Cascades and transitions in turbulent flows

A Alexakis, L Biferale - Physics Reports, 2018 - Elsevier
Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

Transitions between turbulent states in a two-dimensional shear flow

V Dallas, K Seshasayanan, S Fauve - Physical Review Fluids, 2020 - APS
We study the bifurcations of the large-scale jets in the turbulent regime of a forced shear flow
using direct numerical simulations of the Navier-Stokes equations. The bifurcations are seen …

Reynolds-number dependence of the dimensionless dissipation rate in homogeneous magnetohydrodynamic turbulence

M Linkmann, A Berera, EE Goldstraw - Physical Review E, 2017 - APS
This paper examines the behavior of the dimensionless dissipation rate C ɛ for stationary
and nonstationary magnetohydrodynamic (MHD) turbulence in the presence of external …

[HTML][HTML] Cost-efficient finite-volume high-order schemes for compressible magnetohydrodynamics

JM Teissier, R Mäusle, WC Müller - Journal of Computational Physics, 2024 - Elsevier
We present an efficient dimension-by-dimension finite-volume method which solves the
adiabatic magnetohydrodynamics equations at high discretization order, using the …

Inverse cascade and magnetic vortices in kinetic Alfvén-wave turbulence

G Miloshevich, D Laveder, T Passot… - Journal of Plasma …, 2021 - cambridge.org
A Hamiltonian two-field gyrofluid model for kinetic Alfvén waves (KAWs) in a magnetized
electron–proton plasma, retaining ion finite-Larmor-radius corrections and parallel magnetic …

Departure from the statistical equilibrium of large scales in forced three-dimensional homogeneous isotropic turbulence

M Ding, JH Xie, J Wang - Journal of Fluid Mechanics, 2024 - cambridge.org
We study the statistically steady states of the forced dissipative three-dimensional
homogeneous isotropic turbulence at scales larger than the forcing scale in real separation …

Triad interactions and the bidirectional turbulent cascade of magnetic helicity

M Linkmann, V Dallas - Physical Review Fluids, 2017 - APS
Using direct numerical simulations, we demonstrate that magnetic helicity exhibits a
bidirectional turbulent cascade at high but finite magnetic Reynolds numbers. Despite the …

Inverse cascade of hybrid helicity in -MHD turbulence

MD Menu, S Galtier, L Petitdemange - Physical Review Fluids, 2019 - APS
We investigate the impact of a solid-body rotation Ω 0 on the large-scale dynamics of an
incompressible magnetohydrodynamic turbulent flow in presence of a background magnetic …

Calculations for the practical applications of quadratic helicity in MHD

PM Akhmet'ev, S Candelaresi, AY Smirnov - Physics of Plasmas, 2017 - pubs.aip.org
For the quadratic helicity χ (2), we present a generalization of the Arnol'd inequality which
relates the magnetic energy to the quadratic helicity, which poses a lower bound. We then …

Emergence of magnetic structure in supersonic isothermal magnetohydrodynamic turbulence

JM Teissier, WC Müller - Helicities in Geophysics, Astrophysics …, 2023 - Wiley Online Library
The inverse transfer of magnetic helicity is a fundamental process that may explain large-
scale magnetic structure formation and sustainment. Until very recently, direct numerical …