Sensitivity of tropical cyclone forecast as revealed by singular vectors

Journal of the Atmospheric Sciences

Volumn 63, Issue 10, 2006, Pages 2508-2528

  Peng, Melinda S ^a   Reynolds, Carolyn A ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC TURBULENCE; MATHEMATICAL MODELS; SENSITIVITY ANALYSIS; TRACKING (POSITION); WEATHER FORECASTING;

SINGULAR VECTOR SENSITIVITY; TROPICAL CYCLONE FORECAST; VORTICITY GRADIENT;

STORMS;

ATMOSPHERIC TURBULENCE; MATHEMATICAL MODELS; SENSITIVITY ANALYSIS; STORMS; TRACKING (POSITION); WEATHER FORECASTING;

AZIMUTH; FORECASTING METHOD; NORTHERN HEMISPHERE; PERTURBATION; POTENTIAL VORTICITY; STORM; TROPICAL CYCLONE; WEATHER FORECASTING;

NORTH AMERICA; UNITED STATES;

EID: 33749013813     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS3777.1     Document Type: Article

References (65)

1. Aberson, S. D., 2003: Targeted observations to improve operational tropical cyclone track forecast guidance. Mon. Wea. Rev., 131, 1613-1628.
2. Andrews, D. G., J. R. Holton, and C. B. Leovy, 1987: Middle Atmosphere Dynamics. Academic Press, 489 pp.
3. Anthes, R. A., and J. E. Hoke, 1975: Effect of horizontal divergence and latitude variation of Coriolis parameter on drift of a model hurricane. Mon. Wea. Rev., 103, 757-763.
4. Barkmeijer, J., R. Buizza, T. N. Palmer, K. Puri, and J.-F. Mahfouf, 2001: Tropical singular vectors computed with linearized diabatic physics. Quart. J. Roy. Meteor. Soc., 127, 685-708.
5. Brand, S., C. A. Buenafe, and H. D. Hamilton, 1981: Comparison of tropical cyclone motion and environmental steering. Mon. Wea. Rev., 109, 908-909.
6. Bretherton, F. P., 1966a: Critical-layer instability in baroclinic flows. Quart. J. Roy. Meteor. Soc., 92, 325-334.
7. Bretherton, F. P., 1966b: Baroclinic instability and short-wave cut-off in terms of potential vorticity. Quart J. Roy. Meteor. Soc., 92, 335-345.
8. Buizza, R., 1994: Localization of optimal perturbations using a projection operator. Quart. J. Roy. Meteor. Soc., 120, 1647-1681.
9. Buizza, R., and T. N. Palmer, 1995: The singular vector structure of the atmospheric global circulation. J. Atmos. Sci., 52, 1434-1456.
10. Buizza, R., and F. Montem, 1999: Targeting observations using singular vectors. J. Atmos. Sci., 56, 2965-2985.
11. Buizza, R., J. Tribbia, F. Monteni, and T. N. Palmer, 1993: Computation of optimal unstable structures for a numerical weather prediction model. Tellus, 45A, 388-407.
12. Chan, J. C. L., and W. M. Gray, 1982: Tropical cyclone movement and surrounding flow relationships. Mon. Wea. Rev., 110, 1354-1374.
13. Chan, J. C. L., and R. T. Williams, 1987: Analytical and numerical studies of the beta-effect in tropical cyclone motion. Part I: Zero mean flow. J. Atmos. Sci., 44, 1257-1265.
14. Chan, J. C. L., F. M. F. Ko, and Y. M. Lei, 2002: Relationship between potential vorticity tendency and tropical cyclone motion. J. Atmos. Sci., 59, 1317-1336.
15. Charney, J. G., and M. E. Stern, 1962: On the stability of internal baroclinic jet in a rotating atmosphere. J. Atmos. Sci., 19, 135-163.
16. Corbosiero, K. L., and J. Molinari, 2003: The relationship between storm motion, vertical wind shear, and convective asymmetries in tropical cyclones. J. Atmos. Sci., 60, 366-376.
17. Davis, C. A., and K. A. Emanuel, 1991: Potential vorticity diagnostics of cyclogenesis. Mon. Wea. Rev., 119, 1929-1953.
18. Elsberry, R. L., Ed., 1987: A Global View of Tropical Cyclones. Office of Naval Research, 185 pp.
19. Enagonio, J., and M. T. Montgomery, 2001: Tropical cyclogenesis via convectively forced vortex Rossby waves in a shallow water primitive equation model. J. Atmos. Sci., 58, 685-705.
20. Farrell, B. F., 1982: The initial growth of disturbances in a baroclinic flow. J. Atmos. Sci., 39, 1663-1686.
21. Farrell, B. F., 1988: Optimal excitation of neutral Rossby waves. J. Atmos. Sci., 45, 163-172.
22. Farrell, B. F., 1989: Optimal excitation of baroclinic waves. J. Atmos. Sci., 46, 1193-1206.
23. Farrell, B. F., 1990: Small error dynamics and the predictability of atmospheric flows. J. Atmos. Sci., 47, 1193-1206.
24. Fiorino, M., and R. L. Elsberry, 1989: Some aspects of vortex structure related to tropical cyclone motion. J. Atmos. Sci., 46, 975-990.
25. Fjørtorf, R., 1951: Stability properties of large-scale atmospheric disturbances. Compendium of Meteorology, T. F. Malone, Ed., Amer. Meteor. Soc., 454-463.
26. Gelaro, R., R. Buizza, T. N. Palmer, and E. Klinker, 1998: Sensitivity analysis of forecast errors and the construction of optimal perturbations using singular vectors. J. Atmos. Sci., 55, 1012 1037.
27. Farrell, B. F., C. A. Reynolds, R. H. Langland, and G. D. Rohaly, 2000: A predictability study using geostationary satellite wind observations during NORPEX. Mon. Wea. Rev., 128, 3789-3807.
28. George, J. E., and W. M. Gray, 1976: Tropical cyclone motion and the surrounding parameter relationship. J. Appl. Meteor., 15, 1252-1264.
29. Gray, W. M., 1975: Tropical cyclone genesis. Dept. of Atmospheric Science Paper 232, Colorado State University, Fort Collins, CO, 121 pp.
30. Harr, P. A., and R. L. Elsberry, 1995: Large-scale circulation variability over the tropical western North Pacific. Part I: Spatial patterns and tropical cyclone characteristics. Mon. Wea. Rev., 123, 1225-1244.
31. Heifetz, G. H., C. H. Bishop, B. J. Hoskin, and J. Methven, 2004: The counter-propagating Rossby-wave perspective on baroclinic instability. I: Mathematical basis. Quart. J. Roy. Meteor. Soc., 130, 211-231.
32. Hogan, T. F., and T. E. Rosmond, 1991: The description of the Navy Operational Global Atmospheric Prediction System's Spectral Forecast Model. Mon. Wea. Rev., 119, 1786-1815.
33. Holland, G. J., 1983: Tropical cyclone motion: Environmental interaction plus a beta effect. J. Atmos. Sci., 40, 328-342.
34. Langland, R. H., R. Gelaro, G. D. Rohaly, and M. A. Shapiro, 1999: Targeted observations in FASTEX: Adjoint-based targeting procedures and data impact experiments in IOPs-17 and 18. Quart. J. Roy. Meteor. Soc., 125, 3241-3270.
35. Li, X. F., and B. Wang, 1994: Barotropic dynamics of the beta-gyres and beta-drift. J. Atmos. Sci., 51, 746-756.
36. Lorenz, E. N., 1965: A study of the predictability of a 28-variable atmospheric model. Tellus, 17, 321-333.
37. Madala, R. V., and S. A. Piacsek, 1975: Numerical simulation of asymmetric hurricanes on a beta-plane with vertical shear. Tellus, 27, 453-468.
38. Majumdar, S. J., S. D. Aberson, C. H. Bishop, R. Buizza, M. S. Peng, and C. A. Reynolds, 2006: A comparison of adaptive observing guidance for Atlantic tropical cyclones. Mon. Wea. Rev., 134, 2354 2372.
39. McBride, J. L., and R. Zehr, 1981: Observational analysis of tropical cyclone formation. Part II: comparison of nondeveloping versus developing systems. J. Atmos. Sci., 38, 1132-1151.
40. Molinari, J., S. Skubis, D. Vollaro, F. Alsheimer, and H. E. Willoughby, 1998: Potential vorticity analysis of tropical cyclone intensification. J. Atmos. Sci., 55, 2632-2644.
41. Moller, J. D., and M. T. Montgomery, 1999: Vortex Rossby waves and hurricane intensification in a barotropic model. J. Atmos. Sci., 56, 1674-1687.
42. Molteni, F., and T. N. Palmer, 1993: Predictability and finite-time instability of the northern winter circulation. Quart. J. Roy. Meteor. Soc., 119, 269-298.
43. Molteni, F., R. Buizza, T. N. Palmer, and T. Petroliagis, 1996: The ECMWF ensemble prediction system: Meteorology and validation. Quart. J. Roy. Meteor. Soc., 122, 73-120.
44. Montani, A., and A. J. Thorpe, 2002: Mechanisms leading to singular-vector growth for FASTEX cyclones. Quart. J. Roy. Meteor. Soc., 128, 131-148.
45. 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.
46. Nolan, D. S., and B. F. Farrell, 1999: Generalized stability analyses of asymmetric disturbances in one- and two-celled vortices maintained by radial inflow. J. Atmos. Sci., 56, 1287-1307.
47. Palmer, T. N., R. Gelaro, J. Barkmeijer, and R. Buizza, 1998: SVs, metrics and adaptive observations. J. Atmos. Sci., 55, 633-653.
48. Peng, M. S., and C. A. Reynolds, 2005: Double trouble for typhoon forecasters. Geophys. Res. Lett., 32, L02810, doi:10.1029/2004GLO21680.
49. Peng, M. S., J. A. Ridout, and T. F. Hogan, 2004: Recent modifications of the Emanuel convective scheme in the Naval Operational Global Atmospheric Prediction System. Mon. Wea. Rev., 132, 1254-1268.
50. Penland, C., and P. D. Sardeshmukh, 1995: The optimal growth of tropical sea surface temperature. J. Climate, 8, 1999-2024.
51. Puri, K., J. Barkmeijer, and T. N. Palmer, 2001: Ensemble prediction of tropical cyclones using targeted diabatic singular vectors. Quart. J. Roy. Meteor. Soc., 127, 685-708.
52. Rayleigh, L., 1880: On the stability or instability, of certain fluid motions. Proc. London Math. Soc., 9, 57-70.
53. Reynolds, C. A., and T. E. Rosmond, 2003: Nonlinear growth of singular-vector-based perturbations. Quart. J. Roy. Meteor. Soc., 129, 3059-3078.
54. Reynolds, C. A., R. Gelaro, and T. Rosmond, 2001: Relationship between singular vectors and transient features in the background flow. Quart. J. Roy. Meteor. Soc., 127, 1731-1760.
55. Rosmond, T. E., 1997: A technical description of the NRL adjoint modeling system. NRL Tech. Rep. NRL/MR/7532/97/7230, 53 pp.
56. Shapiro, L. J., 1992: Hurricane vortex motion and evolution in a three-layer model. J. Atmos. Sci., 49, 140-154.
57. Smith, G. B., and M. T. Montgomery, 1995: Vortex axisymmetrization-dependence on azimuthal wave-number or asymmetric radial structure changes. Quart. J. Roy. Meteor. Soc., 121, 1615-1650.
58. Trefethen, L. N., A. E. Trefethen, S. C. Reddy, and T. A. Driscoll, 1993: Hydrodynamic stability without eigenvalues. Science, 261, 578-584.
59. Wang, B., and X. F. Li, 1997: Direction of beta drift in horizontally sheared flow. J. Atmos. Sci., 54, 1462-1471.
60. Wu, C. C., and K. A. Emanuel, 1993: Interaction of a baroclinic vortex with background shear - Application to hurricane movement. J. Atmos. Sci., 50, 62-76.
61. Wu, C. C., and K. A. Emanuel, 1995a: Potential vorticity diagnostics of hurricane movement. Part I: A case study of Hurricane Bob (1991). Mon. Wea. Rev., 123, 69-92.
62. Wu, C. C., and K. A. Emanuel, 1995b: Potential vorticity diagnostics of hurricane movement. Part II: Tropical Storm Ana (1991) and Hurricane Andrew (1992). Mon. Wea. Rev., 123, 93-109.
63. Wu, C. C., T.-S. Huang, W.-P. Huang, and K.-H. Chou, 2003: A new look at the binary interaction: Potential vorticity diagnosis of the unusual southward movement of Tropical Storm Bopha (2002) and its interaction with Supertyphoon Saomai (2000). Mon. Wea. Rev., 131,1289-1300.
64. Wu, C. C., and Coauthors, 2005: Dropwindsonde observations for typhoon surveillance near the Taiwan region (DOTSTAR) - An overview. Bull. Amer. Meteor. Soc., 86, 787-790.
65. Wu, L. G., and B. Wang, 2000: A potential vorticity tendency diagnostic approach for tropical cyclone motion. Mon. Wea. Rev., 128, 1899-1911.