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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…

混沌动力学 · 物理学 2009-11-07 Gaurav Dar , Mahendra K. Verma , V. Eswaran

In hydrodynamic and magnetohydrodynamic turbulence, expressions for the transfer rates rely on integrals over wavenumber triads $(\textbf{k,p,q})$ satisfying $\textbf{k+p+q=0}$. As an example $S_E^{uu}(\textbf{k|p,q})$ denotes the kinetic…

流体动力学 · 物理学 2020-04-22 Franck Plunian , Rodion Stepanov , Mahendra Kumar Verma

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 · 物理学 2007-05-23 Gaurav Dar , Mahendra K. Verma , V. Eswaran

In this paper we analytically compute the strength of nonlinear interactions in a triad, and the energy exchanges between wavenumber shells in incompressible fluid turbulence. The computation has been done using first-order perturbative…

混沌动力学 · 物理学 2009-11-07 Mahendra K. Verma , Arvind Ayyer , Olivier Debliquy , Shishir Kumar , Amar V. Chandra

We calculate the net energy per unit time exchanged between two sets of modes in a generic system governed by a three-wave kinetic equation. Our calculation is based on the property of detailed energy conservation of the triadic resonant…

流体动力学 · 物理学 2023-01-18 Giovanni Dematteis , Yuri V. Lvov

Understanding compressible turbulence is critical for modeling atmospheric, astrophysical, and engineering flows. However, compressible turbulence poses a more significant challenge than incompressible turbulence. We present a novel…

流体动力学 · 物理学 2025-08-07 Dhananjay Singh , Harshit Tiwari , Lekha Sharma , Mahendra K. Verma

In this paper we describe the mode-to-mode energy transfers and energy fluxes of MHD turbulence. These energy transfers are very useful for understanding the turbulence dynamics, as well as for applications such as dynamo. We illustrate how…

流体动力学 · 物理学 2019-02-19 Mahendra K. Verma , Rodion Stepanov , Franck Plunian

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…

流体动力学 · 物理学 2017-08-28 Naoto Yokoyama , Masanori Takaoka

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…

流体动力学 · 物理学 2025-11-10 Joy Chen , Ricardo Garcia-Mayoral

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…

等离子体物理 · 物理学 2017-10-04 Philipp Grete , Brian W. O'Shea , Kris Beckwith , Wolfram Schmidt , Andrew Christlieb

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…

流体动力学 · 物理学 2025-01-15 Jitong Ding , Daniel Chung , Simon J. Illingworth

A systematic study has been carried out to obtain the fundamental units of triad interaction in Hall magnetohydrodynamic turbulence. Instead of finding the elementary building blocks of non-unique mode-to-mode transfer rates, we have…

流体动力学 · 物理学 2023-12-19 Supratik Banerjee , Arijit Halder

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…

流体动力学 · 物理学 2013-09-03 Miguel D. Bustamante , Brenda Quinn

We study the role of helicity in the dynamics of energy transfer in a modified version of the Navier-Stokes equations with explicit breaking of the mirror symmetry. We select different set of triads participating in the dynamics on the…

流体动力学 · 物理学 2015-11-02 Ganapati Sahoo , Luca Biferale

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…

流体动力学 · 物理学 2015-06-26 Alexandros Alexakis , Pablo D. Mininni , Annick Pouquet

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…

流体动力学 · 物理学 2025-02-11 Preben Buchhave , Mengjia Ren , Clara Marika Velte

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…

混沌动力学 · 物理学 2020-06-16 Mahendra K. Verma , Arvind Ayyer , Amar V. Chandra

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…

流体动力学 · 物理学 2023-07-27 Nandita Pan , Supratik Banerjee

A systematic procedure to derive shell models for MHD turbulence is proposed. It takes into account the conservation of ideal quadratic invariants such as the total energy, the cross-helicity and the magnetic helicity as well as the…

混沌动力学 · 物理学 2015-05-13 T. Lessinnes , M. K. Verma , D. Carati

A short, abrupt increase in energy injection rate into steady strongly-driven rotating turbulent flow is used as a probe for energy transfer in the system. The injected excessive energy is localized in time and space and its spectra differ…

流体动力学 · 物理学 2025-10-30 Omri Shaltiel , Alon Salhov , Omri Gat , Eran Sharon
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