Optimisation of gyrokinetic microstability using adjoint methods

Journal article

Microinstabilities drive turbulent fluctuations in inhomogeneous, magnetised plasmas. In the context of magnetic confinement fusion devices, this leads to an enhanced transport of particles, momentum and energy, thereby degrading confinement. In this work, we describe an application of the adjoint method to efficiently determine variations of gyrokinetic linear growth rates on a general set of external parameters in the local δf-gyrokinetic model. We then offer numerical verification of this approach. When coupled with gradient-based techniques, this methodology can facilitate the optimisation process for the microstability of the confined plasmas across a high-dimensional parameter space. We present a numerical demonstration wherein the ion-temperature-gradient instability growth rate in a tokamak plasma is minimised with respect to flux surface shaping parameters. The adjoint method approach demonstrates a significant computational speed-up compared with a finite-difference gradient calculation.

Authors: Acton, GO; Barnes, M; Newton, S; Thienpondt, H

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Cambridge University Press
• Journal: Journal of Plasma Physics
• Volume: 90
• Issue: 4
• Article number: 905900406
• Publication date: 2024-09-23
• Acceptance date: 2024-05-13
• DOI: 10.1017/s0022377824000709
• EISSN: 1469-7807
• ISSN: 0022-3778
• Language: English
• Keywords: plasma instabilities; fusion plasma; plasma confinement