Numerical analysis of dissipative instabilities in toroidal plasma configurations with a noncircular cross-section

R. Grimm, R. Dewar, I. Manicam, ‘Relative instabilities in tokamak geometry,’ IAEA,111, 35–47 (1983). J. A. Holmes, B. A. Carreras, L. A. Charlton, and V. E. Lynch, ‘Nonlinear evolution of the internal bink mode in toroidal geometry for shaped tokamak plasmas,’ Phys. Fluids,31, 1202–1216 (1988). A. M. Popov, ‘Mathematical modeling of MHD instability of plasma,’ in: Numerical Methods of Solution of Inverse Problems of Mathematical Physics [in Russian], Izd. MGU, Moscow (1988), pp. 167–171. Yu. N. Dnestrovskii and D. P. Kostomarov, Mathematical Modeling of Plasma [in Russian], Nauka, Moscow (1982), pp. 137–141. L. E. Zakharov and V. D. Shafranov, ‘Equilibrium of a current-carrying plasma in toroidal systems,’ in: Problems of Plasma Theory [in Russian], No. 11, Énergoatomizdat, Moscow (1982), pp. 184–190. E. V. Il'ina, A. V. Pedorenko, and A. M. Popov, ‘A method for solving MHD problems for plasma with unconstrained magnetic Reynolds number,’ in: Numerical Methods of Solution of Inverse Problems of Mathematical Physics [in Russian], Izd. MGU, Moscow (1988), pp. 171–179.