On the dynamics of concentric eyewall genesis: Space-time empirical normal modes diagnosis

Journal of the Atmospheric Sciences

Volumn 68, Issue 3, 2011, Pages 457-476

  Martinez, Y ^a   Brunet, G ^a   Yau, M K ^b   Wang, X ^b  

^a ENVIRONMENT CANADA   (Canada)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

Hurricanes; Mesoscale models; Nonhydrostatic models; Rossby waves; Statistical techniques

Indexed keywords

ANGULAR MOMENTUM FLUX; CRITICAL RADIUS; CYCLONIC EDDY; ELIASSEN-PALM FLUX; EYEWALL; HIGH RESOLUTION; LOWER TROPOSPHERE; MEAN DIVERGENCE; MESOSCALE MODEL; MESOSCALE MODELS; NATIONAL CENTER FOR ATMOSPHERIC RESEARCHES; NONHYDROSTATIC MODELS; NONSTATIONARY; NORMAL MODES; PENNSYLVANIA STATE UNIVERSITY; POTENTIAL VORTICITY; RADIAL GRADIENT; ROSSBY WAVE; STATISTICAL TECHNIQUES; WAVE ACTIVITY; WAVE NUMBERS; WAVE-MEAN-FLOW INTERACTION;

ANGULAR MOMENTUM; BOUNDARY LAYERS; CLIMATOLOGY; COMPUTER SIMULATION; HURRICANES; LINEAR TRANSFORMATIONS; OCEAN CURRENTS; RAIN; VORTEX FLOW;

STATISTICAL METHODS;

ATMOSPHERIC DYNAMICS; ATMOSPHERIC MODELING; ATMOSPHERIC TRANSPORT; CYCLOGENESIS; EMPIRICAL ANALYSIS; HURRICANE; MESOSCALE METEOROLOGY; POTENTIAL VORTICITY; ROSSBY WAVE; TROPOSPHERE; WAVE PROPAGATION;

EID: 79953907989     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/2010JAS3501.1     Document Type: Article

References (56)

1. Andrews, D. G., 1983: A finite-amplitude Eliassen-Palm theorem in isentropic coordinates. J. Atmos. Sci., 40, 1877-1883.
2. Andrews, D. G., and M. E. McIntyre, 1976: Planetary waves in horizontal and vertical shear. The generalized Eliassen-Palm relation and the mean zonal acceleration. J. Atmos. Sci., 33, 2031-2048.
3. Andrews, D. G., and M. E. McIntyre, 1978: An exact theory of nonlinear waves on a Lagrangian mean flow. J. Fluid Mech., 89, 609-646.
4. Arnol'd, V. I., 1966: On an a priori estimate in the theory of hydrodynamical stability. Amer. Math. Soc. Transl. Ser., 79, 267-269.
5. Black, M. L., and H. E. Willoughby, 1992: The concentric eyewall cycle of Hurricane Gilbert. Mon. Wea. Rev., 120, 947-957.
6. Bretherton, F. P., and C. J. R. Garrett, 1968: Wavetrains in inhomogeneous moving media. Proc. Roy. Soc. London, 302A, 529-554.
7. Brunet, G., 1994: Empirical normal-mode analysis of atmospheric data. J. Atmos. Sci., 51, 932-952.
8. Brunet, G., and R. Vautard, 1996: Empirical normal mode versus empirical orthogonal functions for statistical prediction. J. Atmos. Sci., 53, 3468-3489.
9. Charron, M., and G. Brunet, 1999: Gravity wave diagnosis using empirical normal modes. J. Atmos. Sci., 56, 2706-2727.
10. Chen, Y., and M. K. Yau, 2001: Spiral bands in a simulated hurricane. Part I: Vortex Rossby wave verification. J. Atmos. Sci., 58, 2128-2145.
11. Chen, Y., G. Brunet, and M. K. Yau, 2003: Spiral bands in a simulated hurricane. Part II: Wave activity diagnostics. J. Atmos. Sci., 60, 1239-1256.
12. Durran, D. R., 1995: Pseudomomentum diagnostics for twodimensional stratified compressible flow. J. Atmos. Sci., 52, 3997-4009.
13. Edmon, H. J. J., B. J. Hoskins, and M. E. McIntyre, 1980: Eliassen- Palm cross sections for the troposphere. J. Atmos. Sci., 37, 2600-2616.
14. Fortner, L. E., 1958: Typhoon Sarah, 1956. Bull. Amer. Meteor. Soc., 39, 633-639.
15. Hawkins, J. D., M. Helveston, T. F. Lee, F. J. Turk, K. Richardson, C. Sampson, J. Kent, and R. Wade, 2006: Tropical cyclone multiple eyewall configurations. Extended Abstracts, 27th Conf. on Hurricanes and Tropical Meteorology, Ft. Collins, CO, Amer. Meteor. Soc., 6B.1. [Available online at http://ams.confex.com/ams/27Hurricanes/techprogram/paper_108864.htm.]
16. Haynes, P. H., 1988: Forced, dissipative generalizations of finiteamplitude wave-activity conservation relations for zonal and nonzonal basic flows. J. Atmos. Sci., 45, 2352-2362.
17. Held, I. M., 1985: Pseudomomentum and the orthogonality of modes in shear flows. J. Atmos. Sci., 42, 2280-2288.
18. Houze, R. A., and Coauthors, 2006: The hurricane rainband and intensity change experiment: Observations and modelling of hurricanes Katrina, Ophelia, and Rita. Bull. Amer. Meteor. Soc., 87, 1503-1521.
19. Kossin, J. P., and W. H. Schubert, 2004: Mesovortices in Hurricane Isabel. Bull. Amer. Meteor. Soc., 85, 151-153.
20. Kuo, H.-C., W. H. Schubert, C.-L. Tsai, and Y.-F. Kuo, 2008: Vortex interactions and barotropic aspects of concentric eyewall formation. Mon. Wea. Rev., 136, 5183-5198.
21. Liu, Y., D.-L. Zhang, and M. K. Yau, 1997: A multiscale numerical study of Hurricane Andrew (1992). Part I: Explicit simulation and verification. Mon. Wea. Rev., 125, 3073-3093.
22. Liu, Y., D.-L. Zhang, and M. K. Yau, 1999: A multiscale numerical study of Hurricane Andrew (1992). Part II: Kinematics and inner core structures. Mon. Wea. Rev., 127, 2597-2616.
23. Martinez, Y. H., 2008: Diagnostic study of hurricane asymmetries using empirical normal modes. Ph.D. thesis, McGill University, 188 pp.
24. Martinez, Y. H., G. Brunet, and M. K. Yau, 2010a: On the dynamics of twodimensional hurricane-like vortex symmetrization. J. Atmos. Sci., 67, 3559-3580.
25. Martinez, Y. H., G. Brunet, and M. K. Yau, 2010b: On the dynamics of two-dimensional hurricane-like concentric rings vortex formation. J. Atmos. Sci., 67, 3253-3268.
26. Molinari, J. S., S. Skubis, and D. Vollaro, 1995: External influences on hurricane intensity. Part III: Potential vorticity evolution. J. Atmos. Sci., 52, 3593-3606.
27. Molinari, J. S., S. Skubis, and D. Vollaro, F. Alsheimer, and H. E. Willoughby, 1998: Potential vorticity analysis of tropical cyclone intensification. J. Atmos. Sci., 55, 2632-2644.
28. Montgomery, M. T., and R. J. Kallenbach, 1997: A theory for vortex Rossby-waves and its application to spiral bands and intensity changes in hurricanes. Quart. J. Roy. Meteor. Soc., 123, 435-465.
29. Nolan, D. S., and B. F. Farrell, 1999: Generalized stability analysis of asymmetric disturbances in one- and two-celled vortices maintained by radial inflow. J. Atmos. Sci., 56, 1282-1307.
30. Nong, S., and K. Emanuel, 2003: A numerical study of the genesis of concentric eyewalls in hurricanes. Quart. J. Roy. Meteor. Soc., 129, 3323-3338.
31. Plaut, G., and R. Vautard, 1994: Spells of low-frequency oscillations and weather regimes in the Northern Hemisphere. J. Atmos. Sci., 51, 210-236.
32. Samsury, C. E., and E. J. Zipser, 1995: Secondary wind maxima in hurricanes: Airflow and relationship to rainbands. Mon. Wea. Rev., 123, 3502-3517.
33. Schubert, W. H., 1985: Wave-mean flow interactions and hurricane development. Preprints, 16th Conf. on Hurricanes and Tropical Meteorology, Houston, TX, Amer. Meteor. Soc., 140-141.
34. Scinocca, J. F., and T. G. Shepherd, 1992: Nonlinear wave-activity conservation laws and Hamiltonian structure for the twodimensional anelastic equations. J. Atmos. Sci., 49, 5-27.
35. Shepherd, T. G., 1990: Symmetries, conservation laws, and Hamiltonian structure in geophysical fluid dynamics. Advances in Geophysics, Vol. 32, Academic Press, 287-338.
36. Sirovich, L., and R. Everson, 1992: Management and analysis of large scientific datasets. Int. J. Supercomput. Appl., 6, 50-68.
37. Tao, W.-K., and J. Simpson, 1993: The Goddard Cumulus Ensemble Model. Part I: Model description. Terr. Atmos. Oceanic Sci., 4, 19-54.
38. Terwey, W. D., and M. T. Montgomery, 2002: Wavenumber-2 and wavenumber-m vortex Rossby wave instabilities in a generalized three-region model. J. Atmos. Sci., 59, 2421-2427.
39. Terwey, W. D., and M. T. Montgomery, 2008: Secondary eyewall formation in two idealized, full-physics modeled hurricanes. J. Geophys. Res., 113, D12112, doi:10.1029/2007JD008897.
40. Thorncroft, C. D., B. J. Hoskins, and M. E. McIntyre, 1993: Two paradigms of baroclinic-wave life-cycle behaviour. Quart. J. Roy. Meteor. Soc., 119, 17-55.
41. Wang, Y., 2002a: Vortex Rossby waves in a numerically simulated tropical cyclone. Part I: Overall structure, potential vorticity, and kinetic energy budgets. J. Atmos. Sci., 59, 1213-1238.
42. Wang, Y., 2002b: Vortex Rossby waves in a numerically simulated tropical cyclone. Part II: The role in tropical cyclone structure and intensity changes. J. Atmos. Sci., 59, 1239-1262.
43. Wang, Y., 2008: Rapid filamentation zone in a numerically simulated tropical cyclone. J. Atmos. Sci., 65, 1158-1181.
44. Wang, Y., 2009: How do outer spiral rainbands affect tropical cyclone structure and intensity? J. Atmos. Sci., 66, 1250-1273.
45. Weare, B. C., and J. N. Nasstrom, 1982: Examples of extended empirical orthogonal function analyses. Mon. Wea. Rev., 110, 481-485.
46. Willoughby, H. E., 1978a: A possible mechanism for the formation of hurricane rainbands. J. Atmos. Sci., 35, 838-848.
47. Willoughby, H. E., 1978b: The vertical structure of hurricane rainbands and their interaction with the mean vortex. J. Atmos. Sci., 35, 849-858.
48. Willoughby, H. E., 1988: The dynamics of the tropical hurricane core. Aust. Meteor. Mag., 36, 183-191.
49. Willoughby, H. E., 1990a: Temporal changes in the primary circulation in tropical cyclones. J. Atmos. Sci., 47, 242-264.
50. Willoughby, H. E., 1990b: Gradient balance in tropical cyclones. J. Atmos. Sci., 47, 265-274.
51. Willoughby, H. E., 1990c: Linear normal modes of a moving, shallow-water barotropic vortex. J. Atmos. Sci., 47, 2141-2148.
52. Willoughby, H. E., and P. G. Black, 1996: Hurricane Andrew in Florida: Dynamics of a disaster. Bull. Amer. Meteor. Soc., 77, 543-549.
53. Willoughby, H. E., J. A. Clos, and M. Shoreibah, 1982: Concentric eye walls, secondary wind maxima, and the evolution of the hurricane vortex. J. Atmos. Sci., 39, 395-411.
54. Willoughby, H. E., H. L. Jin, S. J. Lord, and J. M. Piotrowicks, 1984: Hurricane structure and evolution as simulated by an axisymmetric, nonhydrostatic numerical model. J. Atmos. Sci., 41, 1169-1186.
55. Young, W. R., and P. B. Rhines, 1980: Rossby wave action, enstrophy and energy in forced mean flows. Geophys. Astrophys. Fluid Dyn., 15, 39-52.
56. Zadra, A., G. Brunet, and J. Derome, 2002: An empirical normal mode diagnostic algorithm applied toNCEP reanalyses. J.Atmos. Sci., 59, 2811-2829.