The origin of the stationary frontal wave packet spontaneously generated in rotating stratified vortex dipoles

Journal of Fluid Mechanics

Volumn 593, Issue , 2007, Pages 359-383

  Viúdez, Álvaro ^a  

^a INSTITUT DE CIÈNCIES DEL MAR   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FLOW VELOCITY; VORTICITY;

AGEOSTROPHIC DIFFERENTIAL VORTICITY; AGEOSTROPHIC FLOW; AGEOSTROPHIC VERTICAL VORTICITY; BOUSSINESQ APPROXIMATIONS; ROTATING STRATIFIED VORTEX DIPOLE; STATIONARY FRONTAL WAVE PACKET;

VORTEX FLOW;

APPROXIMATION THEORY; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FLOW VELOCITY; VORTEX FLOW; VORTICITY;

AGEOSTROPHIC FLOW; BOUSSINESQ EQUATION; FLOW MODELING; NUMERICAL MODEL; VORTEX; VORTICITY;

EID: 36548998841     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007008816     Document Type: Article

References (34)

1. BOSART, L. F., BRACKEN, W. E. & SEIMON, A. 1998 A study of cyclone mesoscale structure with emphasis on a large-amplitude inertia gravity wave. Mon. Wea. Rev. 126, 1497-1527.
2. CHOW, K. C., CHAN, K. L. & LAU, A. K. H. 2002 Generation of moving spiral bands in tropical cyclones. J. Atmos. Sci. 59, 2930-2950.
3. DRITSCHEL, D. G. & VIÚDEZ, A. 2003 A balanced approach to modelling rotating stably-stratified geophysical flows. J. Fluid Mech. 488, 123-150.
4. FARGE, M. & SADOURNY, R. 1989 Wave-vortex dynamics in rotating shallow water. J. Fluid Mech. 206, 433-462.
5. FORD, R. 1994 Gravity wave radiation from vortex trains in rotating shallow water. J. Fluid Mech. 281, 81-118.
6. FORD, R., MCINTYRE, M. E. & NORTON, W. A. 2000 Balance and the slow quasimanifold: Some explicit results. J. Atmos. Sci. 57 1236-1257.
7. FRITTS, D. C. & LUO, Z. 1992 Gravity wave excitation by geostrophic adjustment of the jet stream. part i: Two-dimensional forcing. J. Atmos. Sci. 49, 681-697.
8. GRIFFITHS, M. & REEDER, M. J. 1996 Stratospheric inertia-gravity waves generated in a numerical model of frontogenesis: I: Model solutions. Q. J. R. Met. Soc. 122, 1153-1174.
9. LANE, T. P., DOYLE, J. D., PLOUGONVEN, R., SHAPIRO, M. A. & SHARMAN, R. D. 2004 Observations and numerical simulations of inertia-gravity waves and shearing instabilities in the vicinity of a jet stream. J. Atmos. Sci. 61, 2692-2706.
10. LANE, T. P., REEDER, M. J. & CLARK, T. L. 2001 Numerical modeling of gravity wave generation by deep tropical convection. J. Atmos. Sci. 58, 1249-1274.
11. LORENZ, E. N. & KRISHNAMURTHY, V. 1987 On the nonexistence of a slow manifold. J. Atmos. Sci. 44, 2940-2950.
12. LUO, Z. & FRITTS, D. C. 1993 Gravity wave excitation by geostrophic adjustment of the jet stream. part i: Three-dimensional forcing. J. Atmos. Sci. 50, 104-115.
13. MCWELLIAMS, J. C. & YAVNEH, I. 1998 Fluctuation growth and instability associated with a singularity of the balance equations. Phys. Fluids 10, 2587-2596.
14. MIROPOL'SKY, YU. Z. 2001 Dynamics of Internal Gravity Waves in the Ocean. Kluwer.
15. NAPPO, C. J. 2002 An Introduction to Atmospheric Gravity Waves Academic.
16. O'SULLIVAN, D. & DUNKERTON, T. J. 1995 Generation of inertia-gravity waves in a simulated life-cycle of baroclinic instability. J. Atmos. Sci. 52, 3695-3716.
17. PALLÀS-SANZ, E. & VIÚDEZ, A. 2007 Three-dimensional ageostrophic motion in mesoscale vortex dipoles. J. Phys. Oceanogr. 37, 84-105.
18. PFISTER, L., CHAN, K. R., BUI, T. P, BOWEN, S., LEGG, M., GARY, B., KELLY, K., PROFFITT, M. & STARR, W. 1993 Gravity-waves generated by a tropical cyclone during the step tropical program - a case-study. J. Geophys. Res. 95, 8611-8638.
19. PLOUGONVEN, R., TEITELBAUM, H. & ZEITLIN, V. 2003 Inertia gravity wave generation by the tropospheric midlatitude jet as given by the fronts and atlantic storm-track experiment. J. Geophys. Res. 108, doi:10.1029/2003JD003535.
20. REEDER, M. J. & GRIFFITHS, M. 1996 Stratospheric inertia-gravity waves generated in a numerical model of frontogenesis: Ii: Wave sources, generation mechanisms and momentum fluxes. Q. J. R. Met. Soc. 122, 1175-1195.
21. SAUJANI, S. & SHEPHERD, T. G. 2002 Comments on "balance and the slow quasimanifold: Some explicit results". J. Atmos. Sci. 59 2874-2877. Reply: J. Atmos. Sci. 59, 2878-2882.
22. SNYDER, C., MURAKI, D. J., PLOUGONVEN, R. & ZHANG, F. 2007 Inertia-gravity waves generated within a dipole vortex. J. Atmos. Sci. (in press).
23. SNYDER, C., SKAMAROCK, W. C. & ROTUNNO, R. 1993 Frontal dynamics near and following frontal collapse. J. Atmos. Sci. 50, 3194-3211.
24. VANNESTE, J. & YAVNEH, I. 2004 Exponentially small inertia gravity waves and the breakdown of quasigeostrophic balance. J. Atmos. Sci. 61, 211-223.
25. VIÚDEZ, A. 2006 Spiral patterns of inertia-gravity waves in geophysical flows. J. Fluid Mech. 562, 73-82.
26. VIÚDEZ, A. 2007 The stationary frontal wave packet spontaneously generated in mesoscale dipoles. J. Phys. Oceanogr. (in press).
27. VIÚDEZ, A. & DRITSCHEL, D. G. 2003 Vertical velocity in mesoscale geophysical flows. J. Fluid Mech. 483, 199-223.
28. VIÚDEZ, A. & DRITSCHEL, D. G. 2004 Optimal potential vorticity balance of geophysical flows. J. Fluid Mech. 521, 343-352.
29. VIÚDEZ, A., TINTORÉ, J. & HANEY, R. L. 1996 About the nature of the generalized omega equation. J. Atmos. Sci. 53, 787-795.
30. 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.
31. WILLIAMS, P. D., READ, P. L. & HAINE, T. W. N. 2003 Spontaneous generation and impact of inertia-gravity waves in a stratified two-layer shear flow. Geophys. Res. Lett. 30, doi:10.1029/2003GL018498.
32. YAVNEH, I. & MCWILLIAMS, J. C. 1994 Breackdown of the slow manifold in the shallow-water equations. Geophys. Astrophys. Fluid Dyn. 75, 131-161.
33. YUAN, L. & HAMILTON, K. 1994 Equilibrium dynamics in a forced-dissipative f-plane shallow-water system. J. Fluid Mech. 280, 369-394.
34. ZHANG, F. 2004 Generation of mesoscale gravity waves in upper-tropospheric jet-front systems. J. Atmos. Sci. 61, 440-457.