Some aspects of turbulence and mixing in stably stratified layers

Bengtsson, 1994, Preface: Tellus special issue on forecasting short-term climate variations, Tellus, 46A, 339, 10.1034/j.1600-0870.1994.t01-5-00001.x Brainerd, 1993, Diurnal restratification and turbulence in oceanic surface mixed layer. 1. Observations, J. Geophys. Res., 98, 22645, 10.1029/93JC02297 Breidenthal, 1981, Structure in turbulent mixing layers and wakes using a chemical reaction, J. Fluid Mech., 109, 1, 10.1017/S0022112081000906 Britter, 1983, The effects of stable stratification on turbulent diffusion and the decay of grid turbulence, J. Fluid Mech., 127, 27, 10.1017/S0022112083002591 Broadwell, 1982, A simple model of mixing chemical reaction in a turbulent shear layer, J. Fluid Mech., 125, 397, 10.1017/S0022112082003401 Brost, 1978, A model study of the stably stratified planetary boundary layer, J. Atmos. Sci., 35, 1427, 10.1175/1520-0469(1978)035<1427:AMSOTS>2.0.CO;2 Bryan, 1987, Parameter sensitivity of primitive equation ocean circulation models, J. Phys. Oceanogr., 17, 970, 10.1175/1520-0485(1987)017<0970:PSOPEO>2.0.CO;2 Caldwell, 1983, Oceanic turbulence: big bangs or continuous creation?, J. Geophys. Res., 88, 7543, 10.1029/JC088iC12p07543 Carruthers, 1986, Velocity fluctuations near an interface between a turbulent region and a stably stratified layer, J. Fluid Mech., 165, 475, 10.1017/S002211208600318X Carruthers, 1995, Waves, turbulence and entrainment near an inversion layer, J. Fluid Mech. Caughey, 1979, Turbulence in the evolving stable boundary layer, J. Atmos. Sci., 36, 1041, 10.1175/1520-0469(1979)036<1041:TITESB>2.0.CO;2 Derbyshire, 1990, Nieuwstadt's stable boundary layer revisited, Q. J. R. Meteorol. Soc., 116, 127, 10.1002/qj.49711649106 Derbyshire, 1993, Structure of turbulence in stably stratified atmospheric boundary layers; comparison of large eddy simulations and theoretical models, 23 DeSilva, 1992, Some aspects of mixing in a stratified turbulent patch, J. Fluid Mech., 240, 601, 10.1017/S0022112092000223 DeSilva, 1995, Kelvin-Helmholtz billows: when do they become turbulent?, Earth Planet. Sci. Lett. Durst, 1933, Breakdown of steep wind gradients in inversions, Q. J. R. Meteorol. Soc., 54, 131, 10.1002/qj.49705924906 E, 1986, On mixing across an interface in stably stratified fluid, J. Fluid Mech., 166, 227, 10.1017/S0022112086000125 Fernando, 1986, A discussion on the dynamics of jets in two-layer stratified fluids, ASCE J. Hydraul. Eng., 112, 1107, 10.1061/(ASCE)0733-9429(1986)112:11(1107) Fernando, 1988, The growth of a turbulent patch in a stratified fluid, J. Fluid Mech., 190, 55, 10.1017/S002211208800120X Fernando, 1991, Turbulent mixing in stratified fluids, Annu. Rev. Fluid Mech., 23, 455, 10.1146/annurev.fl.23.010191.002323 Fernando, 1996 Fernando, 1991, Mixing across sheared stratified interfaces, 391 Gargett, 1984, Local isotropy and the decay of turbulence in a stratified fluid, J. Fluid Mech., 144, 231, 10.1017/S0022112084001592 Gibson, 1980, Fossil turbulence, salinity and vorticity, turbulence in the ocean, 221, 10.1016/S0422-9894(08)71223-6 Gill, 1982 Gregg, 1984, Persistent turbulent mixing and near-inertial waves, 1 Hannoun, 1988, Turbulent mixing at a shear free density interface, J. Fluid Mech., 189, 211, 10.1017/S0022112088000977 Hannoun, 1988, Turbulence structure near a sharp density interface, J. Fluid Mech., 189, 189, 10.1017/S0022112088000965 Hebert, 1992, Turbulence and internal waves at the equator, part II: Details of a single event, J. Phys. Oceanogr., 22, 1346, 10.1175/1520-0485(1992)022<1346:TAIWAT>2.0.CO;2 Holt, 1992, A numerical study of the evolution and structure of homogeneous stably stratified shear turbulence, J. Fluid Mech., 237, 499, 10.1017/S0022112092003513 Hunt, 1984, Turbulence structure in thermal convection and shear-free boundary layers, J. Fluid Mech., 138, 161, 10.1017/S0022112084000070 Hunt, 1990, Rapid distortion theory and the problems of turbulence, J. Fluid Mech., 212, 497, 10.1017/S0022112090002075 Hunt, 1985, Some observations of turbulence structure in stable layers, Q. J. R. Meteorol. Soc., 111, 793, 10.1256/smsqj.46907 Hunt, 1988, Length scales in stably stratified turbulent flows and their use in turbulence models, 285 Hunt, 1996, Stably stratified flows in meteorology, Dyn. Atmos. Oceans, 23, 63, 10.1016/0377-0265(95)00410-6 Ivey, 1991, On the nature of turbulence in a stratified fluid. Part 1: The efficiency of mixing, J. Phys. Oceanogr., 21, 650, 10.1175/1520-0485(1991)021<0650:OTNOTI>2.0.CO;2 Kaimal, 1976, Turbulence structure in the convective boundary layer, J. Atmos. Sci., 33, 2153, 10.1175/1520-0469(1976)033<2152:TSITCB>2.0.CO;2 Konrad, 1976, An experimental investigation of mixing in two dimensional turbulent shear flows with applications to diffusion-limited chemical reactions Koochesfahani, 1986, Mixing and chemical reactions in a turbulent liquid mixing layer, J. Fluid Mech., 170, 83, 10.1017/S0022112086000812 Kraus, 1967, A one-dimensional model of the seasonal thermocline; 11. General theory and its consequences, Tellus, 19, 98, 10.1111/j.2153-3490.1967.tb01462.x Ledwell, 1993, Evidence for slow mixing across the pycnocline from an open-ocean tracer-release experiment, Nature, 364, 701, 10.1038/364701a0 Lienhard, 1990, The decay of turbulence in thermally stratified flow, J. Fluid Mech., 210, 57, 10.1017/S0022112090001227 Linden, 1980, Mixing across a density interface produced by grid turbulence, J. Fluid Mech., 100, 691, 10.1017/S002211208000136X MacVean, 1990, Cloud-top entrainment instability through small-scale mixing and its parameterization in numerical models, J. Atmos Sci., 47, 1012, 10.1175/1520-0469(1990)047<1012:CTEITS>2.0.CO;2 Maryon, 1989, The effect of grid resolution upon the numerical modeling of the convective boundary layer, Boundary-Layer Meteorol., 46, 69, 10.1007/BF00118447 McEwan, 1983, The kinematics of stratified mixing through internal wave breaking, J. Fluid Mech., 128, 47, 10.1017/S0022112083000373 Miles, 1984, Richardson number criterion for the stability of stratified shear flow, Phys. Fluids, 29, 3470, 10.1063/1.865812 Mobbs, 1993, A turbulence model for inclined, bubbly flows, Appl. Sci. Res., 51, 263, 10.1007/BF01082547 Mourn, 1992, Turbulence and internal waves at the equator, Part I: Statistics from towed thermistors and a microstructure profiler, J. Phys. Oceanogr., 22, 1357 Mungel, 1984, Mixing and combustion with low heat release in a turbulent shear layer, J. Fluid Mech., 148, 349, 10.1017/S002211208400238X Nappo, 1991, Sporadic breakdowns of stability in the PBL over simple and complex terrain, Boundary-Layer Meteorol., 54, 69, 10.1007/BF00119413 Narimousa, 1987, On the sheared density interface of an entraining stratified fluid, J. Fluid Mech., 174, 1, 10.1017/S0022112087000016 Nastrom, 1984, Atmospheric kinetic energy spectrum, 100-104, Nature, 310, 36, 10.1038/310036a0 Nieuwstadt, 1984, The turbulent structure of the stable, nocturnal boundary layer, J. Atmos. Sci., 41, 2202, 10.1175/1520-0469(1984)041<2202:TTSOTS>2.0.CO;2 Nieuwstadt, 1984, Some aspects of the turbulent stable boundary layer, Boundary-Layer Meteorol., 30, 31, 10.1007/BF00121948 Pacanowski, 1981, Parameterization of vertical mixing in numerical models of tropical oceans, J. Phys. Oceanogr., 11, 1442, 10.1175/1520-0485(1981)011<1443:POVMIN>2.0.CO;2 Pearson, 1983, The final stage of decay of turbulence in stably stratified fluids, J. Fluid Mech., 134, 195, 10.1017/S0022112083003304 Pearson, 1983, A statistical model of fluid element motions and vertical diffusion in a homogeneous stratified turbulent flow, J. Fluid Mech., 129, 219, 10.1017/S0022112083000749 Perera, 1994, Turbulent mixing at an inversion layer, J. Fluid Mech., 267, 275, 10.1017/S0022112094001187 Peters, 1988, On the parameterization of equatorial turbulence, J. Geophys. Res., 93, 1199, 10.1029/JC093iC02p01199 Phillips, 1972, Turbulence in a strongly stratified fluid—Is it unstable?, Deep-Sea Res., 19, 79 Phillips, 1977 Riley, 1981, Direct numerical simulations of homogeneous turbulence in density-stratified fluids, 76, 79 Rohr, 1987, Mixing efficiency in stably stratified growing turbulence, J. Geophys. Res., 92, 5481, 10.1029/JC092iC05p05481 Ruddick, 1989, The formation of layers in a uniformly stirred density gradient, Deep-Sea Res., 36, 597, 10.1016/0198-0149(89)90009-5 Schneider, 1994, Sensitivity of the surface ocean to the parameterization of vertical mixing, J. Phys. Oceanogr., 24, 1623, 10.1175/1520-0485(1994)024<1623:SOTSEO>2.0.CO;2 Schumann, 1994, Direct and large-eddy simulations of stratified homogeneous shear flows Spigel, 1986, Modeling the diurnal mixed layer, Limnol. Oceanogr., 31, 533, 10.4319/lo.1986.31.3.0533 Stephenson, 1991, Turbulence and mixing in a stratified shear flow, J. Geophys. Astrophys. Fluid Dyn., 59, 147, 10.1080/03091929108227777 Stockdale, 1993, Intercomparison of tropical ocean GCMS Taylor, 1921, Diffusion by continuous movements, 20, 196 Taylor, 1992, The energetics of breaking events in a resonantly forced internal wave field, J. Fluid Mech., 239, 309, 10.1017/S0022112092004427 Tennekes, 1975, Eulerian and Lagrangian time microscales in isotropic turbulence, J. Fluid Mech., 67, 561, 10.1017/S0022112075000468 Thorpe, 1987, Transitional phenomena and the development of turbulence in stratified fluids: a review, J. Geophys. Res., 92, 5231, 10.1029/JC092iC05p05231 Townsend, 1976 Turner, 1973 Voropayev, 1993, Experiments on the evolution of gravitational instability of an overturned, initially stably stratified fluid, Phys. Fluids, 5, 2461, 10.1063/1.858759 Wu, 1969, Mixed region collapse with internal wave generation in a density stratified medium, J. Fluid Mech., 35, 531, 10.1017/S0022112069001261