Towards lowering dissipation bounds for turbulent flows

European Physical Journal B

Volumn 10, Issue 2, 1999, Pages 385-396

  Nicodemus, R ^a,b   Grossmann, S ^a   Holthaus, Martin ^a,c  

^a PHILIPPS UNIVERSITY MARBURG   (Germany)

^b ROBERT BOSCH GMBH   (Germany)

^c UNIVERSITY OF MUNICH   (Germany)

Author keywords

47.20.Ft Instability of shear flows; 47.27.Jv High Reynolds number turbulence; 47.27.Nz Boundary layer and shear turbulence

Indexed keywords

EID: 0000618681     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050868     Document Type: Article

References (31)

1. L.N. Howard, Annu. Rev. Fluid Mech. 4, 473 (1972).
2. C.R. Doeriug, P. Constantin, Phys. Rev. E 49, 4087 (1994).
3. K.R. Sreenivasan, Phys. Fluids 27, 1048 (1984).
4. D.P. Lathrop, J. Fineberg, H.L. Swinney, Phys. Rev. Lett. 68, 1515 (1992).
5. D.P. Lathrop, J. Fineberg, H.L. Swinney, Phys. Rev. A 46, 6390 (1992).
6. B. Castaing, G. Gunaratne, F. Heslot, L. Kadanoff, A. Libchaber, S. Thomae, X.-Z. Wu, S. Zaleski, G. Zanetti, J. Fluid Mech. 204, 1 (1989).
7. X.-Z. Wu, A. Libchaber, Phys. Rev. A 43, 2833 (1991).
8. D. Lohse, Phys. Rev. Lett. 73, 3223 (1994).
9. S. Grossmann, Phys. Rev. E 51, 6275 (1995).
10. E. Hopf, Math. Annalen 117, 764 (1941).
11. F.H. Busse, J. Fluid Mech. 41, 219 (1970).
12. F.H. Busse, Adv. Appl. Mech. 18, 77 (1978).
13. P. Constantin, C.R. Doering, Phys. Rev. E 51, 3192 (1995).
14. C.R. Doering, P. Constantin, Phys. Rev. E 53, 5957 (1996).
15. R. Nicodemus, S. Grossmann, M. Holthaus, Physica D 101, 178 (1997).
16. R. Nicodemus, S. Grossmann, M. Holthaus, Phys. Rev. Lett. 79, 4170 (1997).
17. R. Nicodemus, S. Grossmann, M. Holthaus, Phys. Rev. E 56, 6774 (1997).
18. R. Nicodemus, S. Grossmann, M. Holthaus, J. Fluid Mech. 363, 281 (1998).
19. R. Nicodemus, S. Grossmann, M. Holthaus, J. Fluid Mech. 363, 301 (1998).
20. R.R. Kerswell, Physica D 100, 355 (1997).
21. H. Reichardt, Gesetzmäßigkeiten der geradlinigen turbulenten Couetteströmung. Mitteilungen aus dem MaxPlanck-Institut für Strömungsforschung, Göttingen, 22 (1959).
22. D.D. Joseph, Stability of Fluid Motions I & II (Springer-Verlag, Berlin, 1976).
23. P.G. Drazin, W.H. Reid, Hydrodynamic Stability (Cambridge University Press, Cambridge, 1981).
24. B. Straughan, The, Energy Method, Stability, and Nonlinear Convection (Springer-Verlag, New York, 1992).
25. L. Boberg, U. Brosa, Z. Naturforsch. 43a, 697 (1988).
26. T. Gebhardt, S. Grossmann, Phys. Rev. E 50, 3705 (1994).
27. L.N. Trefethen, A.E. Trefethen, S.C. Reddy. T.A. Driscoll, Science 261, 578 (1993).
28. J.M. Hamilton, J. Kim, F. Waleffe, J. Fluid Mech. 287, 317 (1995).
29. S. Grossmann, The Onset of Shear Flow Turbulence (Preprint, Philipps-Universität Marburg, 1999); Rev. Mod. Phys. (submitted).
30. S. Grossmann, The Onset of Shear Flow Turbulence (Preprint, Philipps-Universität Marburg, 1999); Rev. Mod. Phys. (submitted).
31. H. Effinger, S. Grossmann, Z. Phys. B 66, 289 (1987).