Anisotropy, inhomogeneity and inertial-range scalings in turbulent convection

Journal of Fluid Mechanics

Volumn 563, Issue , 2006, Pages 43-69

  Rincon, François ^a  

^a OBSERVATOIRE MIDI PYRÉNÉES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BUOYANCY; COMPUTER SIMULATION; CORRELATION METHODS; ESTIMATION; HEAT CONVECTION; STATISTICS;

BOUSSINESQ CONVECTION; RAYLEIGH-BENARD CONVECTION; TURBULENT CONVECTION;

TURBULENT FLOW;

ANISOTROPY; BUOYANCY; COMPUTER SIMULATION; CORRELATION METHODS; ESTIMATION; HEAT CONVECTION; STATISTICS; TURBULENT FLOW;

BOUSSINESQ EQUATION; FLUID FLOW; RAYLEIGH NUMBER; SIMULATION; THERMAL CONVECTION; TURBULENT FLOW;

EID: 33748294118     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006000917     Document Type: Article

References (45)

1. Antonia, R. & Van Atta, C. 1978 Structure functions of temperature fluctuations in turbulent shear flows. J. Fluid Mech. 84, 561-580.
2. Antonia, R. A., Ould-Rouis, M., Anselmet, F. & Zhu, Y. 1997 Analogy between predictions of Kolmogorov and Yaglom. J. Fluid Mech. 332, 395-409.
3. Arad, I., Biferale, L., Mazzitelli, I. & Procaccia, I. 1999a Disentangling scaling properties in anisotropic and inhomogeneous turbulence. Phys. Rev. Lett. 82, 5040-5043.
4. Arad, I., L'vov, V. & Procaccia, I. 1999b Correlation functions in isotropic and anisotropic turbulence: The role of the symmetry group. Phys. Rev. E 59, 6753-6765.
5. Benzi, R., Ciliberto, S., Tripiccione, R., Baudet, C., Massaioli, F. & Succi, S. 1993 Extended self-similarity in turbulent flows. Phys. Rev. E 48, 29.
6. Benzi, R., Tripiccione, R., Massaioli, F., Succi, S. & Ciliberto, S. 1994 On the scaling of the velocity and temperature structure functions in Rayleigh-Bénard convection. Europhys. Lett. 25, 341-346.
7. Benzi, R., Toschi, F. & Tripiccione, R. 1998 On the heat transfer in Rayleigh-Bénard systems. J. Stat. Phys. 93.
8. Biferale, L. & Procaccia, I. 2005 Anisotropy in turbulent flows and in turbulent transport. Phys. Rep. 414, 43.
9. Biferale, L., Gualtieri, P. & Toschi, F. 2000 Statistics of pressure and of pressure-velocity correlations in isotropic turbulence. Phys. Fluids 12, 1836.
10. Biferale, L., Calzavarini, E., Toschi, F. & Tripiccione, R. 2003 Universality of anisotropic fluctuations from numerical simulations of turbulent flows. Europhys. Lett. 64, 461-467.
11. Bolgiano, R. 1959 Structure of turbulence in stratified media. J. Geophys. Res. 64, 2226.
12. Califano, F. 1996 A numerical algorithm for geophysical and astrophysical inhomogeneous fluid flows. Comput. Phys. Comm. 99, 29.
13. Calzavarini, E., Toschi, F. & Tripiccione, R. 2002 Evidences of Bolgiano scaling in 3D Rayleigh-Bénard convection. Phys. Rev. E 66, 016304.
14. Calzavarini, E., Lohse, D., Toschi, F. & Tripiccione, R. 2005 Rayleigh and Prandtl number scaling in the bulk of Rayleigh-Bénard turbulence. Phys. Fluids 17, 055107.
15. Casciola, C. M., Gualtieri, P., Benzi, R. & Piva, R. 2003 Scale-by-scale budget and similarity laws for shear turbulence. J. Fluid Mech. 476, 105-114.
16. Cattaneo, F., Brummell, N. H., Toomre, J., Malagoli, A. & Hurlburt, N. E. 1991 Turbulent compressible convection. Astrophys. J. 370, 282-294.
17. Cattaneo, F., Lenz, D. & Weiss, N. 2001 On the origin of the solar mesogranulation. Astrophys. J. 563, L91-L94.
18. Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Dover.
19. Chillá, F., Ciliberto, S., Innocenti, C. & Pampaloni, E. 1993 Boundary layer and scaling properties in turbulent thermal convection. Nuovo Cimento 15D, 1229.
20. Ching, E. S. C., Chui, K. W., Shang, X.-D., Qiu, X.-L., Tong, P. & Xia, K.-Q. 2004 Velocity and temperature cross-scaling in turbulent thermal convection. J. Turb. 5.
21. Danaila, L., Anselmet, F., Zhou, T. & Antonia, R. A. 1999 A generalization of Yaglom's equation which accounts for the large-scale forcing in heated decaying turbulence. 391, 359-372.
22. Danaila, L., Anselmet, F., Zhou, T. & Antonia, R. A. 2001 Turbulent energy scale budget equations in a fully developed channel flow. J. Fluid Mech. 430, 87-109.
23. Demuren, A. O., Wilson, R. V. & Carpenter, M. 2001 Higher-order compact schemes for numerical simulation of incompressible flows. Part I: theoretical development. Numer. Heat Transfer 39, 207-230.
24. Grossmann, S. & Lohse, D. 1993 Characteristic scales in Rayleigh-Bénard turbulence. Phys. Lett. A 173, 58.
25. Grossmann, S. & Lohse, D. 2000 Scaling in thermal convection: A unifying theory. J. Fluid Mech. 407, 27.
26. Grossmann, S. & L'vov, V. 1993 Crossover of spectral scaling in thermal turbulence. Phys. Rev. E 47, 4161.
27. Hartlep, T., Tilgner, A. & Busse, F. H. 2003 Large scale structures in Rayleigh-Bénard convection at high Rayleigh numbers. Phys. Rev. Lett. 91, 064501.
28. Heslot, F., Castaing, B. & Libchaber, A. 1987 Transitions to turbulence in helium gas. Phys. Rev. A 36, 5870-5873.
29. Hill, R. J. 1997 Applicability of Kolmogorov's and Monin's equations of turbulence. J. Fluid Mech. 353, 67-81.
30. Hill, R. J. 2002 The approach of turbulence to the locally homogeneous asymptote as studied using exact structure-function equations. arXiv:pHysics/0206034.
31. Kolmogorov, A. N. 1941 Dissipation of energy in locally isotropic turbulence. Dokl. Akad. Nauk SSSR 32, 16.
32. Lele, S. K. 1992 Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16-42.
33. Lindborg, E. 1996 A note on Kolmogorov's third-order structure-function law, the local isotropy hypothesis and the pressure-velocity correlation. J. Fluid Mech. 326, 343-356.
34. L'vov, V. S. 1991 Spectra of velocity and temperature fluctuations with constant entropy flux of fully developed free-convectioe turbulence. Phys. Rev. Lett. 67, 687-690.
35. Mestayer, P., Gibson, C. H., Coantic, M. & Patel, A. 1976 Local anisotropy in heated and cooled turbulent boundary layers. Phys. Fluids 19, 1279-1287.
36. Monin, A. S. & Yaglom, A. M. 1975 Statistical Fluid Mechanics, vol. 2. MIT Press.
37. Obukhov, A. M. 1959 Dokl. Akad. Nauk. SSR 125, 1246.
38. Parodi, A., von Hardenberg, J., Passoni, G., Provenzale, A. & Spiegel, E. A. 2004 Clustering of plumes in turbulent convection. Phys. Rev. Lett. 92, 194503.
39. Procaccia, I. & Zeitak, R. 1989 Scaling exponents in nonisotropic convective turbulence. Phys. Rev. Lett. 62, 2128.
40. van Reeuwijk, M., Jonker, H. J. J. & Hanjalic, K. 2005 Identification of the wind in Rayleigh-Bénard convection. Phys. Fluids 17, 051704.
41. Rincon, F., Lignières, F. & Rieutord, M. 2005 Mesoscale flows in large aspect ratio simulations of turbulent compressible convection. Astron. Astrophys. 430, L57-L60.
42. Toomre, J., Brummell, N., Cattaneo, F. & Hurlburt, N. E. 1990 Three-dimensional compressible convection at low Prandtl numbers. Comput. Phys. Commun. 59, 105-117.
43. Verzicco, R. & Camussi, R. 2003 Numerical experiments on strongly turbulent thermal convection in a slender cylindrical cell. J. Fluid Mech. 477, 19-49.
44. Warhaft, Z. 2000 Passive scalars in turbulent flows. Annu. Rev. Fluid Mech. 32, 203-240.
45. Yakhot, V. 1992 4/5 Kolmogorov law for statistically stationary turbulence: Application to high-Rayleigh-number Bénard convection. Phys. Rev. Lett. 69, 769.