Multiresolution reproducing kernel particle method for computational fluid dynamics

Wing Kam Liu*, Sukky Jun, Dirk Thomas Sihling, Yijung Chen, Wei Hao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

108 Scopus citations


Multiresolution analysis based on the reproducing kernel particle method (RKPM) is developed for computational fluid dynamics. An algorithm incorporating multiple-scale adaptive refinement is introduced. The concept of using a wavelet solution as an error indicator is also presented. A few representative numerical examples are solved to illustrate the performance of this new meshless method. Results show that the RKPM is a good candidate for tackling the widespread large-scale problems in fluid dynamics.

Original languageEnglish (US)
Pages (from-to)1391-1415
Number of pages25
JournalInternational Journal for Numerical Methods in Fluids
Issue number12
StatePublished - Jun 30 1997


  • Adaptivity
  • Computational fluid dynamics
  • Meshless kernel particle method
  • Multiresolution analysis
  • Wavelets

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

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