Internal gravity waves: From instabilities to turbulence

Annual Review of Fluid Mechanics

Volumn 34, Issue , 2002, Pages 559-593

  Staquet, C ^a   Sommeria, J ^a  

^a LEGI   (France)

Author keywords

Geophysical fluid dynamics; Stratified fluids; Wave breaking; Wave interactions

Indexed keywords

GRAVITY WAVES; SHEAR FLOW; STATISTICAL METHODS; THERMAL STRATIFICATION; TURBULENCE;

STEEPENING EFFECTS;

FLUID MECHANICS;

GEOPHYSICAL FLUID DYNAMICS; GRAVITY WAVE; INSTABILITY; INTERNAL WAVE; STRATIFIED FLUID; TURBULENCE; WAVE BREAKING; WAVE INTERACTION;

GRAVITY WAVE; INSTABILITY; INTERNAL WAVE; TURBULENCE; WAVE BREAKING;

EID: 0036434081     PISSN: 00664189     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.fluid.34.090601.130953     Document Type: Article

References (137)

1. Numerical simulations of internal gravity waves breaking in the middle atmosphere: The influence of dispersion and three dimensionalization
2. Experimental probability density functions of small-scale fluctuations in the stably stratified atmosphere
3. A canonical statistical theory of oceanic internal waves
4. Vorticity dynamics in a breaking internal gravity wave. I. Initial instability evolution
5. On wave-action and its relatives
6. Stratospheric horizontal wavenumber spectra of winds, potential temperature, and atmospheric tracers observed by high-altitude aircraft
7. On the irreversibility of internal-wave dynamics due to wave trapping by mean flow inhomogeneities. Part 1. Local analysis
8. The trapping and vertical focusing of internal waves in a pycnocline due to the horizontal inhomogeneities of density and currents
9. Transformation of internal waves in the equatorial Lomonosov current
10. Wind shear rotary spectra in the atmosphere
11. Internal waves in a horizontally inhomogeneous flow
12. Excitation of internal waves and stratified turbulence by parametric instability
13. Excitation and breaking of internal gravity waves by parametric instability
14. The critical layer for internal gravity waves in a shear flow
15. Breaking of standing internal gravity waves through two-dimensional instabilities
16. Stratified turbulence produced by internal wave breaking: Two-dimensional numerical experiments
17. The propagation of groups of internal gravity waves in a shear flow
18. Wavetrains in inhomogeneous moving media
19. Do orographic gravity waves break in flows with uniform wind direction turning with height?
20. On the non-linear reflexion of a gravity wave at a critical level
21. On non-dissipative wave-mean interactions in the atmosphere or oceans
22. Kinetic equations and stationary energy spectra of weakly non-linear internal gravity waves
23. Spectral approach to axisymmetric turbulence in a stratified fluid
24. Buoyancy- to inertial-range transition in forced stratified turbulence
25. A statistical dynamical theory of strongly nonlinear internal gravity waves
26. Direct evidence of "sheets" in the atmospheric temperature field
27. Near-critical reflection of internal waves
28. The stability of oscillatory internal waves
29. Gravitational instability between horizontal plates with shear
30. Turbulent mixing by breaking gravity waves
31. On the instability of an internal gravity wave
32. Alongslope current generated by obliquely incident internal gravity waves
33. Internal wave reflection and mixing at Fieberling Guyot
34. Gravity wave saturation in the middle atmosphere: A review of theory and observations
35. A quasi-linear study of gravity wave saturation and self-aceleration
36. Gravity wave breaking in two and three dimensions. II. Three-dimensional evolution and instability structure
37. Wave-breaking signatures in noctilucent clouds
38. Internal waves in the ocean
39. Detailed investigation of energy transfers in homogeneous stratified turbulence
40. Two-point closures and their applications: Report on a workshop
41. Diapycnal mixing in the thermocline: A review
42. Internal gravity waves in a slowly varying, dissipative medium
43. The modulation of an internal gravity-wave packet and the resonance with the mean motion
44. Turbulent mixing at a shear-free density interface
45. Feynman diagrams and interaction rules for wave-wave scattering
46. A criterion for nonlinear wave stability
47. Nonlinear interactions treated by the method of theoretical physics (with application to the generation of waves by the wind)
48. The effect of viscosity and heat conduction on internal gravity waves at a critical level
49. Eikonal description of internal wave interactions: A non-diffusive picture of "induced diffusion"
50. Energy and action flow through the internal wave field: An eikonal approach
51. The saturation of gravity waves in the middle atmosphere: Development of Doppler-spread theory
52. Oceanic internal waves are not weak waves
53. The buoyancy flux from internal gravity wave breaking
54. Theories of internal wave interaction and stably stratified turbulence: Testing against direct numerical experimentation
55. Stratosphere-trotosphere exchange
56. Observations of horizontal and vertical wavenumber spectra of gravity wave motions in the stratosphere and mesosphere over the mid-Pacific
57. Deformation of internal gravity waves by a stream with horizontal shear
58. Turbulent mixing in a sloping benthic boundary layer energized by internal waves
59. Numerical study of internal wave reflection from sloping boundaries
60. The reflection of beams of internal gravity waves at a flat rigid surface
61. On parametric instabilities of finite-amplitude internal gravity waves
62. On the role of parametric instability of internal gravity waves in atmospheric radar observations
63. Two and three-dimensional parametric instabilities in finite amplitude internal gravity waves
64. Measurements of internal gravity waves in a continuously stratified shear flow
65. Inertia-gravity wave breaking in three dimensions. Part II. Convectively unstable waves
66. Instability and breakdown of internal gravity waves. I. Linear stability analysis
67. On the breakdown into turbulence of propagating internal waves
68. The spectrum of nearly inertial turbulence in a stably stratified fluid
69. Observation of an internal wave attractor in a confined, stably stratified fluid
70. Geometric focusing of internal waves
71. The excitation of resonant triads by single internal waves
72. Critical layers in shear flows
73. Resonant interactions of oceanic internal waves
74. The dynamic balance of internal waves
75. Degeneration of resonantly excited standing internal gravity waves
76. Internal mixing in stratified fluids
77. Forced resonant second-order interaction between damped internal waves
78. Off-resonant amplification of finite internal wave packets
79. The stratospheric polar vortex and sub-vortex: Fluid dynamics and mid-latitude ozone loss
80. On global-scale atmospheric circulations
81. Dissipative wave-mean interactions and the transport of vorticity and potential vorticity
82. The occurence of parametric instabilities in finite-amplitude internal gravity waves
83. On the diffusion of momentum and mass by internal gravity waves
84. Nonlinear interactions among internal gravity waves
85. Internal waves and small-scale processes
86. Nonlinear energy transfer and the energy balance of the internal wave field in the deep ocean
87. The propagation of internal waves in a geostrophic current
88. Models of the oceanic internal wave field
89. On the breaking of standing internal gravity waves
90. Energy transfer among internal gravity modes: Weak and strong interactions
91. Wave interactions - the evolution of an idea
92. Universal short-wave instability of two-dimensional eddies in an inviscid fluid
93. Energy transfers across an internal wave-vortical mode spectrum
94. Inertial waves in a rotating spherical shell: Attractors and asymptotic spectrum
95. Fluid motions in the presence of strong stable stratification
96. On the theory of nonlinear wave-wave interactions among geophysical waves
97. A spectral model of wind-forced internal waves
98. Diffusion process produced by random internal waves
99. A study of streamwise vortex structures in a stratified shear layer
100. Scalar turbulence
101. Stationary gravity-wave structure in flows with directional mean shear
102. The structure of Titan's stratosphere from the 28 sgr occultation
103. Turbulent dynamics of a critically reflecting internal gravity wave
104. Internal wave reflection from sloping boundaries
105. Toward a unified theory of gravity wave stability
106. Atmospheric gravity-wave spectra: A stochastic approach
107. Mixing by breaking internal gravity waves
108. Statistical modelling and direct numerical simulations of decaying stably stratified turbulence. I. Flow energetics
109. Transport across a barotropic shear flow by breaking inertia-gravity waves
110. Internal wave-wave interactions. Part II. Spectral energy transfer and turbulence production
111. Internal wave reflection in uniform shear
112. Finite-amplitude internal wave-packet dispersion and breaking
113. The energetics of breaking events in a resonantly forced internal wave field
114. Turbulence and mixing in the boundary layer generated by shoaling internal waves
115. On standing internal gravity waves of finite amplitude
116. Statically unstable layers produced by overturning internal gravity waves
117. Observations of parametric instability and breaking waves in an oscillating tilted tube
118. On the breaking of internal waves in the ocean
119. The generation of along-slope currents by breaking internal waves
120. Turbulent mixing in the ocean: Intensity, causes and consequences
121. Break-up of a stratospheric streamer observed by MST radar
122. On the propagation and dissipation of gravity wave spectra through a realistic middle atmosphere
123. Three-dimensional wave breaking near a critical level
124. Direct simulation of internal wave energy transfer
125. Instability of internal waves near a critical level
126. Atmospheric lee waves
127. Along-slope current generation by obliquely incident internal waves