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AN ADAPTIVE FAST INTERFACE TRACKING METHOD
Di Yana1; Jelena Popovic2; Olof Runborg3
2015
Source PublicationJournal of Computational Mathematics
ISSN0254-9409
Volume33Issue:6Pages:576
AbstractAn adaptive numerical scheme is developed for the propagation of an interface in a velocity field based on the fast interface tracking method proposed in 2. A multiresolution stategy to represent the interface instead of point values, allows local grid refinement while controlling the approximation error on the interface. For time integration, we use an explicit Runge-Kutta scheme of second-order with a multiscale time step, which takes longer time steps for finer spatial scales. The implementation of the algorithm uses a dynamic tree data structure to represent data in the computer memory. We briefly review first the main algorithm, describe the essential data structures, highlight the adaptive scheme, and illustrate the computational efficiency by some numerical examples.
Language英语
Funding Project[Dahlquist Research Fellowship] ; [NSFC]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/47268
Collection中国科学院数学与系统科学研究院
Affiliation1.中国科学院数学与系统科学研究院
2.Department of Numerical Analysis, CSC, KTH
3.Department of Mathematics and Swedish e-Science Research Center , KTH
Recommended Citation
GB/T 7714
Di Yana,Jelena Popovic,Olof Runborg. AN ADAPTIVE FAST INTERFACE TRACKING METHOD[J]. Journal of Computational Mathematics,2015,33(6):576.
APA Di Yana,Jelena Popovic,&Olof Runborg.(2015).AN ADAPTIVE FAST INTERFACE TRACKING METHOD.Journal of Computational Mathematics,33(6),576.
MLA Di Yana,et al."AN ADAPTIVE FAST INTERFACE TRACKING METHOD".Journal of Computational Mathematics 33.6(2015):576.
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