Suppression of turbulence at low power input in a model for plasma confinement transitions

Ball, Rowena

doi:10.1063/1.2034327

Cited by 4 publications

(3 citation statements)

References 14 publications

(13 reference statements)

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“…However, the tradeoff with such highly coarsegrained modeling is that it necessarily whites out information, and may therefore miss important physics and predict unphysical singular behavior [15]. Thus we require validation of the low-dimensional modeling results by computational simulations of finer models.…”

Section: Introductionmentioning

confidence: 99%

“…The simplest approach that captures the essential physics underlying the problem is lowdimensional dynamical modeling and analysis [13,14,15,16], which can provide a very economical tool to predict the transition. However, the tradeoff with such highly coarsegrained modeling is that it necessarily whites out information, and may therefore miss important physics and predict unphysical singular behavior [15].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bifurcation in electrostatic resistive drift wave turbulence

Numata¹,

Ball²,

Dewar³

2007

Physics of Plasmas

103

173

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The Hasegawa-Wakatani equations, coupling plasma density and electrostatic potential through an approximation to the physics of parallel electron motions, are a simple model that describes resistive drift wave turbulence. We present numerical analyses of bifurcation phenomena in the model that provide new insights into the interactions between turbulence and zonal flows in the tokamak plasma edge region. The simulation results show a regime where, after an initial transient, drift wave turbulence is suppressed through zonal flow generation. As a parameter controlling the strength of the turbulence is tuned, this zonal flow dominated state is rapidly destroyed and a turbulence-dominated state re-emerges. The transition is explained in terms of the KelvinHelmholtz stability of zonal flows. This is the first observation of an upshift of turbulence onset in the resistive drift wave system, which is analogous to the well-known Dimits shift in turbulence driven by ion temperature gradients. * Electronic address: ryusuke.numata@anu.edu.au

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bifurcation in electrostatic resistive drift wave turbulence

Numata¹,

Ball²,

Dewar³

2007

Physics of Plasmas

103

173

View full text Add to dashboard Cite

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“…The creation of an edge transport barrier formed by a sheared zonal flow is closely related to the L-H transition 3 . Ordinary differential equation (ODE) models for the L-H transition are based on the predator-prey relationship between zonal flow and turbulent flow, and incorporate a potential energy related to the pressure profile as an additional state variable [4][5][6][7][8][9][10][11][12] . Miki et al 13 and Wu et al 14 have both suggested 1D partial differential equation (PDE) models for the L-H transition based on this predator-prey relationship.…”

Section: Introductionmentioning

confidence: 99%

Sparse identification of a predator-prey system from simulation data of a convection model

et al. 2017

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The use of low-dimensional dynamical systems as reduced models for plasma dynamics is useful as solving an initial value problem requires much less computational resources than fluid simulations. We utilize a data-driven modeling approach to identify a reduced model from simulation data of a convection problem. A convection model with a pressure source centered at the inner boundary models the edge dynamics of a magnetically confined plasma. The convection problem undergoes a sequence of bifurcations as the strength of the pressure source increases. The time evolution of the energies of the pressure profile, the turbulent flow, and the zonal flow capture the fundamental dynamic behavior of the full system. By applying the Sparse Identification of Nonlinear Dynamics (SINDy) method we identify a predator-prey type dynamical system that approximates the underlying dynamics of the three energy state variables. A bifurcation analysis of the system reveals consistency between the bifurcation structures, observed for the simulation data, and the identified underlying system.

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Existence theorem and global asymptotical stability for low-dimensional dynamical models of plasma turbulence

Kondo

Numata

2020

Journal of Mathematical Physics

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Sugama–Horton and Ball–Dewar models are low-dimensional dynamical models that treat interactions between turbulence and emerging global structures from turbulence. These models also demonstrate the transition from low- to high-confinement states of fusion plasmas. We prove global existence theorems and global asymptotical stability of the L-mode solutions of the Sugama–Horton and Ball–Dewar models using the Lyapunov method.

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Suppression of turbulence at low power input in a model for plasma confinement transitions

Cited by 4 publications

References 14 publications

Bifurcation in electrostatic resistive drift wave turbulence

Bifurcation in electrostatic resistive drift wave turbulence

Sparse identification of a predator-prey system from simulation data of a convection model

Existence theorem and global asymptotical stability for low-dimensional dynamical models of plasma turbulence

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