Journal
COMPUTERS & FLUIDS
Volume 86, Issue -, Pages 37-44Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compfluid.2013.06.029
Keywords
Moving-boundary problems; Wavelet method; Level set method; Global RBFs; Compactly supported RBFs; Partial differential equations; Adaptive greedy algorithm
Funding
- Slovenian Research Agency (ARRS) [P0-0268, P2-0260]
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Moving boundaries are associated with the time-dependent problems where the momentary position of boundaries needs to be determined as a function of time. The level set method has become an effective tool for tracking, modeling and simulating the motion of free boundaries in fluid mechanics, computer animation and image processing. This work extends our earlier work on solving moving boundary problems with adaptive meshless methods. In particular, the objective of this paper is to investigate numerical performance the radial basis functions (RBFs) methods, with compactly supported basis and with global basis, coupled with a wavelet node refinement technique and a greedy trial space selection technique. Numerical simulations are provided to verify the effectiveness and robustness of RBFs methods with different adaptive techniques. (C) 2013 Elsevier Ltd. All rights reserved.
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