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Related papers: Alternative to R_lambda-scaling of Small-Scale Tur…

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From a database of direct numerical simulations of homogeneous and isotropic turbulence, generated in periodic boxes of various sizes, we extract the spherically symmetric part of moments of velocity increments and first verify the…

Fluid Dynamics · Physics 2020-05-20 Kartik P. Iyer , Katepalli R. Sreenivasan , P. K. Yeung

By tracking the divergence of two initially close trajectories in phase space in an Eulerian approach to forced turbulence, the relation between the maximal Lyapunov exponent $\lambda$, and the Reynolds number $Re$ is measured using direct…

Fluid Dynamics · Physics 2018-01-31 A. Berera , R. D. J. G. Ho

Sommerfeld paradox (turbulence paradox) roughly says that mathematically the Couette linear shear flow is linearly stable for all values of the Reynolds number, but experimentally transition from the linear shear to turbulence occurs under…

Analysis of PDEs · Mathematics 2011-07-20 Yueheng Lan , Y. Charles Li

We investigate numerically the statistical properties of the large scale flow in Rayleigh--B\'enard convection. By using an external random perturbation on the temperature field, we were able to decrease the effective Prandtl number of the…

Chaotic Dynamics · Physics 2007-05-23 Roberto Benzi , Roberto Verzicco

We report results on rotating stratified turbulence in the absence of forcing, with large-scale isotropic initial conditions, using direct numerical simulations computed on grids of up to 4096^3 points. The Reynolds and Froude numbers are…

Fluid Dynamics · Physics 2015-06-11 D. Rosenberg , A. Pouquet , R. Marino , P. D. Mininni

We generalize an analogy between rotating and stratified shear flows. This analogy is summarized in Table 1. We use this analogy in the unstable case (centrifugally unstable flow v.s. convection) to compute the torque in Taylor-Couette…

Fluid Dynamics · Physics 2015-05-28 B. Dubrulle , F. Hersant

A series of direct numerical simulations in large computational domains has been performed in order to probe the spatial feature robustness of the Taylor rolls in turbulent Taylor-Couette (TC) flow. The latter is the flow between two…

Fluid Dynamics · Physics 2017-04-21 Rodolfo Ostilla-Mónico , Detlef Lohse , Roberto Verzicco

We report a detailed study of Eulerian and Lagrangian statistics from high resolution Direct Numerical Simulations of isotropic weakly compressible turbulence. Reynolds number at the Taylor microscale is estimated to be around 600. Eulerian…

Fluid Dynamics · Physics 2009-05-04 R. Benzi , L. Biferale , R. Fisher , D. Q. Lamb , F. Toschi

It is evident from the literature that many engineers describe the Reynolds number qualitatively as ``the ratio of inertial forces to viscous forces''. Yet it is not immediately obvious that the well known expression Re = LV(rho)/(eta),…

Classical Physics · Physics 2007-05-23 Randall D. Peters , Loren Sumner

The addition of particles to turbulent flows changes the underlying mechanism of turbulence and leads to turbulence modulation. Different temporal and spatial scales for both phases make it challenging to understand turbulence modulation…

Fluid Dynamics · Physics 2023-05-24 Naveen Rohilla , Siddhi Arya , Partha Sarathi Goswami

Developed Navier-Stokes turbulence is simulated with varying wavevector mode reductions. The flatness and the skewness of the velocity derivative depend on the degree of mode reduction. They show a crossover towards the value of the full…

chao-dyn · Physics 2009-10-28 Siegfried Grossmann , Detlef Lohse , Achim Reeh

Rayleigh-Taylor (RT) unstable flames are a key component of Type Ia and Iax supernovae explosions, but their complex hydrodynamics is still not well understood. These flames are affected not only by the RT instability, but also by the…

Solar and Stellar Astrophysics · Physics 2019-09-05 E P Hicks

Turbulent Rayleigh-B\'enard convection displays a large-scale order in the form of rolls and cells on lengths larger than the layer height once the fluctuations of temperature and velocity are removed. These turbulent superstructures are…

Fluid Dynamics · Physics 2018-05-30 Ambrish Pandey , Janet D. Scheel , Jörg Schumacher

Experiments (Mullin and Kreswell, 2005) show that transition to turbulence can start at Reynolds numbers lower than it is predicted by the linear stability analysis - the subcritical transition to turbulence. To explain these observations…

Fluid Dynamics · Physics 2008-07-08 K. Y. Volokh

The macroscopic study of hydrodynamic turbulence is equivalent, at an abstract level, to the microscopic study of a heat flow for a suitable mechanical system. Turbulent fluctuations (intermittency) then correspond to thermal fluctuations,…

Fluid Dynamics · Physics 2015-06-19 David Ruelle

Elastic turbulence is the chaotic fluid motion resulting from elastic instabilities due to the addition of polymers in small concentrations at very small Reynolds ($\mbox{Re}$) numbers. Our direct numerical simulations show that elastic…

Fluid Dynamics · Physics 2024-04-24 Rahul K. Singh , Prasad Perlekar , Dhrubaditya Mitra , Marco E. Rosti

For low-Reynolds number shear-flows of neutrally-buoyant suspensions, the shear stress is often modeled using an effective viscosity that depends only on the solid fraction. As the Reynolds number ($Re$) is increased and inertia becomes…

Fluid Dynamics · Physics 2020-12-10 Esperanza Linares-Guerrero , Melany L. Hunt , Roberto Zenit

Two mechanisms are considered responsible for the turbulence modification due to suspended particles in a turbulent gas-particle suspension. Turbulence augmentation is due to the enhancement of fluctuations by wakes behind particles,…

Fluid Dynamics · Physics 2018-11-19 V. Kumaran , P Muramalla , A. Tyagi , P. S. Goswami

The dynamics of self-similar Rayleigh-Taylor (RT) mixing layers are investigated across a broad range of Atwood and Reynolds numbers using the statistically stationary Rayleigh-Taylor (SRT) flow configuration - a computational framework…

Fluid Dynamics · Physics 2026-03-11 Chian Yeh Goh , Daniel Brito Matehuala , Guillaume Blanquart

(abridged) Context: Turbulent diffusion of large-scale flows and magnetic fields play major roles in many astrophysical systems. Aims: Our goal is to compute turbulent viscosity and magnetic diffusivity, relevant for diffusing large-scale…

Solar and Stellar Astrophysics · Physics 2020-04-29 Petri J. Käpylä , Matthias Rheinhardt , Axel Brandenburg , Maarit J. Käpylä