Dynamics of velocity gradient invariants in turbulence: Restricted Euler and linear diffusion models

Physics of Fluids

Volumn 10, Issue 8, 1998, Pages 2012-2025

  Martín, Jesús ^a,c   Dopazo, César ^a   Valiño, Luis ^b  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b CSIC   (Spain)

^c UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000110755     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869717     Document Type: Article

References (15)

1. M. S. Chong, A. E. Perry, and B. J. Cantwell, "A general classification of three-dimensional flow fields," Phys. Fluids A 2, 765 (1990).
2. J. H. Chen, M. S. Chong, J. Soria, R. Sondergaard, A. E. Perry, M. Rogers, R. Moser, and B. J. Cantwell, "A study of the topology of dissipating motions in direct numerical simulations of time-developing compressible and incompressible mixing layers," Proceedings of the 1990 CTR Summer Program, Stanford, CA (1990).
3. R. Sondergaard, J. Chen, J. Soria, and B. Cantwell, "Local topology of small scale motions in turbulent shear flows," 8th Symposium on Turbulent Shear Flows, Munich, Germany (1991), pp. 16.1.1-16.1.6.
4. B.J. Cantwell, "Exact solution of a restricted Euler equation for the velocity gradient tensor," Phys. Fluids A 4, 782 (1992).
5. P. Viellefosse, "Local interaction between vorticity and shear in a perfect incompressible fluid," J. Phys. (Paris) 43, 837 (1982).
6. B. J. Cantwell, "On the behavior of velocity gradient tensor invariants in direct numerical simulations of turbulence," Phys. Fluids A 5, 2008 (1993).
7. J. Soria, M. S. Chong, R. Sondergaard, A. E. Perry, and B. J. Cantwell, "A study of the fine scale motions of incompressible time-developing mixing layers," Phys. Fluids A 6, 871 (1994).
8. C. Dopazo, L. Valiño, and J. Martin, "Velocity gradients in turbulent flows. Stochastic models," Ninth Symposium on "Turbulent shear flows," Kyoto, Japan, August 16-18 (1993).
9. J. Hierro (private communication).
10. C. Dopazo and E. E. O'Brien, "An approach to the auto ignition of a turbulent mixture" Acta Astron. 1, 1239 (1974).
11. J. Martín, A. Ooi, C. Dopazo, M. S. Chong, and J. Soria, "The inverse diffusion time scale of velocity gradients in homogeneous isotropic turbulence," Phys. Fluids 9, 814 (1997).
12. S. S. Girimaji and S. B. Pope, "A diffusion model for velocity gradients in turbulence," Phys. Fluids A 2, 242 (1990).
13. R. Betchov, "An inequality concerning the production of vorticity in isotropic turbulence," J. Fluid Mech. 1, 497 (1956).
14. J. Jiménez, A. Wray, P. Saffman, and R. Rogallo, "The structure of intense vorticity in homogeneous turbulence," J. Fluid Mech. 255, 65 (1993).
15. C. Dopazo, in Turbulent Reacting Flows, edited by P. A. Libby and F. A. Williams (Academic, New York, 1994), Chap. 7, p. 375.