Global Gyrokinetic Stability of Temperature-Gradient-Driven Trapped Ion Modes with Magnetic Shear

Ghizzo, A.; Mouden, M. El; Sarto, D. Del; Garbet, X.; Sarazin, Y.

doi:10.1080/00411450.2011.651043

Cited by 6 publications

(11 citation statements)

References 34 publications

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“…The coordinates of the guiding-center are xg = (ψg, θg, ϕg) and the equations of motion write: dimensionality of the problem and the possibility of in-dψg = v (x ), (5) cluding electrons. Note that a more detailed development of the model is given in [6] for ion species.…”

Section: Trapped Particle Motionmentioning

confidence: 99%

“…Here fs is the bounce averaged gyro-kinetic distribution function of the species s, which represents the distribution of "banana centers". Equation ( 23) is the same as the one derived in reference [6]. Each species evolves according to similar Vlasov-type equations, with species-dependent expressions of the gyro-bounce operator.…”

Section: Quasi-neutrality Constraintmentioning

confidence: 99%

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A gyro-kinetic model for trapped electron and ion modes

et al. 2014

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In tokamak plasmas, it is recognized that ITG (ion temperature gradient instability) and trapped electron modes (TEM) are held responsible for turbulence giving rise to anomalous transport. The present work focuses on the building of a model including trapped kinetic ions and trapped kinetic electrons. For this purpose, the dimensionality is reduced by averaging the motion over the cyclotron motion and the "banana" orbits, according to the fact that the instabilities are characterized by frequencies of the order of the low trapped particle precession frequency. Moreover, a set of action-angle variables is used. The final model is 4D (two-dimensional phase space parametrized by the two first adiabatic invariants namely the particle energy and the trapping parameter). In this paper, the trapped ion and electron modes (TIM and TEM) are studied by using a linear analysis of the model. This work is currently performed in order to include trapped electrons in an existing semi lagrangian code for which TIM modes are already taken into account. This study can be considered as a first step in order to include kinetic trapped electrons in the 5D gyrokinetic code GYSELA [J. Abiteboul et al., ESAIM Proc. 32, 103 (2011)].

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Section: Trapped Particle Motionmentioning

confidence: 99%

Section: Quasi-neutrality Constraintmentioning

confidence: 99%

A gyro-kinetic model for trapped electron and ion modes

et al. 2014

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“…The similarity between the reduced Hamiltonian model for trapped ions and the CHM equation had been already pointed out in Ref. [1].…”

Section: The Chm Modelmentioning

confidence: 99%

“…In this paper, we address these points by providing a rigorous derivation of a MHW-type model from a reduced kinetic model for trapped ions in banana orbits, apt to describe the production of ZF through a resonant energy transfer mechanism [1,8,9]. The trapped ion model can be seen as an extension of the HW model, and allows the description of TIMs, a prototype of collective modes of kinetic nature.…”

Section: Introductionmentioning

confidence: 99%

“…Turbulence due to drift-wave is a ubiquitous feature of magnetically confined plasmas. In the studies of magnetized plasmas, theories and simulations have predicted that drift-wave turbulence or interchange turbulence [1], in the case of a toroidal geometry, can generate mesoscale structures, such as zonal flows (ZFs), sheared flows, but also streamers. These mesoscale structures, ZFs and streamers, have different behaviors and their impacts on turbulence-driven transport show strong contrasts.…”

Section: Introductionmentioning

confidence: 99%

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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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Shear-flow trapped-ion-mode interaction revisited. I. Influence of low-frequency zonal flow on ion-temperature-gradient driven turbulence

Ghizzo

Palermo

2015

Physics of Plasmas

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Collisionless trapped ion modes (CTIMs) turbulence exhibits a rich variety of zonal flow physics. The coupling of CTIMs with shear flow driven by the Kelvin-Helmholtz (KH) instability has been investigated. The work explores the parametric excitation of zonal flow modified by wave-particle interactions leading to a new type of resonant low-frequency zonal flow. The KH-CTIM interaction on zonal flow growth and its feedback on turbulence is investigated using semi-Lagrangian gyrokinetic Vlasov simulations based on a Hamiltonian reduction technique, where both fast scales (cyclotron plus bounce motions) are gyro-averaged. V C 2015 AIP Publishing LLC.

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Global Gyrokinetic Stability of Temperature-Gradient-Driven Trapped Ion Modes with Magnetic Shear

Cited by 6 publications

References 34 publications

A gyro-kinetic model for trapped electron and ion modes

A gyro-kinetic model for trapped electron and ion modes

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

Shear-flow trapped-ion-mode interaction revisited. I. Influence of low-frequency zonal flow on ion-temperature-gradient driven turbulence

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