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The turbulent/non-turbulent interface is analysed in a direct numerical simulation of a boundary layer in the range $Re_\theta=2800-6600$, with emphasis on the behaviour of the relatively large-scale fractal intermittent region. This…

Fluid Dynamics · Physics 2017-10-23 Guillem Borrell , Javier Jiménez

We study analytically and numerically the corrections to scaling in turbulence which arise due to the finite ratio of the outer scale $L$ of turbulence to the viscous scale $\eta$, i.e., they are due to finite size effects as anisotropic…

chao-dyn · Physics 2009-10-22 Siegfried Grossmann , Detlef Lohse , Victor L'vov , Itamar Procaccia

A model based on two-point closure theory of turbulence is proposed and applied to study the Reynolds number dependency of the scalar flux spectra in homogeneous shear flow with a cross-stream uniform scalar gradient. For the cross-stream…

Classical Physics · Physics 2007-12-19 Wouter J. T. Bos , Jean-Pierre Bertoglio

The dynamics of small-scale structures in free-surface turbulence is crucial to large-scale phenomena in natural and industrial environments. Here we conduct experiments on the quasi-flat free surface of a zero-mean-flow turbulent water…

Fluid Dynamics · Physics 2025-03-14 Yinghe Qi , Yaxing Li , Filippo Coletti

We investigate the coupling effects of the two-phase interface, viscosity ratio, and density ratio of the dispersed phase to the continuous phase on the flow statistics in two-phase Taylor-Couette turbulence at a system Reynolds number of…

Fluid Dynamics · Physics 2024-09-12 Jinghong Su , Cheng Wang , Yi-bao Zhang , Fan Xu , Junwu Wang , Chao Sun

Statistical features of homogeneous, isotropic, two-dimensional turbulence is discussed on the basis of a set of direct numerical simulations up to the unprecedented resolution $32768^2$. By forcing the system at intermediate scales, narrow…

Chaotic Dynamics · Physics 2015-05-19 G. Boffetta , S. Musacchio

A theory of non-homogeneous turbulence is developed and is applied to boundary-free shear flows. The theory introduces assumptions of inner and outer similarity for the non-homogeneity of two-point statistics and predicts power law scalings…

Fluid Dynamics · Physics 2022-03-14 Jiangang Chen , John Christos Vassilicos

In this paper, we present theoretical results on the statistical properties of stationary, homogeneous and isotropic turbulence in incompressible flows in three dimensions. Within the framework of the Non-Perturbative Renormalization Group,…

Statistical Mechanics · Physics 2018-05-08 Malo Tarpin , Léonie Canet , Nicolás Wschebor

We propose a scheme for the calculation from the NS equations of the scaling exponents $\zeta_n$ of the $n$th order correlators in fully developed hydrodynamic turbulence. The scheme is nonperturbative and constructed to respect the…

chao-dyn · Physics 2015-06-24 Victor S. L'vov , Itamar Procaccia

The interaction between turbulence and surface tension is studied numerically using the one-dimensional-turbulence (ODT) model. ODT is a stochastic model simulating turbulent flow evolution along a notional one-dimensional line of sight by…

Fluid Dynamics · Physics 2024-04-16 A. Movaghar , R. Chiodi , M. Oevermann , O. Desjardins , A. R. Kerstein

We present numerical simulation of 2D turbulent flow using a new model for the subgrid scales which are computed using a dynamic equation linking the subgrid scales with the resolved velocity. This equation is not postulated, but derived…

Fluid Dynamics · Physics 2009-11-07 J. -P. Laval , B. Dubrulle , S. Nazarenko

We establish long-time and large-data existence of a suitable weak solution to three-dimensional internal unsteady flows described by Kolmogorov's two-equation model of turbulence. The governing system of equations is completed by initial…

Analysis of PDEs · Mathematics 2019-06-11 Miroslav Bulíček , Josef Málek

Turbulence is a fundamental flow phenomenon, typically anisotropic at large scales and approximately isotropic at small scales. The classical Kolmogorov scaling laws (2/3, -5/3 and 4/5) have been well-established for turbulence without…

Fluid Dynamics · Physics 2025-04-08 Yong-Ying Zeng , Zi-Ju Liao , Jun-Yi Li , Wei-Dong Su

In our previous work~\cite{SanchisAgudoVinuesa2025PRL}, we argued that viscous dissipation in turbulence can be understood as the macroscopic imprint of microscopic path uncertainty, and showed that a kernel variance field $s(y)$…

Fluid Dynamics · Physics 2026-01-08 Marcial Sanchis-Agudo , Ricardo Vinuesa

A central challenge in hydrodynamic turbulence is identifying precisely when, and at which length scales, strong turbulent fluctuations (STFs) emerge and develop into intermittent events, which are often obscured by conventional statistical…

This manuscript is a draft of work in progress, meant for network distribution only. It will be updated to a formal preprint when the numerical calculations will be accomplished. In this draft we develop a consistent closure procedure for…

chao-dyn · Physics 2016-08-31 Victor I. Belinicher , Victor S. L'vov , Itamar Procaccia

We report on recent progress in the physical and numerical modeling of compressible two-phase flows that involve phase transition between the liquid and gaseous state of the fluid. The high-speed dynamics of cavitation bubbles is studied in…

Fluid Dynamics · Physics 2014-02-14 Stefan Hickel

The goal of the present study is: (i) to demonstrate the two-dimensional nature of the elasto-inertial instability in elasto-inertial turbulence (EIT), (ii) to identify the role of the bi-dimensional instability in three-dimensional EIT…

Fluid Dynamics · Physics 2018-02-07 S. Sid , Y. Dubief , V. E. Terrapon

We present a theoretical and numerical study on the (in)stability of the interface between two immiscible liquids, i.e., viscous fingering, in angled Hele-Shaw cells across a range of capillary numbers ($Ca$). We consider two types of…

Fluid Dynamics · Physics 2020-03-06 Daihui Lu , Federico Municchi , Ivan C. Christov

We revisit the grid-point requirement estimates in Choi and Moin [Phys. Fluid, 24, 011702 (2012)] and establish more general grid-point requirements for direct numerical simulations (DNS) and large-eddy simulations (LES) of a spatially…

Fluid Dynamics · Physics 2021-06-16 Xiang I. A. Yang , Kevin Patrick Griffin