TY - JOUR

T1 - Two-dimensional MHD equilibria of diamagnetic bubble in gas-dynamic trap

AU - Khristo, M. S.

AU - Beklemishev, A. D.

N1 - Funding Information: The authors would like to express their gratitude to Igor Kotelnikov, Dmitry Yakovlev and Ivan Chernoshtanov for useful discussions and helpful suggestions. This work was supported by the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: © 2022 IOP Publishing Ltd.

PY - 2022/9

Y1 - 2022/9

N2 - This article presents a magnetohydrodynamic (MHD) two-dimensional numerical model of diamagnetic bubble equilibria in an axisymmetric open trap. The theoretical model consists of the Grad-Shafranov equilibrium equation and the transport equation obtained within the resistive single-fluid MHDs with isotropic pressure. Found are the numerical solutions corresponding to the diamagnetic confinement mode. In particular, the equilibria of the diamagnetic bubble in the gas-dynamic multimirror trap are calculated. We investigate the effect of magnetic field corrugation on the equilibrium; the corrugation of the vacuum field is shown to lead to a rather moderate corrugation of the bubble boundary if the period of corrugation is sufficiently small. A valuable numerical result is the distribution of the diamagnetic field, which would be useful for optimizing the position of the wall-stabilization plates.

AB - This article presents a magnetohydrodynamic (MHD) two-dimensional numerical model of diamagnetic bubble equilibria in an axisymmetric open trap. The theoretical model consists of the Grad-Shafranov equilibrium equation and the transport equation obtained within the resistive single-fluid MHDs with isotropic pressure. Found are the numerical solutions corresponding to the diamagnetic confinement mode. In particular, the equilibria of the diamagnetic bubble in the gas-dynamic multimirror trap are calculated. We investigate the effect of magnetic field corrugation on the equilibrium; the corrugation of the vacuum field is shown to lead to a rather moderate corrugation of the bubble boundary if the period of corrugation is sufficiently small. A valuable numerical result is the distribution of the diamagnetic field, which would be useful for optimizing the position of the wall-stabilization plates.

KW - diamagnetic confinement

KW - gas-dynamic trap

KW - high-beta plasma

KW - numerical simulation

KW - plasma equilibrium

KW - plasma transport

UR - http://www.scopus.com/inward/record.url?scp=85136733155&partnerID=8YFLogxK

U2 - 10.1088/1361-6587/ac8616

DO - 10.1088/1361-6587/ac8616

M3 - Article

AN - SCOPUS:85136733155

VL - 64

JO - Plasma Physics and Controlled Fusion

JF - Plasma Physics and Controlled Fusion

SN - 0741-3335

IS - 9

M1 - 095019

ER -