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Article

On the Grid Sensitivity of the Wall Boundary Condition of the k-ω Turbulence Model

[+] Author and Article Information
L. Eça

Instituto Superior Técnico, Department of Engineering, Avenida Rovisco Pais, 1 Lisbon, 1049-001 Portugal

M. Hoekstra

Maritime Research Institute Netherlands, P.O. Box 28 6700AA, Wageningen, The Netherlands

J. Fluids Eng 126(6), 900-910 (Mar 11, 2005) (11 pages) doi:10.1115/1.1845492 History: Received September 09, 2003; Revised May 26, 2004; Online March 11, 2005
Copyright © 2004 by ASME
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References

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Kok, J. C., 1999, “Resolving the Dependence on Free-stream values for the k-ω Turbulence Model,” NLR-TP-99295, http://www.nlr.nl/public/library/1999/99295-tp.pdf
Thivet,  F., Daouk,  M., and Knight,  D., 2002, “Influence of the Wall Condition on k-ω Turbulence Model Predictions,” AIAA J., 40, pp. 179–181.
Hellsten, A., 1998, “On the Solid-Wall Boundary Condition of ω in the k-ω Type Turbulence Models,” Report B-50, Helsinki University of Technology, Laboratory of Aerodynamics, ISBN 951-22-4005-X; http://www.aero.hut.fi/Englanniksi/index.html
Cebeci, T., and Smith, A. M. O., 1984, Analysis of Turbulent Boundary Layers, Academic Press, New York.
Menter,  F. R., 1997, “Eddy Viscosity Transport Equations and Their Relation to the k-ε Model,” J. Fluids Eng.,119, pp. 876–884.
Spalart, P. R., and Allmaras, S. R., 1992, “A One-Equations Turbulence Model for Aerodynamic Flows,” AIAA 30th Aerospace Sciences Meeting, Reno, La Recherche Aerospatiale, 121, pp. 5–21.
Chien,  K. Y, 1982, “Prediction of Channel and Boundary-Layer Flows with a Low-Reynolds-Number Turbulence Model,” AIAA J., 20(1), pp. 33–38.
Eça, L., and Hoekstra, M., 2002, “An Evaluation of Verification Procedures for CFD Applications,” 24th Symposium on Naval Hydrodynamics, Fukuoka, Japan, Office of Naval Research, National Research Council, Washington.
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José, M. Q. B., Jacob, and Eça, L., 2000, “2-D Incompressible Steady Flow Calculations with a Fully Coupled Method,” VI Congresso Nacional de Meca⁁nica Aplicada e Computacional, Aveiro, José M. Q. B. Jacob, Universidade de Aviero, Portugal.
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Eça, L., 2002, “Comparison of Eddy-Viscosity Turbulence Models in a 2-D Turbulent Flow on a Flat Plate,” IST Report D72-16, Instituto Superior Técnico, Lisbon, Universidade Tecnica de Lisboa, Portugal.
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Figures

Grahic Jump Location
Convergence of the friction resistance coefficient with the grid refinement. SST version of the k-ω model.
Grahic Jump Location
Convergence of the friction resistance coefficient with the grid refinement. Algebraic Cebeci and Smith model, one-equation models of Menter and Spalart and Allmaras and Chien’s k-ε model.
Grahic Jump Location
ω profile in the near-wall region at x=0.8727 L. SST version of the k-ω model.
Grahic Jump Location
Convergence of U1 at x=0.8774 L,y=2.034×10−4 L with the grid refinement. SST version of the k-ω model.
Grahic Jump Location
Convergence of U1 at x=0.8774 L,y=2.034×10−4 L with the grid refinement. Algebraic Cebeci and Smith model, one-equation models of Menter and Spalart and Allmaras and Chien’s k-ε model.
Grahic Jump Location
Convergence of νt at x=0.8774 L,y=2.034×10−4 L with the grid refinement. SST version of the k-ω model.
Grahic Jump Location
Convergence of νt at x=0.8774 L,y=2.034×10−4 L with the grid refinement. Algebraic Cebeci and Smith model, one-equation models of Menter and Spalart and Allmaras and Chien’s k-ε model.

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