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Inertial range energy transfer in three dimensional fully developed binary fluid turbulence is studied under the assumption of statistical homogeneity. Using two point statistics, exact relations corresponding to the energy cascade are…

Fluid Dynamics · Physics 2023-07-27 Nandita Pan , Supratik Banerjee

We briefly review helicity dynamics, inverse and bi-directional cascades in fluid and magnetohydrodynamic (MHD) turbulence, with an emphasis on the latter. The energy of a turbulent system, an invariant in the non-dissipative case, is…

Fluid Dynamics · Physics 2019-03-13 A. Pouquet , D. Rosenberg , J. E. Stawarz , R. Marino

Inertial particle data from three-dimensional direct numerical simulations of particle-laden homogeneous isotropic turbulence at high Reynolds number are analyzed using Voronoi tessellation of the particle positions, considering different…

Fluid Dynamics · Physics 2020-11-12 Thibault Oujia , Keigo Matsuda , Kai Schneider

Local analysis of the two dimensional Navier-Stokes equations is used to obtain estimates on the energy and enstrophy fluxes involving Taylor and Kraichnan length scales and the size of the domain. In the framework of zero driving force and…

Analysis of PDEs · Mathematics 2015-03-17 R. Dascaliuc , Z. Grujic

Astrophysical plasmas are often subject to both rotation and large-scale background magnetic fields. Individually, each is known to two-dimensionalize the flow in the perpendicular plane. In realistic flows, both of these effects are…

We study the scaling properties of two-dimensional turbulence using dimensional analysis. In particular, we consider the energy spectrum both at large and small scales and in the "inertial ranges" for the cases of freely decaying and forced…

Fluid Dynamics · Physics 2019-07-24 Leonardo Campanelli

Collective movements of bacteria exhibit a remarkable pattern of turbulence-like vortices, in which the Richardson cascade plays an important role. In this work, we examine the energy and enstrophy cascades and their associated lognormal…

Fluid Dynamics · Physics 2024-10-03 Yongxiang Huang

An ensemble model of turbulence based on states with constant flux in wavenumber space was proposed in [K. Yoshida, Phys. Rev. E, 106, 045106 (2022)]. The justification of this ensemble model relies on the conjecture that almost all states…

Fluid Dynamics · Physics 2025-07-08 Kyo Yoshida

Using direct numerical simulations of isotropic turbulence in periodic cubes of several sizes, the largest being $8192^3$ yielding a microscale Reynolds number of $1300$, we study the properties of pressure Laplacian to understand…

Fluid Dynamics · Physics 2019-05-22 Kartik P Iyer , Jörg Schumacher , Katepalli R Sreenivasan , P K Yeung

Turbulence in stratified and rotating turbulent flows is characterized by an interplay between waves and eddies, resulting in continuous exchanges between potential and kinetic energy. Here, we study how these processes affect the turbulent…

Fluid Dynamics · Physics 2024-07-11 Sebastian Gallon , Alessandro Sozza , Fabio Feraco , Raffaele Marino , Alain Pumir

Classical shell models of turbulence do not display dual cascade - inverse of energy and direct of enstrophy - because they fail to reproduce the right thermal spectra. We propose here a multi-branch shell model, including a geometry…

Fluid Dynamics · Physics 2026-03-13 Flavio Tuteri , Sergio Chibbaro , Alexandros Alexakis

We present a statistical analysis of the two-point vorticity probability density of the vorticity field generated in the inverse cascade of stationary two-dimensional turbulence.

Fluid Dynamics · Physics 2012-12-12 R. Friedrich , M. Voßkuhle , O. Kamps , M. Wilczek

Using experimental longitudinal and transverse velocities data for very high Reynolds number turbulence, we study both anisotropy and asymmetry of turbulence. These both seem to be related to small scale turbulent structures, and to…

Atmospheric and Oceanic Physics · Physics 2007-05-23 S. I. Vainshtien

Direct numerical simulation is performed to study compressible, viscous flow around a circular cylinder. The present study considers two-dimensional, shock-free continuum flow by varying the Reynolds number between 20 and 100 and the…

Fluid Dynamics · Physics 2017-05-26 Daniel Canuto , Kunihiko Taira

The effect of helicity (velocity-vorticity correlations) is studied in direct numerical simulations of rotating turbulence down to Rossby numbers of 0.02. The results suggest that the presence of net helicity plays an important role in the…

Fluid Dynamics · Physics 2009-11-13 P. D. Mininni , A. Pouquet

Among existing subgrid scale models for large-eddy simulation (LES) some are time-reversible in the sense that the dynamics evolve backwards in time after a transformation $\bm u \rightarrow -\bm u$ at every point in space. In practice,…

Fluid Dynamics · Physics 2015-06-03 Le Fang , Wouter Bos , Liang Shao , Jean-Pierre Bertoglio

The behavior of the second-order Lagrangian structure functions on state-of-the-art numerical data both in two and three dimensions is studied. On the basis of a phenomenological connection between Eulerian space-fluctuations and the…

Fluid Dynamics · Physics 2014-03-13 Alessandra S. Lanotte , Luca Biferale , Guido Boffetta , Federico Toschi

Three-dimensional turbulence is usually studied experimentally by using a spatially localized forcing at large scales (e.g. via rotating blades or oscillating grids), often in a deterministic way. Here, we report an original technique where…

We demonstrate that like in the forward cascade of three dimensional turbulence that displays intermittency (lack of self-similarity) due to the concentration of energy dissipation in a small set of fractal dimension less than three, the…

Fluid Dynamics · Physics 2022-06-07 George Sofiadis , Ioannis E. Sarris , Alexandros Alexakis

This paper numerically investigates the instability characteristics of decelerating flows. The flow dynamics and temporal evolution of coherent structures in a diverging section with mild spatial pressure gradient are analyzed using…

Fluid Dynamics · Physics 2023-05-30 Ahire Swapnil Ashok , Manu K.