Stratospheric sudden warmings as self-tuning resonances. Part II: Vortex displacement events

Journal of the Atmospheric Sciences

Volumn 68, Issue 11, 2011, Pages 2505-2523

  Esler, J G ^a   Matthewman, N Joss ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Nonlinear models; Potential vorticity; Quasigeostrophic models; Rossby waves; Stratophere troposphere coupling; Stratosphere

Indexed keywords

BACKGROUND FLOW; BAROCLINIC; COLUMNAR VORTICES; EARTH'S SURFACE; FILAMENT FORMATION; IDEALIZED MODELS; INITIAL POSITION; LINEAR ANALYSIS; NON-LINEAR MODEL; NON-LINEAR OSCILLATORS; NONLINEAR BEHAVIOR; POTENTIAL VORTICITY; QUASI-GEOSTROPHIC; QUASI-GEOSTROPHIC MODEL; ROSSBY WAVE; SELFTUNING; SOLID-BODY ROTATION; STRATOSPHERIC SUDDEN WARMINGS; STRONGLY NONLINEAR; TOPOGRAPHIC FORCING; VERTICAL STRUCTURES; VORTEX DISPLACEMENTS; WAVEBREAKING;

ASTROPHYSICS; ATMOSPHERICS; CLIMATE MODELS; NONLINEAR EQUATIONS; OCEAN CURRENTS; SUPERCONDUCTING MATERIALS; UPPER ATMOSPHERE;

VORTEX FLOW;

ANELASTICITY; NUMERICAL MODEL; POTENTIAL VORTICITY; RESONANCE; ROSSBY WAVE; STRATOSPHERE-TROPOSPHERE INTERACTION; VORTEX FLOW; WAVE BREAKING;

EID: 81555209852     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS-D-11-08.1     Document Type: Article

References (27)

1. Andrews, D. G., J. R. Holton, and C. B. Leovy, 1985: Middle Atmosphere Dynamics. Academic Press, 489 pp.
2. Charlton, A. J., and L. M. Polvani, 2007: A new look at stratospheric sudden warmings. Part I: Climatology and modeling benchmarks. J. Climate, 20, 449-469.
3. Dritschel, D. G., and R. Saravanan, 1994: Three-dimensional quasi-geostrophic contour dynamics, with an application to stratospheric vortex dynamics. Quart. J. Roy. Meteor. Soc., 120, 1267-1297.
4. Dritschel, D. G., and M. P. Ambaum, 1997: A contour-advective semi-Lagrangian algorithm for simulating fine-scale conservative dynamical fields. Quart. J. Roy. Meteor. Soc., 123, 1097-1130.
5. Esler, J. G., and R. K. Scott, 2005: Excitation of transient Rossby waves on the stratospheric polar vortex and the barotropic sudden warming. J. Atmos. Sci., 62, 3661-3682.
6. Esler, J. G., L. M. Polvani, and R. K. Scott, 2006: The Antarctic sudden stratospheric warming of 2002: A self-tuned resonance? Geophys. Res. Lett., 33, L12804, doi:10.1029/2006GL026034.
7. Held, I. M., R. T. Pierrehumbert, S. T. Garner, and K. L. Swanson, 1995: Surface quasi-geostrophic dynamics. J. Fluid Mech., 282, 1-20.
8. Macaskill, C., W. E. P. Padden, and D. G. Dritschel, 2003: The CASL algorithm for quasi-geostrophic flow in a cylinder. J. Comput. Phys., 188, 232-251.
9. Matsuno, T., 1971: A dynamical model of the stratospheric sudden warming. J. Atmos. Sci., 28, 1479-1494.
10. Matthewman, N. J., and J. G. Esler, 2011: Stratospheric sudden warmings as self-tuning resonances. Part I: Vortex splitting events. J. Atmos. Sci., 68, 2481-2504.
11. Matthewman, N. J., J. G. Esler, A. J. Charlton-Perez, and L. M. Polvani, 2009: A new look at stratospheric sudden warmings. Part III: Polar vortex evolution and vertical structure. J. Climate, 22, 1566-1585.
12. Nayfeh, A. H., and D. T. Mook, 1979: Nonlinear Oscillations. Wiley, 704 pp.
13. Pedlosky, J., 1987: Geophysical Fluid Dynamics. 2nd ed. Springer-Verlag, 710 pp.
14. Plumb, R. A., 1981: Instability of the distorted polar night vortex: A theory of stratospheric warmings. J. Atmos. Sci., 38, 2514-2531.
15. Polvani, L. M., and R. Saravanan, 2000: The three-dimensional structure of breaking Rossby waves in the polar wintertime stratosphere. J. Atmos. Sci., 57, 3663-3685.
16. Polvani, L. M., N. J. Zabusky, and G. R. Flierl, 1989: Two-layer geostrophic vortex dynamics. Part 1. Upper-layer V-states and merger. J. Fluid Mech., 205, 215-242.
17. Porter, D., and D. S. G. Stirling, 1990: Integral Equations: A Practical Treatment, from Spectral Theory to Applications. Cambridge University Press, 372 pp.
18. Scinocca, J. F., and P. H. Haynes, 1998: Dynamical forcing of stratospheric planetary waves by tropospheric baroclinic eddies. J. Atmos. Sci., 55, 2361-2392.
19. Scott, R. K., and D. G. Dritschel, 2005: Quasi-geostrophic vortices in compressible atmospheres. J. Fluid Mech., 530, 305-325.
20. Scott, R. K., D. G. Dritschel, L. M. Polvani, and D. W. Waugh, 2004: Enhancement of Rossby wave breaking by steep potential vorticity gradients in the winter stratosphere. J. Atmos. Sci., 61, 904-918.
21. Smith, A. K., 1989: An investigation of resonant waves in a numerical model of an observed sudden stratospheric warming. J. Atmos. Sci., 47, 3038-3054.
22. Tung, K. K., and R. S. Lindzen, 1979: A theory of stationary long waves. Part I: A simple theory of blocking. Mon. Wea. Rev., 107, 714-734.
23. Wang, X., and J. Fyfe, 2000: Onset of edge wave breaking in an idealized model of the polar stratospheric vortex. J. Atmos. Sci., 57, 956-966.
24. Watson, G. N., 1944: A Treatise on the Theory of Bessel Functions. 2nd ed. Cambridge University Press, 804 pp.
25. Waugh, D. W., and D. G. Dritschel, 1999: The dependence of Rossby wave breaking on the vertical structure of the polar vortex. J. Atmos. Sci., 56, 2359-2375.
26. Waugh, D. W., and W. J. Randel, 1999: Climatology of Arctic and Antarctic polar vortices using elliptic diagnostics. J. Atmos. Sci., 56, 1594-1613.
27. Wu, H. M., E. A. Overman, and N. J. Zabusky, 1984: Steady state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I. Numerical algorithms and results. J. Comput. Phys., 53, 42-71.