Kolmogorov flow in three dimensions

Physics of Fluids

Volumn 9, Issue 1, 1997, Pages 164-170

  Shebalin, John V ^a   Woodruff, Stephen L ^a  

^a NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INCOMPRESSIBLE FLOW; NAVIER-STOKES EQUATIONS; THREE-DIMENSIONAL FLOW; TURBULENCE;

EID: 0030957118     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869159     Document Type: Article

References (36)

1. O. Reynolds, "An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels," Philos. Trans. R. Soc. London Part III, 935 (1883).
2. J. Laufer, "The structure of turbulence in fully developed pipe flow," NACA Rep. 1174 (1954).
3. A. K. M. F. Hussain and W. C. Reynolds, "Measurements in fully developed turbulent channel flow," J. Fluids Eng. 97, 568 (1975).
4. H.-P. Kreplin and H. Eckelmann, "Behavior of the three fluctuating velocity components in the wall region of a turbulent channel flow," Phys. Fluids 22, 1233 (1979).
5. P. S. Klebanoff, "Characteristics of turbulence in a boundary layer," NACA Rep. 1247 (1955).
6. L. P. Purtell and P. S. Klebanoff, "Turbulent boundary layer at low Reynolds number," Phys. Fluids 24, 802 (1981).
7. F. H. Champagne, V. G. Harris, and S. Corrsin, "Experiments on nearly homogeneous turbulent shear flow," J. Fluid Mech. 41, 81 (1970).
8. V. G. Harris, J. A. Graham, and S. Corrsin, "Further experiments on nearly homogeneous turbulent shear flow," J. Fluid Mech. 81, 657 (1977).
9. S. Tavoularis and S. Corrsin, "Experiments in nearly homogeneous turbulent shear flow with a uniform temperature gradient. Part 1," J. Fluid Mech. 104, 311 (1981).
10. S. Tavoularis and U. Karnik, "Further experiments on the evolution of turbulent stresses and scales to uniformly sheared turbulence," J. Fluid Mech. 204, 457 (1989).
11. D. C. Leslie, "Analysis of a strongly sheared, nearly homogeneous turbulent shear flow," J. Fluid Mech. 98, 435 (1980).
12. R. S. Rogallo, "An ILLIAC program for the numerical simulation of homogeneous incompressible turbulence," NASA TM-73203 (1977).
13. W. J. Feiereisen, W. C. Reynolds, and J. H. Ferziger, "Numerical simulation of a compressible, homogeneous, turbulent shear flow," Report No. TF-13, Stanford Univ., California (1981).
14. R. S. Rogallo, "Numerical experiments in homogeneous turbulence," NASA TM-81315 (1981).
15. S. Sarkar, G. Erlebacher, and M. Y. Hussaini, "Direct simulation of compressible turbulence in a shear flow," Theoret. Comput. Fluid Dynamics 2, 319 (1991).
16. G. Sivashinsky and V. Yakhot, "Negative viscosity effect in large-scale flows," Phys. Fluids 28, 1040 (1985).
17. G. Sivashinsky, "Weak turbulence in periodic flows," Physica D 17, 243 (1985).
18. Z. S. She, "Metastability and vortex pairing in the Kolmogorov flow," Phys. Lett. A 124, 161 (1987).
19. Z. S. She, "Large-scale dynamics and transition to turbulence," in Current Trends in Turbulence Research, edited by H. Branover, M. Mond, and Y. Unger (AIAA, Washington, D.C., 1988).
20. A. L. Frenkel, "Stability of an oscillating Kolmogorov flow," Phys. Fluids A 3, 1718 (1991).
21. A. Théss, "Instabilities in two-dimensional spatially periodic flows. Part 1: Kolmogorov flow," Phys. Fluids A 4, 1718 (1992).
22. D. Armbruster, R. Heiland, E. J. Kostelich, and B. Nicolaenko, "Phase space analysis of bursting behavior in Kolmogorov flow," Physica D 58, 392 (1992).
23. V. Borue and S. A. Orszag, "Numerical siudy of three-dimensional Kolmogorov flow at high Reynolds numbers," J. Fluid Mech. 306, 293 (1996).
24. P. G. Drazin and W. H. Reid, Hydrodynamic Stability (Cambridge University, Cambridge, England, 1981), pp. 153-64.
25. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, 2nd ed. (Pergamon, New York, 1987), pp. 95-98.
26. E. Ott, Chaos in Dynamical Systems (Cambridge University, Cambridge, England, 1993), Chap. 3.
27. L. D. Meshalkin and Ia. G. Sinai, "Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous fluid," J Appl. Math. Mech. 25, 1700 (1961).
28. J. Gazdag, "Time-differencing schemes and transform methods," J. Comput. Phys. 20, 196 (1976).
29. G. S. Patterson, Jr. and S. A. Orszag, "Spectral calculation of isotropic turbulence: Efficient removal of aliasing interaction," Phys. Fluids 14, 2538 (1971).
30. B. E. Launder, G. J. Reece, and W. Rodi, "Progress in the development of a Reynolds-stress closure," J. Fluid Mech. 68, 537 (1975).
31. G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University, Cambridge, England, 1953), Chap. VI.
32. C. G. Speziale and P. A. Durbin, "Local anistropy in strained turbulence at high Reynolds numbers," J. Fluids Eng. 113, 707 (1991).
33. C. J. Lawn, "The determination of the rate of dissipation in turbulent pipe flow," J. Fluid Mech. 48, 477 (1970).
34. W. D. McComb, The Physics of Fluids Turbulence (Clarendon, Oxford, England, 1990), p. 82.
35. C. W. Van Atta and W. Y. Chen, "Measurements of spectral energy transfer in grid turbulence," J. Fluid Mech. 38, 743 (1969).
36. N. Platt, L. Sirovich, and N. Fitzmaurice, "An investigation of chaotic Kolmogorov flow," Phys. Fluids A 3, 681 (1991).