Turbulence statistics of a Kelvin-Helmholtz billow event observed in the night-time boundary layer during the Cooperative Atmosphere-Surface Exchange Study field program

Abstract An apparent shear flow instability occurred in the stably stratified night-time boundary layer on 6 October 1999 over the Cooperative Atmosphere–Surface Exchange Study (CASES-99) site in southeast Kansas. This instability promoted a train of billows which appeared to be in different stages of evolution. Data were collected by sonic anemometers and a high-frequency thermocouple array distributed on a 60 m tower at the site, and a high resolution Doppler lidar (HRDL), situated close to the tower. Data from these instruments were used to analyze the characteristics of the instability and the billow event. The instability occurred in a layer characterized by a minimum Richardson number Ri∼0.13, and where an inflection in the background wind profile was also documented. The billows, which translated over the site for approximately 30 min, were approximately L∼320 m in length and, after billow evolution they were contained in a layer depth H∼30 m. Their maximum amplitude, determined by HRDL data, occurred at a height of 56 m. Billow overturns, responsible for mixing of heat and momentum, and high-frequency intermittent turbulence produce kurtosis values above the Gaussian value of 3, particularly in the lower part of the active layer.

[1]  Christian J. Grund,et al.  High-Resolution Doppler Lidar for Boundary Layer and Cloud Research , 2001 .

[2]  Louis N. Howard,et al.  Note on a heterogeneous shear flow , 1964, Journal of Fluid Mechanics.

[3]  T. A. Black,et al.  Observation of gravity waves in a boreal forest , 1997 .

[4]  W. Peltier,et al.  Three dimensionalization of the stratified mixing layer , 1994 .

[5]  Resonant Parallel Shear Instability in the Stably Stratified Planetary Boundary Layer , 1976 .

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

[7]  R. S. Scorer Dynamics of meteorology and climate , 1997 .

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

[9]  P. Drazin The stability of a shear layer in an unbounded heterogeneous inviscid fluid , 1958, Journal of Fluid Mechanics.

[10]  C. Nappo Sporadic breakdowns of stability in the PBL over simple and complex terrain , 1991 .

[11]  V. Wulfmeyer,et al.  2-microm Doppler lidar transmitter with high frequency stability and low chirp. , 2000, Optics letters.

[12]  Harindra J. S. Fernando,et al.  TURBULENT MIXING IN STRATIFIED FLUIDS , 1991 .

[13]  K. A. Browning,et al.  The Determination of Kinematic Properties of a Wind Field Using Doppler Radar , 1968 .

[14]  H. Fernando,et al.  Evolution of Kelvin-Helmholtz billows in nature and laboratory , 1996 .

[15]  D. Lalas,et al.  On the Characteristics of Gravity Waves Generated by Atmospheric Shear Layers , 1976 .

[16]  G. M. Corcos,et al.  A numerical simulation of Kelvin-Helmholtz waves of finite amplitude , 1976, Journal of Fluid Mechanics.

[17]  D. Fritts,et al.  Three-dimensional evolution of Kelvin-Helmholtz billows in stratified compressible flow , 1994 .

[18]  J. H. Richter,et al.  The Birth of “CAT” and Microscale Turbulence , 1970 .

[19]  T. L. Clark,et al.  The evolution of finite amplitude kelvin-helmholtz billows , 1978 .

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

[21]  A. D. Baas,et al.  Internal gravity waves in a stably stratified boundary layer , 1985 .

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

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

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

[25]  F. Hall,et al.  Observed generation of an atmospheric gravity wave by shear instability in the mean flow of the planetary boundary layer , 1973 .

[26]  Louis N. Howard,et al.  Note on a paper of John W. Miles , 1961, Journal of Fluid Mechanics.

[27]  F. Ludlam Characteristics of billow clouds and their relation to clear-air turbulence , 1967 .

[28]  David C. Fritts,et al.  Evolution and breakdown of Kelvin-Helmholtz billows in stratified compressible flows. Part I: Comparison of two- and three-dimensional flows , 1996 .