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A low-frequency variational model for energetic particle effects in the pressure-coupling scheme

Close, Alex, Burby, Joshua W and Tronci, Cesare (2018) A low-frequency variational model for energetic particle effects in the pressure-coupling scheme Journal of Plasma Physics, 84 (4), 905840401.

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Abstract

Energetic particle effects in magnetic confinement fusion dev ices are commonly studied by hybrid kinetic-fluid simulation codes whose unde rlying continuum evolu- tion equations often lack the correct energy balance. While two different kinetic-fluid coupling options are available (current-coupling and pres sure-coupling), this paper applies the Euler-Poincar ́e variational approach to formu late a new conservative hybrid model in the pressure-coupling scheme. In our case th e kinetics of the en- ergetic particles are described by guiding center theory. T he interplay between the Lagrangian fluid paths with phase space particle trajectori es reflects an intricate variational structure which can be approached by letting th e 4-dimensional guiding center trajectories evolve in the full 6-dimensional phase space. Then, the redundant perpendicular velocity is integrated out to recover a four- dimensional description. A second equivalent variational approach is also reported, which involves the use of phase space Lagrangians. Not only do these variational st ructures confer on the new model a correct energy balance, but also they produce a cr oss-helicity invariant which is lost in the other pressure-coupling schemes report ed in the literature.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Close, Alexa.close@surrey.ac.uk
Burby, Joshua W
Tronci, Cesarec.tronci@surrey.ac.uk
Date : 3 July 2018
Funders : EPSRC; Leverhulme Trust
DOI : 10.1017/S0022377818000697
Copyright Disclaimer : Copyright 2018 Cambridge University Press
Depositing User : Melanie Hughes
Date Deposited : 19 Jul 2018 09:45
Last Modified : 11 Dec 2018 11:24
URI: http://epubs.surrey.ac.uk/id/eprint/848751

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