The next-order corrections to quasigeostrophic theory

Journal of the Atmospheric Sciences

Volumn 56, Issue 11, 1999, Pages 1547-1560

  Muraki, David J ^a   Snyder, Chris ^b   Rotunno, Richard ^b  

^a NEW YORK UNIVERSITY   (United States)

^b NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; GRAVITY WAVES; VORTEX FLOW;

EADY EDGE WAVE; NEXT ORDER CORRECTIONS; QUASIGEOSTROPHIC THEORY; ROSSBY NUMBER;

ATMOSPHERIC MOVEMENTS;

ATMOSPHERIC DYNAMICS; MATHEMATICAL METHOD; QUASI-GEOSTROPHIC FLOW; ROSSBY NUMBER;

EID: 0033150092     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1999)056<1547:TNOCTQ>2.0.CO;2     Document Type: Article

References (27)

1. Allen, J. S., 1991: Balance equations based on momentum equations with global invariants of potential enstrophy and energy. J. Phys. Oceanogr., 21, 265-276.
2. _, 1993: Iterated geostrophic intermediate models. J. Phys. Oceanogr., 23, 2447-2461.
3. _, and P. A. Newberger. 1993: On intermediate models for stratified flow. J. Phys. Oceanogr., 23, 2462-2486.
4. Bluestein, H. B., 1992: Synoptic-Dynamic Meteorology in Midlatitudes. Vol. II. Oxford University Press, 594 pp.
5. Bokhove, O., 1997: Slaving principles, balanced dynamics, and the hydrostatic Boussinesq equations. J. Atmos. Sci., 54, 1662-1674.
6. Charney, J. G., 1948: On the scale of atmospheric motions. Geophys. Publ. Oslo, 17 (2), 1-17.
7. _, 1955: The use of primitive equations of motion in numerical prediction. Tellus, 7, 22-26.
8. Gent, P. R., and J. C. McWilliams, 1983a: Consistent balanced models in bounded and periodic domains. Dyn. Atmos. Oceans, 7, 67-93.
9. _, and _, 1983b: Regimes of validity of balanced models. Dyn. Atmos. Oceans, 7, 167-183.
10. _, _, and C. Snyder, 1994: Scaling analysis of curved fronts: Validity of the balance equations and semigeostrophy. J. Atmos. Sci., 51, 160-163.
11. Gill, A. E., 1982: Atmosphere-Ocean Dynamics. Academic Press, 662 pp.
12. Holm, D. D., 1996: Hamiltonian balance equations. Physica D, 98, 379-414.
13. Hoskins, B. J., and F. P. Bretherton, 1972: Atmospheric frontogenesis models: Mathematical formulation and solution. J. Atmos. Sci., 29, 11-37.
14. _, and N. V. West, 1979: Baroclinic waves and frontogenesis. Part II: Uniform potential vorticity jet flows - Cold and warm fronts. J. Atmos. Sci., 36, 1663-1680.
15. _, M. E. McIntyre, and A. W. Robertson, 1985: On the use and significance of isentropic potential vorticity maps. Quart. J. Roy. Meteor. Soc., 111, 877-946.
16. Lorenz, E. N., 1960: Energy and numerical weather prediction. Tellus, 12, 364-373.
17. McWilliams, J. C., 1977: A note on a consistent quasi-geostrophic model in a multiply connected domain. Dyn. Atmos. Oceans, 1, 427-441.
18. _, 1985: A uniformly valid model spanning the regimes of geostrophic and isotropic, stratified turbulence: Balanced turbulence. J. Atmos. Sci., 42, 1773-1774.
19. Mudrick, S. E., 1974: A numerical study of frontogenesis. J. Atmos. Sci., 31, 869-892.
20. Pedlosky, J., 1987: Geophysical Fluid Dynamics. Springer-Verlag, 710 pp.
21. Phillips, N. A., 1954: Energy transformations and meridional circulations associated with simple baroclinic waves in a two-level, quasi-geostrophic model. Tellus, 6, 273-286.
22. Raymond, D. J., 1992: Nonlinear balance and potential-vorticity thinking at large Rossby number. Quart. J. Roy. Meteor. Soc., 118, 987-1015.
23. Snyder, C., W. C. Skamarock, and R. Rotunno, 1991: A comparison of primitive equation and semigeostrophic simulations of baroclinic waves. J. Atmos. Sci., 48, 2179-2194.
24. Vallis, G. K., 1996a: Potential vorticity inversion and balanced equations of motion for rotating and stratified flows. Quart. J. Roy. Meteor. Soc., 122, 291-322.
25. _. 1996b: Approximate geostrophic models for large-scale flow in the ocean and atmosphere. Physica D, 98, 647-651.
26. Warn, T., O. Bokhove, T. G. Shepherd, and G. K. Vallis, 1995: Rossby number expansions, slaving principles and balance dynamics. Quart. J. Roy. Meteor. Soc., 121, 723-729.
27. Xu, Q., 1994: Semibalance model - Connection between geostrophic-type and balanced-type intermediate models. J. Atmos. Sci., 51, 953-970.