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.
Skip Nav Destination
e-mail: giancarlo.alfonsi@unical.it
Article navigation
July 2009
Review Articles
Reynolds-Averaged Navier–Stokes Equations for Turbulence Modeling
Giancarlo Alfonsi
Giancarlo Alfonsi
Member ASME
CESIC–Supercomputing Center for Computational Engineering, Fluid Dynamics Division,
e-mail: giancarlo.alfonsi@unical.it
Università della Calabria
, Via P. Bucci 22b, 87036 Rende (Cosenza), Italy
Search for other works by this author on:
Giancarlo Alfonsi
Member ASME
CESIC–Supercomputing Center for Computational Engineering, Fluid Dynamics Division,
Università della Calabria
, Via P. Bucci 22b, 87036 Rende (Cosenza), Italye-mail: giancarlo.alfonsi@unical.it
Appl. Mech. Rev. Jul 2009, 62(4): 040802 (20 pages)
Published Online: June 4, 2009
Article history
Received:
September 16, 2008
Revised:
February 2, 2009
Published:
June 4, 2009
Citation
Alfonsi, G. (June 4, 2009). "Reynolds-Averaged Navier–Stokes Equations for Turbulence Modeling." ASME. Appl. Mech. Rev. July 2009; 62(4): 040802. https://doi.org/10.1115/1.3124648
Download citation file:
Get Email Alerts
Related Articles
On Homogenization-Based Methods for Large-Eddy Simulation
J. Fluids Eng (December,2002)
A Data-Driven Method for the Derivation of Explicit Algebraic Reynolds Stress Models Applied to the Wake Losses of Low-Pressure Turbine Cascades
J. Turbomach (June,2025)
Related Proceedings Papers
Related Chapters
Antilock-Braking System Using Fuzzy Logic
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Physical Properties in the Persian Gulf
Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)
Two Advanced Methods
Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine