Weak turbulence theory and simulation of the gyro-water-bag model.

@article{Besse2008WeakTT,
  title={Weak turbulence theory and simulation of the gyro-water-bag model.},
  author={Nicolas Besse and Pierre Bertrand and P Morel and E. Gravier},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2008},
  volume={77 5 Pt 2},
  pages={
          056410
        }
}
The thermal confinement time of a magnetized fusion plasma is essentially determined by turbulent heat conduction across the equilibrium magnetic field. To achieve the study of turbulent thermal diffusivities, Vlasov gyrokinetic description of the magnetically confined plasmas is now commonly adopted, and offers the advantage over fluid models (MHD, gyrofluid) to take into account nonlinear resonant wave-particle interactions which may impact significantly the predicted turbulent transport… Expand
Gyrokinetic water-bag modeling of a plasma column: Magnetic moment distribution and finite Larmor radius effects
Describing turbulent transport in fusion plasmas is a major concern in magnetic confinement fusion. It is now widely known that kinetic and fluid descriptions can lead to significantly differentExpand
Gyrokinetic-water-bag modeling of low-frequency instabilities in a laboratory magnetized plasma column
A new model is presented, named collisional-gyro-water-bag (CGWB), which describes the collisional drift waves and ion-temperature-gradient (ITG) instabilities in a plasma column. This model is basedExpand
GLOBAL WEAK SOLUTIONS FOR THE RELATIVISTIC WATERBAG CONTINUUM
In this paper we consider the relativistic waterbag continuum which is a useful PDE for collisionless kinetic plasma modeling recently developed in Ref. 11. The waterbag representation of theExpand
The multi-water-bag equations for collisionless kinetic modeling
In this paper we consider the multi-water-bag model for collisionless kinetic equations. The multi-water-bag representation of the statistical distribution function of particles can be viewed as aExpand
On the Cauchy problem for the gyro-water-bag model
In this paper we prove the existence and uniqueness of classical solution for a system of PDEs recently developed in Refs. 60, 8, 10 and 11 to modelize the nonlinear gyrokinetic turbulence inExpand
A Multi Water Bag model of drift kinetic electron plasma
AbstractA Multi Water Bag model is proposed for describing drift kinetic plasmas in a magnetized cylindrical geometry, relevant for various experimental devices, solar wind modeling... The MultiExpand
Water bag modeling of a multispecies plasma
We report in the present paper a new modeling method to study multiple species dynamics in magnetized plasmas. Such a method is based on the gyrowater bag modeling, which consists in using aExpand
The gyrokinetic water-bag modeling in toroidal geometry
Abstract The present paper addresses the gyrokinetic water-bag model in toroidal geometry. The previous works were focused on the water-bag concept in magnetized cylindrical plasmas. Here we reportExpand
Discontinuous Galerkin finite element methods for the gyrokinetic-waterbag equations
In this article, we design and analyse discontinuous Galerkin methods for approximating the gyrokineticwaterbag equations in a cylindrical geometry. This model, which attempts to describe turbulentExpand
On the Waterbag Continuum
The aim of this paper is to study the existence of a classical solution for the waterbag model with a continuum of waterbags, which can been viewed as an infinite dimensional system of first-orderExpand
...
1
2
...

References

SHOWING 1-10 OF 73 REFERENCES
Gyrokinetic modeling: A multi-water-bag approach
Predicting turbulent transport in nearly collisionless fusion plasmas requires one to solve kinetic (or, more precisely, gyrokinetic) equations. In spite of considerable progress, several pendingExpand
The water bag model and gyrokinetic applications
Predicting turbulent transport in nearly collisionless fusion plasmas requires to solve kinetic (or more precisely gyrokinetic) equations. In spite of considerable progress, several pending issuesExpand
Global gyrokinetic simulation of ion temperature gradient driven turbulence in plasmas using a canonical Maxwellian distribution
A new gyrokinetic toroidal particle code has been developed to study the ion temperature gradient (ITG) driven turbulence in reactor relevant tokamak parameters. We use a new method based on aExpand
Kinetic features of interchange turbulence
Non-linear gyrokinetic simulations of the interchange instability are discussed. The semi-Lagrangian numerical scheme allows one to address two critical points achieved with simulations lastingExpand
Gyrofluid turbulence models with kinetic effects
Nonlinear gyrofluid equations are derived by taking moments of the nonlinear, electrostatic gyrokinetic equation. The principal model presented includes evolution equations for the guiding center n,Expand
Fluctuation-induced heat transport results from a large global 3D toroidal particle simulation model
Turbulent transport simulation results from a large nonlinear three-dimensional (3D) toroidal electrostatic gyrokinetic particle-in-cell simulation model, including global equilibrium effects, areExpand
Stability of E×B zonal flow in electron temperature gradient driven turbulence
The electron temperature gradient driven turbulence in a slab configuration modeling the negative shear tokamak is studied using a gyrokinetic finite element particle-in-cell code. It is found thatExpand
A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation
TLDR
The Gyrokinetic SEmi-LAgragian (GYSELA) code, which solves 4D drift-kinetic equations for ion temperature gradient driven turbulence in a cylinder, is found to be stable over long simulation times, including for cases with a high resolution mesh. Expand
Gyrokinetic simulation of ion temperature gradient driven turbulence in 3D toroidal geometry.
TLDR
Results from a fully nonlinear three dimensional toroidal electrostatic gyrokinetic simulation of the ion temperature gradient instability are presented, where a coherent ballooning eigenmode is observed and the mode is radially elongated. Expand
Foundations of Nonlinear Gyrokinetic Theory
Nonlinear gyrokinetic equations play a fundamental role in our understanding of the long-time behavior of strongly magnetized plasmas. The foundations of modern nonlinear gyrokinetic the- ory areExpand
...
1
2
3
4
5
...