Compressibility effects in the solenoidal dissipation rate equation: A priori assessment and modeling

International Journal of Heat and Fluid Flow

Volumn 27, Issue 4, 2006, Pages 696-706

  Kreuzinger, Johannes ^a   Friedrich, Rainer ^a   Gatski, Thomas B ^b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

Compressibility effects; Direct numerical simulation; Modeling the baroclinic term; Solenoidal dissipation rate equation

Indexed keywords

CHANNEL FLOW; COMPUTER SIMULATION; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; REYNOLDS NUMBER; STATISTICAL METHODS; TURBULENT FLOW; WALL FLOW;

BAROCLINIC TERM; COMPRESSIBILITY EFFECTS; DIRECT NUMERICAL SIMULATION; SOLENOIDAL DISSIPATION RATE EQUATION;

COMPRESSIBLE FLOW;

CHANNEL FLOW; COMPRESSIBLE FLOW; COMPUTER SIMULATION; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; REYNOLDS NUMBER; STATISTICAL METHODS; TURBULENT FLOW; WALL FLOW;

EID: 33745685604     PISSN: 0142727X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatfluidflow.2006.02.014     Document Type: Article

References (19)

1. Aupoix B. Modeling of compressibility effects in mixing layers. J. Turb. 5 (2004) 007
2. Batchelor G.K. Pressure fluctuations in isotropic turbulence. Proc. Camb. Phil. Soc. 47 (1951) 359-374
3. Blaisdell G.A., Mansour N.N., and Reynolds W.C. Compressibility effects on the growth and structure of homogeneous shear flow. J. Fluid Mech. 256 (1993) 443-485
4. Coleman G.N., Kim J., and Moser R.D. A numerical study of turbulent supersonic isothermal-wall channel flow. J. Fluid Mech. 305 (1995) 159-183
5. Foysi H., Sarkar S., and Friedrich R. Compressibility effects and turbulence scalings in supersonic channel flow. J. Fluid Mech. 509 (2004) 207-216
6. George W.K., Beuther P.D., and Arndt R.E.A. Pressure spectra in turbulent free shear flows. J. Fluid Mech. 148 (1984) 155-191
7. Hanjalić K., and Launder B.E. A Reynolds stress model of turbulence and its application to thin shear flows. J. Fluid Mech. 52 (1972) 609-638
8. Huang P.G., Coleman G.H., and Bradshaw P. Compressible turbulent channel flows: DNS results and modeling. J. Fluid Mech. 305 (1995) 185
9. Kim J., Moin P., and Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177 (1987) 133-166
10. Kreuzinger, J., 2006. Kompressibilitäts- und Dissipationseffekte in turbulenten Scherströmungen. Dissertation, TU München, Germany.
11. Krishnamurty V.S., and Shyy W. Study of compressibility modifications to the k-ε turbulence model. Phys. Fluids 9 9 (1997) 2769-2788
12. Mansour N.N., Kim J., and Moin P. Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. J. Fluid Mech. 194 (1988) 15-44
13. Nagano Y., and Shimada M. Rigorous modeling of dissipation-rate equation using direct simulations. JSME Int. J., Ser. B 38 l (1995) 51-59
14. Pantano C., and Sarkar S. A study of compressibility effects in the high-speed turbulent shear layer using direct simulation. J. Fluid Mech. 451 (2002) 271-329
15. Pirozzoli S., Grasso F., and Gatski T.B. Direct numerical simulation and analysis of a spatially evolving supersonic turbulent boundary layer at M = 2.25. Phys. Fluids 16 2 (2004) 530-545
16. Rodi W., and Mansour N.N. Low Reynolds number k-ε modeling with the aid of direct simulation data. J. Fluid Mech. 250 (1993) 509-529
17. Sarkar S. The stabilizing effect of compressibility in turbulent shear flow. J. Fluid Mech. 282 (1995) 163-186
18. Simone A., Coleman G.N., and Cambon C. The effect of compressibility on turbulent shear flow: a rapid distortion theory and direct numerical simulation study. J. Fluid Mech. 330 (1997) 307-338
19. Sinha K., and Candler G.V. Turbulent dissipation-rate equation for compressible flows. AIAA J. 41 6 (2003) 1017-1021