An alternative approach to field-aligned coordinates for plasma turbulence simulations

TL;DR

This paper introduces a novel magnetic coordinate approach for plasma turbulence simulations, utilizing toroidal angles for improved periodicity and Fourier space efficiency, with tests showing potential for broader turbulence insights.

Contribution

It presents a new method replacing poloidal with toroidal angles in magnetic coordinates, enabling Fourier space advantages and generalization to poloidal plane elimination.

Findings

Retains periodicity in both angles, facilitating Fourier space transformations.

Uncovers intermittent large parallel gradients in turbulence, challenging existing assumptions.

Demonstrates the method's effectiveness with the ETAI3D code comparison.

Abstract

Turbulence simulation codes can exploit the flute-like nature of plasma turbulence to reduce the effective number of degrees of freedom necessary to represent fluctuations. This can be achieved by employing magnetic coordinates of which one is aligned along the magnetic field. This work presents an approach in which the position along the field lines is identified by the toroidal angle, rather than the most commonly used poloidal angle. It will be shown that this approach has several advantages. Among these, periodicity in both angles is retained. This property allows moving to an equivalent representation in Fourier space with a reduced number of toroidal components. It will be shown how this duality can be exploited to transform conventional codes that use a spectral representation on the magnetic surface into codes with a field-aligned coordinate. It is also shown that the new approach can be generalised to get rid of magnetic coordinates in the poloidal plane altogether, for a large class of models. Tests are carried out by comparing the new approach with the conventional approach employing a uniform grid, for a basic ion temperature gradient (ITG) turbulence model implemented by the two corresponding versions of the ETAI3D code. These tests uncover an unexpected property of the model, that localized large parallel gradients can intermittently appear in the turbulent regime. This leaves open the question whether this is a general property of plasma turbulence, which may lead one to reconsider some of the usual assumptions on micro-turbulence dynamics.