Numerical simulation of incompressible fluid flow using locally solenoidal elements

O. Karakashian*, Th Katsaounis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


In this paper, we present a numerical study of the performance of a discontinuous Galerkin formulation for the Navier-Stokes equations. This method is characterized by the fact that the velocity field is approximated using piecewise polynomial functions that are totally discontinuous across interelement boundaries and which are pointwise divergence-free on each element (locally solenoidal In particular, numerical results are presented for two well-known benchmark problems.

Original languageEnglish (US)
Pages (from-to)1551-1570
Number of pages20
JournalComputers and Mathematics with Applications
Issue number9-10
StatePublished - May 2006
Externally publishedYes


  • Discontinuous Galerkin method
  • Incompressible flow
  • Solenoidal elements

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics


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