On the behavior of two-equation models in nonequilibrium homogeneous turbulence

Physics of Fluids

Volumn 18, Issue 6, 2006, Pages

  Pettersson Reif, Bjorn A ^a   Gatski, T B ^b   Rumsey, C L ^b  

^a NORWEGIAN DEFENCE RESEARCH ESTABLISHMENT FFI   (Norway)

^b NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; LAMINAR FLOW; MATHEMATICAL MODELS; REYNOLDS NUMBER; SHEAR FLOW;

DIFFERENTIAL TRANSPORT EQUATIONS; PSEUDOLAMINAR SOLUTIONS; REYNOLDS-STRESS; TWO-EQUATION MODELS;

TURBULENCE;

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; LAMINAR FLOW; MATHEMATICAL MODELS; REYNOLDS NUMBER; SHEAR FLOW; TURBULENCE;

EID: 33745594581     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2213642     Document Type: Article

References (15)

1. W. K. George and M. M. Gibson, "The self-preservation of homogeneous shear flow turbulence," Exp. FluidsEXFLDU0723-486410.1007/BF00189015 13, 229 (1992).
2. W. K. George and R. E. A. Arndt, Advances in Turbulence (Hemisphere, New York, 1989).
3. P. A. Durbin and B. A. Pettersson-Reif, "On algebraic second moment models," Flow, Turbul. Combust.FTCOF91386-618410.1023/ A:1009961604818 63, 23 (2000).
4. S. B. Pope, "A more general effective viscosity hypothesis," J. Fluid Mech.JFLSA70022-112010.1017/S0022112075003382 72, 331 (1975).
5. C. G. Speziale, T. B. Gatski, and N. Mac Giolla Mhuiris, "A critical comparison of turbulence models for homogeneous shear flows in a rotating frame," Phys. Fluids APFADEB0899-821310.1063/1.857575 2, 1678 (1990).
6. C. G. Speziale and N. Mac Giolla Mhuiris, "On the prediction of equilibrium states in homogeneous turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S002211208900323X 209, 591 (1989).
7. T. B. Gatski and C. G. Speziale, "On algebraic stress models for complex turbulent flows," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112093002034 254, 59 (1993).
8. S. Wallin and A. V. Johansson, "An explicit algebraic Reynolds stress model for incompressible and compressible turbulent flows," J. Fluid Mech.JFLSA70022-112010.1017/S0022112099007004 403, 89 (2000).
9. C. L. Rumsey, B. A. Pettersson-Reif, and T. B. Gatski, "Arbitrary steady-state solutions with the k-epsilon model," AIAA J. 44, 1586 (2006).
10. P. A. Durbin, "Near-wall turbulence closure modeling without 'damping functions'," Theor. Comput. Fluid Dyn.TCFDEP0935-4964 3, 1 (1991).
11. D. C. Wilcox, Turbulence Modeling for CFD (DCW Industries, La Cañada, CA, 1998).
12. T. B. Gatski and C. G. Speziale, "On explicit algebraic stress models for complex turbulent flows," J. Fluid Mech.JFLSA70022-112010.1017/S0022112093002034 254, 59 (1993).
13. B. A. Pettersson-Reif, P. A. Durbin, and A. Ooi, "Modeling rotational effects in eddy-viscosity closures," Int. J. Heat Fluid FlowIJHFD20142-727X10.1016/S0142-727X(99)00056-9 20, 563 (1999).
14. M. T. Lee, "Distortion of homogeneous turbulence by axisymmetric strain and dilatation," Phys. Fluids APFADEB0899-821310.1063/ 1.857331 1, 1541 (1989).
15. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Part I (McGraw-Hill, New York, 1953).