Experimental quantification of inverse energy cascade in deep rotating turbulence

Yarom, Ehud; Vardi, Yuval; Sharon, Eran

doi:10.1063/1.4817666

Cited by 46 publications

(36 citation statements)

References 34 publications

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“…Direct numerical simulations have shown that rotating flows in finite domains can develop inverse cascades of energy (see, e.g., [34,35]), and recent experiments have observed the same phenomena [36]. In the case of stratified flows, the situation is less clear.…”

Section: Introductionmentioning

confidence: 90%

Large-scale anisotropy in stably stratified rotating flows

et al. 2014

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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 spatial resolutions of up to 1024 3 grid points and Reynolds numbers of ≈ 1000. We first show that solutions with negative energy flux and inverse cascades develop in rotating turbulence, whether or not stratification is present. However, the purely stratified case is characterized instead by an early-time, highly anisotropic transfer to large scales with almost zero net isotropic energy flux. This is consistent with previous studies that observed the development of vertically sheared horizontal winds, although only at substantially later times. However, and unlike previous works, when sufficient scale separation is allowed between the forcing scale and the domain size, the total energy displays a perpendicular (horizontal) spectrum with power law behavior compatible with ∼ k −5/3 ⊥ , including in the absence of rotation. In this latter purely stratified case, such a spectrum is the result of a direct cascade of the energy contained in the large-scale horizontal wind, as is evidenced by a strong positive flux of energy in the parallel direction at all scales including the largest resolved scales.

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Section: Introductionmentioning

confidence: 90%

Large-scale anisotropy in stably stratified rotating flows

et al. 2014

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“…However, inverse energy cascades have been detected in rapidly-rotating laboratory experiments with forced turbulence (e.g., Yarom et al, 2013), suggesting that convection-driven LSVs will be detected in laboratory experiments and in non-slip DNS that are carried out at sufficiently extreme conditions (e.g., E K 10 À7 ; Pr K 1).…”

Section: Heat Transfermentioning

confidence: 99%

Rotating convective turbulence in Earth and planetary cores

Aurnou

Calkins

Cheng

et al. 2015

Physics of the Earth and Planetary Interiors

128

146

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a b s t r a c tAn accurate description of turbulent core convection is necessary in order to build robust models of planetary core processes. Towards this end, we focus here on the physics of rapidly rotating convection. In particular, we present a closely coupled suite of advanced asymptotically-reduced theoretical models, efficient Cartesian direct numerical simulations (DNS) and laboratory experiments. Good convergence is demonstrated between these three approaches, showing that a comprehensive understanding of the dynamics appears to be within reach in our simplified rotating convection system. The goal of this paper is to review these findings, and to discuss their possible implications for planetary cores dynamics.

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“…[41] and [42] for more recent realizations, using fractal grids). Other forcings have been used with similar results, like arrays of tubes acting as sinks and sources [43][44][45] and electromagnetic forcing (see Fig. 3(d)) [37,46,47].…”

mentioning

confidence: 98%

Structure and Dynamics of Rotating Turbulence: A Review of Recent Experimental and Numerical Results

Godeferd

Moisy

2015

Applied Mechanics Reviews

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Rotating turbulence is a fundamental phenomenon appearing in several geophysical and industrial applications. Its study benefited from major advances in the recent years, but also raised new questions. We review recent results for rotating turbulence, from several numerical and experimental researches, and in relation with theory and models, mostly for homogeneous flows. We observe a convergence in the statistical description of rotating turbulence from the advent of modern experimental techniques and computational power that allows to investigate the structure and dynamics of rotating flows at similar parameters and with similar description levels. The improved picture about the anisotropization mechanisms, however, reveals subtle differences in the flow conditions, including its generation and boundary conditions, which lead to separate points of view about the role of linear mechanisms-the Coriolis force and inertial waves-compared with more complex nonlinear triadic interactions. This is discussed in relation with the most recent diagnostic of dynamical equations in physical and spectral space.

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Experimental quantification of inverse energy cascade in deep rotating turbulence

Cited by 46 publications

References 34 publications

Large-scale anisotropy in stably stratified rotating flows

Large-scale anisotropy in stably stratified rotating flows

Rotating convective turbulence in Earth and planetary cores

Structure and Dynamics of Rotating Turbulence: A Review of Recent Experimental and Numerical Results

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