Reynolds-Averaged Navier–Stokes Equations for Turbulence Modeling

Author:

Alfonsi Giancarlo12

Affiliation:

1. Member ASME

2. CESIC–Supercomputing Center for Computational Engineering, Fluid Dynamics Division, Università della Calabria, Via P. Bucci 22b, 87036 Rende (Cosenza), Italy

Abstract

The approach of Reynolds-averaged Navier–Stokes equations (RANS) for the modeling of turbulent flows is reviewed. The subject is mainly considered in the limit of incompressible flows with constant properties. After the introduction of the concept of Reynolds decomposition and averaging, different classes of RANS turbulence models are presented, and, in particular, zero-equation models, one-equation models (besides a half-equation model), two-equation models (with reference to the tensor representation used for a model, both linear and nonlinear models are considered), stress-equation models (with reference to the pressure-strain correlation, both linear and nonlinear models are considered) and algebraic-stress models. For each of the abovementioned class of models, the most widely-used modeling techniques and closures are reported. The unsteady RANS approach is also discussed and a section is devoted to hybrid RANS/large methods.

Publisher

ASME International

Subject

Mechanical Engineering

Reference133 articles.

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5. Progress in the Statistical Theory of Turbulence;von Kármán;Proc. Natl. Acad. Sci. U.S.A.

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