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A novel fast overrelaxation updating method for continuous-discontinuous cellular automaton
Yan, Fei; Pan, Peng-Zhi; Feng, Xia-Ting; Li, Shao-Jun; Jiang, Quan
2019
Source PublicationAPPLIED MATHEMATICAL MODELLING
ISSN0307-904X
Volume66Issue:-Pages:156-174
AbstractBecause of its local property, cellular automaton method has been widely applied in different subjects, but the main problem is that the cellular updating is time-consuming. In order to improve its calculation efficiency, a fast successive relaxation updating method is proposed in this paper. Firstly, an accelerating factor omega is defined, and a fast successive relaxation updating theory and its corresponding convergence conditions are developed. In each updating step, the displacement increment is enlarged omega times as a new increment to replace the old one, similarly, the nodal forces for its neighbors caused by this displacement increment are also enlarged by the same accelerating factor, and do those updating operations until the convergence is achieved. By this method, the convergence rate is greatly improved, by a suitable accelerating factor, 90 to 98% of iteration steps are decreased compared to that of the traditional method. Besides, the influence factors for the accelerating factor are studied, and numerical studies show that the suitable accelerating factor is 1.85 < omega < 1.99, which is greatly influenced by cell stiffness, and the optimal accelerating factor is 1.96 < omega < 1.99. Finally, numerical examples are given to illustrate that the present method is effective and high convergence rate compared to the traditional method. (C) 2018 Elsevier Inc. All rights reserved.
KeywordThe continuous-discontinuous cellular automaton method The fast successive relaxation updating method Updating rule The accelerating factor Convergence
DOI10.1016/j.apm.2018.08.025
Indexed BySCI
Language英语
WOS Research AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000454976400009
Citation statistics
Cited Times:21[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://119.78.100.198/handle/2S6PX9GI/15063
Collection岩土力学所知识全产出_期刊论文
国家重点实验室知识产出_期刊论文
AffiliationChinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Hubei, Peoples R China
First Author AffilicationInstitute of Rock and Soil Mechanics, chinese Academy of sciences
Recommended Citation
GB/T 7714
Yan, Fei,Pan, Peng-Zhi,Feng, Xia-Ting,et al. A novel fast overrelaxation updating method for continuous-discontinuous cellular automaton[J]. APPLIED MATHEMATICAL MODELLING,2019,66(-):156-174.
APA Yan, Fei,Pan, Peng-Zhi,Feng, Xia-Ting,Li, Shao-Jun,&Jiang, Quan.(2019).A novel fast overrelaxation updating method for continuous-discontinuous cellular automaton.APPLIED MATHEMATICAL MODELLING,66(-),156-174.
MLA Yan, Fei,et al."A novel fast overrelaxation updating method for continuous-discontinuous cellular automaton".APPLIED MATHEMATICAL MODELLING 66.-(2019):156-174.
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