Horizontal cascade structure of atmospheric fields determined from aircraft data

Journal of Geophysical Research Atmospheres

Volumn 115, Issue 13, 2010, Pages

  Lovejoy, S ^a   Tuck, A F ^b   Schertzer, D ^c,d  

^a MCGILL UNIVERSITY   (Canada)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c UNIVERSITÉ GUSTAVE EIFFEL   (France)

^d MÉTÉO FRANCE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AIRCRAFT; ANISOTROPY; ATMOSPHERIC HUMIDITY; ATMOSPHERIC STRUCTURE; STORMS; THREE DIMENSIONAL; TURBULENCE;

AIRCRAFT DATA; AIRCRAFT MEASUREMENT; AIRCRAFT TRAJECTORY; ATMOSPHERIC FIELDS; CASCADE STRUCTURES; HORIZONTAL SCALING; HORIZONTAL WINDS; INTERMITTENCY; MULTIPLICATIVE CASCADES; POWER-SPECTRA; SCALE EFFECTS; SCALING EXPONENT; SCALING MODEL; SMALL SCALE; STATISTICAL BEHAVIOR; STATISTICAL PROPERTIES; TURBULENT FLUX; WAVE NUMBERS; WINTER STORMS;

INTERPLANETARY SPACECRAFT;

AIR TEMPERATURE; AIRBORNE SURVEY; ANISOTROPY; ATMOSPHERIC MODELING; ATMOSPHERIC PRESSURE; HUMIDITY; THREE-DIMENSIONAL MODELING; TURBULENCE; TWO-DIMENSIONAL MODELING; WIND DIRECTION; WIND FIELD;

EID: 77956013200     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2009JD013353     Document Type: Article

References (53)

1. Bacmeister, J. T., et al. (1996), Stratospheric horizontal wavenumber spectra of winds, potential temperature, and atmospheric tracers observed by high-altitude aircraft, J. Geophys. Res., 101, 9441-9470, doi:10.1029/95JD03835.
2. Bartello, P. (1995), Geostrophic adjustment and inverse cascades in rotating stratified turbulence, J. Atmos. Sci., 52, 4410-4428, doi:10.1175/1520-0469(1995)052<4410:GAAICI>2.0.CO;2.
3. Boer, G. J., and T. G. Shepherd (1983), Large-scale two-dimensional turbulence in the atmosphere, J. Atmos. Sci., 40, 164-184, doi:10.1175/1520- 0469(1983)040<0164:LSTDTI>2.0.CO;2.
4. Bolgiano, R., Jr. (1959), Turbulent spectra in a stably stratified atmosphere, J. Geophys. Res., 64, 2226-2229, doi:10.1029/JZ064i012p02226.
5. Charney, J. G. (1971), Geostrophic turbulence, J. Atmos. Sci., 28, 1087, doi:10.1175/1520-0469(1971)028<1087:GT>2.0.CO;2.
6. Chen, T.-C., and A. Wiin-Nielsen (1978), On non-linear cascades of atmospheric energy and enstrophy in a two-dimensional spectral index, Tellus, 30, 313-322, doi:10.1111/j.2153-3490.1978.tb00846.x.
7. Chigirinskaya, Y., et al. (1994), Unified multifractal atmospheric dynamics tested in the tropics Part 1: Horizontal scaling and self organized critical-ity, Nonlinear Processes Geophys., 1, 105-114.
8. Cho, J., and E. Lindborg (2001), Horizontal velocity structure functions in the upper troposphere and lower stratosphere. 1. Observations, J. Geophys. Res., 106, 10,223-10,232, doi:10.1029/2000JD900814.
9. Dewan, E. (1997), Saturated-cascade similitude theory of gravity wave spectra, J. Geophys. Res., 102, 29,799-29,817, doi:10.1029/97JD02151.
10. Gagnon, J. S., et al. (2006), Multifractal earth topography, Nonlinear Processes Geophys., 13, 541-570.
11. Gao, X., and J. W. Meriwether (1998), Mesoscale spectral analysis of in situ horizontal and vertical wind measurements at 6 km, J. Geophys. Res., 103, 6397-6404, doi:10.1029/97JD03074.
12. Gardner, C. (1994), Diffusive filtering theory of gravity wave spectra in the atmosphere, J. Geophys. Res., 99, 20,601-20,622, doi:10.1029/94JD00819.
13. Gardner, C. S., et al. (1993), Gravity wave models for the horizontal wave number spectra of atmospheric velocity and density fluctuations, J. Geophys. Res., 98, 1035-1049, doi:10.1029/92JD02051.
14. Hamilton, K., Y. O. Takahashi, and W. Ohfuchi (2008), Mesoscale spectrum of atmospheric motions investigated in a very fine resolution global general circulation model, J. Geophys. Res., 113, D18110, doi:10.1029/2008JD009785.
15. Högström, U., et al. (1999), A case study of two-dimensional stratified turbulence, J. Atmos. Sci. 56, 959-976, doi:10.1175/1520-0469(1999) 056<0959:ACSOTD>2.0.CO;2.
16. Koch, S. E., et al. (2005), Turbulence and gravity waves within an upper-level front, J. Atmos. Sci., 62, 3885-3908, doi:10.1175/JAS3574.1.
17. Kraichnan, R. H. (1967), Inertial ranges in two-dimensional turbulence, Phys. Fluids, 10, 1417-1423, doi:10.1063/1.1762301.
18. Landahl, M. T., and E. Mollo-Christensen (1986), Turbulence and Random Processes in Fluid Mechanics, 154 pp., Cambridge Univ. Press, Cambridge, U. K.
19. Lilley, M., et al. (2004), 23/9 dimensional anisotropic scaling of passive admixtures using lidar aerosol data, Phys. Rev. E, 70, 036307, doi:10.1103/PhysRevE.70.036307.
20. Lilley, M., et al. (2008), Scaling turbulent atmospheric stratification, Part II: Empirical study of the stratification of the intermittency, Q. J. R. Meteorol. Soc., 134, 301-315, doi:10.1002/qj.1202.
21. Lilly, D. K. (1989), Two-dimensional turbulence generated by energy sources at two scales, J. Atmos. Sci., 46, 2026-2030, doi:10.1175/1520- 0469(1989)046<2026:TDTGBE>2.0.CO;2.
22. Lovejoy, S., and D. Schertzer (2010), Towards a new synthesis for atmospheric dynamics: Space-time cascades, Atmos. Res., 96, 1-52, doi:10.1016/j.atmosres.2010.01.004.
23. Lovejoy, S., D. Schertzer, and J. D. Stanway (2001), Direct evidence of planetary scale atmospheric cascade dynamics, Phys. Rev. Lett., 86(22), 5200-5203, doi:10.1103/PhysRevLett.86.5200.
24. Lovejoy, S., et al. (2004), Fractal aircraft trajectories and nonclassical turbulent exponents, Phys. Rev. E, 70, 036306, doi:10.1103/ PhysRevE.70.036306.
25. Lovejoy, S., A. F. Tuck, S. J. Hovde, and D. Schertzer (2007), Is isotropic turbulence relevant in the atmosphere?, Geophys. Res. Lett., 34, L15802, doi:10.1029/2007GL029359.
26. Lovejoy, S., et al. (2008a), The remarkable wide range scaling of TRMM precipitation, Atmos. Res., 90, 10-32, doi:10.1016/j.atmosres.2008.02.016.
27. Lovejoy, S., et al. (2008b), Scaling turbulent atmospheric stratification. I: Turbulence and waves, Q. J. R. Meteorol. Soc., 134, 277-300, doi:10.1002/qj.1201.
28. Lovejoy, S., D. Schertzer, V. Allaire, T. Bourgeois, S. King, J. Pinel, and J. Stolle (2009a), Atmospheric complexity or scale by scale simplicity?, Geophys. Res. Lett., 36, L01801, doi:10.1029/2008GL035863.
29. Lovejoy, S., A. F. Tuck, S. J. Hovde, and D. Schertzer (2009b), Vertical cascade structure of the atmosphere and multifractal dropsonde outages, J. Geophys. Res., 114, D07111, doi:10.1029/2008JD010651.
30. Lovejoy, S., et al. (2009c), Reinterpreting aircraft measurements in anisotropic scaling turbulence, Atmos. Chem. Phys. Discuss., 9, 3871-3920.
31. Mandelbrot, B. B. (1974), Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier, J. Fluid Mech., 62, 331-350, doi:10.1017/S0022112074000711.
32. Monin, A. S., and A. M. Yaglom (1975), Statistical Fluid Mechanics, MIT Press, Cambridge, Mass.
33. Nastrom, G. D., and K. S. Gage (1985), A climatology of atmospheric wavenumber spectra of wind and temperature by commercial aircraft, J. Atmos. Sci., 42, 950-960, doi:10.1175/1520-0469(1985)042<0950:ACOAWS>2.0.CO;2.
34. Ngan, K., et al. (2004), Three-dimensionalization of freely decaying two-dimensional flows, Phys. Fluids, 16, 2918-2932, doi:10.1063/1.1763191.
35. Novikov, E. A., and R. Stewart (1964), Intermittency of turbulence and spectrum of fluctuations in energy-dissipation, Izv. Akad. Nauk. Ser. Fiz., 3, 408-412.
36. Obukhov, A. (1959), Effect of Archimedean forces on the structure of the temperature field in a turbulent flow, Dokl. Akad. Nauk SSSR, 125, 1246-1248.
37. Palmer, T. (2001), A nonlinear dynamical perspective on model error: A proposal for non-local stochastic-dynamic parameterisation in weather and climate prediction models, Q. J. R. Meteorol. Soc., 127, 279-304.
38. Schertzer, D., and S. Lovejoy (1985), The dimension and intermittency of atmospheric dynamics, in Turbulent Shear Flow 4, edited by B. Launder, pp. 7-33, Springer, New York.
39. Schertzer, D., and S. Lovejoy (1987), Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative processes, J. Geophys. Res., 92, 9693-9714, doi:10.1029/JD092iD08p09693.
40. Schertzer, D., and S. Lovejoy (1997), Universal multifractals do exist!: Comments on "A statistical analysis of mesoscale rainfall as a random cascade," J. Appl. Meteorol, 36, 1296-1303, doi:10.1175/1520-0450(1997) 036<1296:UMDECO>2.0.CO;2.
41. Schertzer, D., et al. (1993), Generic multifractal phase transitions and self-organized criticality, in Cellular Automata: Prospects in Astrophysical Applications, edited by J. M. Perdang and A. Lejeune, pp. 216-227, World Sci., River Edge, N. J.
42. Skamarock, W. C. (2004), Evaluating mesoscale NWP models using kinetic energy spectra, Mon. Weather Rev., 132, 3019-3032, doi:10.1175/MWR2830.1.
43. Smith, K. S. (2004), Comment on: "The k-3 and k -5/3 energy spectrum of atmospheric turbulence: Quasigeostrophic two-level model simulation," J. Atmos. Sci., 61, 937-941.
44. Stolle, J. (2009), Space-time Cascade structure of numerical models of the atmosphere, M.Sc. thesis, McGill Univ., Montreal, Que., Canada.
45. Stolle, J., et al. (2009), The stochastic cascade structure of deterministic numerical models of the atmosphere, Nonlinear Process. Geophys., 16, 1-15.
46. Strauss, D. M., and P. Ditlevsen (1999), Two-dimensional turbulence properties of the ECMWF reanalyses, Tellus, Ser. A, 51, 749-772.
47. Szépfalusy, P., et al. (1987), Phase transitions associated with dynamical properties of chaotic systems, Phys. Rev. A, 36, 3525, doi:10.1103/PhysRevA.36.3525.
48. Takahashi, Y. O., K. Hamilton, and W. Ohfuchi (2006), Explicit global simulation of the mesoscale spectrum of atmospheric motions, Geophys. Res. Lett., 33, L12812, doi:10.1029/2006GL026429.
49. Trenberth, K. E., and A. Solomon (1993), Implications of global atmospheric spatial spectra for processing and displaying data, J. Clim., 6, 531-545, doi:10.1175/1520-0442(1993)006<0531:IOGASS>2.0.CO;2.
50. Tuck, A. F. (2008), Atmospheric Turbulence: A Molecular Dynamics Perspective, Oxford Univ. Press, New York.
51. Tuck, A. F., et al. (2004), Scale Invariance in jet streams: ER-2 data around the lower-stratospheric polar night vortex, Q. J. R. Meteorol. Soc., 130, 2423-2444, doi:10.1256/qj.03.191.
52. VanZandt, T. E. (1982), A universal spectrum of buoyancy waves in the atmosphere, Geophys. Res. Lett., 9, 575-578, doi:10.1029/GL009i005p00575.
53. Yaglom, A. M. (1966), The influence on the fluctuation in energy dissipation on the shape of turbulent characteristics in the inertial interval, Sov. Phys. Dokl., Engl. Transl., 2, 26-30.