A study of the evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence

Journal of Fluid Mechanics

Volumn 381, Issue , 1999, Pages 141-174

  Ooi, Andrew ^a   Martin, Jesus ^a   Soria, Julio ^a   Chong, M S ^b  

^a MONASH UNIVERSITY   (Australia)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ENERGY DISSIPATION; KINEMATICS; PARTICLES (PARTICULATE MATTER); TENSORS; VELOCITY;

CONDITIONAL MEAN TRAJECTORIES; DIRECT NUMERICAL SIMULATION; INVARIANTS; KINEMATIC VORTICITY NUMBER; LAGRANGIAN EVOLUTION; VELOCITY GRADIENT TENSORS;

TURBULENT FLOW;

EID: 0032666920     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098003681     Document Type: Article

References (32)

1. ASHURST, W., KERSTEIN, A., KERR, R. & GIBSON, C. 1987 Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence. Phys. Fluids 25, 2343-2353.
2. BATCHELOR, G. 1960 The Theory of Homogeneous Turbulence. Cambridge University Press.
3. BLACKBURN, H. M., MANSOUR, N. N. & CANTWELL, B. J. 1996 Topology of fine-scale motions in turbulent channel flow. J. Fluid Mech. 310, 269-292.
4. CANTWELL, B. J. 1992 Exact solution of a restricted Euler equation for the velocity gradient tensor. Phys. Fluids 4, 782-793.
5. CHEN, J., CHONG, M. S., SORIA, J., SONDERGAARD, R., PERRY, A. E., ROGERS, M., MOSER, R. & CANTWELL, B. J. 1990 A study of the topology of dissipating motions in direct numerical simulations of time-developing compressible and incompressible mixing layers. In Proc. Summer Program 1990. Centre for Turbulence Research, Stanford University.
6. CHENG, W. 1996 Study of the velocity gradient tensor in turbulent flow. PhD thesis. Stanford University. SUDAAR 685.
7. CHONG, M., PERRY, A. & CANTWELL, B. 1990 A general classification of three-dimensional flow fields. Phys. Fluids 2, 765-777.
8. CHONG, M., SORIA, J., PERRY, A., CHACIN, J., CANTWELL, B. J. & NA, Y. 1998 A study of the tubulence structures of wall-bounded shear flows using dns data. J. Fluid Mech. 357, 225-248.
9. CORRSIN, S. 1963 Estimates of the relations between Eulerian and Lagrangian scales in large Reynolds number turbulence. J. Atmos. Sci. 20, 115-119.
10. DOPAZO, C., VALIÑO, L. & MARTIN, J. 1993 Velocity gradients in turbulent flows. Stochastic models. In Proc. 9th Symp. on Turbulent Shear Flows, Kyoto, Japan.
11. ESWARAN, V. & POPE, S. 1988 An examination of forcing in direct numerical simulations of turbulence. Computers Fluids 16, 257-278.
12. GIRIMAJI, S. & POPE, S. 1990o A diffusion model for velocity gradients in turbulence. Phys. Fluids 2, 242-256.
13. GIRIMAJI, S. & POPE, S. 1990b Material-element deformation in isotropic turbulence. J. Fluid Mech. 220, 427-458.
14. GIRIMAJI, S. & SPEZIALE, C. 1995 A modified restricted Euler equation for turbulent flows with mean velocity gradients. Phys. Fluids 7, 1438-1446.
15. JIMÉNEZ, J., WRAY, A., SAFFMAN, P. & ROGALLO, R. 1993 The structure of intense vorticity in isotropic turbulence. J. Fluid Mech. 255, 65-90.
16. KERR, R. 1987 Histograms of helicity and strain in numerical turbulence. Phys. Rev. Lett. 59, 783-786.
17. MARTIN, J., OOI, A., CHONG, M. & SORIA, J. 1998 Dynamics of the velocity gradient tensor invariants in isotropic turbulence. Phys. Fluids 10, 2336-2346.
18. ORSZAG, S. & PATTERSON, G. J. 1972 Numerical simulation of three-dimensional homogeneous isotropic turbulence. Phys. Rev. Lett. 28, 76-79.
19. PERRY, A. E. & CHONG, M. S. 1987 A description of eddying motions and flow patterns using critical-point concepts. Ann. Rev. Fluid Mech. 19, 125-155.
20. PERRY, A. E. & CHONG, M. S. 1994 Topology of flow patterns in vortex motions and turbulence. Appl. Sci. Res. 53, 357-374.
21. SEYED, S. & VEERAVALLI, S. 1994 Local isotropy in turbulent boundary layers at high Reynolds number. J. Fluid Mech. 268, 333-372.
22. SHE, Z., JACKSON, E. & ORSZAG, S. 1991 Structure and dynamics of homogeneous turbulence: models and simulations. Proc. R. Soc. Lond. A 434, 101-124.
23. SIGGIA, E. & PATTERSON, G. 1978 Intermittency effects in a numerical simulation of stationary three-dimensional turbulence. J. Fluid Mech. 86, 567-592.
24. SORIA, J. & CANTWELL, B. J. 1994 Topological visualisation of focal structures in free shear flows. Appl. Sci. Res. 53, 375-386.
25. SORIA, J., SONDERGAARD, R., CANTWELL, B. J., CHONG, M. S. & PERRY, A. E. 1994 A study of the fine-scale motions of incompressible time-developing mixing layers. Phys. Fluids 6, 871-884.
26. SULLIVAN, N., MAHALINGAM, S. & KERR, R. 1994 Deterministic forcing of homogeneous, isotropic turbulence. Phys. Fluids 6, 1612-1614.
27. TRUESDELL, C. 1954 The Kinematics of Vorticity. Indiana University Press.
28. VIEILLEFOSSE, P. 1984 Internal motion of a small element of fluid in an inviscid flow. Physica 125A, 150-162.
29. VINCENT, A. & MENEGUZZI, M. 1991 The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1-20.
30. YEUNG, P. 1994 Direct numerical simulation of two-particle relative diffusion in isotropic turbulence. Phys. Fluids 6, 3416-3428.
31. YEUNG, P., GIRIMAJI, S., & POPE, S. 1988 Eulerian and Lagrangian statistics from a high-resolution direct simulation of stationary homogeneous turbulence. Tech. Rep. FDA-88-02. Sibley School of Mech. & Aero. Engng., Cornell University.
32. YEUNG, P. & POPE, S. B. 1989 Lagrangian statistics from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 207, 531-586.