Energy- and flux-budget turbulence closure model for stably stratified Flows. Part II: The role of internal gravity waves

Boundary-Layer Meteorology

Volumn 133, Issue 2, 2009, Pages 139-164

  Zilitinkevich, S S ^a,b,c   Elperin, T ^d   Kleeorin, N ^d   L'Vov, V ^e   Rogachevskii, I ^d  

^a FINNISH METEOROLOGICAL INSTITUTE   (Finland)

^b UNIVERSITY OF HELSINKI   (Finland)

^c BJERKNES CENTRE FOR CLIMATE RESEARCH   (Norway)

^d BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^e WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

Internal gravity waves; Stable stratification; Turbulence closure; Turbulent energies; Vertical turbulent fluxes; Wave induced transports

Indexed keywords

INTERNAL GRAVITY WAVES; STABLE STRATIFICATION; TURBULENCE CLOSURES; TURBULENT ENERGIES; TURBULENT FLUX; VERTICAL TURBULENT FLUXES;

ATMOSPHERIC MOVEMENTS; ATMOSPHERIC THERMODYNAMICS; ATMOSPHERIC TURBULENCE; BOUNDARY LAYER FLOW; BUDGET CONTROL; COMPUTATIONAL FLUID DYNAMICS; GRAVITY WAVES; HYDRODYNAMICS; KINETIC ENERGY; LARGE EDDY SIMULATION; MIXED CONVECTION; PRANDTL NUMBER; SIMULATORS; TURBULENCE; TURBULENT FLOW; WAVE ENERGY CONVERSION; WAVES;

GRAVITATIONAL EFFECTS;

ATMOSPHERIC MODELING; COMPUTER SIMULATION; ENERGY FLUX; EXPERIMENTAL STUDY; GRAVITY WAVE; HEAT FLUX; KINETIC ENERGY; LABORATORY METHOD; LARGE EDDY SIMULATION; MOMENTUM; NUMERICAL MODEL; POTENTIAL ENERGY; RICHARDSON NUMBER; STRATIFICATION; STRATIFIED FLOW; TEMPERATURE GRADIENT; TURBULENT FLOW; WIND SHEAR;

EID: 71149100469     PISSN: 00068314     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10546-009-9424-0     Document Type: Article

References (61)

1. Baines PG (1995) Topographic effects in stratified flows. Cambridge University Press, New York, p 482
2. RM Banta RK Newsom JK Lundquist YL Pichugina RL Coulter L Mahrt 2002 Nocturnal low-level jet characteristics over Kansas during CASES-99 Boundary-Layer Meteorol 105 221 252 10.1023/A:1019992330866 (Pubitemid 35162190)
3. H Baumert H Peters 2004 Turbulence closure, steady state, and collapse into waves J Phys Oceanogr 34 505 512 10.1175/1520-0485(2004)034<0505: TCSSAC>2.0.CO;2
4. H Baumert H Peters 2009 Turbulence closure: turbulence, waves and the wave-turbulence transition-part 1: vanishing mean shear Ocean Sci 5 47 58
5. Beer T (1974) Atmospheric waves. Wiley, New York, p 300
6. F Bertin J Barat R Wilson 1997 Energy dissipation rates, eddy diffusivity, and the Prandtl number: an in situ experimental approach and its consequences on radar estimate of turbulent parameters Radio Sci 32 791 804 10.1029/96RS03691
7. VM Canuto F Minotti 1993 Stratified turbulence in the atmosphere and oceans: a new sub-grid model J Atmos Sci 50 1925 1935 10.1175/1520-0469(1993) 050<1925:STITAA>2.0.CO;2
8. VM Canuto Y Cheng AM Howard IN Esau 2008 Stably stratified flows: a model with no Ri(cr) J Atmos Sci 65 2437 2447 10.1175/2007JAS2470.1
9. Y Cheng VM Canuto AM Howard 2002 An improved model for the turbulent PBL J Atmos Sci 59 1550 1565 10.1175/1520-0469(2002)059<1550:AIMFTT>2.0.CO;2
10. G Chimonas 1999 Steps, waves and turbulence in the stably stratified planetary boundary layer Boundary-Layer Meteorol 90 397 421 10.1023/A: 1001709029773 (Pubitemid 29440289)
11. SW Churchill 2002 A reinterpretation of the turbulent Prandtl number Ind Eng Chem Res 41 6393 6401 10.1021/ie011021k
12. F Einaudi JJ Finnigan 1993 Wave-turbulence dynamics in the stably stratified boundary layer J Atmos Sci 50 1841 1864 10.1175/1520-0469(1993) 050<1841:WTDITS>2.0.CO;2
13. F Einaudi JJ Finnigan D Fua 1984 Gravity wave turbulence interaction in the presence of a critical level J Atmos Sci 41 661 667 10.1175/1520-0469(1984) 041<0661:GWTIIT>2.0.CO;2
14. T Elperin N Kleeorin I Rogachevskii 1996 Isotropic and anisotropic spectra of passive scalar fluctuations in turbulent fluid flow Phys Rev E 53 3431 3441 10.1103/PhysRevE.53.3431
15. T Elperin N Kleeorin I Rogachevskii S Zilitinkevich 2002 Formation of large-scale semi-organized structures in turbulent convection Phys Rev E 66 066305-1 066305-15
16. T Elperin N Kleeorin I Rogachevskii S Zilitinkevich 2006 Turbulence and coherent structures in geophysical convection Boundary-layer Meteorol 119 449 472 10.1007/s10546-005-9041-5 (Pubitemid 44227689)
17. I Esau 2004 Simulation of Ekman boundary layers by large eddy model with dynamic mixed sub-filter closure Environ Fluid Mech 4 273 303 10.1023/B:EFMC.0000024236.38450.8d (Pubitemid 39130847)
18. JJ Finnigan 1988 Kinetic energy transfer between internal gravity waves and turbulence J Atmos Sci 45 486 505 10.1175/1520-0469(1988)045<0486: KETBIG>2.0.CO;2
19. JJ Finnigan 1999 A note on wave-turbulence interaction and the possibility of scaling the very stable boundary layer Boundary-Layer Meteorol 90 529 539 10.1023/A:1001756912935 (Pubitemid 29440295)
20. JJ Finnigan F Einaudi 1981 The interaction between an internal gravity wave and the planetary boundary layer. Part II: effect of the wave on the turbulence structure Q J Roy Meteorol Soc 107 807 832 10.1256/smsqj.45404
21. JJ Finnigan F Einaudi D Fua 1984 The interaction between an internal gravity wave and turbulence in the stably-stratified nocturnal boundary layer J Atmos Sci 41 2409 2436 10.1175/1520-0469(1984)041<2409:TIBAIG>2.0.CO;2
22. NP Fofonoff 1969 Spectral characteristics of internal waves in the ocean Deep-Sea Res 16 58 71
23. T Foken 2006 50 years of the Monin-Obukhov similarity theory Boundary-Layer Meteorol 119 431 447 10.1007/s10546-006-9048-6 (Pubitemid 44227688)
24. DC Fritts MJ Alexander 2003 Gravity wave dynamics and effects in the middle atmosphere Rev Geophys 41 1 1003 10.1029/2001RG000106
25. C Garrett W Munk 1979 Internal waves in the ocean Annu Rev Fluid Mech 11 339 369 10.1146/annurev.fl.11.010179.002011
26. Gossard EE, Hooke WH (1975) Waves in the atmosphere. Elsevier, New York, p 456
27. FG Jacobitz MM Rogers JH Ferziger 2005 Waves in stably stratified turbulent flow J Turbul 6 1 12 10.1080/14685240500462069 (Pubitemid 43103510)
28. LH Jin RMC So TB Gatski 2003 Equilibrium states of turbulent homogeneous buoyant flows J Fluid Mech 482 207 233 10.1017/S002211200300404X (Pubitemid 36659081)
29. Kaimal JC, Fennigan JJ (1994) Atmospheric boundary layer flows. Oxford University Press, New York, p 289
30. AN Kolmogorov 1941 Energy dissipation in locally isotropic turbulence Doklady AN SSSR 32 1 19 21
31. J Kondo O Kanechika N Yasuda 1978 Heat and momentum transfer under strong stability in the atmospheric surface layer J Atmos Sci 35 1012 1021 10.1175/1520-0469(1978)035<1012:HAMTUS>2.0.CO;2
32. Kurbatsky AF (2000) Lectures on turbulence. Novosibirsk State University Press, Novosibirsk, p 118
33. VS L'vov O Rudenko 2008 Equations of motion and conservation laws in a theory of stably stratified turbulence Phys Scr T132 014009-1 014009-5
34. VS L'vov A Pomyalov I Procaccia SS Zilitinkevich 2006 Phenomenology of wall bounded Newtonian turbulence Phys Rev E73 016303-1 016303-13
35. VS L'vov I Procaccia O Rudenko 2008 Turbulent fluxes in stably stratified boundary layers Phys Scr T132 014010-1 014010-15
36. L Mahrt D Vickers 2005 Boundary layer adjustment over small-scale changes of surface heat flux Boundary-Layer Meteorol 116 313 330 10.1007/s10546-004- 1669-z (Pubitemid 41444529)
37. T Mauritsen G Svensson 2007 Observations of stably stratified shear-driven atmospheric turbulence at low and high Richardson numbers J Atmos Sci 64 645 655 10.1175/JAS3856.1 (Pubitemid 46351635)
38. T Mauritsen G Svensson SS Zilitinkevich I Esau L Enger B Grisogono 2007 A total turbulent energy closure model for neutrally and stably stratified atmospheric boundary layers J Atmos Sci 64 4117 4130
39. Miropolsky YZ (1981) Dynamics of internal gravity waves in the ocean. Gidrometeoizdat, Leningrad, 302 pp (translation in English published in 2006)
40. RG Moser J Kim NN Mansour 1999 Direct numerical simulation of turbulent channel flow up to Re = 590 Phys Fluids 11 943 945 10.1063/1.869966
41. Nappo CJ (2002) An introduction to atmospheric gravity waves. Academic Press, London, p 276
42. Y Ohya 2001 Wind-tunnel study of atmospheric stable boundary layers over a rough surface Boundary-Layer Meteorol 98 57 82 10.1023/A:1018767829067
43. H Pochapsky 1972 Internal waves and turbulence in the deep ocean J Phys Oceanogr 2 96 103 10.1175/1520-0485(1972)002<0096:IWATIT>2.0.CO;2
44. K Polzin 2004 A heuristic description of internal wave dynamics J Phys Oceanogr 34 214 230 10.1175/1520-0485(2004)034<0214:AHDOIW>2.0.CO;2
45. K Polzin 2004 Idealized solutions for the energy balance of the fine scale internal wave field J Phys Oceanogr 34 231 246 10.1175/1520-0485(2004) 034<0231:ISFTEB>2.0.CO;2
46. GS Poulos W Blumen DC Fritts JK Lundquist J Sun SP Burns C Nappo R Banta R Newsom J Cuxart E Terradellas B Balsley M Jensen 2002 CASES-99: a comprehensive investigation of the stable nocturnal boundary layer Bull Am Meteorol Soc 83 555 581 10.1175/1520-0477(2002)083<0555:CACIOT>2.3.CO;2
47. CR Rehmann JR Koseff 2004 Mean potential energy change in stratified grid turbulence Dyn Atmos Oceans 37 271 294 10.1016/j.dynatmoce.2003.09.001 (Pubitemid 38502585)
48. JC Rotta 1951 Statistische theorie nichthomogener turbulenz Z Phys 129 547 572 10.1007/BF01330059
49. C Staquet J Sommeria 2002 Internal gravity waves: from instabilities to turbulence Annu Rev Fluid Mech 34 559 593 10.1146/annurev.fluid.34.090601.130953 (Pubitemid 35372034)
50. EJ Strang HJS Fernando 2001 Vertical mixing and transports through a stratified shear layer J Phys Oceanogr 31 2026 2048 10.1175/1520-0485(2001) 031<2026:VMATTA>2.0.CO;2
51. Stretch DD, Rottman JW, Nomura KK, Venayagamoorthy SK (2001) Transient mixing events in stably stratified turbulence. In: 14th Australasian fluid mechanics conference, Adelaide, Australia, 10-14 December
52. SA Thorpe 2004 Recent developments in the study of ocean turbulence Annu Rev Earth Planet Sci 32 91 109 10.1146/annurev.earth.32.071603.152635 (Pubitemid 38836367)
53. Turner JS (1973) Buoyancy effects in fluids. Cambridge University Press, Cambridge, p 431
54. L Umlauf H Burchard 2005 Second-order turbulence closure models for geophysical boundary layers. A review of recent work Cont Shelf Res 25 725 827 10.1016/j.csr.2004.08.004 (Pubitemid 40406146)
55. T Uttal JA Curry MG McPhee DK Perovich, et al. 2002 Surface heat budget of the Arctic Ocean Bull Am Meteorol Soc 83 255 276 10.1175/1520-0477(2002) 083<0255:SHBOTA>2.3.CO;2
56. S Weinberg 1962 Eikonal method in magnetohydrodynamics Phys Rev 126 1899 1909 10.1103/PhysRev.126.1899
57. MG Wurtele RD Sharman A Datta 1996 Atmospheric lee waves Annu Rev Fluid Mech 28 429 476 10.1146/annurev.fl.28.010196.002241
58. S Zilitinkevich 2002 Third-order transport due to internal waves and non-local turbulence in the stably stratified surface layer Q J Roy Meteorol Soc 128 913 925 10.1256/0035900021643746 (Pubitemid 34497466)
59. S Zilitinkevich I Esau 2007 Similarity theory and calculation of turbulent fluxes at the surface for the stably stratified atmospheric boundary layers Boundary-Layer Meteorol 125 193 296 10.1007/s10546-007-9187-4 (Pubitemid 47505716)
60. SS Zilitinkevich T Elperin N Kleeorin I Rogachevskii 2007 Energy- and flux budget (EFB) turbulence closure model for stably stratified flows. Part I: steady-state, homogeneous regimes Boundary-Layer Meteorol 125 167 192 10.1007/s10546-007-9189-2 (Pubitemid 47505715)
61. SS Zilitinkevich T Elperin N Kleeorin I Rogachevskii I Esau T Mauritsen M Miles 2008 Turbulence energetics in stably stratified geophysical flows: strong and weak mixing regimes Q J Roy Meteorol Soc 134 793 799 10.1002/qj.264