Skip to main content
Have a personal or library account? Click to login
Potential vorticity mixing by marginally unstable baroclinic disturbances Cover

Potential vorticity mixing by marginally unstable baroclinic disturbances

By:  and    
Open Access
|Jan 1989

References

  1. Abramowitz , M. and Stegun , I . 1972 . Handbook of mathematical functions . New York: Dover , 1046 pp.
  2. Akylas , T. and Benney , D . 1980 . Direct resonance in nonlinear wave systems . Stud. Appl. Math . 63 , 209 226 .
  3. Akylas , T. and Benney , D . 1982 . The evolution of waves near direct resonance conditions . Stud. Appl. Math . 67 , 107 123 .
  4. Batchelor , G . 1956 . Steady laminar flow with closed streamlines at large Reynolds number . J. Fluid Mech . 5 , 113 133 .
  5. Benney D. and Bergeron , R . 1969 . A new class of nonlinear waves in parallel flows . Stud. Appl. Math . 48 , 181 204 .
  6. Boville , B . 1981 . Amplitude vacillation on a β-plane . J. Atmos. Sci . 38 , 609 618 .
  7. Davis , R . 1969 . On the high Reynolds number flow over a wavy boundary . J. Fluid Mech . 36 , 337 346 .
  8. Haynes , P . 1985 . Nonlinear instability of a Rossby wave critical layer . J. Fluid Mech . 161 , 493 511 .
  9. Holopainen , E . 1961 . On the effect of friction in baroclinic waves . Tellus 13 , 363 367 .
  10. Killworth , P. and McIntyre , M . 1985 . Do Rossby wave critical layers absorb, reflect, or overreflect? J. Fluid Mech . 161 , 449 492 .
  11. Maslowe , S . 1986 . Critical layers in shear flows . Ann. Rev. Fluid Mech . 18 , 405 432 .
  12. Newell , A . 1972 . The post-bifurcation stage of baroclinic instability . J. Atmos. Sci . 29 , 64 76 .
  13. Pedlosky , J . 1970 . Finite-amplitude baroclinic waves . J. Atmos. Sci . 27 , 15 30 .
  14. Pedlosky , J . 1979 . Geophysical fluid dynamics . New York: Springer-Verlag , 624 pp.
  15. Pedlosky , J . 1981 . The effect of β on the chaotic behaviour of unstable baroclinic waves . J. Atmos. Sci . 38 , 717 731 .
  16. Pedlosky , J . 1982a . Finite-amplitude baroclinic waves at minimum critical shear . J. Atmos. Sci . 39 , 555 562 .
  17. Pedlosky , J . 1982b . A simple model for nonlinear critical layers in an unstable baroclinic wave . J. Atmos. Sci . 39 , 2119 2127 .
  18. Pedlosky , J. and Polvani , L . 1987 . Wave-wave interaction of unstable baroclinic waves . J. Atmos. Sci . 44 , 631 647 .
  19. Phillips , N . 1954 . Energy transformations and meridional circulations associated with simple baroclinic waves in a two-level, quasi-geostrophic model . Tellus 6 , 273 286 .
  20. Rhines , P. and Young , W . 1983 . How rapidly is a passive scalar mixed within closed streamlines? J. Fluid Mech . 133 , 133 145 .
  21. Salmon , R . 1980 . Baroclinic instability and geostrophic turbulence . Geophys. Astrophys. Fluid Dyn . 15 , 167 211 .
  22. Shepherd , T . 1988 . On the nonlinear saturation of baroclinic instability . Part I: The two-layer model. J. Atmos. Sci ., in press .
  23. Stewartson , K . 1978 . The evolution of the critical layer of a Rossby wave. Geophys . Astrophys. Fluid Dyn . 9 , 185 200 .
  24. Stone , P . 1978 . Baroclinic adjustment . J. Atmos. Sci . 35 , 561 571 .
  25. Vallis , G . 1988 . Numerical studies of eddy transport properties in eddy-resolving and parameterized models . Q. J. R. Meteorol. Soc . 114 , 183 204 .
  26. Warn , T. and Warn , H . 1976 . On the development of a Rossby wave critical level . J. Atmos. Sci . 33 , 2021 2024 .
  27. Warn , T. and Warn , H . 1978 . The evolution of a nonlinear critical level . Stud. Appl. Math . 59 , 37 71 .
  28. Welander , P . 1955 . Studies on the general development of motion in a two-dimensional, ideal fluid . Tellus 7 , 141 156 .
Language: English
Page range: 115 - 131
Submitted on: Jan 18, 1988
Accepted on: Apr 13, 1988
Published on: Jan 1, 1989
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1989 T. Warn, P. Gauthier, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.