Improved variational principle for bounds on energy dissipation in turbulent shear flow

Physica D: Nonlinear Phenomena

Volumn 101, Issue 1-2, 1997, Pages 178-190

  Nicodemus, Rolf ^a   Grossmann, Siegfried ^a   Holthaus, Martin ^a  

^a PHILIPPS UNIVERSITY MARBURG   (Germany)

Author keywords

Background flow method; Energy dissipation; Rigorous estimates; Turbulent shear flows

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; SHEAR FLOW; TURBULENT FLOW; VARIATIONAL TECHNIQUES;

BACKGROUND FLOW METHOD;

ENERGY DISSIPATION;

EID: 0031078492     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00210-2     Document Type: Article

References (15)

1. L.N. Howard, Ann. Rev. Fluid Mech. 4 (1972) 473.
2. F.H. Busse, J. Fluid Mech. 41 (1970) 219.
3. F.H. Busse, Adv. in Appl. Mech. 18 (1978) 77.
4. F.H. Busse, in: Nonlinear Physics of Complex Systems - Current States and Future Trends, eds. J. Parisi, S.C. Müller and W. Zimmermann (Springer, Berlin, 1996).
5. R.R. Kerswell and A.M. Soward, J. Fluid Mech. (1996) in press.
6. C.R. Doering and P. Constantin, Phys. Rev. Lett. 69 (1992) 1648.
7. C.R. Doering and P. Constantin, Phys. Rev. E 49 (1994) 4087.
8. E. Hopf, Math. Ann. 117 (1941) 764.
9. C. Marchioro, Physica D 74 (1994) 395.
10. T. Gebhardt, S. Grossmann, M. Holthaus and M. Löhden, Phys. Rev. E 51 (1995) 360.
11. P. Constantin and C.R. Doering, Phys. Rev. E 51 (1995) 3192.
12. C.R. Doering and P. Constantin, Phys. Rev. E 53 (1996) 5957.
13. R.R. Kerswell, Physica D.
14. D.D. Joseph, Stability of Fluid Motions I, II (Springer, Berlin, 1976).
15. P.G. Drazin and W.H. Reid, Hydrodynamic Stability (Cambridge University Press, Cambridge, 1981).