Scale-by-scale budget and similarity laws for shear turbulence

Journal of Fluid Mechanics

Volumn 476, Issue , 2003, Pages 105-114

  Casciola, C M ^a   Gualtieri, P ^a   Benzi, R ^b   Piva, R ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY LAYERS; ENERGY DISSIPATION; SHEAR FLOW; STATISTICAL METHODS;

ISOTROPIC CONDITIONS;

TURBULENT FLOW;

INTERMITTENT FLOW; SHEAR FLOW; TURBULENCE;

EID: 0037428927     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112002003142     Document Type: Article

References (30)

1. ANTONIA, R. A., ZHOU, T. & ROMANO, G. P. 2002 Small scale turbulence characteristics of two dimensional fluff body wakes. J. Fluid Mech. 459, 67-92.
2. ARAD, I., BIFERALE, L., MAZZITELLI, I. & PROCACCIA, I. 1999 Disentangling scaling properties in anisotropic and inhomogeneous turbulence. Phys. Rev. Lett. 82, 5040-5043.
3. BENZI, R., CILIBERTO, S., BAUDET, C. & RUIZ CHAVARRIA, G. 1995 On the scaling of three dimensional homogeneous and isotropic turbulence. Physica D 80, 385-398.
4. BENZI, R., BIFERALE, L., CILIBERTO, S., STRUGLIA, M. V. & TRIPICCIONE, R. 1996 Generalized scaling in fully developed turbulence. Physica D 96, 162-181.
5. BENZI, R., AMATI, G., CASCIOLA, C. M., TOSCHI, F. & PIVA, R. 1999 Intermittency and scaling laws for wall bounded turbulence. Phys. Fluids 11, 1-3.
6. BIFERALE, L. & VERGASSOLA, M. 2001 Isotropy vs. anisotropy in small-scale turbulence. Phys. Fluids 13, 2139-2141.
7. CASCIOLA, C. M., BENZI, R., GUALTIERI, P., JACOB, B. & PIVA, R. 2002 Double scaling in shear dominated flow. Phys. Rev. E 65, Art. no. 015301.
8. 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.
9. FRISCH, U. 1995 Turbulence. Cambridge University Press.
10. GUALTIERI, P., CASCIOLA, C. M., BENZI, R., AMATI, G. & PIVA, R. 2002a Scaling laws and intermittency in homogeneous shear flow. Phys. Fluids 14, 583-596.
11. GUALTIERI, P., CASCIOLA, C. M., BENZI, R. & PIVA, R. 2002b Scale by scale budget and similarity laws for homogeneous shear flow. In Advances in Turbulence IX (ed. I. P. Castro, P. E. Hancock & T. G. Thomas), pp. 311-314. CIMNE, Barcelona.
12. HILL, R. J. 2001 Equations relating structure functions of all orders. J. Fluid Mech. 343, 379-388.
13. HILL, R. J. 2002 The approach of turbulence to the locally homogeneous asymptote as studied using exact structure-function equations. J. Fluid Mech. (submitted).
14. HINZE, O. J. 1959 Turbulence. McGraw-Hill.
15. JACOB, B., OLIVIERI, A. & CASCIOLA, C. M. 2002 Experimental assessment of a new form of scaling law for near wall turbulence. Phys. Fluids 14, 481-491.
16. KOLMOGOROV, A. N. 1962 A refinement of previous hypotheses concerning the local structure of turbulence in incompressible viscous fluid for very large Reynolds number. J. Fluid Mech. 13, 82-85.
17. KURIEN, S. & SREENIVASAN, K. R. 2001 Measures of anisotropy and the universal properties of turbulence, New Trends in Turbulence. NATO Advanced Study Institute, Les Houches, pp. 53-111. Springer.
18. 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.
19. NIE, Q. & TANVEER, S. 1999 A note on third-order structure functions in turbulence. Proc. R. Soc. Lond. A 455, 1615-1635.
20. OBERLACK, M. 2001 A unified approach for symmetries in plane parallel turbulent shear flows J. Fluid Mech. 427, 299-328.
21. PUMIR, A. 1996 Turbulence in homogeneous shear flow. Phys. Fluids 8, 3112-3127.
22. RUIZ CHAVARRIA, G., CILIBERTO, S., BAUDET, C. & LEVEQUE, E. 2000 Scaling properties of the streamwise component of velocity in a turbulent boundary layer. Physica D 141, 183-198.
23. SCHUMACHER, J., SREENIVASAN, K. R. & YEUNG, P. K. 2003 Derivative moments in turbulent shear flows. Phys. Fluids (to appear).
24. SHEN, X. & WARHAFT, Z. 2002 Longitudinal and transverse structure functions in sheared and unsheared wind tunnel turbulence. Phys. Fluids 14, 370-381.
25. SREENIVASAN, K. R. & ANTONIA, R. A. 1997 The phenomenology of small scale turbulence. Annu. Rev. Fluid Mech. 29, 435-472.
26. TOSCHI, F., AMATI, G., SUCCI, S., BENZI, R. & PIVA, R. 1999 Intermittency and structure functions in channel flow turbulence. Phys. Rev. Lett. 82, 5044-5049.
27. TOSCHI, F., LEVEQUE, E. & RUIZ-CHAVARRIA, G. 2000 Shear effects in nonhomogeneous turbulence. Phys. Rev. Lett. 85, 1436-1439.
28. TOWNSEND, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
29. WANG, L. P., CHEN, S., BRASSEUR, J. G. & WYNGARD, J. C. 1996 Examination of hypotheses in the Kolmogorov refined turbulence theory through high resolution simulations. Part I. Velocity field. J. Fluid Mech. 309, 113-156.
30. ZHOU, T. & ANTONIA, R. A. 2000 Reynolds number dependence of small scale structure of grid turbulence. J. Fluid Mech. 406, 81-107.