Closure of the single fluid magnetohydrodynamic equations in presence of electron cyclotron current drive
FOM Institute DIFFER, Dutch Institute for Fundamental Energy Research, 3430 BE Nieuwegein, The Netherlands
Published online: 12 March 2015
In the presence of electron cyclotron current drive (ECCD), the Ohm’s law of single fluid magnetohydrodynamics (MHD) is modified as E + v × B = η(J – JECCD). This paper presents a new closure relation for the EC driven current density appearing in this modified Ohm’s law. The new relation faithfully represents the nonlocal character of the EC driven current and its main origin in the Fisch-Boozer effect. The closure relation is validated on both an analytical solution of an approximated Fokker-Planck equation as well as on full bounce-averaged, quasi-linear Fokker-Planck code simulations of ECCD inside rotating magnetic islands.
© Owned by the authors, published by EDP Sciences, 2015
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.