Ageostrophic instabilities of fronts in a channel in a stratified rotating fluid

Journal of Fluid Mechanics

Volumn 627, Issue , 2009, Pages 485-507

  Gula, J ^a   Plougonven, R ^a   Zeitlin, V ^a  

^a LABORATOIRE DE MÉTÉOROLOGIE DYNAMIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

KINETIC ENERGY; KINETICS; POTENTIAL ENERGY;

BAROCLINIC INSTABILITY; CONTINUOUSLY STRATIFIED; LINEAR STABILITY; NONLINEAR SATURATION; ROSSBY NUMBERS; ROTATING FLUIDS; SHALLOW WATER MODEL; SMALL-SCALE INSTABILITY;

STABILITY;

AGEOSTROPHIC FLOW; FLOW STABILITY; KINETIC ENERGY; POTENTIAL ENERGY; ROSSBY NUMBER; ROTATING FLUID; STRATIFIED FLOW;

EID: 67650931081     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009006508     Document Type: Article

References (40)

1. AFANASYEV, Y. 2003 Spontaneous emission of gravity waves by interacting vortex dipoles in a stratified fluid: Laboratory experiments. Geophys. Astrophys. Fluid Dyn. 97 (2), 79-95.
2. DRAZIN, P. G. & REID, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
3. EADY, E. T. 1949 Long waves and cyclone waves. Tellus 1 33-52.
4. FORD, R., MCINTYRE, M. E. & NORTON, W. A. 2000 Balance and the slow quasimanifold: Some explicit results. J. Atmos. Sci. 57 1236-1254.
5. FRITTS, D. C. & ALEXANDER, M. J. 2003 Gravity wave dynamics and effects in the middle atmosphere. Rev. Geophys. 41 (1), 1003.
6. FRITTS, D. C. & NASTROM, G. D. 1992 Sources of mesoscale variability of gravity waves. Part 2. Frontal, convective, and jet stream excitation. J. Atmos. Sci. 49 (2), 111-127.
7. GULA, J., ZEITLIN, V. & PLOUGONVEN, R. 2009 Instabilities of two-layer shallow-water flows with vertical shear in the rotating annulus. Submitted.
8. HAYASHI, Y.-Y. & YOUNG, W. R. 1987 Stable and unstable shear modes of rotating parallel flows in shallow water. J. Fluid Mech. 184 477-504.
9. HOLTON, J. R. 1992 An Introduction to Dynamic Meteorology, 3rd edn. Academic.
10. HOSKINS, B. J., MCINTYRE, M. E. & ROBERTSON, A. W. 1985 On the use and significance of isentropic potential vorticity maps. Q. J. R. Meteorol. Soc. 111 (470), 877-946.
11. IGA, K. 1993 Reconsideration of Orlanski's instability theory of frontal waves. J. Fluid Mech. 255, 213-236.
12. JONES, W. L. 1967 Propagation of internal gravity waves in fluids with shear flow and rotation. J. Fluid Mech. 30, 439-448.
13. Kim, Y.-J., ECKERMANN, S. D. & CHUN, H.-Y. 2003 An overview of the past, present and future of gravity-wave drag parametrization for numerical climate and weather prediction models. Atmos.-Ocean 41, 65-98.
14. LEITH, C. E. 1980 Nonlinear normal mode initialization and quasi-geostrophic theory. J. Atmos. Sci. 37, 958-968.
15. LORENZ, E. N. 1980 Attractor sets and quasi-geostrophic equilibrium. J. Atmos. Sci. 37, 1685-1699.
16. MOLEMAKER, M. J., MCWILLIAMS, J. C. & YAVNEH, I. 2005 Baroclinic instability and loss of balance. J. Phys. Oceanogr. 35, 1505-1517.
17. NAKAMURA, N. 1988 Scale slection of baroclinic instability: effects of stratification and nongeostrophy. J. Atmos. Sci. 45 (21), 3253-3267.
18. PARKER, D. J. 1998 Secondary frontal waves in the North Atlantic region: A dynamical perspective of current ideas. Q. J. R. Meteorol. Soc. 124, 829-856.
19. PEDLOSKY, JOSEPH 1987 Geophysical Fluid Dynamics, 2nd edn. Springer.
20. PHILLIPS, N. A. 1954 Energy transformations and meridional circulations associated with simple baroclinic waves in a two-level, quasi-geostrophic model. Tellus 6 (6), 273-286.
21. PLOUGONVEN, R., MURAKI, D. J. & SNYDER, C. 2005 A baroclinic instability that couples balanced motions and gravity waves. J. Atmos. Sci. 62, 1545-1559.
22. PLOUGONVEN, R. & SNYDER, C. 2005 Gravity waves excited by jets: propagation versus generation. Geoph. Res. Lett. 32 (L18802). doi:10.1029/2005GL023730.
23. PLOUGONVEN, R. & SNYDER, C. 2007 Inertia-gravity waves spontaneously generated by jets and fronts. Part I. Different baroclinic life cycles. J. Atmos. Sci. 64, 2502-2520.
24. PLOUGONVEN, R., TEITELBAUM, H. & ZEITLIN, V. 2003 Inertia-gravity wave generation by the tropospheric mid-latitude jet as given by the fastex radiosoundings. J. Geophys. Res. 108 (D21), 4686.
25. PLOUGONVEN, R. & ZEITLIN, V. 2002 Internal gravity wave emission from a pancake vortex: An example of wave-vortex interaction in strongly stratified flows. Phys. of Fluids 14 (3), 1259-1268.
26. POULIN, F. J. & FLIERL, G. R. 2003 The nonlinear evolution of barotropically unstable jets. J. Phys. Oceanogr. 33, 2173-2192.
27. RIPA, P. 1983 General stability conditions for zonal flows in a one-layer model on the β-plane or the sphere. J. Fluid Mech. 126, 463-489.
28. SAKAI, S. 1989 Rossby-Kelvin instability: A new type of ageostrophic instability caused by a resonance between rossby waves and gravity waves. J. Fluid Mech. 202, 149-176.
29. SKAMAROCK, W. C., KLEMP, J. B., DUDHIA, J., GILL, D. O., BARKER, D. M., WANG, W. & POWERS, J. G. 2005 A description of the Advanced Research WRF Version 2. Tech Note. NCAR.
30. STONE, P. H. 1966 On non-geostrophic baroclinic instability. J. Atmos. Sci. 23, 390-400.
31. STONE, P. H. 1970 On non-geostrophic baroclinic instability. Part 2. J. Atmos. Sci. 27, 721-726.
32. SUTYRIN, G. G. 2007 Ageostrophic instabilities in a horizontally uniform baroclinic flow along a slope. J. Fluid Mech. 598, 463-473.
33. TOKIOKA, T. 1970 Non-geostrophic and non-hydrostatic stability of a baroclinic fluid. J. Meteorol. Soc. Jpn 48, 503-520.
34. TREFETHEN, L. N. 2000 Spectral Methods in MATLAB. Society for Industrial and Applied Mathematics.
35. VANNESTE, J. 1993 The Kelvin-Helmoltz instability in a non-geostrophic baroclinic unstable flow. Math. Comput. Modelling 17, 149-154.
36. VANNESTE, J. & YAVNEH, I. 2004 Exponentially small inertia-gravity waves and the breakdown of quasi-geostrophic balance. J. Atmos. Sci. 61, 211-223.
37. VANNESTE, J. & YAVNEH, I. 2007 Unbalanced instabilities of rapidly rotating stratified shear flows. J. Fluid Mech. 584, 373-396.
38. WICKER, L. J. & SKAMAROCK, W. C. 2002 Time splitting methods for elastic models using forward time schemes. Mon. Weath. Rev. 130 2088-2097.
39. WILLIAMS, P. D., HAINE, T. W. N. & READ, P. L. 2005 On the generation mechanisms of short-scale unbalanced modes in rotating two-layer flows with vertical shear. J. Fluid Mech. 528, 1-22.
40. WUNSCH, C. & FERRARI, R. 2004 Vertical mixing energy and the general circulation of the oceans. Annu. Rev. Fluid Mech. 36 281-314.