Elimination of MHD current sheets by modifications to the plasma wall in a fixed boundary model

TL;DR

This paper investigates how modifying the plasma boundary in a fixed boundary model can eliminate singular current sheets caused by resonant flux surfaces, potentially improving stability in fusion devices.

Contribution

It introduces iterative boundary modification procedures to remove weak current sheets at resonant flux surfaces in MHD equilibrium models.

Findings

Iterative procedures effectively eliminate weak current sheets.

Modifications can improve stability and transport in fusion device designs.

Approach applicable to fixed boundary MHD models.

Abstract

Models of magnetohydrodynamic (MHD) equilibia that for computational convenience assume the existence of a system of nested magnetic flux surfaces tend to exhibit singular current sheets. These sheets are located on resonant flux surfaces that are associated with rational values of the rotational transform. We study the possibility of eliminating these singularities by suitable modifications of the plasma boundary, which we prescribe in a fixed boundary setting. We find that relatively straightforward iterative procedures can be used to eliminate weak current sheets that are generated at resonant flux surfaces by the nonlinear interactions of resonating wall harmonics. These types of procedures may prove useful in the design of fusion devices with configurations that enjoy improved stability and transport properties.