Long-time states of inverse cascades in the presence of a maximum length scale

Hossain, Murshed; Matthaeus, W. H.; Montgomery, David

doi:10.1017/s0022377800001306

Cited by 75 publications

(44 citation statements)

References 23 publications

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“…The distribution of J z inside the island at t = 200 T p is similar to that observed in 1D: the current peaks near the boundary of the island and has much weaker values well inside the island; locally, small scale filaments where the current changes sign are also observed. The island profiles assumed by J z during the non-linear phase are similar to those observed as asymptotic numerical solutions of 2D Navier-Stokes and magnetohydrodynamic equations [8].…”

Section: Two-dimensional Resultssupporting

confidence: 67%

Kinetic effects in the transverse filamentation instability of pair plasmas

D'Angelo

Fedeli

Sgattoni

et al. 2015

EPJ Web of Conferences

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Abstract. The evolution of the filamentation instability produced by two counter-streaming pair plasmas is studied with particle-in-cell (PIC) simulations in both one (1D) and two (2D) spatial dimensions. Radiation friction effects on particles are taken into account. During the nonlinear stage of the instability, a strong broadening of the particle energy spectrum occurs accompanied by the formation of a peak at twice their initial energy. A simple theory of the peak formation is presented. The presence of radiative losses does not change the dynamics of the instability but affects the structure of the particle spectra.

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Section: Two-dimensional Resultssupporting

confidence: 67%

Kinetic effects in the transverse filamentation instability of pair plasmas

D'Angelo

Fedeli

Sgattoni

et al. 2015

EPJ Web of Conferences

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“…A well-known example of the latter phenomenon is the condensation of energy in the largest accessible modes. In that case a domain-filling dipolar vortex emerges in forced 2-D turbulence in a double periodic domain, as predicted by Kraichnan 1 and observed in numerical simulations by Hossain et al 2 and Smith and Yakhot. 3 The mechanism responsible for these processes in decaying and in forced 2-D turbulence is the inverse energy cascade present in 2-D flows.…”

Section: Introductionsupporting

confidence: 68%

β -plane turbulence in a basin with no-slip boundaries

et al. 2006

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On a domain enclosed by no-slip boundaries, two-dimensional, geostrophic flows have been studied by numerical simulations of the Navier-Stokes equation with the ␤-plane approximation at intermediate Reynolds numbers and a range of values for ␤. The ␤ effect causes a refinement of the flow structures, and the presence of basin modes has been revealed by means of frequency spectra. The presence and apparent stability of basin modes on a domain enclosed by no-slip boundaries is a rather surprising observation, because these modes are solutions of the inviscid flow equations on a bounded domain ͑with free-slip boundaries͒. To understand the persistence of these basin modes, the viscous boundary layers near the no-slip walls have been investigated. The mean flow in forced simulations shows a zonal band structure, much unlike the regular Fofonoff-like solution observed when free-slip boundary conditions are used.

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“…Inverse cascade processes [23,24,25,26] are those wherein excitations externally injected at the small scales are preferentially transferred to the larger scales and pile up there, creating coherent macroscopic structures at large scales where none were present initially. A quantity which can be inversely cascaded in 3D MHD is H M [24,25].…”

Section: Relevant Equations; Problems Consideredmentioning

confidence: 99%

Numerical solutions of the three-dimensional magnetohydrodynamicαmodel

2005

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We present direct numerical simulations and α-model simulations of four familiar three-dimensional magnetohydrodynamic (MHD) turbulence effects: selective decay, dynamic alignment, inverse cascade of magnetic helicity, and the helical dynamo effect. The MHD α-model is shown to capture the long-wavelength spectra in all these problems, allowing for a significant reduction of computer time and memory at the same kinetic and magnetic Reynolds numbers. In the helical dynamo, not only does the α-model correctly reproduce the growth rate of magnetic energy during the kinematic regime, but it also captures the nonlinear saturation level and the late generation of a large scale magnetic field by the helical turbulence.

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Long-time states of inverse cascades in the presence of a maximum length scale

Cited by 75 publications

References 23 publications

Kinetic effects in the transverse filamentation instability of pair plasmas

Kinetic effects in the transverse filamentation instability of pair plasmas

β -plane turbulence in a basin with no-slip boundaries

Numerical solutions of the three-dimensional magnetohydrodynamicαmodel

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