On a generalized nonlinear K-ε model and the use of extended thermodynamics in turbulence

Theoretical and Computational Fluid Dynamics

Volumn 13, Issue 3, 1999, Pages 161-166

  Speziale, Charles G ^a  

^a BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033247359     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001620050112     Document Type: Article

References (19)

1. Ahmadi, G. (1985). Thermodynamics of multi-temperature fluids with applications to turbulence modeling. Appl. Math. Modeling, 9. 271-274.
2. Ahmadi, G. (1988). Thermodynamically consistent k-ε models for compressible turbulent flows. Appl. Math. Modeling, 12, 391-397.
3. Gatski, T.B., and Speziale, C.G. (1993). On explicit algebraic stress models for complex turbulent flows. J. Fluid Mech., 254, 59-78.
4. Hinze, J.O. (1975). Turbulence, 2nd edn. McGraw-Hill, New York.
5. Huang, Y.N. (1996). Comment on the principle of Material Frame-Indifference in the limit of two-dimensional turbulence. Private communication.
6. Huang, Y.N., and Rajagopal, K.R. (1996). On a generalized nonlinear K-ε model for turbulence that models relaxation effects. Theoret. Comput. Fluid Dynamics, 8, 275-288.
7. Lee, M.J., and Reynolds, W.C. (1985). Numerical experiments on the structure of homogeneous turbulence. Technical Report No. TF-24, Stanford University.
8. Lumley, J.L. (1978). Computational modeling of turbulent flows. Adv. Appl. Mech., 18, 123-176.
9. Reynolds, W.C. (1990). The potential and limitations of direct and large-eddy simulations. In Whither Turbulence? Turbulence at the Crossroads (J.L. Lumley, ed.), Lecture Notes in Physics, Vol. 357, pp. 313-343. Springer-Verlag. Berlin. Heidelberg.
10. Rivlin, R.S. (1957). The relation between the flow of a non-Newtonian fluid and turbulent Newtonian fluid. Q. Appl. Math., 15, 212-215.
11. Speziale, C.G. (1987). On nonlinear K-l and K-ε models of turbulence, J. Fluid Mech., 178, 459-475.
12. Speziale, C.G. (1991). Analytical methods for the development of Reynolds-stress closures in turbulence. Ann. Rev. Fluid Mech., 23, 107-157.
13. Speziale, C.G. (1997). A review of Material Frame-Indifference. Appl. Mech. Rev., 51, 489-504.
14. Speziale, C.G., and Gatski, T.B. (1997). Analysis and modeling of anisotropies in the dissipation rate of turbulence. J. Fluid Mech., 344, 155-180.
15. Speziale, C.G., and Xu, X.H. (1996). Towards the development of second-order closure models for non-equilibrium turbulent flows. Int. J. Heat Fluid Flow, 17, 238-244.
16. Speziale, C.G., Sarkar, S., and Gatski, T.B. (1991). Modeling the pressure-strain correlation of turbulence: an invariant dynamical systems approach. J. Fluid Mech., 227, 245-272.
17. Tritton, D.J. (1977). Physical Fluid Dynamics. Van Nostrand, New York.
18. Truesdell, C., and Noll, W. (1965). The non-linear field theories of mechanics. Handbuch der Physik III/3. Springer-Verlag. Heidelberg.
19. Yoshizawa, A., and Nisizima, S. (1993). A nonequilibrium representation of the turbulent viscosity based on a two-scale turbulence theory. Phys. Fluids A, 5, 3302-3304.