Rapid distortion theory for compressible homogeneous turbulence under isotropic mean strain

Physics of Fluids

Volumn 8, Issue 10, 1996, Pages 2692-2705

  Blaisdell, G A ^a   Coleman, G N ^b   Mansour, N N ^c  

^a Purdue University   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c NASA AMES RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SIMULATION; TURBULENCE;

EID: 0030475928     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869055     Document Type: Article

References (19)

1. V. A. Sabelnikov, "Pressure fluctuations generated by uniform distortion of homogeneous turbulence," Fluid Mech. - Sov. Res. 4, 46 (1975).
2. P. A. Durbin and O. Zeman, "Rapid distortion theory for homogeneous compressed turbulence with application to modelling," J. Fluid Mech. 242, 349 (1992).
3. L. Jacquin, C. Cambon, and E. Blin, "Turbulence amplification by a shock wave and rapid distortion theory," Phys. Fluids A 5, 2539 (1993).
4. C. Cambon, G. N. Coleman, and N. N. Mansour, "Rapid distortion analysis and direct simulation of compressible homogeneous turbulence at finite Mach number," J. Fluid Mech. 257, 641 (1993).
5. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978).
6. G. N. Coleman and N. N. Mansour, "Modeling the rapid spherical compression of isotropic turbulence," Phys. Fluids A 3, 2255 (1991).
7. G. N. Coleman and N. N. Mansour, "Simulation and modeling of homogeneous compressible turbulence under isotropic mean compression," in Turbulent Shear Flows 8 (Springer, Berlin, 1992).
8. G. A. Blaisdell, N. N. Mansour, and W. C. Reynolds, "Numerical simulations of compressible homogeneous turbulence," Report TF-50, Department of Mechanical Engineering, Stanford University, 1991.
9. J. C. R. Hunt and D. J. Carruthers, " Rapid distortion theory and the 'problems' of turbulence," J. Fluid Mech. 212, 497 (1990).
10. R. S. Rogallo, "Numerical experiments in homogeneous turbulence," NASA Technical Memorandum 81315, 1981.
11. O. Zeman, "Dilatational dissipation: The concept and application in modeling compressible mixing layers," Phys. Fluids A 2, 178 (1990).
12. O. Zeman, "On the decay of compressible isotropic turbulence," Phys. Fluids A 3, 951 (1991).
13. S. Sarkar, G. Ericbacher, and M. Y. Hussaini, "The analysis and modeling of dilatational terms in compressible turbulence," J. Fluid Mech. 227, 473 (1991).
14. S. Sarkar, "The pressure-dilatation correlation in compressible flows," Phys. Fluids A 4, 2674 (1992).
15. R. Aris, Vectors, tensors, and the basic equations of fluid mechanics (Prentice-Halll, New Jersey, 1962).
16. T. M. Apostol, Mathematical Analysis (Addison-Wesley, Reading, 1974).
17. B. Aupoix, G. A. Blaisdell, W. C. Reynolds, and O. Zeman, "Modeling the turbulent kinetic energy equation for compressible, homogeneous turbulence," in Proceedings of the 1990 Summer Program (NASA Ames/ Stanford Center for Turbulence Research, 1990), pp. 63-74.
18. G. P. Zank and W. M. Matthaeus, "The equations of nearly incompressible fluids. I. Hydrodynamics, turbulence, and waves," Phys. Fluids A 3, 69 (1991).
19. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).