Numerical simulation of incompressible fluid flow using locally solenoidal elements

O. Karakashian*, Theodoros Katsaounis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

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
Volume51
Issue number9-10
DOIs
StatePublished - May 1 2006

Keywords

  • Discontinuous Galerkin method
  • Incompressible flow
  • Solenoidal elements

ASJC Scopus subject areas

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

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