Solving moving-boundary problems with the wavelet adaptive radial basis functions method

Leopold Vrankar*, Nicolas Ali Libre, Leevan LING, Goran Turk, Franc Runovc

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)37-44
Number of pages8
JournalComputers and Fluids
Volume86
DOIs
Publication statusPublished - 5 Nov 2013

Scopus Subject Areas

  • Computer Science(all)
  • Engineering(all)

User-Defined Keywords

  • Adaptive greedy algorithm
  • Compactly supported RBFs
  • Global RBFs
  • Level set method
  • Moving-boundary problems
  • Partial differential equations
  • Wavelet method

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