Crude closure for flow with topography through large-scale statistical theory

Nonlinearity

Volumn 13, Issue 3, 2000, Pages 569-600

  Grote, M J ^a   Majda, A J ^b  

^a ETH ZURICH   (Switzerland)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034179014     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/3/304     Document Type: Article

References (24)

1. Holloway G 1986 Eddies, waves, circulation and mixing: statistical geofluid mechanics Ann. Rev. Fluid Mech. 18 91-147
2. McWilliams J C 1984 The emergence of isolated coherent vortices in turbulent flow J. Fluid Mech. 146 21-43
3. Kraichnan R H 1975 Statistical dynamics of two-dimensional flow J. Fluid Mech. 67 155-75
4. Salmon R, Holloway G and Henderschott M C 1976 The equilibrium statistical mechanics of simple quasi-geostrophic models J. Fluid Mech. 75 691-703
5. Montgomery D and Joyce G 1974 Statistical mechanics of negative temperature states Phys. Fluids 17 1139-45
6. Pointin Y B and Lundgren T S 1976 Statistical mechanics of two dimensional vortices in a bounded container Phys. Fluids 10 1459-70
7. Kraichnan R H and Montgomery D 1980 Two-dimensional turbulence Rep. Prog. Phys. 43 548-619
8. Caglioti E, Lions P L, Marchioro C and Pulvirenti M 1992 A special class of stationary flows for two-dimensional Euler equations: a statistical mechanics description Commun. Math. Phys. 143 501-25
9. Miller J 1990 Statistical mechanics of Euler equations in two dimensions Phys. Rev. Lett. 65 2137-40
10. Miller J, Weichman P B and Cross M C 1992 Statistical mechanics, Euler's equation and Jupiter's red spot Phys. Rev. A 45 2328-59
11. Robert R 1991 A maximum entropy principle for two-dimensional Euler equations J. Stat. Phys. 65 531-53
12. Turkington B 1999 Statistical equilibrium measures and coherent states in two-dimensional turbulence Commun. Pure Appl. Math. 52 781-809
13. DiBattista M T, Majda A J and Turkington B 1998 Prototype geophysical vortex structures via large-scale statistical theory Geophys. Astrophys. Fluid Dynam. 89 235-83
14. Majda A and Holen M 1997 Dissipation, topography and statistical theories for large scale coherent structure Commun. Pure. Appl. Math. 50 1183-234
15. Grote M J and Majda A J 1997 Crude closure dynamics through large scale statistical theories Phys. Fluids 9 3431-42
16. Holloway G and Eby M 1993 Hybrid statistical mechanics - ocean circulation for efficient large scale modelling Proc. Oceans '93 (Victoria BC, Canada) vol 1 (Piscataway, NJ: IEEE) p 323
17. Holloway G 1992 Representing topographic stress for large-scale ocean models J. Phys. Oceanography 22 1033-46
18. Carnevale G and Frederiksen J 1987 Nonlinear stability and statistical mechanics of flow over topography J. Fluid Mech. 175 157-81
19. Bretherton F B and Haidvogel D B 1976 Two-dimensional turbulence above topography J. Fluid Mech. 78 129-54
20. Wang J and Vallis G 1994 Emergence of Fofonoff states in inviscid and viscous ocean circulation models J. Marine Res. 52 83-127
21. Treguier A 1989 Topographically generated steady currents in barotropic turbulence Geophys. Astr. Fluid Dynam. 47 43-68
22. Pedlosky J 1986 Geophysical Fluid Dynamics (New York: Springer)
23. Turkington B and Whitaker N 1996 Statistical equilibrium computations of coherent structures in turbulent shear layers SIAM J. Sci. Comput. 17 1414-33
24. Griffa A and Salmon R 1989 Wind-driven ocean circulation and equilibrium statistical mechanics J. Marine Res. 47 457-92