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An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces

文献类型：期刊论文

作者Shi, Weidong1,2; Xu, Jianjun2; Shu, Shi1
刊名ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
出版日期2017-12-01
卷号9期号:6页码:1364-1382
关键词Convection-diffusion equation semi-Lagrangian method level-set method blockstructured adaptive mesh finite difference method
ISSN号2070-0733
DOI10.4208/aamm.OA-2016-0052
英文摘要A new Semi-Lagrangian scheme is proposed to discretize the surface convection-diffusion equation. The other involved equations including the the levelset convection equation, the re-initialization equation and the extension equation are also solved by S-L schemes. The S-L method removes both the CFL condition and the stiffness caused by the surface Laplacian, allowing larger time step than the Eulerian method. The method is extended to the block-structured adaptive mesh. Numerical examples are given to demonstrate the efficiency of the S-L method.
资助项目National natural science fund of China[91430213] ; National natural science fund of China[11571293] ; Hunan Provincial Innovation Foundation for Postgraduate[CX2015B208]
WOS研究方向Mathematics ; Mechanics
语种英语
WOS记录号WOS:000416353800005
出版者CAMBRIDGE UNIV PRESS
源URL[http://172.16.51.4:88/handle/2HOD01W0/111]  
专题大数据挖掘及应用中心
通讯作者Xu, Jianjun
作者单位1.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
2.Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing 400714, Peoples R China
推荐引用方式
GB/T 7714		 Shi, Weidong,Xu, Jianjun,Shu, Shi. An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2017,9(6):1364-1382.
APA Shi, Weidong,Xu, Jianjun,&Shu, Shi.(2017).An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,9(6),1364-1382.
MLA Shi, Weidong,et al."An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 9.6(2017):1364-1382.

入库方式： OAI收割

来源：重庆绿色智能技术研究院

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