Turbulent momentum transport due to the beating between different tokamak flux surface shaping effects

Introducing up–down asymmetry into the tokamak magnetic equilibria appears to be a feasible method to drive fast intrinsic toroidal rotation in future large devices. In this paper we investigate how the intrinsic momentum transport generated by up–down asymmetric shaping scales with the mode number...

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Main Authors: Ball, J, Parra Diaz, F
Format: Journal article
Published: IOP Publishing 2017
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author Ball, J
Parra Diaz, F
author_facet Ball, J
Parra Diaz, F
author_sort Ball, J
collection OXFORD
description Introducing up–down asymmetry into the tokamak magnetic equilibria appears to be a feasible method to drive fast intrinsic toroidal rotation in future large devices. In this paper we investigate how the intrinsic momentum transport generated by up–down asymmetric shaping scales with the mode number of the shaping effects. Making use the gyrokinetic tilting symmetry (Ball et al 2016 Plasma Phys. Control. Fusion 58 045023), we study the effect of envelopes created by the beating of different high-order shaping effects. This reveals that the presence of an envelope can change the scaling of the momentum flux from exponentially small in the limit of large shaping mode number to just polynomially small. This enhancement of the momentum transport requires the envelope to be both up–down asymmetric and have a spatial scale on the order of the minor radius.
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spelling oxford-uuid:4304177d-deb3-44e9-a664-75485975ad832022-03-26T14:52:53ZTurbulent momentum transport due to the beating between different tokamak flux surface shaping effectsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4304177d-deb3-44e9-a664-75485975ad83Symplectic Elements at OxfordIOP Publishing2017Ball, JParra Diaz, FIntroducing up–down asymmetry into the tokamak magnetic equilibria appears to be a feasible method to drive fast intrinsic toroidal rotation in future large devices. In this paper we investigate how the intrinsic momentum transport generated by up–down asymmetric shaping scales with the mode number of the shaping effects. Making use the gyrokinetic tilting symmetry (Ball et al 2016 Plasma Phys. Control. Fusion 58 045023), we study the effect of envelopes created by the beating of different high-order shaping effects. This reveals that the presence of an envelope can change the scaling of the momentum flux from exponentially small in the limit of large shaping mode number to just polynomially small. This enhancement of the momentum transport requires the envelope to be both up–down asymmetric and have a spatial scale on the order of the minor radius.
spellingShingle Ball, J
Parra Diaz, F
Turbulent momentum transport due to the beating between different tokamak flux surface shaping effects
title Turbulent momentum transport due to the beating between different tokamak flux surface shaping effects
title_full Turbulent momentum transport due to the beating between different tokamak flux surface shaping effects
title_fullStr Turbulent momentum transport due to the beating between different tokamak flux surface shaping effects
title_full_unstemmed Turbulent momentum transport due to the beating between different tokamak flux surface shaping effects
title_short Turbulent momentum transport due to the beating between different tokamak flux surface shaping effects
title_sort turbulent momentum transport due to the beating between different tokamak flux surface shaping effects
work_keys_str_mv AT ballj turbulentmomentumtransportduetothebeatingbetweendifferenttokamakfluxsurfaceshapingeffects
AT parradiazf turbulentmomentumtransportduetothebeatingbetweendifferenttokamakfluxsurfaceshapingeffects