The «surf zone» in the stratosphere

Abstract Synoptic, coarse-grain, isentropic maps of Ertel's potential vorticity Q for the northern middle stratosphere, estimated using a large-Richardson-number approximation, are presented for a number of days in January–February 1979, together with some related isentropic trajectory calculations The effects of substituting FGGE for NMC base data are noted, as well as some slight corrections to maps published earlier. The combined evidence from the observations and from dynamical models strongly indicates the existence of planetary-wave breaking, a process in which material contours are rapidly and irreversibly deformed. In the winter stratosphere this occurs most spectacularly in a gigantic ‘nonlinear critical layer’, or ‘surf zone’, which surrounds the main polar vortex, and which tends to erode the vortex when wave amplitudes become large. Some of the FGGE-based Q maps suggest that we may be seeing glimpses of local dynamical instabilities and vortex-rollup phenomena within breaking planetary waves. Related phenomena in the troposphere are discussed. An objective definition of the area A(t) of the main vortex, as it appears on isentropic Q maps, is proposed. A smoothed time series of daily values of A(t) should be a statistically powerful ‘circulation index’ for the state of the winter-time middle stratosphere, which avoids the loss of information incurred by Eulerian space and time averaging.

[1]  R. J. Reed,et al.  AN INVESTIGATION OF THE DEVELOPMENT OF A MID-TROPOSPHERIC FRONTAL ZONE AND ITS ASSOCIATED VORTICITY FIELD , 1953 .

[2]  Murry L. Salby,et al.  Sampling Theory for Asynoptic Satellite Observations. Part II: Fast Fourier Synoptic Mapping , 1982 .

[3]  Murry L. Salby,et al.  Sampling Theory for Asynoptic Satellite Observations. Part I: Space-Time Spectra, Resolution, and Aliasing. , 1982 .

[4]  Rudolf Peierls,et al.  Surprises in Theoretical Physics , 1981 .

[5]  J. Pedlosky Geophysical Fluid Dynamics , 1979 .

[6]  K. Tung,et al.  A Theory of Stationary Long Waves. Part I: A Simple Theory of Blocking , 1979 .

[7]  A. E. Gill Atmosphere-Ocean Dynamics , 1982 .

[8]  T. Palmer,et al.  Breaking planetary waves in the stratosphere , 1983, Nature.

[9]  M. McIntyre How Well do we Understand the Dynamics of Stratospheric Warmings , 1982 .

[10]  R. Dickinson Theory of Planetary Wave-Zonal Flow Interaction. , 1969 .

[11]  J. Woods Wave-induced shear instability in the summer thermocline , 1968, Journal of Fluid Mechanics.

[12]  W. R. Holland,et al.  Dynamics of the oceanic general circulation: the potential vorticity field , 1984, Nature.

[13]  George Keith Batchelor,et al.  An Introduction to Fluid Dynamics. , 1969 .

[14]  O. Phillips The dynamics of the upper ocean , 1966 .

[15]  P. Rhines,et al.  North Atlantic Potential Vorticity and Its Relation to the General Circulation , 1982 .

[16]  D. R. Pick,et al.  Early results based on the stratospheric channels of TOVS on the TIROS-N series of operational satellites , 1981 .

[17]  M. Shapiro The Role of Turbulent Heat Flux in the Generation of Potential Vorticity in the Vicinity of Upper-Level Jet Stream Systems , 1976 .

[18]  J. Charney,et al.  On the Stability of Internal Baroclinic Jets in a Rotating Atmosphere. , 1962 .

[19]  William R. Young,et al.  Homogenization of potential vorticity in planetary gyres , 1982, Journal of Fluid Mechanics.

[20]  E. Danielsen,et al.  Stratospheric-Tropospheric Exchange Based on Radioactivity, Ozone and Potential Vorticity , 1968 .

[21]  T. Brooke Benjamin,et al.  Hamiltonian structure, symmetries and conservation laws for water waves , 1982, Journal of Fluid Mechanics.

[22]  A. Soward,et al.  Stellar and planetary magnetism , 1983 .

[23]  Louis Rosenhead,et al.  Laminar boundary layers , 1963 .

[24]  R. A. Plumb Instability of the Distorted Polar Night Vortex: A Theory of Stratospheric Warmings , 1981 .

[25]  R. P. Pearce,et al.  Large-Scale Dynamical Processes in the Atmosphere , 1983 .

[26]  G. Holloway,et al.  Stirring and transport of tracer fields by geostrophic turbulence , 1984, Journal of Fluid Mechanics.

[27]  F. Bretherton Baroclinic instability and the short wavelength cut‐off in terms of potential vorticity , 1966 .

[28]  K. Cehak ReviewAtmospheric circulation systems: PALMÉN, E. and C.W. NEWTON (1969): Their Structure and Physical Interpretation 603 pp., 250 figs., 23 tables. International Geophysics Series, vol. 13. New York/ London: Academic Press. $ 26.00 , 1971 .

[29]  T. Matsuno Vertical Propagation of Stationary Planetary Waves in the Winter Northern Hemisphere , 1970 .

[30]  R. J. Reed,et al.  A STUDY OF A CHARACTERISTIC TPYE OF UPPER-LEVEL FRONTOGENESIS , 1955 .

[31]  J. Turner,et al.  Buoyancy Effects in Fluids , 1973 .

[32]  T. Warn,et al.  The Evolution of a Nonlinear Critical Level , 1978 .

[33]  J. Sarmiento,et al.  The North Atlantic tritium distribution in 1972 , 1982 .

[34]  R. Lindzen Thermally driven diurnal tide in the atmosphere , 1967 .

[35]  L. Rontu,et al.  On shear lines in the upper troposphere over Europe , 1981 .

[36]  P. Welander,et al.  Studies on the General Development of Motion in a Two‐Dimensional, Ideal Fluid , 1955 .

[37]  F. Bretherton,et al.  Two-dimensional turbulence above topography , 1976, Journal of Fluid Mechanics.

[38]  F. Bretherton Critical layer instability in baroclinic flows , 1966 .

[39]  K. Tung,et al.  A Theory of Stationary Long Waves. Part II: Resonant Rossby Waves in the Presence of Realistic Vertical Shears , 1979 .

[40]  B. Hoskins,et al.  Eliassen-Palm Cross Sections for the Troposphere , 1980 .

[41]  R. Lindzen Turbulence and stress owing to gravity wave and tidal breakdown , 1981 .

[42]  E. Danielsen An objective method for determining the generalized transport tensor for two-dimensional Eulerian models , 1981 .

[43]  M. Kanamitsu,et al.  A Study of a Subtropical Upper Level Cyclone Using JMA Operational Forecast Model , 1982 .

[44]  D. O. Staley EVALUATION OF POTENTIAL-VORTICITY CHANGES NEAR THE TROPOPAUSE AND THE RELATED VERTITCAL MOTIONS, VERTICAL ADVECTION OF VORTPCITY, AND TRANSFER OF RADIOACTIVE DEBRIS FROM STRATOSPHERE TO TROPOSPHERE , 1960 .

[45]  V. Starr Physics of Negative Viscosity Phenomena , 1968 .

[46]  P. Rhines,et al.  How rapidly is a passive scalar mixed within closed streamlines? , 1983, Journal of Fluid Mechanics.

[47]  R. Kraichnan,et al.  Decay of two-dimensional homogeneous turbulence , 1974, Journal of Fluid Mechanics.

[48]  R. Hodges,et al.  GENERATION OF TURBULENCE IN THE UPPER ATMOSPHERE BY INTERNAL GRAVITY WAVES. , 1967 .