Intrinsic momentum transport in up–down asymmetric tokamaks

Recent work has demonstrated that breaking the up–down symmetry of tokamak flux surfaces removes a constraint that limits intrinsic momentum transport, and hence toroidal rotation, to be small. We show, through MHD analysis, that ellipticity is most effective at introducing up–down asymmetry throughout the plasma. We detail an extension to GS2, a local δ f gyrokinetic code that self-consistently calculates momentum transport, to permit up–down asymmetric configurations. Tokamaks with tilted elliptical poloidal cross-sections were simulated to determine nonlinear momentum transport. The results, which are consistent with the experiment in magnitude, suggest that a toroidal velocity gradient, (∂ u ζ i /∂ ρ )/ v thi , of 5% of the temperature gradient, (∂ T i /∂ ρ )/ T i , is sustainable. Here v thi is the ion thermal speed, u ζ i is the ion toroidal mean flow, ρ is the minor radial coordinate normalized to the tokamak minor radius, and T i is the ion temperature. Though other known core intrinsic momentum transport mechanisms scale poorly to larger machines, these results indicate that up–down asymmetry may be a feasible method to generate the current experimentally measured rotation levels in reactor-sized devices.