The existence of subsynoptic-scale baroclinic instability and the nonlinear evolution of shallow disturbances

Journal of the Atmospheric Sciences

Volumn 58, Issue 7, 2001, Pages 657-683

  Yamazaki, Yasuhiro H ^a,b   Peltier, W R ^a  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HARMONIC ANALYSIS; PROBLEM SOLVING; TROPOSPHERE;

BAROCLINIC INSTABILITY;

EARTH ATMOSPHERE;

BAROCLINIC INSTABILITY; JET STREAM; MIDLATITUDE ENVIRONMENT; TROPOSPHERE; ZONAL FLOW;

EID: 0035305361     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(2001)058<0657:TEOSSB>2.0.CO;2     Document Type: Article

References (52)

1. Bader, M. J., G. S. Forbes, J. R. Grant, R. B. E. Lilley, and A. J. Waters, 1995: Images in Weather Forecasting. Cambridge University Press, 499 pp.
2. Bjerknes, J., and H. Solberg, 1922: Life cycle of cyclones and the polar front theory of atmospheric circulation. Geofys. Publ., 3, 1-18.
3. Brown, J. A., 1969: A numerical investigation of hydrodynamic instability and energy conversions in the quasi-geostrophic atmosphere: Part I. J. Atmos. Soc., 26, 352-365.
4. Bush, A., and W. R. Peltier, 1994: Tropopause folds and synoptic-scale baroclinic wave life cycles. J. Atmos. Sci., 51, 1581-1604.
5. Charney, J. G., 1947: The dynamics of long waves in a baroclinic westerly current. J. Meteor., 4, 135-162.
6. _, 1971: Geostrophic turbulence. J. Atmos. Sci., 28, 1087-1095.
7. _, and M. E. Stern, 1962: On the stability of internal baroclinic jets in a rotating atmosphere. J. Atmos. Sci., 19, 159-172.
8. Clark, T. L., 1977: A small-scale dynamic model using a terrain-following coordinate transformation. J. Comput. Phys., 24, 186-215.
9. Davies, H. C., and C. H. Bishop, 1994: Eady edge waves and rapid development. J. Atmos. Sci., 51, 1930-1946.
10. Eady, E. T., 1949: Long waves and cyclone waves. Tellus, 1, 33-52.
11. Ehrendorfer, M., and R. M. Errico, 1995: Mesoscale predictability and the spectrum of optimal perturbations. J. Atmos. Sci., 52, 3475-3500.
12. Farrell, B. F., 1989: Optimal excitation of baroclinic waves. J. Atmos. Sci., 46, 1193-1206.
13. Fjørtoft, R., 1950: Application of integral theorems in deriving criteria of stability for laminar flows and for the baroclinic circular vortex. Geofys. Publ., 17, 1-52.
14. Griffiths, R. W., P. D. Killworth, and M. E. Stern, 1982: Ageostrophic instability of ocean currents. J. Fluid Mech., 117, 343-377.
15. Hoskins, B. J., 1971: Atmospheric frontogenesis: Some solutions. Quart. J. Roy. Meteor. Soc., 97, 139-153.
16. _, and F. P. Bretherton, 1972: Atmospheric frontogenesis models: Mathematical formulation and solution. J. Atmos. Sci., 29, 11-37.
17. _, M. E. McIntyre, and R. W. Robertson, 1985: On the use and significance of isentropic potential vorticity maps. Quart. J. Roy. Meteor. Soc., 111, 877-946.
18. Iga, K., 1993: Reconsideration of Orlanski's instability theory of frontal waves. J. Fluid Mech., 255, 213-236.
19. Joly, A., and A. J. Thorpe, 1990: Frontal instability generated by tropospheric potential vorticity anomalies. Quart. J. Roy. Meteor. Soc., 116, 525-560.
20. Kalnay, E., and Coauthors, 1996: The NCEP/NCAR 40-Year Reanalysis Project. Bull. Amer. Meteor. Soc., 77, 437-471.
21. Klaassen, G. P., and W. R. Peltier, 1989: The role of transverse secondary instabilities in the evolution of free shear layers. J. Fluid Mech., 202, 367-402.
22. Kotschin, N., 1932: Über die Stabilität von Margulesschen Diskontinuitätsflächen. Beitr. Phys. Atmos., 18, 129-164.
23. McIntyre, M. E., 1970: On the non-separable baroclinic parallel flow instability problem. J. Fluid Mech., 40, 273-306.
24. Moore, G. W. K., and W. R. Peltier, 1987: Cyclogenesis in frontal zones. J. Atmos. Sci., 44, 384-409.
25. _, and _, 1989a: Nonseparable baroclinic instability. Part I: Quasi-geostrophic dynamics. J. Atmos. Sci., 46, 57-78.
26. _, and _, 1989b: Frontal cyclogenesis and the geostrophic momentum approximation. Geophys. Astrophys. Fluid Dyn., 45, 183-197.
27. _, and _, 1990: Nonseparable baroclinic instability. Part II: Primitive equation dynamics. J. Atmos. Sci., 47, 1223-1242.
28. Nakamura, N., 1988: Scale selection of baroclinic instability - Effects of stratification and nongeostrophy. J. Atmos. Sci., 45, 3253-3267.
29. Ninomiya, K., and T. Akiyama, 1992: Multi-scale feature of Baiu, the summer monsoon over Japan and the East Asia. J. Meteor. Soc. Japan, 70, 467-495.
30. Ogura, Y., and N. A. Phillips, 1962: Scale analysis of deep and shallow convection in the atmosphere. J. Atmos. Sci., 19, 173-179.
31. Orlanski, I., 1968: Instability of frontal waves. J. Atmos. Sci., 25, 178-200.
32. _, 1975: A rational subdivision of scales for atmospheric processes. Bull. Amer. Meteor. Soc., 56, 527-530.
33. Peltier, W. R., and S. M. Polavarapu, 1991: The origins and nonlinear evolution of subsynoptic scale cyclones. Proc. First Int. Symp. on Severe Winter Storms, New Orleans, LA, Amer. Meteor. Soc., 186-193.
34. Pierrehumbert, R. T., and K. L. Swanson, 1995: Baroclinic instability. Annu. Rev. Fluid Mech., 27, 419-465.
35. Polavarapu, S. M., 1989: Midlatitude cyclones and cyclogenesis. Ph.D. thesis, University of Toronto, 151 pp.
36. _, and W. R. Peltier, 1990: The structure and nonlinear evolution of synoptic scale cyclones: Life cycle simulations with a cloud-scale model. J. Atmos. Sci., 47, 2645-2672.
37. Reed, R. J., 1979: Cyclogenesis in polar air streams. Mon. Wea. Rev., 107, 38-52.
38. Rhines, P. B., 1975: Waves and turbulence on a β-plane. J. Fluid Mech., 69, 417-443.
39. Simmons, A. J., and B. J. Hoskins, 1976: Baroclinic instability on the sphere: Normal modes of the primitive and quasi-geostrophic equations. J. Atmos. Sci., 33, 1454-1477.
40. _, and _, 1978: Life cycles of some nonlinear baroclinic waves. J. Atmos. Sci., 35, 414-432.
41. _, and _, 1980: Barotropic influences on the growth and decay of nonlinear baroclinic waves. J. Atmos. Sci., 37, 1679-1684.
42. Sinton, D. M., and W. Heise, 1993: Frontal instability in a sheared basic state. J. Atmos. Sci., 50, 1691-1707.
43. Snyder, C., 1995: Stability of steady fronts with uniform potential vorticity. J. Atmos. Sci., 52, 724-736.
44. Stone, P. H., 1966: On non-geostrophic baroclinic stability. J. Atmos. Sci., 23, 390-400.
45. _, 1970: On non-geostrophic baroclinic stability: Part II. J. Atmos. Sci., 27, 721-726.
46. _, 1972: On non-geostrophic baroclinic stability: Part III. The momentum and heat transports. J. Atmos. Sci., 29, 419-426.
47. Takayabu, I., 1991: "Coupling development": An efficient mechanism for the development of extratropical cyclones. J. Meteor. Soc. Japan, 69, 609-628.
48. Tokioka, T., 1970: Non-geostrophic and non-hydrostatic stability of a baroclinic fluid. J. Meteor. Soc. Japan, 48, 503-520.
49. _, 1971: Supplement to non-geostrophic and non-hydrostatic stability of a baroclinic fluid and medium-scale disturbances on the fronts. J. Meteor. Soc. Japan, 49, 129-132.
50. Tremblay, A., 1992: Structure and development of mesoscale baroclinic waves in a nonhydrostatic numerical model. Mon. Wea. Rev., 120, 463-481.
51. Whitaker, J. S., and A. Barcilon, 1992: Genesis of mobile troughs in the upper westerlies. J. Atmos. Sci., 49, 2097-2107.
52. Yamazaki, Y. H., and W. R. Peltier, 2001: Baroclinic instability in an Euler equations-based column model: The coexistence of a deep synoptic-scale mode and shallow subsynoptic-scale modes. J. Atmos. Sci., 58, 780-792