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Turbulence Closure Models for Computational Fluid Dynamics

  1. Paul A. Durbin

Published Online: 15 NOV 2004

DOI: 10.1002/0470091355.ecm061

Encyclopedia of Computational Mechanics

Encyclopedia of Computational Mechanics

How to Cite

Durbin, P. A. 2004. Turbulence Closure Models for Computational Fluid Dynamics. Encyclopedia of Computational Mechanics. 3:10.

Author Information

  1. Stanford University, Stanford, CA, USA

Publication History

  1. Published Online: 15 NOV 2004


The formulation of analytical turbulence closure models for use in computational fluid mechanics is described. The subject of this chapter is the types of models that are used to predict the statistically averaged flow field – commonly known as Reynolds-averaged Navier–Stokes equations (RANS) modeling. A variety of models is reviewed: these include two-equation, eddy viscosity transport, and second moment closures. How they are formulated is not a main theme; it enters the discussion but the models are presented largely at an operational level. Several issues related to numerical implementation are discussed. Relative merits of the various formulations are commented on.


  • turbulence modeling;
  • RANS;
  • k-epsilon model;
  • Reynolds stress transport;
  • second moment closure;
  • turbulence prediction methods