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The State of the Art in Hydrodynamic Turbulence: Past Successes and Future Challenges
Itamar Procaccia, K. R. Sreenivasan
We present a personal view of the state of the art in turbulence research. We summarize first the main achievements in the recent past, and then point ahead to the main challenges…
Asymptotic Exponents from Low-Reynolds-Number Flows
Joerg Schumacher, Katepalli R. Sreenivasan, Victor Yakhot
The high-order statistics of fluctuations in velocity gradients in the crossover range from the inertial to the Kolmogorov and sub-Kolmogorov scales are studied by direct numerical…
Statistics and geometry of passive scalars in turbulence
Joerg Schumacher, Katepalli R. Sreenivasan
We present direct numerical simulations (DNS) of the mixing of the passive scalar at modest Reynolds numbers (10 =< R_λ=< 42) and Schmidt numbers larger than unity (2 =< Sc =< 32).…
Fluctuations of temperature gradients in turbulent thermal convection
K. R. Sreenivasan, A. Bershadskii, J. J. Niemela
Broad theoretical arguments are proposed to show, formally, that the magnitude G of the temperature gradients in turbulent thermal convection at high Rayleigh numbers obeys the sam…
Logarithmically modified scaling of temperature structure functions in thermal convection
A. Bershadskii, K. R. Sreenivasan, J. J. Niemela
Using experimental data on thermal convection, obtained at a Rayleigh number of 1.5 , it is shown that the temperature structure functions , where $ΔT_r…
Towards a dynamical theory of multifractals in turbulence
Victor Yakhot, K. R. Sreenivasan
Making use of the exact equations for structure functions, supplemented by the equations for dissipa tive anomaly as well as an estimate for the Lagrangian acceleration of fluid pa…
Sign-symmetry of temperature structure functions
Konstantinos G. Aivalis, Susan Kurien, Joerg Schumacher +1
New scalar structure functions with different sign-symmetry properties are defined. These structure functions possess different scaling exponents even when their order is the same.…
Multiscale SOC in turbulent convection
K. R. Sreenivasan, A. Bershadskii, J. J. Niemela
Using data obtained in a laboratory thermal convection experiment at high Rayleigh numbers, it is shown that the multiscaling properties of the observed mean wind reversals are qua…
Intermittency and the passive nature of the magnitude of the magnetic field
A. Bershadskii, K. R. Sreenivasan
It is shown that the statistical properties of the magnitude of the magnetic field in turbulent electrically conducting media resemble, in the inertial range, those of passive scal…
"Clusterization" and intermittency of temperature fluctuations in turbulent convection
A. Bershadskii, J. J. Niemela, A. Praskovsky +1
Temperature time traces are obtained in turbulent thermal convection at high Rayleigh numbers. Measurements are made in the midplane of the apparatus, near the sidewall but outside…
Geometric features of the mixing of passive scalars at high Schmidt numbers
Joerg Schumacher, Katepalli R. Sreenivasan
The mixing of passive scalars of decreasing diffusivity, advected in each case by the same three-dimensional Navier-Stokes turbulence, is studied. The mixing becomes more isotropic…
Schmidt number dependence of derivative moments for quasistatic straining motion
J. Schumacher, K. R. Sreenivasan, P. K. Yeung
Bounds on high-order derivative moments of a passive scalar are obtained for large values of the Schmidt number, . The procedure is based on the approach pioneered by Batchelor…
Derivative moments in turbulent shear flows
J. Schumacher, K. R. Sreenivasan, P. K. Yeung
We propose a generalized perspective on the behavior of high-order derivative moments in turbulent shear flows by taking account of the roles of small-scale intermittency and mean…
Dynamical equations for high-order structure functions, and a comparison of a mean field theory with experiments in three-dimensional turbulence
Susan Kurien, Katepalli R. Sreenivasan
Two recent publications [V. Yakhot, Phys. Rev. E {\bf 63}, 026307, (2001) and R.J. Hill, J. Fluid Mech. {\bf 434}, 379, (2001)] derive, through two different approaches that have t…
Measures of Anisotropy and the Universal Properties of Turbulence
Susan Kurien, Katepalli Sreenivasan
Local isotropy, or the statistical isotropy of small scales, is one of the basic assumptions underlying Kolmogorov's theory of universality of small-scale turbulent motion. While,…