Layering accompanying turbulence generation due to shear instability and gravity‐wave breaking

[1] We describe and compare idealized high-resolution simulations of turbulence arising due to Kelvin-Helmholtz shear instability and gravity-wave breaking, believed to be the two major sources of turbulence generation near the mesopause. The two flows both share characteristics related to turbulence transition, evolution, and duration and exhibit a number of differences that have important implications for layering, layered structures, and atmospheric observations at mesopause altitudes. Common features related to layering include sharp local gradients in turbulent kinetic energy production, dissipation, and magnitude and a clear spatial separation of the maxima of turbulent kinetic energy dissipation and thermal dissipation accompanying vigorous turbulence. Differences arise because shear instability causes turbulence and mixing confined by stratification to a narrow layer, whereas gravity-wave breaking leads to a maximum of turbulence activity that moves with the phase of the wave. As a result, the effects of turbulence due to shear instability likely persist for much longer than those of turbulence due to gravity-wave breaking. We also discuss the implications of these results for a number of atmospheric measurements employing radar.

[1]  R. Woodman,et al.  Evaluation of effective eddy diffusive coefficients using radar observations of turbulence in the stratosphere , 1984 .

[2]  Joseph Werne,et al.  Stratified shear turbulence: Evolution and statistics , 1999 .

[3]  Toru Sato,et al.  Fine Altitude Resolution Observations of Stratospheric Turbulent Layers by the Arecibo 430 MHz Radar , 1982 .

[4]  John Y. N. Cho,et al.  First in‐situ observations of neutral and plasma density fluctuations within a PMSE layer , 1993 .

[5]  E. Dewan,et al.  Stratospheric turbulence and vertical effective diffusion coefficients , 1975 .

[6]  G. Schubert,et al.  Nonlinear evolution of an upward propagating gravity wave: overturning, convection, transience and turbulence , 1990 .

[7]  G. Schmidt,et al.  High-Resolution VHF Radar Sounding of the Troposphere and Stratosphere , 1979, IEEE Transactions on Geoscience Electronics.

[8]  M. McIntyre On Dynamics and Transport Near the Polar Mesopause in Summer , 1989 .

[9]  K. Browning Structure of the atmosphere in the vicinity of large‐amplitude Kelvin‐Helmholtz billows , 1971 .

[10]  P. Ø. Hvidsten,et al.  Vorticity dynamics in a breaking internal gravity wave. Part 1. Initial instability evolution , 1998, Journal of Fluid Mechanics.

[11]  D. Fritts,et al.  Direct numerical simulation of VHF radar measurements of turbulence in the mesosphere , 2000 .

[12]  C. Coulman,et al.  Optical seeing-mechanism of formation of thin turbulent laminae in the atmosphere. , 1995, Applied optics.

[13]  David C. Fritts,et al.  Wave breaking and transition to turbulence in stratified shear flows , 1996 .

[14]  D. Fritts,et al.  Gravity wave breaking in two and three dimensions: 3. Vortex breakdown and transition to isotropy , 1994 .

[15]  D. Fritts,et al.  Kelvin twist waves in the transition to turbulence , 1998 .

[16]  M. Yamamoto,et al.  Interpretation of the structure of mesospheric turbulence layers in terms of inertia gravity waves , 1988 .

[17]  D. Fritts,et al.  Anisotropy in a stratified shear layer , 2001 .

[18]  M. Rapp,et al.  Neutral air turbulence and temperatures in the vicinity of polar mesosphere summer echoes , 2002 .

[19]  D. Fritts,et al.  Turbulence-induced fluctuations in ionization and application to PMSE , 1999 .

[20]  G. R. Stitt,et al.  Interferometric cross‐spectral studies of mesospheric scattering layers , 1991 .

[21]  S. Thorpe Laboratory observations of secondary structures in kelvin-helmhoitz billows and consequences for ocean mixing , 1985 .

[22]  D. R. Jensen,et al.  An Analytical Study of Tropospheric Structure as Seen by High-Resolution Radar , 1971 .

[23]  Rolando R. Garcia,et al.  The effect of breaking gravity waves on the dynamics and chemical composition of the mesosphere and lower thermosphere , 1985 .

[24]  J. Wyngaard Lectures on the Planetary Boundary Layer , 1983 .

[25]  Frank D. Eaton,et al.  A new frequency‐modulated continuous wave radar for studying planetary boundary layer morphology , 1995 .

[26]  I. Reid Radar observtions of stratified layers in the mesosphere and lower thermosphere (50–100 km) , 1990 .

[27]  D. Cadet Energy Dissipation Within Intermittent Clear Air Turbulence Patches , 1977 .

[28]  J. Weinstock,et al.  Vertical Turbulent Diffusion in a Stably Stratified Fluid , 1978 .

[29]  Reginald J. Hill,et al.  Models of the scalar spectrum for turbulent advection , 1978, Journal of Fluid Mechanics.

[30]  Joan Cuxart,et al.  CASES-99: a comprehensive investigation of the stable nocturnal boundary layer , 2002 .

[31]  D. Fritts,et al.  The initial value problem for Kelvin vortex waves , 1997, Journal of Fluid Mechanics.

[32]  J. Holton An introduction to dynamic meteorology , 2004 .

[33]  G. D. Nastrom,et al.  Mean Vertical Motions Seen by Radar Wind Profilers , 1994 .

[34]  Wayne K. Hocking,et al.  Measurement of turbulent energy dissipation rates in the middle atmosphere by radar techniques: A review , 1985 .

[35]  D. Fritts,et al.  Vorticity dynamics in a breaking internal gravity wave. Part 2. Vortex interactions and transition to turbulence , 1998, Journal of Fluid Mechanics.

[36]  T. Dunkerton,et al.  Fluxes of Heat and Constituents Due to Convectively Unstable Gravity Waves , 1985 .

[37]  David C. Fritts,et al.  Evolution and Breakdown of Kelvin–Helmholtz Billows in Stratified Compressible Flows. Part II: Instability Structure, Evolution, and Energetics , 1996 .

[38]  C. Koop,et al.  Measurements of internal gravity waves in a continuously stratified shear flow , 1986, Journal of Fluid Mechanics.

[39]  F. Lübken Seasonal variation of turbulent energy dissipation rates at high latitudes as determined by in situ measurements of neutral density fluctuations , 1997 .

[40]  D. Fritts,et al.  High-resolution measurements of vertical velocity with the European incoherent scatter VHF radar: 1. Motion field characteristics and measurement biases , 1995 .

[41]  W. Smyth Dissipation-range geometry and scalar spectra in sheared stratified turbulence , 1999, Journal of Fluid Mechanics.

[42]  Lord Kelvin,et al.  Vibrations of a columnar vortex , 1880 .

[43]  D. Siskind,et al.  Atmospheric science across the stratopause , 2000 .

[44]  S. A. Thorpe,et al.  Experiments on instability and turbulence in a stratified shear flow , 1973, Journal of Fluid Mechanics.

[45]  Peter F. Lester,et al.  Waves and Turbulence in the Stratosphere , 1974 .

[46]  A. Kolmogorov The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[47]  D. Fritts,et al.  Gravity wave breaking in two and three dimensions: 1. Model description and comparison of two‐dimensional evolutions , 1994 .

[48]  W. Ecklund,et al.  Comparison of simultaneous MST radar and electron density probe measurements during STATE , 1988 .

[49]  M. Alexander,et al.  Gravity wave dynamics and effects in the middle atmosphere , 2003 .

[50]  W. Peltier,et al.  The onset of turbulence in finite-amplitude Kelvin–Helmholtz billows , 1985, Journal of Fluid Mechanics.

[51]  R. Bolgiano,et al.  Turbulent spectra in a stably stratified atmosphere , 1959 .

[52]  D. Fritts,et al.  Gravity wave breaking in two and three dimensions: 2. Three‐dimensional evolution and instability structure , 1994 .

[53]  S. W. Thomson,et al.  XXIV. Vibrations of a columnar vortex , 1880 .

[54]  D. Fritts,et al.  Gravity wave heat fluxes - A Lagrangian approach , 1988 .

[55]  Toru Sato,et al.  Fine Altitude Resolution Radar Observations of Upper-Tropospheric and Lower-Stratospheric Winds and Waves , 1982 .

[56]  D. Strobel,et al.  Energy balance constraints on gravity wave induced eddy diffusion in the mesosphere and lower thermosphere , 1985 .

[57]  J. Riley,et al.  Instability and breakdown of internal gravity waves. I. Linear stability analysis , 1996 .

[58]  S. A. Thorpe,et al.  Transitional phenomena and the development of turbulence in stratified fluids: A review , 1987 .

[59]  Matthew T. DeLand,et al.  Vertical constituent transport in the mesosphere , 1987 .