Feedback of zonal flows on wave turbulence driven by small-scale instability in the Charney-Hasegawa-Mima model

Connaughton, Colm; Nazarenko, Sergey; Quinn, Brenda

doi:10.1209/0295-5075/96/25001

Cited by 22 publications

(40 citation statements)

References 21 publications

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“…Theories of stratified wave turbulence should take these effects into account. The mechanism, and the tools presented here, can be also relevant in quasi-geostrophic turbulence [33] and plasma turbulence [34,35], where zonal flows are also known to develop.…”

Section: Discussionmentioning

confidence: 99%

“…While this theory can give information on the formation of the nonlinear energy cascade, it cannot characterize interactions of the wave field with a mean flow. Some extensions that consider nonlocal interactions and the development of zonal flows have been proposed to address this, and are specially relevant in the context of quasi-geostrophic turbulence [33], and plasma turbulence in tokamaks [34,35] to explain the development of large-scale flows.…”

Section: Introductionmentioning

confidence: 99%

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Absorption of waves by large-scale winds in stratified turbulence

Leoni

Mininni

2015

Phys. Rev. E

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The atmosphere is a nonlinear stratified fluid in which internal gravity waves are present. These waves interact with the flow, resulting in wave turbulence that displays important differences with the turbulence observed in isotropic and homogeneous flows. We study numerically the role of these waves and their interaction with the large scale flow, consisting of vertically sheared horizontal winds. We calculate their space and time resolved energy spectrum (a four-dimensional spectrum), and show that most of the energy is concentrated along a dispersion relation that is Doppler shifted by the horizontal winds. We also observe that when uniform winds are let to develop in each horizontal layer of the flow, waves whose phase velocity is equal to the horizontal wind speed have negligible energy. This indicates a nonlocal transfer of their energy to the mean flow. Both phenomena, the Doppler shift and the absorption of waves traveling with the wind speed, are not accounted for in current theories of stratified wave turbulence.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Absorption of waves by large-scale winds in stratified turbulence

Leoni

Mininni

2015

Phys. Rev. E

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“…We find that this transfer is mostly anisotropic and mostly to the zonal component. It is possible that a negative feedback loop forms, similar to in the one-layer model (Connaughton et al, 2011), whereby the growth of large scales should turn off the energy source (which we showed in the case of WT cannot be BI). One can answer this by direct numerical simulation (DNS) of the two-layer model and this is something to consider in future work.…”

Section: Resultsmentioning

confidence: 67%

Wave turbulence in the two-layer ocean model

et al. 2014

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This paper looks at the two-layer ocean model from a wave turbulence perspective. A symmetric form of the two-layer kinetic equation for Rossby waves is derived using canonical variables, allowing the turbulent cascade of energy between the barotropic and baroclinic modes to be studied. It turns out that energy is transferred via local triad interactions from the large-scale baroclinic modes to the baroclinic and barotropic modes at the Rossby deformation scale. From there it is then transferred to the large-scale barotropic modes via a nonlocal inverse transfer. Using scale separation a system of coupled equations were obtained for the small-scale baroclinic component and the large-scale barotropic component. Since the total energy of the small-scale component is not conserved, but the total barotropic plus baroclinic energy is conserved, the baroclinic energy loss at small scales will be compensated by the growth of the barotropic energy at large scales. It is found that this transfer is mostly anisotropic and mostly to the zonal component.

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“…It was claimed by these authors that the original HW model does not predict the formation of ZFs, which appears to be in contradiction with the CHM results of Connaughton et al and reported in Ref. [34], considering the fact that the HW model includes the CHM model as a limiting case. We discuss here the importance of addressing the problem of drift-wave turbulence in the framework of the reduced Hamiltonian model for trapped particles, in order to gain a better understanding of the differences between the HW and MHW models.…”

Section: Applications To Chm and Hw Turbulencementioning

confidence: 57%

Hasegawa–Wakatani and Modified Hasegawa–Wakatani Turbulence Induced by Ion-Temperature-Gradient Instabilities

Sarto

Ghizzo

2017

Fluids

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Abstract:We review some recent results that have been obtained in the investigation of zonal flow emergence, by means of a gyrokinetic trapped ion model, in the regime of ion temperature gradient instabilities for tokamak plasmas. We show that an analogous formulation of the zonal flow dynamics in terms of the Reynolds tensor applies in the fluid and kinetic regimes, where polarization effects play a major role. The kinetic regime leads to the emergence of a resonant mode at a frequency close to the drift frequency. With the objective of modeling both separate fluid and kinetic regimes of zonal flows, we used in this paper a methodology for deriving both Charney-Hasegawa-Mima (CHM) and Hasegawa-Wakatani models. This methodology is based on the trapped ion model and is analogous to the hierarchy leading from the Vlasov equation to the macroscopic fluid equations. The nature of zonal flows in the hierarchy of the Mima, Hasegawa and Wakatani models is investigated and discussed through comparisons with global kinetic simulations. Applications to the CHM equation are discussed, which applies to a broad variety of hydrodynamical systems, ranging from large-scale processes met in magnetically confined plasma to the so-called zonostrophy turbulence emerging in the case of small-scale forced, two-dimensional barotropic turbulence (Sukoriansky et al. Phys. Rev.

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Feedback of zonal flows on wave turbulence driven by small-scale instability in the Charney-Hasegawa-Mima model

Cited by 22 publications

References 21 publications

Absorption of waves by large-scale winds in stratified turbulence

Absorption of waves by large-scale winds in stratified turbulence

Wave turbulence in the two-layer ocean model

Hasegawa–Wakatani and Modified Hasegawa–Wakatani Turbulence Induced by Ion-Temperature-Gradient Instabilities

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