Extreme vorticity growth in Navier-Stokes turbulence

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 374, Issue 6, 2010, Pages 861-865

  Schumacher, Jörg ^a   Eckhardt, Bruno ^b   Doering, Charles R ^c  

^a ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

^b PHILIPPS UNIVERSITY MARBURG   (Germany)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Enstrophy growth; Homogeneous isotropic turbulence

Indexed keywords

NAVIER STOKES EQUATIONS; TURBULENCE; VELOCITY;

DEGREE OF ACCURACY; ENSEMBLE-AVERAGED; ENSTROPHY; HOMOGENEOUS ISOTROPIC TURBULENCE; NAVIER-STOKES TURBULENCE; SPATIALLY RESOLVED; STATISTICAL TURBULENCE; VARIATIONAL PROBLEMS;

VORTICITY;

EID: 73249140158     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2009.11.078     Document Type: Article

References (26)

1. She Z.-S., Jackson E., and Orszag S.A. Nature 344 (1991) 226
2. Ishihara T., Kaneda Y., Yokokawa M., Itakura K., and Uno A. J. Fluid Mech. 592 (2007) 335
3. Burgers J.M. Adv. Appl. Mech. 1 (1948) 171
4. Batchelor G.K. J. Fluid Mech. 20 (1964) 645
5. Lundgren T.S. Phys. Fluids 25 (1982) 2193
6. Kerr R.M. J. Fluid Mech. 153 (1985) 31
7. Pullin D.I., and Saffman P.G. Annu. Rev. Fluid Mech. 30 (1998) 31
8. Horiuti K., and Fujisawa T. J. Fluid Mech. 595 (2008) 341
9. Boratav O.N., Pelz R.B., and Zabusky N.J. Phys. Fluids A 4 (1994) 581
10. Hatakeyama N., and Kambe T. Phys. Rev. Lett. 79 (1997) 1257
11. Bustamente M.D., and Kerr R.M. Physica D 237 (2008) 1912
12. Hou T.Y., and Li R. J. Nonlinear Sci. 16 (2006) 639
13. Schumacher J., Sreenivasan K.R., and Yakhot V.V. New J. Phys. 9 (2007) 89
14. D.A. Donzis, K.R. Sreenivasan, J. Fluid Mech. (2009), in press
15. Belinicher V.I., and L'vov V.S. Sov. Phys. JETP 66 (1987) 303
16. L. Lu, Ph.D. Dissertation, Department of Mathematics, University of Michigan, 2006
17. Lu L., and Doering C.R. Indiana Univ. Math. J. 57 (2008) 2693
18. von Kármán T., and Howarth L. Proc. Roy. Soc. London A 164 (1938) 192
19. Rotta J.C. Turbulente Strömungen (1997), Teubner, Stuttgart
20. Davidson P.A. Turbulence (2004), Oxford University Press, Oxford
21. Sreenivasan K.R., and Antonia R.A. Annu. Rev. Fluid Mech. 29 (1997) 435
22. Ishihara T., Gotoh T., and Kaneda Y. Annu. Rev. Fluid Mech. 41 (2009) 165
23. Jimenez J., and Wray A. J. Fluid Mech. 373 (1998) 255
24. Hamlington P.E., Schumacher J., and Dahm W.J.A. Phys. Rev. E 77 (2008) 026303
25. Hamlington P.E., Schumacher J., and Dahm W.J.A. Phys. Fluids 20 (2008) 111703
26. Zeff B.W., Lanterman D.D., McAllister R., Roy R., Kostelich E.J., and Lathrop D.P. Nature 421 (2003) 146