Contraction rate and its relationship to frontogenesis, the Lyapunov exponent fluid trapping, and airstream boundaries

Monthly Weather Review

Volumn 133, Issue 5, 2005, Pages 1353-1369

  Cohen, Robert A ^a   Schultz, David M ^b,c  

^a EAST STROUDSBURG UNIVERSITY   (United States)

^b UNIVERSITY OF OKLAHOMA   (United States)

^c NATIONAL SEVERE STORMS LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; KINEMATICS; LYAPUNOV METHODS; TRAJECTORIES; VECTORS;

AIRSTREAM BOUNDARIES; DILATATION; FRONTOGENESIS; SEPARATION VECTORS;

METEOROLOGY;

FRONTOGENESIS;

EID: 20444507216     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/MWR2922.1     Document Type: Article

References (48)

1. Barnes, S. L., and B. R. Colman, 1993: Quasigeostrophic diagnosis of cyclogenesis associated with a cutoff extratropical cyclone - The Christmas 1987 storm. Mon. Wea. Rev., 121, 1613-1634.
2. Barnes, S. L., and B. R. Colman, 1994: Diagnosing an operational numerical model using Q-vector and potential vorticity concepts. Wea. Forecasting, 9, 85-102.
3. Batchelor, G. K., 1952: The effect of homogeneous turbulence on material lines and surfaces. Proc. Roy. Soc., A213, 349-366.
4. Benzi, R., S. Patarnello, and P. Santangelo, 1988: Self-similar coherent structures in two-dimensional decaying turbulence. J. Phys. A: Math. Gen., 21, 1221-1237.
5. Bergeron, T., 1928: Über die dreidimensional verknüpfende Wetteranalyse I. Geofys. Publ., 5 (6), 1-111.
6. Bishop, C. H., 1996: Domain-independent attribution. Part II: Its value in the verification of dynamical theories of frontal waves and frontogenesis. J. Atmos. Sci., 53, 253-262.
7. Bjerknes, J., and H. Solberg, 1922: Life cycle of cyclones and the polar front theory of atmospheric circulation. Geofys. Publ., 3 (1), 3-18.
8. Browning, K. A., 1986: Conceptual models of precipitation systems. Wea. Forecasting, 1, 23-41.
9. Browning, K. A., 1990: Organization of clouds and precipitation in extra-tropical cyclones. Extratropical Cyclones: The Erik Palmén Memorial Volume, C. W. Newton and E. O. Holopainen, Eds., Amer. Meteor. Soc., 129-153.
10. Carlson, T. N., 1980: Airflow through midlatitude cyclones and the comma cloud pattern. Mon. Wea. Rev., 108, 1498-1509.
11. Cohen, R. A., and C. W. Kreitzberg, 1997: Airstream boundaries in numerical weather simulations. Mon. Wea. Rev., 125, 168-183.
12. Cunningham, P., and D. Keyser, 2000: Analytical and numerical modelling of jet streaks: Barotropic dynamics. Quart. J. Roy. Meteor. Soc., 126, 3187-3217.
13. Cunningham, P., and D. Keyser, 2004: Dynamics of jet streaks in a stratified quasigeostrophic atmosphere: Steady-state representations. Quart. J. Roy. Meteor. Soc., 130, 1579-1609.
14. Davies-Jones, R., 1985: Comments on "A kinematic analysis of frontogenesis associated with a nondivergent vortex." J. Atmos. Sci., 42, 2073-2075.
15. Doswell, C. A., III, 1984: A kinematic analysis of frontogenesis associated with a nondivergent vortex. J. Atmos. Sci., 41, 1242-1248.
16. Doswell, C. A., III, 1985: Reply. J. Atmos. Sci., 42, 2076-2079.
17. Fairlie, T. D., R. B. Pierce, J. A. Al-Saadi, W. L. Grose, J. M. Russell III, M. H. Proffitt, and C. R. Webster, 1999: The contribution of mixing in Lagrangian photochemical predictions of polar ozone loss over the Arctic in summer 1997. J. Geophys. Res., 104, 26 597-26 609.
18. Hoskins, B. J., 1982: The mathematical theory of frontogenesis. Annu. Rev. Fluid Mech., 14, 131-151.
19. Hoskins, B. J., and N. V. West, 1979: Baroclinic waves and frontogenesis. Part II: Uniform potential vorticity jet flows-Cold and warm fronts. J. Atmos. Sci., 36, 1663-1680.
20. Hoskins, B. J., I. Draghici, and H. C. Davies, 1978: A new look at the ω-equation. Quart. J. Roy. Meteor. Soc., 104, 31-38.
21. Keyser, D., 1999: On the representation and diagnosis of frontal circulations in two and three dimensions. The Life Cycles of Extratropical Cyclones, M. A. Shapiro and S. Grønås, Eds., Amer. Meteor. Soc., 239-264.
22. Keyser, D., M. J. Reeder, and R. J. Reed, 1988: A generalization of Petterssen's frontogenesis function and its relation to the forcing of vertical motion. Mon. Wea. Rev., 116, 762-780.
23. Kundu, P. K., 1990: Fluid Mechanics. Academic Press, 638 pp.
24. MacVean, M. K., and J. D. Woods, 1980: Redistribution of scalars during upper ocean frontogenesis: A numerical model. Quart. J. Roy. Meteor. Soc., 106, 293-311.
25. McWilliams, J. C., 1984: The emergence of isolated coherent vortices in turbulent flow. J. Fluid Mech., 146, 21-43.
26. Miller, J. E., 1948: On the concept of frontogenesis. J. Meteor., 5, 169-171.
27. Muller, B. M., and H. E. Fuelberg, 1990: A simulation and diagnostic study of water vapor image dry bands. Mon. Wea. Rev., 118, 705-722.
28. Parker, D. J., 1999: Passage of a tracer through frontal zones: A model for the formation of forward-sloping cold fronts. Quart. J. Roy. Meteor. Soc., 125, 1785-1800.
29. Petterssen, S., 1936: Contribution to the theory of frontogenesis. Geofys. Publ., 11 (6), 1-27.
30. Petterssen, S., 1940: Weather Analysis and Forecasting. McGraw-Hill, 505 pp.
31. Petterssen, S., 1953: On the relation between vorticity, deformation and divergence and the configuration of the pressure field. Tellus, 5, 231-237.
32. Petterssen, S., 1956: Motion and Motion Systems. Vol. 1, Weather Analysis and Forecasting. 2d ed. McGraw-Hill, 428 pp.
33. Pierrehumbert, R. T., and H. Yang, 1993: Global chaotic mixing on isentropic surfaces. J. Atmos. Sci., 50, 2462-2480.
34. Rotunno, R., W. C. Skamarock, and C. Snyder, 1994: An analysis of frontogenesis in numerical simulations of baroclinic waves. J. Atmos. Sci., 51, 3373-3398.
35. Sanders, F., 1999: A proposed method of surface map analysis. Mon. Wea. Rev., 127, 945-955.
36. Saucier, W. J., 1955: Principles of Meteorological Analysis. University of Chicago Press, 438 pp.
37. Schubert, W. H., M. T. Montgomery, R. K. Taft, T. A. Guinn, S. R. Fulton, J. P. Kossin, and J. P. Edwards, 1999: Polygonal eyewalls, asymmetric eye contraction, and potential vorticity mixing in hurricanes. J. Atmos. Sci., 56, 1197-1223.
38. Schultz, D. M., 2004: Cold fronts with and without prefrontal wind shifts in the central United States. Mon. Wea. Rev., 132, 2040-2053.
39. Schultz, D. M., D. Keyser, and L. F. Bosart, 1998: The effect of large-scale flow on low-level frontal structure and evolution in midlatitude cyclones. Mon. Wea. Rev., 126, 1767-1791.
40. Smith, R. K., W. Ulrich, and G. Dietachmayer, 1990: A numerical study of tropical cyclone motion using a barotropic model. I: The role of vortex asymmetries. Quart. J. Roy. Meteor. Soc., 116, 337-362.
41. Vuorela, L. A., 1953: A synoptic study of deformation fields. Tellus, 5, 413-419.
42. Welander, P., 1955: Studies on the general development of motion in a two-dimensional, ideal fluid. Tellus, 7, 141-156.
43. Wernli, H., 1997: A Lagrangian-based analysis of extratropical cyclones. II: A detailed case-study. Quart. J. Roy. Meteor. Soc., 123,, 1677-1706.
44. Wernli, H., and H. C. Davies, 1997: A Lagrangian-based analysis of extratropical cyclones. I: The method and some applications. Quart. J. Roy. Meteor. Soc., 123, 467-489.
45. Xu, Q., 1988: Baroclinic waves and frontogenesis with an embedded zone of small moist symmetric stability. Quart. J. Roy. Meteor. Soc., 114, 1221-1251.
46. Xu, Q., 1990: Cold and warm frontal circulations in an idealized moist semigeostrophic baroclinic wave. J. Atmos. Sci., 47, 2337-2352.
47. Xu, Q., 1992: A geostrophic pseudovorticity and geostrophic C-vector forcing - A new look at the Q vector in three dimensions. J. Atmos. Sci., 49, 981-990.
48. Zeng, X., R. A. Pielke, and R. Eykholt, 1993: Chaos theory and its applications to the atmosphere. Bull. Amer. Meteor. Soc., 74, 631-644.