A fast projection scheme for the direct numerical simulation of rigid particulate flows

Neelesh A Patankar*, Nitin Sharma

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


A formulation is presented for the direct numerical simulation of freely moving rigid particles in fluids. This approach is an improvement upon an earlier formulation (Int. J. Multiphase Flow 2000; 26: 1509-1524) and does not rely on any model for fluid-particle interaction. The idea is to assume that the entire fluid-particle domain is a fluid and to constrain the particle domain to move with a rigid motion. The fluid-particle motion is treated implicitly so that the mutual forces of interaction cancel because they are internal to the combined system. The formulation can be implemented by an immersed boundary and a fractional time stepping technique. It can be conveniently employed within finite volume, finite element or other techniques. Due to its ability for fast projection of rigid motion this method has been used for animations and its application to turbulent particulate flows merits investigation.

Original languageEnglish (US)
Pages (from-to)419-432
Number of pages14
JournalCommunications in Numerical Methods in Engineering
Issue number8
StatePublished - Aug 1 2005


  • Direct numerical simulation
  • Distributed Lagrange multiplier
  • Rigid particulate flow
  • Turbulent flows

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • Engineering(all)
  • Computational Theory and Mathematics
  • Applied Mathematics


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