Geostrophic adjustment problems in a polar basin

Atmosphere - Ocean

Volumn 50, Issue 2, 2012, Pages 134-155

  Luneva, Maria V ^a   Willmott, Andrew J ^a   Maqueda, Miguel Angel Morales ^a  

^a NATIONAL OCEANOGRAPHY CENTRE   (United Kingdom)

Author keywords

Geostrophic adjustment; Kelvin waves; Polar circulation; Vorticity waves

Indexed keywords

BOTTOM FRICTION; GEOSTROPHIC FLOW; KELVIN WAVE; NUMERICAL MODEL; OCEANIC CIRCULATION; PLANETARY WAVE; POLAR REGION; ROSSBY WAVE; TOPOGRAPHY; VORTICITY;

EID: 84863847165     PISSN: 07055900     EISSN: 14809214     Source Type: Journal    
DOI: 10.1080/07055900.2012.659719     Document Type: Article

References (24)

1. ABRAMOWITZ, M. and I. STEGUN. 1964. Handbook of mathematical functions. New York: Dover.
2. ANTENUCCI, J. and J. IMBERGER. 2001. Energetics of long internal waves in large lakes. Limnol. Oceanogr. 46: 1760-1773.
3. BOYCE, W.E. and R.C. DIPRIMA. 1992. Elementary differential equations and boundary value problems 5th edition. New York: Wiley.
4. BRINGER, A.F.C. and D.E. STEVENS. 1980. Long atmospheric waves and the polar plane approximation to the earth's spherical geometry. J. Atmos. Sci. 37: 534-544.
5. CSANADY, G.T. 1967. Large-scale motions in the Great Lakes. J. Geophys. Res. 72 (16): 4151-4161.
6. GILL, A.E. 1976. Adjustment under gravity in a rotating channel. J. Fluid. Mech. 77: 603-621.
7. GILL, A.E. 1982. Atmosphere-Ocean dynamics. New York: Academic Press.
8. GILL, A.E.; M.K. DAVEY, E.R. JOHNSON and P.E. LINDEN. 1986. Rossby adjustment over a step. J. Mar. Res. 44: 713-738.
9. GRIMSHAW, R.H.J.; A.J. WILLMOTT and P.D. KILLWORTH. 1998. Energetics of linear geostrophic adjustment in stratified rotating fluids. J. Mar. Res. 56: 1203-1224.
10. HARLANDER, U. 2005. A high latitude quasi-geostrophic delta-plane model derived from spherical coordinates. Tellus, 57A: 43-54.
11. HAURWITZ, B. 1975. Long circumpolar atmospheric waves. Arch. Meteor. Geophis. Bioklim. A, 24: 1-18.
12. HERMANN, A.J.; P.R. RHINES and E.R. JOHNSON. 1989. Nonlinear Rossby adjustment in a channel: beyond Kelvin waves. J. Fluid Mech. 205: 469-502.
13. JOHNSON, E.R. 1985. Topographic waves and the evolution of coastal currents. J. Fluid. Mech. 160: 499-509.
14. KILLWORTH, P.D. 1992. The time-dependant collapse of a rotating fluid cylinder. J. Phys. Oceanogr. 22: 390-397.
15. LAMB, H. 1932. Hydrodynamics 6th edition. Cambridge, UK: Cambridge University Press.
16. LEBLOND, P.H. 1964. Planetary waves in a symmetrical polar basin. Tellus, XVI: 503-512.
17. Madec, G. 2008. NEMO ocean engine. Note du Pole de modélisation, Institut Pierre-Simon Laplace (IPSL), France, No 27 ISSN No 1288-1619.
18. Madec, G., Delecluse, P., Imbard, M., and Lévy, C. 1998. OPA 8.1 Ocean General Circulation Model reference manual. Note du Pole de modélisation, Institut Pierre-Simon Laplace (IPSL), France, No 11, 91 pp.
19. OU, H.W. 1984. Geostrophic adjustment: A mechanism for frontogenesis. J. Phys. Oceanogr. 14: 994-1000.
20. OU, H.W. 1986. On the energy conversion during geostrophic adjustment. J. Phys. Oceanogr. 16: 2203-2204.
21. STOCKER, R. and J. IMBERGER. 2003. Energy partitioning and horizontal dispersion in the surface layer of a stratified lake. J. Phys. Oceanogr. 33: 512-529.
22. WAKE, G.W.; G.N. IVEY, J. IMBERGER, N.R. MCDONALD and R. STOCKER. 2004. Baroclinic geostrophic adjustment in a rotating circular basin. J. Fluid Mech. 515: 63-86.
23. WAKE, G.W.; G.N. IVEY and J. IMBERGER. 2005. The temporal evolution of baroclinic basin-scale waves in a rotating circular basin. J. Fluid Mech. 523: 367-392.
24. WILLMOTT, A.J. and E.R. JOHNSON. 1995. On geostrophic adjustment of a two-layer, uniformly rotating fluid in the presence of a step escarpment. J. Mar. Res. 53: 49-77.