Intrinsic momentum transport in up-down asymmetric tokamaks

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...

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Main Authors: Ball, J, Parra, F, Barnes, M, Dorland, W, Hammett, G, Rodrigues, P, Loureiro, N
Format: Journal article
Language:English
Published: Institute of Physics Publishing 2014
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author Ball, J
Parra, F
Barnes, M
Dorland, W
Hammett, G
Rodrigues, P
Loureiro, N
author_facet Ball, J
Parra, F
Barnes, M
Dorland, W
Hammett, G
Rodrigues, P
Loureiro, N
author_sort Ball, J
collection OXFORD
description 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 $\delta f$ 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 experiment in magnitude, suggest that a toroidal velocity gradient, $(\partial u_{\zeta i} / \partial \rho) / v_{th i}$, of 5% of the temperature gradient, $(\partial T_{i} / \partial \rho) / T_{i}$, is sustainable. Here $v_{th i}$ is the ion thermal speed, $u_{\zeta i}$ is the ion toroidal mean flow, $\rho$ is the minor radial coordinate normalized to the tokamak minor radius, and $T_{i}$ 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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spelling oxford-uuid:0c2dd014-30c5-409b-a080-1e11693d50532022-03-26T09:33:32ZIntrinsic momentum transport in up-down asymmetric tokamaksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0c2dd014-30c5-409b-a080-1e11693d5053EnglishSymplectic Elements at OxfordInstitute of Physics Publishing2014Ball, JParra, FBarnes, MDorland, WHammett, GRodrigues, PLoureiro, NRecent 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 $\delta f$ 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 experiment in magnitude, suggest that a toroidal velocity gradient, $(\partial u_{\zeta i} / \partial \rho) / v_{th i}$, of 5% of the temperature gradient, $(\partial T_{i} / \partial \rho) / T_{i}$, is sustainable. Here $v_{th i}$ is the ion thermal speed, $u_{\zeta i}$ is the ion toroidal mean flow, $\rho$ is the minor radial coordinate normalized to the tokamak minor radius, and $T_{i}$ 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.
spellingShingle Ball, J
Parra, F
Barnes, M
Dorland, W
Hammett, G
Rodrigues, P
Loureiro, N
Intrinsic momentum transport in up-down asymmetric tokamaks
title Intrinsic momentum transport in up-down asymmetric tokamaks
title_full Intrinsic momentum transport in up-down asymmetric tokamaks
title_fullStr Intrinsic momentum transport in up-down asymmetric tokamaks
title_full_unstemmed Intrinsic momentum transport in up-down asymmetric tokamaks
title_short Intrinsic momentum transport in up-down asymmetric tokamaks
title_sort intrinsic momentum transport in up down asymmetric tokamaks
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AT rodriguesp intrinsicmomentumtransportinupdownasymmetrictokamaks
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