Generalised ballooning theory of two-dimensional tokamak modes

@article{Abdoul2017GeneralisedBT,
  title={Generalised ballooning theory of two-dimensional tokamak modes},
  author={Peshwaz Abdoul and David Dickinson and Colin M. Roach and Howard Wilson},
  journal={Plasma Physics and Controlled Fusion},
  year={2017},
  volume={60}
}
In this work, using solutions from a local gyrokinetic flux-tube code combined with higher order ballooning theory, a new analytical approach is developed to reconstruct the global linear mode structure with associated global mode frequency. In addition to the isolated mode (IM), which usually peaks on the outboard mid-plane, the higher order ballooning theory has also captured other types of less unstable global modes: (a) the weakly asymmetric ballooning theory (WABT) predicts a mixed mode… 
3 Citations

The two-dimensional kinetic ballooning theory for trapped electron mode in tokamak

The two-dimensional (2D) kinetic theory for a collisionless trapped electron mode is developed based on the Fourier-ballooning transform in an up-down symmetric equilibrium (illustrated via

Global ITG eigenmodes: From ballooning angle and radial shift to Reynolds stress and nonlinear saturation

We present global linear and nonlinear simulations of ion temperature gradient instabilities based on a fluid formulation, with an adapted version of the JOREK code. These simulations are performed

Analysis of equilibrium and turbulent fluxes across the separatrix in a gyrokinetic simulation

The SOL width is a parameter of paramount importance in modern tokamaks as it controls the power density deposited at the divertor plates, critical for plasma-facing material survivability. An

References

SHOWING 1-10 OF 43 REFERENCES

Ballooning theory of the second kind-two dimensional tokamak modes

The 2-D ballooning transform, devised to study local high toroidal number (n) fluctuations in axisymmetric toroidal system (like tokamaks), yields a well-defined partial differential equation for the

Using a local gyrokinetic code to study global ion temperature gradient modes in tokamaks

In this paper the global eigenmode structures of linear ion temperature gradient (ITG) modes in tokamak plasmas are obtained using a novel technique which combines results from the local gyrokinetic

Structure of micro-instabilities in tokamak plasmas: Stiff transport or plasma eruptions?

Solutions to a model 2D eigenmode equation describing micro-instabilities in tokamak plasmas are presented that demonstrate a sensitivity of the mode structure and stability to plasma profiles. In

The unified ballooning theory with weak up-down asymmetric mode structure and the numerical studies

A unified ballooning theory, constructed on the basis of two special theories [Zhang et al., Phys. Fluids B 4, 2729 (1992); Y. Z. Zhang and T. Xie, Nucl. Fusion Plasma Phys. 33, 193 (2013)], shows

The response of toroidal drift modes to profile evolution: a model for small-ELMs in tokamak plasmas?

We consider a time-dependent linear global electrostatic toroidal fluid ion-temperature gradient (ITG) model to study the evolution of toroidal drift modes in tokamak plasmas as the equilibrium

Toroidal gyro‐Landau fluid model turbulence simulations in a nonlinear ballooning mode representation with radial modes

The method of Hammett and Perkins [Phys. Rev. Lett. 64, 3019 (1990)] to model Landau damping has been recently applied to the moments of the gyrokinetic equation with curvature drift by Waltz,

Two dimensional aspects of toroidal drift waves in the ballooning representation

By systematically doing the higher‐order theory, the predictions of the conventional ballooning theory (CBT) are examined for nonideal systems. For the complex solvability condition to be satisfied,

High mode number stability of an axisymmetric toroidal plasma

In the investigation of stability of a plasma confined by magnetic fields some of the most important modes of oscillation are those with long wavelength parallel to the magnetic field and short

Toroidal mode structure in weak and reversed magnetic shear plasmas and its role in the internal transport barrier

It is becoming clear that anomalous transport in an L-mode tokamak plasma is dominated by radially extended non-local modes in toroidal geometry. This indicates that various improved modes such as

Reynolds stress of localized toroidal modes

An investigation of the two‐dimensional (2‐D) toroidal eigenmode problem reveals the possibility of a new consistent 2‐D structure, the dissipative ballooning mode of the second kind (BM‐II). In