Subcritical turbulence in the Mega Ampere Spherical Tokamak

Thesis

The transport of heat out of tokamak plasmas by turbulence is the dominant mechanism limiting the performance of fusion reactors. Turbulence can be driven by the ion temperature gradient (ITG) and suppressed by toroidal equilibrium scale sheared flows. Numerical simulations attempting to understand, and ultimately reduce, turbulence are crucial for guiding the design and optimisation of future reactors.

In this thesis, we investigate ion-scale turbulence by means of local gyrokinetic simulations in the outer core of the Mega Ampere Spherical Tokamak (MAST).We perform a parameter scan in the values of the ITG and the flow shear. We show that nonlinear simulations reproduce the experimental ion heat flux and that the experimentally measured values of the ITG and the flow shear lie close to the turbulence threshold. We demonstrate that the system is subcritical in the presence of flow shear, i.e., the system is formally stable to small perturbations, but transitions to a turbulent state given a large enough initial perturbation. We propose a scenario for the transition to subcritical turbulence previously unreported in tokamak plasmas: close to the threshold, the plasma is dominated by a low number of coherent long-lived structures; as the system is taken away from the threshold into the more unstable regime, the number of these structures increases until they fill the domain and a more conventional turbulence emerges.

We make quantitative comparisons of correlation properties between our simulations and experimental measurements of ion-scale density fluctuations from the MAST BES diagnostic. We apply a synthetic diagnostic to our simulation data and find reasonable agreement of the correlation properties of the simulated and experimental turbulence, most notably of the correlation time, for which significant discrepancies were found in previous numerical studies of MAST turbulence. We show that the properties of turbulence are essentially functions of the distance to threshold, as quantified by the ion heat flux. We find that turbulence close to the threshold is strongly affected by flow shear, whereas far from threshold, the turbulence resembles a conventional ITG-driven, zonal-flow damped regime.

Authors: van Wyk, F

• DOI: 10.5287/ora-w4jnojqgp
• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford
• Language: English
• Keywords: flow shear; turbulence; ion temperature gradient; fusion; plasma; subcritical
• Subjects: Subcritical Turbulence; Fusion; Plasma Physics