Advanced search
Publication Cover
Tellus A: Dynamic Meteorology and Oceanography Volume 41, 1989 - Issue 2
Journal homepage
120
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Potential vorticity mixing by marginally unstable baroclinic disturbances

T. WarnDepartment of Meteorology, McGill University, Montreal, Quebec, Canada
&
P. GauthierDepartment of Meteorology, McGill University, Montreal, Quebec, Canada
Pages 115-131 | Received 18 Jan 1988, Accepted 13 Apr 1988, Published online: 15 Dec 2016

References

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

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.