Approaching complexity by stochastic methods: From biological systems to turbulence

R Friedrich, J Peinke, M Sahimi, MRR Tabar - Physics Reports, 2011 - Elsevier
This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

Meso-scale turbulence in living fluids

HH Wensink, J Dunkel, S Heidenreich… - Proceedings of the …, 2012 - National Acad Sciences
Turbulence is ubiquitous, from oceanic currents to small-scale biological and quantum
systems. Self-sustained turbulent motion in microbial suspensions presents an intriguing …

Turbulent structure of a stratified supernova-driven interstellar medium

MKR Joung, MM Mac Low - The Astrophysical Journal, 2006 - iopscience.iop.org
To study how supernova feedback structures the turbulent interstellar medium, we construct
3D models of vertically stratified gas stirred by discrete supernova explosions, including …

Equations relating structure functions of all orders

RJ Hill - Journal of Fluid Mechanics, 2001 - cambridge.org
Exact equations are given that relate velocity structure functions of arbitrary order with other
statistics.'Exact'means that no approximations are used except that the Navier–Stokes …

Scaling relations of supersonic turbulence in star-forming molecular clouds

S Boldyrev, Å Nordlund, P Padoan - The Astrophysical Journal, 2002 - iopscience.iop.org
We present a direct numerical and analytical study of driven supersonic
magnetohydrodynamic turbulence that is believed to govern the dynamics of star-forming …

Transverse structure functions in high-Reynolds-number turbulence

B Dhruva, Y Tsuji, KR Sreenivasan - Physical Review E, 1997 - APS
Transverse structure functions are obtained at high Reynolds numbers in atmospheric
turbulence (Taylor microscale Reynolds numbers between 10 000 and 15 000). These …

Nonlocality and intermittency in three-dimensional turbulence

JP Laval, B Dubrulle, S Nazarenko - Physics of Fluids, 2001 - pubs.aip.org
A puzzling feature of three-dimensional turbulence is the large deviations from Gaussianity
observed as one probes smaller and smaller scales. These deviations are usually believed …

Refined similarity hypothesis for transverse structure functions in fluid turbulence

S Chen, KR Sreenivasan, M Nelkin, N Cao - Physical review letters, 1997 - APS
We argue on the basis of empirical data that Kolmogorov's refined similarity hypothesis
(RSH) needs to be modified for transverse velocity increments, and propose an alternative …

Reynolds number dependence of the small-scale structure of grid turbulence

T Zhou, RA Antonia - Journal of Fluid Mechanics, 2000 - cambridge.org
The small-scale structure of grid turbulence is studied primarily using data obtained with a
transverse vorticity (ω3) probe for values of the Taylor-microscale Reynolds number Rλ in …

Reynolds number scaling of velocity increments in isotropic turbulence

KP Iyer, KR Sreenivasan, PK Yeung - Physical Review E, 2017 - APS
Using the largest database of isotropic turbulence available to date, generated by the direct
numerical simulation (DNS) of the Navier-Stokes equations on an 8192 3 periodic box, we …