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A systematic study of inertial energy cascade in three-dimensional Hall magnetohydrodynamic turbulence is conducted to probe into the locality of energy conserving triads and the subsequent transfers. Using direct numerical simulations, we…

Plasma Physics · Physics 2025-07-10 Arijit Halder , Supratik Banerjee , Pablo D. Mininni , Manohar K. Sharma

In elastic-wave turbulence, strong turbulence appears in small wave numbers while weak turbulence does in large wave numbers. Energy transfers in the coexistence of these turbulent states are numerically investigated in both of the Fourier…

Fluid Dynamics · Physics 2017-08-28 Naoto Yokoyama , Masanori Takaoka

The unit of nonlinear interaction in Navier-Stokes and the Magnetohydrodynamic (MHD) equations is a wavenumber triad ({\bf k,p,q}) satisfying ${\bf k+p+q=0}$. The expression for the combined energy transfer from two of these wavenumbers to…

Fluid Dynamics · Physics 2007-05-23 Gaurav Dar , Mahendra K. Verma , V. Eswaran

The basic entity of nonlinear interaction in Navier-Stokes and the Magnetohydrodynamic (MHD) equations is a wavenumber triad ({\bf k,p,q}) satisfying ${\bf k+p+q=0}$. The expression for the combined energy transfer from two of these…

Chaotic Dynamics · Physics 2009-11-07 Gaurav Dar , Mahendra K. Verma , V. Eswaran

Following the exact decomposition in eigenstates of helicity for the Navier-Stokes equations in Fourier space [F. Waleffe, Phys. Fluids A 4, 350 (1992)] we introduce a modified version of helical shell models for turbulence with non-local…

Fluid Dynamics · Physics 2015-11-04 Massimo De Pietro , Luca Biferale , Alexei A. Mailybaev

Classically, large-scale forced turbulence is characterized by a transfer of energy from large to small scales via nonlinear interactions. We have investigated the changes in this energy transfer process in broad-band forced turbulence…

Fluid Dynamics · Physics 2009-11-11 A. K. Kuczaj , B. J. Geurts , W. D. McComb

We investigate the transfer of energy from large scales to small scales in fully developed forced three-dimensional MHD-turbulence by analyzing the results of direct numerical simulations in the absence of an externally imposed uniform…

Fluid Dynamics · Physics 2015-06-26 Alexandros Alexakis , Pablo D. Mininni , Annick Pouquet

We investigate the energy cascade in wall-bounded turbulence by analysing the interscale transfer between streamwise and spanwise length scales in periodic channels. This transfer originates from the nonlinear interactions in the advective…

Fluid Dynamics · Physics 2025-11-10 Joy Chen , Ricardo Garcia-Mayoral

In an earlier paper (physics/0006012) we had developed a method for computing the effective energy transfer between any two Fourier modes in fluid or magnetohydrodynamic (MHD) flows. This method is applied to a pseudo-spectral, direct…

chao-dyn · Physics 2007-05-23 Gaurav Dar , Mahendra K. Verma , V. Eswaran

The shell-to-shell energy transfer rates for magnetohydrodynamic (MHD) turbulence are computed analytically, which shows local energy transfer rates from velocity to velocity, velocity to magnetic, magnetic to velocity, and magnetic to…

Chaotic Dynamics · Physics 2020-06-16 Mahendra K. Verma , Arvind Ayyer , Amar V. Chandra

Using direct numerical simulation of hydrodynamic turbulence with helicity forcing applied at all scales, a near-maximum helical turbulent state is obtained, with an inverse energy cascade at scales larger than the energy forcing scale and…

Fluid Dynamics · Physics 2020-05-20 Franck Plunian , Andrei Teimurazov , Rodion Stepanov , Mahendra Kumar Verma

The study of the exchange of momentum and energy between wave components of the turbulent velocity field, the so-called triad interactions, offers a unique way of visualizing and describing turbulence. Most often, this study has been…

Fluid Dynamics · Physics 2025-02-11 Preben Buchhave , Mengjia Ren , Clara Marika Velte

We investigate the locality of interactions in hydrodynamic turbulence using data from a direct numerical simulation on a grid of 1024^3 points; the flow is forced with the Taylor-Green vortex. An inertial range for the energy is obtained…

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

A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via non-resonant triads, applicable in meteorology, nonlinear optics and plasma wave turbulence. Transfer efficiency is…

Fluid Dynamics · Physics 2013-09-03 Miguel D. Bustamante , Brenda Quinn

Magnetic fields, compressibility and turbulence are important factors in many terrestrial and astrophysical processes. While energy dynamics, i.e. how energy is transferred within and between kinetic and magnetic reservoirs, has been…

Plasma Physics · Physics 2017-10-04 Philipp Grete , Brian W. O'Shea , Kris Beckwith , Wolfram Schmidt , Andrew Christlieb

We investigate the scale-locality of subgrid-scale (SGS) energy flux and inter-band energy transfers defined by the sharp spectral filter. We show by rigorous bounds, physical arguments and numerical simulations that the spectral SGS flux…

Fluid Dynamics · Physics 2015-05-14 Hussein Aluie , Gregory L. Eyink

We investigate nonlinear energy transfer for channel flows at friction Reynolds numbers of $Re_{\tau}=180$ and $590$. The key feature of the analysis is that we introduce a new variable, which quantifies the energy transferred from a source…

Fluid Dynamics · Physics 2025-01-15 Jitong Ding , Daniel Chung , Simon J. Illingworth

Turbulent flows exhibit intriguing energy transfers. In this paper, we compute the renormalized viscosities, mode-to-mode energy transfers, energy fluxes, and shell-to-shell energy transfers for the two-dimensional (2D) and…

Fluid Dynamics · Physics 2023-09-12 Mahendra K. Verma

We present computations of individual mode-to-mode energy transfers from direct numerical simulations of homogeneous isotropic turbulence. Unlike previous approaches based on shell-filtered velocity fields, this method distinguishes between…

Fluid Dynamics · Physics 2026-03-30 Arthur Couteau , Panayotis Dimopoulos Eggenschwiler , Patrick Jenny

A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via triads with nonzero frequency mismatch, applicable in meteorology, nonlinear optics and plasma wave turbulence. We…

Fluid Dynamics · Physics 2015-06-19 Miguel D. Bustamante , Brenda Quinn , Dan Lucas
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