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...
Main Authors: | , , , , , , |
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Format: | Journal article |
Language: | English |
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Institute of Physics Publishing
2014
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_version_ | 1826258740565770240 |
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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. |
first_indexed | 2024-03-06T18:38:45Z |
format | Journal article |
id | oxford-uuid:0c2dd014-30c5-409b-a080-1e11693d5053 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T18:38:45Z |
publishDate | 2014 |
publisher | Institute of Physics Publishing |
record_format | dspace |
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 |
work_keys_str_mv | AT ballj intrinsicmomentumtransportinupdownasymmetrictokamaks AT parraf intrinsicmomentumtransportinupdownasymmetrictokamaks AT barnesm intrinsicmomentumtransportinupdownasymmetrictokamaks AT dorlandw intrinsicmomentumtransportinupdownasymmetrictokamaks AT hammettg intrinsicmomentumtransportinupdownasymmetrictokamaks AT rodriguesp intrinsicmomentumtransportinupdownasymmetrictokamaks AT loureiron intrinsicmomentumtransportinupdownasymmetrictokamaks |