SIMULATION OF THERMONUCLEAR PLASMA INSTABILITIES USING THREE-DIMENSIONAL NONLINEAR CODE NFTC
( Pp. 9-15)

The work is directed to description of nonlinear three-dimensional numerical MHD code NFTC for investigation of thermonuclear plasma in Tokamak devices. The statement of problem is suggested on the base of neoclassical equations of nonlinear model. The excitation of instabilities are discussed. The approaches for resolving of the instabilities problems solution is presented. Numerical methods for resolving of plasma instabilities and the accuracy of solutions are determined. The examples of instability calculations are presented for international thermonuclear device ITER. The work is directed to description of nonlinear three-dimensional numerical MHD code NFTC for investigation of thermonuclear plasma in Tokamak devices. The statement of problem is suggested on the base of neoclassical equations of nonlinear magnetohy - drodynamics model.

Popov A.M., (2018), SIMULATION OF THERMONUCLEAR PLASMA INSTABILITIES USING THREE-DIMENSIONAL NONLINEAR CODE NFTC. Computational Nanotechnology, 1 => 9-15.

ITERCommunications iter.org https://www.iter.org/doc/www/ content/com/Lists/list items/Attachments/764/Progress in Pictures Dec2017.pdf (doc iter.org).
SHafranov V.D. Voprosy teorii plazmy // Gosatom. Vyp. 2, 1963. S. 92-130.
Kadomtsev B.B. Fizika plazmy i problema upravlyaemykh termo yadernykh reaktsiy. - T. 1. M.: Izd-vo AN SSSR, 1958. S. 353.
Kadomtsev B.B. Kollektivnye yavleniya v plazme. M.: Nauka, gl. red. fiz.-mat. lit. 1988. 304 s.
Furth H.P., Rutherford P.H. and Selberg H. Phys. Fluids, 16, 1054 (1973).
Glasser A.H., Greene J.M., Johnson J. Resistive instabilities in general toroidal plasma configurations // The Physics of Fluids. 18, 1975. Rp. 875-888.
Dnestrovskiy YU.N., Kostomarov D.P., Popov A.M. Vintovaya neustoychivost plazmy s raspredelennym tokom // ZHurnal tekhnicheskoy fiziki. T. 42, № 2, 1972. S. 1825-1832.
Carreras B.H. et al. Phys. Fluids, 23, 1811 (1980).
Dnestrovskiy YU.N., Kostomarov D.P. Matematicheskoe modelirovanie plazmy. M.:. Nauka, gl. red. fiz.-mat. lit., 1982. 320 s.
Popov A.M., Shagirov E.A. MHD-models for stability analysis of in ternal modes in a tokamak // Mathematical Modeling of Kinetic and MHD-Processes in Plasma. 1979. Rp. 55-78.
Dnestrovskiy YU.N., Kostomarov D.P., Popov A.M, SHagirov E.A. Nelineynoe razvitie vneshnikh mod v tokamake v rezhimakh s malym // Fizika plazmy AN SSSR. T. 2, № 9, 1985. S. 1080-1088. q
Il ina E.V., Pedorenko A.V., Popov A.M. CHislennoe modelirovanie ustoychivosti tiring-mod v toroidal noy plazme // Fizika plazmy. T. 15, 1989. S. 926-933.
Nefedov V.V., Popov A.M. Usloviya evolyutsionnosti v zadache o bifurkatsii plazmennogo tsilindra // Matematicheskoe modelirovanie. T. 2, № 2, 1990. S. 73-85.
Il ina E.V., Pedorenko A.V., Popov A.M. Modelirovanie MGD-neutoychivostey slabodissipativnoy plazmy v tokamake // Matematicheskoe modelirovanie AN SSSR. T. 2, № 2, 1990. S. 86-97.
Liu Yu., Pedorenko A.V., Popova N.N., Popov A.M., Turnbull A.D., La Haye and Jensen T.H.R.J. Nonlinear MHD simulations of DIII-D experiments on plasma rotation control with external helical mag netic fields 37 annual meeting of the division of plasma physics of APS. 1995. Rp. 6-15.
Popov A.M., Chan V.S., Chu M.S., Liu Y.Q., Turnbull A.D. Nonlinear three-dimensional self-consistent simulations of negative central shear discharges in the DIII-D tokamak // J. Physics of Plasmas. 8, 3605, 2001.
Popov A.M., Haye R.J.La, Murakami M., Liu Y.Q., Popova N.N., Turnbull A.D. Simulation of Neoclassical Tearing Modes (NTMs) in the DIII-D Tokamak. Part I - NTM Excitation // J. Physics of Plas mas. V. 9, № 10, 2003. Rr. 4205-4228.
Popov A.M., Haye R.J.La, Murakami M., Liu Y.Q., Popova N.N., Turnbull A.D. Simulation of Neoclassical Tearing Modes (NTMs) in the DIII-D Tokamak. Part II - Suppression by radially localized elec tron cyclotron current drive // Physics of Plasmas. V. 9, 10, 2003. Rr. 4229-4240.
Popov A.M. Nonlinear 3D MHD code NFTC for simulations of plas ma instabilities // Journal of Plasma Physics. Cambridge Press. V. 72, part 6, 2006. Rp. 1101-1104.
Sovinec C. An Introduction to the NIMROD Fusion Magnetohydrody namics Simulation Project. Department of Engineering Physics Uni versity of Wisconsin-Madison presented at Argonne National Labo ratory November 21, 2002 The project has been a multi-institutional effort since 1996. Univ. of WI

mathematical modeling, nonlinear MHD equations, plasma instability, thermonuclear devices, mathematical modeling, nonlinear MHD equations, plasma instability, thermonuclear devices.