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Starting from the assumption that saturation of plasma turbulence driven by temperature-gradient instabilities in fusion plasmas is achieved by a local energy cascade between a long-wavelength outer scale, where energy is injected into the…

Plasma Physics · Physics 2025-10-23 P. G. Ivanov , T. Adkins , D. Kennedy , M. Giacomin , M. Barnes , A. A. Schekochihin

We solve the advection-diffusion equation for a stochastically stationary passive scalar $\theta$, in conjunction with forced 3D Navier-Stokes equations, using direct numerical simulations in periodic domains of various sizes, the largest…

Fluid Dynamics · Physics 2021-11-19 Dhawal Buaria , Matthew P. Clay , Katepalli R. Sreenivasan , P. K. Yeung

This paper provides a prescription for the turbulent viscosity in rotating shear flows for use e.g. in geophysical and astrophysical contexts. This prescription is the result of the detailed analysis of the experimental data obtained in…

Fluid Dynamics · Physics 2015-05-28 B. Dubrulle , O. Dauchot , F. Daviaud , P-Y. Longaretti , D. Richard , J-P. Zahn

The probabilistic approach to turbulence is applied to investigate density fluctuations in supersonic turbulence. We derive kinetic equations for the probability distribution function (PDF) of the logarithm of the density field, $s$, in…

Astrophysics of Galaxies · Physics 2018-10-24 Liubin Pan , Paolo Padoan , Åke Nordlund

Deep learning is increasingly becoming a promising pathway to improving the accuracy of sub-grid scale (SGS) turbulence closure models for large eddy simulations (LES). We leverage the concept of differentiable turbulence, whereby an…

The present work investigates the mechanical behaviour of finite-size, elastic and inertial fibres freely moving in a homogeneous and isotropic turbulent flow at moderate Reynolds number. Fully-resolved, direct numerical simulations, based…

Fluid Dynamics · Physics 2022-08-24 Stefano Olivieri , Andrea Mazzino , Marco E. Rosti

Low Stokes number particles at dilute concentrations in turbulent flows can reasonably be approximated as passive scalars. The added presence of a drift velocity due to buoyancy or gravity when considering the transport of such passive…

Fluid Dynamics · Physics 2024-11-20 Omkar B. Shende , Liam Storan , Ali Mani

We study the fully nonlinear, nonlocal dynamics of two-dimensional multicomponent vesicles in a shear flow with matched viscosity of the inner and outer fluids. Using a nonstiff, pseudo-spectral boundary integral method, we investigate…

Soft Condensed Matter · Physics 2016-11-01 Kai Liu , Gary R. Marple , Shuwang Li , Shravan Veerapaneni , John Lowengrub

We present a reduced model for the transition to turbulence in shear flow that is simple enough to admit a thorough numerical investigation while allowing spatio-temporal dynamics that are substantially more complex than those allowed in…

Fluid Dynamics · Physics 2011-07-05 J. H. P. Dawes , W. J. Giles

Passive scalars advected by a magnetically driven two-dimensional turbulent flow are analyzed using methods of statistical topography. The passive tracer concentration is interpreted as the height of a random surface and the scaling…

Statistical Mechanics · Physics 2009-10-31 J. Kondev , G. Huber

We present direct numerical simulations (DNS) of the mixing of the passive scalar at modest Reynolds numbers (10 =< R_\lambda =< 42) and Schmidt numbers larger than unity (2 =< Sc =< 32). The simulations resolve below the Batchelor scale up…

Chaotic Dynamics · Physics 2009-11-11 Joerg Schumacher , Katepalli R. Sreenivasan

We consider an advection of a passive scalar by a flow which is a superposition of random waves. We find that such a flow can lead to an exponential growth of the passive scalar fluctuations. We calculate the growth rate at the fourth order…

Chaotic Dynamics · Physics 2007-05-23 A. M. Balk. G. Falkovich , M. S. Stepanov

We study turbulent flows in pressure-driven ducts with square cross-section through direct numerical simulation in a wide enough range of Reynolds number to reach flow conditions which are representative of fully developed turbulence.…

Fluid Dynamics · Physics 2018-03-14 S. Pirozzoli , D. Modesti , P. Orlandi , F. Grasso

The generation of small-scale anisotropy in turbulent shearless mixing is numerically investigated. Data from direct numerical simulations at Taylor Reynolds' numbers between 45 and 150 show that there is not only a significant departure of…

Fluid Dynamics · Physics 2015-03-13 Daniela Tordella , Michele Iovieno

Transport coefficients associated with the mass flux of a binary mixture of Maxwell molecules under uniform shear flow are exactly determined from the Boltzmann kinetic equation. A normal solution is obtained via a Chapman--Enskog-like…

Statistical Mechanics · Physics 2009-11-13 Vicente Garzo

A one-dimensional version of the second-order transition model based on the sheared flow amplification by Reynolds stress and turbulence supression by shearing is presented. The model discussed in this paper includes a form of the Reynolds…

Plasma Physics · Physics 2009-11-13 Ivan Calvo , Benjamin A. Carreras

Turbulence governed by the Navier-Stokes equations shows a tendency to evolve towards a state in which the nonlinearity is diminished. In fully developed turbulence this tendency can be measured by comparing the variance of the nonlinear…

Fluid Dynamics · Physics 2014-01-16 Wouter Bos , Robert Rubinstein

We present an algebraic model for turbulent scalar-flux vector that stems from tensor representation theory. The resulting closure contains direct dependence on mean velocity gradients and on frame rotation tensor that accounts for Coriolis…

This paper presents a parameter-free theory of shear-generated turbulence at asymptotically high Reynolds numbers in incompressible fluids. It is based on a two-fluids concept. Both components are materially identical and inviscid. The…

Fluid Dynamics · Physics 2012-06-01 Helmut Z. Baumert

We investigate statistical properties of the passive scalar near boundaries (walls) in random (turbulent) flows assuming weakness of its diffusion. Then at advanced stages of the passive scalar mixing its unmixed residue is concentrated in…

Chaotic Dynamics · Physics 2015-03-13 A. Chernykh , V. Lebedev