project of China[2017ZX05008-007] ; China Postdoctoral Science Foundation[2017M610980] ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences[XDA15011700] ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Strategic Pioneer Program on Space Science, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences ; Foundation for Excellent Member of the Youth Innovation Promotion Association, Chinese Academy of Sciences
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000486433900020
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/93705
Collection地球与行星物理院重点实验室
Corresponding AuthorZhang, Jinhai
Affiliation1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing, Peoples R China
2.Chinese Acad Sci, Inst Earth Sci, Beijing, Peoples R China
First Author AffilicationKey Laboratory of Earth and Planetary Physics, Chinese Academy of Sciences
Corresponding Author AffilicationKey Laboratory of Earth and Planetary Physics, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Gao, Yingjie,Zhang, Jinhai,Yao, Zhenxing. Extending the stability limit of explicit scheme with spatial filtering for solving wave equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2019,397:9.
APA Gao, Yingjie,Zhang, Jinhai,&Yao, Zhenxing.(2019).Extending the stability limit of explicit scheme with spatial filtering for solving wave equations.JOURNAL OF COMPUTATIONAL PHYSICS,397,9.
MLA Gao, Yingjie,et al."Extending the stability limit of explicit scheme with spatial filtering for solving wave equations".JOURNAL OF COMPUTATIONAL PHYSICS 397(2019):9.
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