Extending the weak-equilibrium condition for algebraic Reynolds stress models to rotating and curved flows

Journal of Fluid Mechanics

Volumn 518, Issue , 2004, Pages 147-155

  Gatski, T B ^a   Wallin, S ^b  

^a NASA LANGLEY RESEARCH CENTER   (United States)

^b SWEDISH DEFENCE RESEARCH AGENCY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; MATHEMATICAL TRANSFORMATIONS; MOTION ESTIMATION; REYNOLDS NUMBER; ROTATION; STRESS ANALYSIS; THERMODYNAMICS;

INERTIAL SYSTEM; REYNOLDS STRESSES; ROTATING MODELS;

FLUID MECHANICS;

EQUILIBRIUM; FLUID FLOW; FORMULA; MATHEMATICAL ANALYSIS; MODEL; REYNOLDS EQUATION;

EID: 8644265899     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004000837     Document Type: Article

References (22)

1. ALVELIUS, K. 1999 Studies of turbulence and its modelling through large eddy- and direct numerical simulation. PhD thesis, Department of Mechanics, KTH, Stockholm, Sweden.
2. ASTARITA, G. 1979 Objective and generally applicable criteria for flow classification. J. Non-Newtonian Fluid Mech. 6, 69-76.
3. ERINGEN, A. C. 1980 Mechanics of Continua. R. E. Krieger, Huntington, NY.
4. GATSKI, T. B. & JONGEN, T. 2000 Nonlinear eddy viscosity and algebraic stress models for solving complex turbulent flows. Prog. Aerospace Sci. 36, 655-682.
5. GATSKI, T. B. & RUMSEY, C. L. 2002 Linear and nonlinear eddy viscosity models. In Closure Strategies for Turbulent and Transitional Flows (ed. B. Launder & N. Sandham), pp. 9-46. Cambridge University Press.
6. GIRIMAJI, S. S. 1996 Fully explicit and self-consistent algebraic Reynolds stress model. Theor. Comput. Fluid Dyn. 8, 387-402.
7. GIRIMAJI, S. S. 1997 A galilean invariant explicit algebraic Reynolds stress model for turbulent curved flows. Phys. Fluids 9, 1067-1077.
8. HELLSTEN, A. 2002 Curvature corrections for algebraic Reynolds stress modeling: a discussion. AIAA J. 40, 1909-191l.
9. JONGEN, T., MACHIELS, L. & GATSKI, T. B. 1998 Predicting noninertial effects with linear and nonlinear eddy-viscosity, and algebriac stress models. Flow Turbul. Combust. 60, 215-234.
10. LAMBALLAIS, E., LESIEUR, M. & MÉTAIS, O. 1996 Effects of spanwise rotation on the stretching in transitional and turbulent channel flow. Intl J. Heat Fluid Flow 17, 324-332.
11. POPE, S. B. 1975 A more general effective viscocity hypothesis. J. Fluid Mech. 72, 331-340.
12. RODI, W. 1972 The prediction of free turbulent boundary layers by use of a two-equation model of turbulence. PhD thesis, University of London.
13. RODI, W. 1976 A new algebraic relation for calculating the Reynolds stresses. Z. Angew. Math. Mech. 56, 219-221.
14. RODI, W. & SCHEUERER, G. 1983 Calculation of curved shear layers with two-equation turbulence models. Phys. Fluids 26, 1422 1436.
15. RUMSEY, C. L., GATSKI, T. B. & MORRISON, J. H. 2000 Turbulence model predictions of strongly-curved flow in a u-duct. AIAA J. 38, 1394-1402.
16. SJÖGREN, T. 1997 Development and validation of turbulence models through experiment and computation. PhD thesis, Department of Mechanics, KTH, Stockholm, Sweden.
17. SPEZIALE, C. G. 1979 Invariance of turbulent closure models. Phys. Fluids 22, 1033-1037.
18. SPEZIALE, C. G., GATSKI, T. B. & MAC GIOLLA MHUIRIS, N. 1990 A critical comparison of turbulent models for homogeneous shear flows in a rotating frame. Phys. Fluids A 2, 1678-1684.
19. SPEZIALE, C. G. & MAC GIOLLA MHUIRIS, N. 1989 On the prediction of equilibrium states in homogeneous turbulence. J. Fluid Mech. 209, 591-615.
20. WALLIN, S. & JOHANSSON, A. V. 2000 An explicit algebraic Reynolds stress model for incompressible and compressible turbulent flows. J. Fluid Mech. 403, 89-132.
21. WALLIN, S. & JOHANSSON, A. V. 2002 Modeling streamline curvature effects in explicit algebraic Reynolds stress turbulence models.Intl J. Heat Fluid Flow 23, 721-730.
22. WEIS, J. & HUTTER, K. 2003 On Euclidean invariance of algebraic Reynolds stress models in turbulence. J. Fluid Mech. 476, 63-68.