Papers › Intrinsic momentum transport in up-down asymmetric tokamaks
Intrinsic momentum transport in up-down asymmetric tokamaks
Justin Ball, Felix I. Parra, Michael Barnes, William Dorland, Gregory W. Hammett, Paulo Rodrigues, Nuno F. Loureiro
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Recent work 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 δf 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 experiment in magnitude, suggest that a toroidal velocity gradient, (∂u_(ζi) / ∂ρ) / v_(th i), of 5% of the temperature gradient, (∂Tᵢ / ∂ρ) / Tᵢ, is sustainable. Here v_(th i) is the ion thermal speed, u_(ζi) is the ion toroidal mean flow, ρ is the minor radial coordinate normalized to the tokamak minor radius, and Tᵢ is the ion temperature. Since other intrinsic momentum transport mechanisms scale poorly to larger machines, these results indicate that up-down asymmetry is the most feasible method to generate the current experimentally-measured rotation levels in reactor-sized devices.
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