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Invariance properties of physical systems govern their behavior: energy conservation in turbulence drives a wide distribution of energy among modes, observed in geophysical or astrophysical flows. In ideal hydrodynamics, the role of…

Fluid Dynamics · Physics 2015-05-14 A. Pouquet , P. D. Mininni

We perform numerical simulations of decaying rotating stratified turbulence and show, in the Boussinesq framework, that helicity (velocity-vorticity correlation), as observed in super-cell storms and hurricanes, is spontaneously created due…

Fluid Dynamics · Physics 2013-11-28 Raffaele Marino , Pablo D. Mininni , Duane Rosenberg , Annick Pouquet

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

Helicity, a measure of the breakage of reflectional symmetry representing the topology of turbulent flows, contributes in a crucial way to their dynamics and to their fundamental statistical properties. We review several of their main…

Plasma Physics · Physics 2022-02-16 Annick Pouquet , Nobumitsu Yokoi

We present a parametric space study of the decay of turbulence in rotating flows combining direct numerical simulations, large eddy simulations, and phenomenological theory. Several cases are considered: (1) the effect of varying the…

Fluid Dynamics · Physics 2015-05-19 T. Teitelbaum , P. D. Mininni

The effect of the helicity on the dynamics of the turbulent flows is investigated. The aim is to disentangle the role of helicity in fixing the direction, the intensity and the fluctuations of the energy transfer across the inertial range…

Chaotic Dynamics · Physics 2016-02-09 Ganapati Sahoo , Fabio Bonaccorso , Luca Biferale

The effects of large scale mechanical forcing on the dynamics of rotating turbulent flows are studied by means of numerical simulations, varying systematically the nature of the mechanical force in time. We demonstrate that the…

Fluid Dynamics · Physics 2016-06-29 Vassilios Dallas , Steve Tobias

The self-similar decay of energy in a turbulent flow is studied in direct numerical simulations with and without rotation. Two initial conditions are considered: one non-helical (mirror-symmetric), and one with maximal helicity. The results…

Fluid Dynamics · Physics 2015-05-13 T. Teitelbaum , P. D. Mininni

We present results from direct numerical simulations of the Boussinesq equations in the presence of rotation and/or stratification, both in the vertical direction. The runs are forced isotropically and randomly at small scales and have…

Fluid Dynamics · Physics 2015-06-22 R. Marino , P. D. Mininni , D. L. Rosenberg , A. Pouquet

Kinetic helicity (hereafter helicity) is defined by the correlation between the velocity and the flow-aligned vorticity. Helicity, as well as energy, is an inviscid invariant of the hydrodynamic equations. In contrast to energy, a measure…

Fluid Dynamics · Physics 2023-03-07 Nobumitsu Yokoi

We perform two high resolution direct numerical simulations of stratified turbulence for Reynolds number equal to Re~25000 and Froude number respectively of Fr~0.1 and Fr~0.03. The flows are forced at large scale and discretized on an…

Fluid Dynamics · Physics 2014-12-04 C. Rorai , P. D. Mininni , A. Pouquet

A decomposition of the energy and helicity fluxes in a turbulent hydrodynamic flow is proposed. The decomposition is based on the projection of the flow to a helical basis that allows to investigate separately the role of interactions among…

Fluid Dynamics · Physics 2017-03-08 Alexandros Alexakis

We consider the effect of stratification on systematic, large-scale flows generated in anelastic convection. We present results from three-dimensional numerical simulations of convection in a rotating plane layer in which the angle between…

Fluid Dynamics · Physics 2020-07-15 Laura K. Currie , Steven M. Tobias

Turbulent flows are known to produce enhanced effective magnetic and passive scalar diffusivities, which can fairly accurately be determined with numerical methods. It is now known that, if the flow is also helical, the effective magnetic…

Fluid Dynamics · Physics 2025-05-02 Axel Brandenburg , Petri J. Käpylä , Igor Rogachevskii , Nobumitsu Yokoi

The statistics of the energy and helicity fluxes in isotropic turbulence are studied using high resolution direct numerical simulation. The scaling exponents of the energy flux agree with those of the transverse velocity structure functions…

Chaotic Dynamics · Physics 2009-11-07 Qiaoning Chen , Shiyi Chen , Gregory L. Eyink , Darryl D. Holm

Turbulence sustains out-of-equilibrium energy fluxes shaped by conservation laws. Three-dimensional flows conserve energy and sign-indefinite helicity, both being transferred to small scales. Yet in 3D rotating turbulence, energy is…

Fluid Dynamics · Physics 2026-02-24 Sébastien Gomé , Anna Frishman

The conventional approach to the turbulent energy cascade, based on Richardson-Kolmogorov phenomenology, ignores the topology of emerging vortices, which is related to the helicity of the turbulent flow. It is generally believed that…

Fluid Dynamics · Physics 2015-12-09 Rodion Stepanov , Ephim Golbraikh , Peter Frick , Alexander Shestakov

The decay of kinetic helicity is studied in numerical models of forced turbulence using either an externally imposed forcing function as an inhomogeneous term in the equations or, alternatively, a term linear in the velocity giving rise to…

Solar and Stellar Astrophysics · Physics 2015-03-17 Axel Brandenburg , Arakel Petrosyan

The existence of a second quadratic inviscid invariant, the helicity, in a turbulent flow leads to coexisting cascades of energy and helicity. An equivalent of the four-fifth law for the longitudinal third order structure function, which is…

chao-dyn · Physics 2007-05-23 P. D. Ditlevsen , P. Giuliani

Solutions of the forced Navier-Stokes equation have been conjectured to thermalize at scales larger than the forcing scale, similar to an absolute equilibrium obtained for the spectrally-truncated Euler equation. Using direct numeric…

Fluid Dynamics · Physics 2017-11-15 Alexandre Cameron , Alexandros Alexakis , Marc-Étienne Brachet
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