Publication:
Numerical Investigations of the Dynamics of Development of Two-Dimensional Perturbations in Magnetic Galathea Traps

Дата
2022
Journal Title
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Издатель
Научные группы
Организационные подразделения
Организационная единица
Институт лазерных и плазменных технологий
Стратегическая цель Института ЛаПлаз – стать ведущей научной школой и ядром развития инноваций по лазерным, плазменным, радиационным и ускорительным технологиям, с уникальными образовательными программами, востребованными на российском и мировом рынке образовательных услуг.
Выпуск журнала
Аннотация
Abstract: Studying the stability of traps for magnetic plasma confinement is one of the main tasks in solving the problem of controlled thermonuclear fusion. The main trends and qualitative and quantitative patterns in this matter can be obtained in terms of mathematical modeling and computational experiment. The object of simulation in this paper is magnetoplasma configurations in a Galathea-belt toroidal trap straightened into a cylinder; these configurations are brought out of equilibrium by small perturbations. The mathematical apparatus of the study consists of problems with two-dimensional time-varying differential equations of magnetohydrodynamics for perturbations of the main parameters of the plasma and magnetic field obtained in a linear approximation. In a series of calculations with various initial data, the picture of the development of disturbances over time is studied and its main laws are described. A limit is obtained for the maximum plasma pressure, expressed in dimensionless units, within which perturbations do not grow with time, i.e., the stability of the configurations discussed is preserved.
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Цитирование
Brushlinskii, K. V. Numerical Investigations of the Dynamics of Development of Two-Dimensional Perturbations in Magnetic Galathea Traps / Brushlinskii, K.V., Stepin, E.V. // Differential Equations. - 2022. - 58. - № 8. - P. 1105-1113. - 10.1134/S0012266122080110
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