# A Singularity-Free Coordinate System for X-point Geometries

@inproceedings{Hariri2014ASC, title={A Singularity-Free Coordinate System for X-point Geometries}, author={Farah Hariri and Peter Hill and Maurizio Ottaviani and Yanick Sarazin}, year={2014} }

A Flux Coordinate Independent (FCI) approach for anisotropic systems, not based on magnetic flux coordinates has been introduced in [F. Hariri and M. Ottaviani, Comput. Phys. Commun., 184, 2419 (2013)]. In this paper, we show that the approach can tackle magnetic configurations including X-points. Using the code FENICIA, an equilibrium with a magnetic island has been used to show the robustness of the FCI approach to cases in which a magnetic separatrix is present in the system, either by…

## Figures from this paper

## 9 Citations

### GRILLIX: a 3D turbulence code based on the flux-coordinate independent approach

- Physics, Computer Science
- 2018

The results show that the FCI approach in general and GRILLIX in particular are viable approaches in order to tackle simulation of edge/SOL turbulence in diverted geometry.

### Coordinate transformation and construction of finite element mesh in a diverted tokamak geometry

- PhysicsContributions to Plasma Physics
- 2020

A coordinate transformation technique between straight magnetic field line coordinate system (Ψ, θ) and Cartesian coordinate system (R, Z) is presented employing a Solov'ev solution of the…

### Dirichlet boundary conditions for arbitrary-shaped boundaries in stellarator-like magnetic fields for the Flux-Coordinate Independent method

- PhysicsComput. Phys. Commun.
- 2017

### The field line map approach for simulations of magnetically confined plasmas

- PhysicsComput. Phys. Commun.
- 2016

### Three discontinuous Galerkin schemes for the anisotropic heat conduction equation on non-aligned grids

- Computer ScienceComput. Phys. Commun.
- 2016

### Verification of a magnetic island in gyro-kinetics by comparison with analytic theory

- Physics
- 2015

A rotating magnetic island is imposed in the gyrokinetic code GKW, when finite differences are used for the radial direction, in order to develop the predictions of analytic tearing mode theory and…

### The effect of magnetic islands on Ion Temperature Gradient turbulence driven transport

- Physics
- 2014

In this work, we address the question of the influence of magnetic islands on the perpendicular transport due to steady-state ITG turbulence on the energy transport time scale. We demonstrate that…

### Plasma turbulence simulations with X-points using the flux-coordinate independent approach

- Physics
- 2014

In this work, the flux-coordinate independent (FCI) approach to plasma turbulence simulations is formulated for the case of generic, static magnetic fields, including those possessing stochastic…

## References

SHOWING 1-10 OF 20 REFERENCES

### Fluid simulations of tokamak turbulence in quasiballooning coordinates.

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1993

A set of coordinates for simulations in toroidal magnetic geometry, called quasiballooning coordinates, is proposed and implemented, which allows the true periodicity conditions in the toroidal-poloidal plane to be satisfied in a straightforward and seamless way, even for sheared magnetic fields.

### A flux-coordinate independent field-aligned approach to plasma turbulence simulations

- Physics, Computer ScienceComput. Phys. Commun.
- 2013

### Shifted metric procedure for flux tube treatments of toroidal geometry: Avoiding grid deformation

- Physics
- 2001

Recent treatments of flute-mode-type turbulence in closed magnetic flux surface geometry align the coordinates to the magnetic field, leaving the field with one nonvanishing contravariant component.…

### Global consistency for thin flux tube treatments of toroidal geometry

- Physics
- 1998

In order to avoid a self-mapping problem due to a very long correlation length along a field line, present treatments of magnetized plasma turbulence in flux tube geometry often extend the…

### On the dynamics of vortex modes within magnetic islands

- Physics
- 2012

Recent work investigating the interaction of magnetic islands with micro-turbulence has uncovered the striking observation of large scale vortex modes forming within the island structure [W. A.…

### Nonlinear Magnetohydrodynamics

- Physics
- 1998

Nonlinear magnetohydrodynamics by Dieter Biskamp is a thorough introduction to the physics of the most impressive non-linear phenomena that occur in conducting magnetoplasmas. The basic systems, in…

### Magnetic island evolution in the presence of ion-temperature gradient-driven turbulence

- Physics
- 2013

Turbulence is known to drive and sustain magnetic islands of width equal to multiples of the Larmor radius. The nature of the drive is studied here by means of numerical simulations of a fluid…

### Field‐aligned coordinates for nonlinear simulations of tokamak turbulence

- Physics
- 1995

Turbulence in tokamaks is characterized by long parallel wavelengths and short perpendicular wavelengths. A coordinate system for nonlinear fluid, gyrokinetic ‘‘Vlasov,’’ or particle simulations is…

### Considerations of ion‐temperature‐gradient‐driven turbulence

- Physics, Environmental Science
- 1991

The ion‐temperature‐gradient‐driven instability is considered in this paper. Physical pictures are presented to clarify the nature of the instability. The saturation of a single eddy is modeled by a…