Conditions that inhibit the spontaneous radiation of spiral inertia-gravity waves from an intense mesoscale cyclone

Journal of the Atmospheric Sciences

Volumn 63, Issue 2, 2006, Pages 435-456

  Schecter, David A ^a   Montgomery, Michael T ^a  

^a Engineering Research Center and Hydraulics Laboratory   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GRAVITY WAVES; HURRICANES; OSCILLATIONS; STORMS; VORTEX FLOW;

INERTIA-GRAVITY WAVES; SPONTANEOUS RADIATION; VORTEX ROSSBY (VR) WAVES;

ATMOSPHERIC RADIATION;

ATMOSPHERIC RADIATION; GRAVITY WAVES; HURRICANES; OSCILLATIONS; STORMS; VORTEX FLOW;

GRAVITY WAVE; INERTIA;

EID: 33645098382     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS3641.1     Document Type: Article

References (48)

1. Abdullah, A. J., 1966: The "musical" sound emitted by a tornado. Mon. Wea. Rev., 94, 213-220.
2. Balmforth, N. J., 1999: Shear instability in shallow water. J. Fluid Mech., 387, 97-127.
3. Balmforth, N. J., S. G. Llewellyn Smith, and W. R. Young, 2001: Disturbing vortices. J. Fluid Mech., 426, 95-133.
4. Bedard, A. J., 2005: Low-frequency atmospheric acoustic energy associated with vortices produced by thunderstorms. Mon. Wea. Rev., 133, 241-263.
5. Briggs, R. J., J. D. Daugherty, and R. H. Levy, 1970: Role of Landau damping in crossed-field electron beams and inviscid shear flow. Phys. Fluids, 13, 421-432.
6. Broadbent, E. G., and D. W. Moore, 1979: Acoustic destabilization of vortices. Philos. Trans. Roy. Soc. London A, 290, 353-371.
7. Chan, W. M., K. Shariff, and T. H. Pulliam, 1993: Instabilities of two-dimensional inviscid compressible vortices. J. Fluid Mech., 253, 173-209.
8. Chimonas, G., and H. M. Hauser, 1997: The transfer of angular momentum from vortices to gravity swirl waves. J. Atmos. Sci., 54, 1701-1711.
9. Chow, K. C., and K. L. Chan, 2003: Angular momentum transports by moving spiral waves. J. Atmos. Sci., 60, 2004-2009.
10. Chow, K. C., K. L. Chan, and A. K. H. Lau, 2002: Generation of moving spiral bands in tropical cyclones. J. Atmos. Sci., 59, 2930-2950.
11. Corngold, N. R., 1995: Linear response of the two-dimensional pure electron plasma: Quasimodes for some model profiles. Phys. Plasmas, 2, 620-628.
12. Ford, R., 1994a: The instability of an axisymmetric vortex with monotonic potential vorticity in rotating shallow water. J. Fluid Mech., 280, 303-334.
13. Ford, R., 1994b: The response of a rotating ellipse of uniform potential vorticity to gravity wave radiation. Phys. Fluids, 6, 3694-3704.
14. Ford, R., M. E. McIntyre, and W. A. Norton, 2000: Balance and the slow quasi-manifold: Some explicit results. J. Atmos. Sci., 57, 1236-1254.
15. Guinn, T. A., and W. H. Schubert, 1993: Hurricane spiral bands. J. Atmos. Sci., 50, 3380-3403.
16. Howe, M. S., 2001: Vorticity and the theory of aerodynamic sound. J. Eng. Math., 41, 367-400.
17. Kambe, T., 1986: Acoustic emissions by vortex motions. J. Fluid Mech., 173, 643-666.
18. Killworth, P. D., and M. E. McIntyre, 1985: Do Rossby-wave critical layers absorb, reflect, or over-reflect? J. Fluid Mech., 161, 449-492.
19. Kop'ev, V. F., and E. A. Leont'ev, 1983: Acoustic instability of an axial vortex. Sov. Phys. Acoust., 29, 111-115.
20. Kop'ev, V. F., and E. A. Leont'ev, 1985: Energy aspect of the acoustic instability of certain steady-state vortices. Sov. Phys. Acoust., 31, 205-207
21. Kop'ev, V. F., and E. A. Leont'ev, 1988: Acoustic instability of planar vortex flows with circular streamlines. Sov. Phys. Acoust., 34, 276-278.
22. Kurihara, Y., 1976: On the development of spiral bands in tropical cyclones. J. Atmos. Sci., 33, 940-958.
23. Li, H., S. A. Colgate, B. Wendroff, and R. Liska, 2001: Rossby wave instability of thin accretion disks. III. Nonlinear simulations. Astrophys. J., 551, 874-896.
24. Lighthill, M. J., 1952: On sound generated aerodynamically, I. General theory. Proc. Roy. Soc. London, 211A, 564-587.
25. Lord, K., 1880: On the vibrations of a columnar vortex. Philos. Mag., 10, 155-168.
26. Maslowe, S. A., 1986: Critical layers in shear flow. Annu. Rev. Fluid Mech., 18, 405-432.
27. Métais, O., and J. R. Herring, 1989: Numerical simulations of freely evolving turbulence in stably stratified fluids. J. Fluid Mech., 202, 117-148.
28. Montgomery, M. T., and L. J. Shapiro, 1995: Generalized Charney-Stern and Fjortoft theorems for rapidly rotating vortices. J. Atmos. Sci., 52, 1829-1833.
29. Montgomery, M. T., and J. Enagonio, 1998: Tropical cyclogenesis via convectively forced vortex Rossby waves in a three-dimensional quasigeostrophic model. J. Atmos. Sci., 55, 3176-3207.
30. O'Neil, T. M., 1965: Collisionless damping of nonlinear plasma oscillations. Phys. Fluids, 8, 2255-2262.
31. O'Sullivan, D., and T. J. Dunkerton, 1995: Generation of inertia-gravity waves in a simulated life cycle of baroclinic instability. J. Atmos. Sci., 52, 3695-3705.
32. Papaloizou, J. C. B., and J. E. Pringle, 1987: The dynamic stability of differentially rotating discs-III. Mon. Not. Roy. Astron. Soc., 225, 267-283.
33. Papaloizou, J. C. B., and D. N. C. Lin, 1995: Theory of accretion disks I: Angular momentum transport processes. Ann. Rev. Astron. Astrophys., 33, 505-540.
34. Pillai, S., and R. W. Gould, 1994: Damping and trapping in 2D inviscid fluids. Phys. Rev. Lett., 73, 2849-2852.
35. Plougonven, R., and V. Zeitlin, 2002: Internal gravity wave emission from a pancake vortex: An example of wave-vortex interaction in strongly stratified flows. Phys. Fluids, 14, 1259-1268.
36. Polvani, L. M., J. C. McWilliams, M. A. Spall, and R. Ford, 1994: The coherent structures of shallow-water turbulence: Deformation-radius effects, cyclone/anticyclone asymmetry and gravity-wave generation. Chaos, 4, 177-186.
37. Reasor, P. D., M. T. Montgomery, and L. D. Grasso, 2004: A new look at the problem of tropical cyclones in shear flow: Vortex resiliency. J. Atmos. Sci., 61, 3-22.
38. Sadourny, R., 1975: The dynamics of finite-difference models of the shallow-water equations. J. Atmos. Sci., 32, 680-689.
39. Schecter, D. A., and M. T. Montgomery, 2004: Damping and pumping of a vortex Rossby wave in a monotonic cyclone: Critical layer stirring versus inertia-buoyancy wave emission. Phys. Fluids, 16, 1334-1348.
40. Schecter, D. A., D. H. E. Dubin, A. C. Cass, C. F. Driscoll, I. M. Lansky, and T. M. O'Neil, 2000: Inviscid damping of asymmetries on a two-dimensional vortex. Phys. Fluids, 12, 2397-2412.
41. Schecter, D. A., M. T. Montgomery, and P. D. Reasor, 2002: A theory for the vertical alignment of a quasigeostrophic vortex. J. Atmos. Sci., 59, 150-168.
42. Shapiro, L. J., and M. T. Montgomery, 1993: A three-dimensional balance theory for rapidly rotating vortices. J. Atmos. Sci., 50, 3322-3335.
43. Shukhman, I. G., 1991: Nonlinear evolution of spiral density waves generated by the instability of the shear layer in a rotating compressible fluid. J. Fluid Mech., 233, 587-612.
44. Sozou, C., 1987: Adiabatic perturbations in an unbounded Rankine vortex. Proc. Roy. Soc. London A, 411, 207-224.
45. Spencer, R. L., and S. N. Rasband, 1997: Damped diocotron quasi-modes of nonneutral plasmas and inviscid fluids, Phys. Plasmas, 4, 53-60.
46. Vanneste, J., and I. Yavneh, 2004: Exponentially small inertia-gravity waves and the breakdown of quasigeostrophic balance. J. Atmos. Sci., 61, 211-223.
47. Willoughby, H. E., F. D. Marks Jr., and R. J. Feinberg, 1984: Stationary and moving convective bands in hurricanes. J. Atmos. Sci., 41, 3189-3211.
48. Zeitlin, V., 1991: On the backreaction of acoustic radiation for distributed two-dimensional vortex structures. Phys. Fluids A, 3, 1677-1680.