Speaker
George N. Throumoulopoulos
Description
See the full Abstract at http://ocs.ciemat.es/EPS2018ABS/pdf/P1.1048.pdf
45 EPS Conference on Plasma Physics 12914
Certain developments on the equilibrium of magnetized plasmas
G. N. Throumoulopoulos1*, A. Evangelias1, D. A. Kaltsas1, A. Kuiroukidis2,
3
P. J. Morrison , G. Poulipoulis1
1
Physics Department, University of Ioannina, GR 451 10 Ioannina, Greece
2
Technological Education Institute of Serres, GR 62124 Serres, Greece
3
Department of Physics and Institute for Fusion Studies, University of Texas, Austin,
Texas 78712, USA
*e-mail: gthroum@cc.uoi.gr
Recent results will be presented on steady states of magnetically confined plasmas
obtained by conventional and Hamiltonian methods. The presentation consists of three
parts. The first one concerns the derivation of a generalized Grad-Shafranov equation
describing helically symmetric equilibria with pressure anisotropy and incompressible
plasma flow of arbitrary direction with application to straight-stellarator configurations
[1]. The impact of pressure anisotropy and flow on the equilibrium characteristics is also
examined. In the second part the axisymmetric equilibrium code HELENA is extended
for pressure anisotropy and flow parallel to the magnetic field and ITER-pertinent
equilibria are constructed. In the third part the Hamiltonian formulation of helically
symmetric plasmas is established within the framework of extended MHD, a simplified
two-fluid model including Hall-ion and electron-inertia contributions [2,3]. Four families
of Casimir invariants are obtained and they are used to construct Energy-Casimir
variational principles for deriving generalized extended MHD equilibrium equations
with arbitrary flow. The system is then cast into the form of Grad-Shafranov-Bernoulli
equations. In addition, an example of an incompressible double-Beltrami equilibrium will
be presented in connection with a straight-stellarator configuration.
References:
1. A Evangelias, A Kuiroukidis and G N Throumoulopoulos, Plasma Phys.
Control. Fusion 60 025005, 12pp (2018).
2. D. A. Kaltsas, G. N. Throumoulopoulos and P. J. Morrison, Physics of Plasmas
24, 092504, 14pp (2017).
3. D. A. Kaltsas, G. N. Throumoulopoulos and P. J. Morrison, Helically symmetric
extended MHD: Hamiltonian formulation and equilibrium variational principles,
https://arxiv.org/abs/1801.10138, 16pp; submitted to J. Plasma Physics.
