Projections of velocity data for the compatibility with transport

Shuyu Sun*, Mary F. Wheeler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

53 Scopus citations


Both direct and iterative postprocessing methods are introduced to recover local conservation and higher order compatibility conditions, and to provide a velocity field with continuous normal components. Both methods treat a general non-conforming unstructured mesh, allow a projected mesh different from the original, handle the velocity coming from general flow schemes including non-conservative schemes, and process the velocity data from field measurements. The direct method is proved to be optimally accurate in general, whereas the iterative method consists of exponentially convergent iterations. Numerical results show that both methods not only maintain, but also improve the accuracy of the velocity.

Original languageEnglish (US)
Pages (from-to)653-673
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Issue number7-8
StatePublished - Jan 25 2006
Externally publishedYes


  • Compatibility
  • Flow
  • Mass conservation
  • Transport
  • Zeroth-order accuracy

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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