KMS Chongqing Institute of Green and Intelligent Technology, CAS
| An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces | |
Shi, Weidong1,2; Xu, Jianjun2  ; Shu, Shi1
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| 2017-12-01 | |
| 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. |
| 关键词 | Convection-diffusion equation semi-Lagrangian method level-set method blockstructured adaptive mesh finite difference method |
| DOI | 10.4208/aamm.OA-2016-0052 |
| 发表期刊 | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
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| ISSN | 2070-0733 |
| 卷号 | 9期号:6页码:1364-1382 |
| WOS记录号 | WOS:000416353800005 |
| 语种 | 英语 |
