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The reconstruction of the equilibrium of a plasma in a Tokamak is a free boundary problem described by the Grad-Shafranov equation in axisymmetric configuration. The right-hand side of this equation is a nonlinear source, which represents…

数值分析 · 数学 2011-03-18 Jacques Blum , Cedric Boulbe , Blaise Faugeras

Magnetic reconnection, breaking and reorganization of magnetic field topology, is a fundamental process for rapid release of magnetic energy into plasma particles that occurs pervasively throughout the universe. In most natural…

We present an analytical model of the self-consistent equilibrium of a magnetic flux rope which is obtained in cylindrical geometry. The equilibrium azimuthal magnetic field and plasma pressure are determined in a self-consistent way…

斑图形成与孤子 · 物理学 2024-02-19 Oleg K. Cheremnykh , Viktor Fedun , Volodymyr M. Lashkin

Exact solutions to the static equilibrium magnetohydrodynamic equations are presented and discussed for both axially and helically reduced systems. For both symmetries, physical restrictions on the solutions are discussed and it is seen…

等离子体物理 · 物理学 2022-03-30 Jason M. Keller , Alexei F. Cheviakov

Numerical modeling of the interaction process of two counter-streaming supersonic plasma flows with an arched magnetic field configuration in the regime of a magnetic Mach number of the order of unity $M_m \sim 1$ is carried out. The flows…

等离子体物理 · 物理学 2025-05-20 Artem V. Korzhimanov , Sergey A. Koryagin , Andrey D. Sladkov , Mikhail E. Viktorov

We propose a high-order adaptive numerical solver for the semilinear elliptic boundary value problem modelling magnetic plasma equilibrium in axisymmetric confinement devices. In the fixed boundary case, the equation is posed on curved…

计算物理 · 物理学 2021-05-28 Tonatiuh Sánchez-Vizuet , Manuel E. Solano , Antoine J. Cerfon

AIMS: We develop an optimization principle for computing stationary MHD equilibria. METHODS: Our code for the self-consistent computation of the coronal magnetic fields and the coronal plasma uses non-force-free MHD equilibria. Previous…

天体物理学 · 物理学 2008-11-26 Thomas Wiegelmann , Thomas Neukirch

Analytic solutions of the magnetohydrodynamic equilibrium equations for a cylindrically symmetric magnetically confined plasma with reversed magnetic shear, s < 0, and sheared flow are constructed by prescribing the safety factor-, poloidal…

等离子体物理 · 物理学 2007-05-23 G. Poulipoulis , G. N. Throumoulopoulos , H. Tasso

In toroidally confined plasmas, the Grad-Shafranov equation, in general a non-linear PDE, describes the hydromagnetic equilibrium of the system. This equation becomes linear when the kinetic pressure is proportional to the poloidal magnetic…

等离子体物理 · 物理学 2015-06-22 D. Ciro , I. L. Caldas

A local magnetic equilibrium model is presented, with finite aspect ratio and up-down asymmetrically shaped cross section, that depends on eight free parameters. In contrast with other local equilibria, which provide simple magnetic-surface…

等离子体物理 · 物理学 2018-08-22 Paulo Rodrigues , André Coroado

A representation of the static MHD equilibrium system in coordinates connected with magnetic surfaces is suggested. It is used for producing families of non-trivial 3D exact solutions of isotropic and anisotropic plasma equilibria in…

数学物理 · 物理学 2007-05-23 Alexei F. Cheviakov

Axisymmetric relaxed states of a cylindrical plasma column are found analytically in both standard and Hall magnetohydrodynamics (MHD) by complete minimization of energy with constraints imposed by invariants inherent in corresponding…

等离子体物理 · 物理学 2012-11-09 I. V. Khalzov , F. Ebrahimi , D. D. Schnack , V. V. Mirnov

Uncertainties and errors in magnetic equilibrium reconstructions are a wide-spread problem in interpreting experimental data measured in the tokamak edge. This study demonstrates errors in EFIT++ reconstructions performed on the COMPASS…

等离子体物理 · 物理学 2020-01-29 K. Jirakova , O. Kovanda , J. Adamek , M. Komm , J. Seidl

In this work we describe a numerical optimization method for computing stationary MHD-equilibria. The newly developed code is based on a nonlinear force-free optimization principle. We apply our code to model the solar corona using synoptic…

太阳与恒星天体物理 · 物理学 2020-11-11 Thomas Wiegelmann , Thomas Neukirch , Dieter H. Nickeler , Iulia Chifu

In axisymmetric fusion reactors, the equilibrium magnetic configuration can be expressed in terms of the solution to a semi-linear elliptic equation known as the Grad-Shafranov equation, the solution of which determines the poloidal…

计算物理 · 物理学 2019-03-07 Tonatiuh Sánchez-Vizuet , Manuel Solano

Relativistic magnetic reconnection studies have focused on symmetric configurations so far, where the upstream plasma has identical properties on each side of the layer. The boundary layer between a relativistic jet and an accretion flow…

高能天体物理现象 · 物理学 2024-09-23 Enzo Figueiredo , Benoît Cerutti , John Mehlhaff , Nicolas Scepi

Context: The majority of studies on stressed 3D magnetic null points consider magnetic reconnection driven by an external perturbation, but the formation of a genuine current sheet equilibrium remains poorly understood. This problem has…

太阳与恒星天体物理 · 物理学 2012-09-07 Jorge Fuentes-Fernandez , Clare E. Parnell

Aims. Linear magnetohydrostatic (MHS) models of solar magnetic fields balance plasma pressure gradients, gravity and Lorentz forces where the current density is composed of a linear force-free component and a cross-field component that…

太阳与恒星天体物理 · 物理学 2013-07-26 David MacTaggart , Abdulaziz Elsheikh , James McLaughlin , Radostin Simitev

A novel plasma state has been found in the presence of a uniform applied axial magnetic field in periodic cylindrical geometry. This state is driven electrostatically by helical electrodes, providing a driving field that depends on radius…

等离子体物理 · 物理学 2017-08-15 Cihan Akçay , John M. Finn , Richard A. Nebel , Daniel C. Barnes

We develop an approach of Grad-Shafranov (GS) reconstruction for toroidal structures in space plasmas, based on in-situ spacecraft measurements. The underlying theory is the GS equation that describes two-dimensional magnetohydrostatic…

太阳与恒星天体物理 · 物理学 2017-08-30 Qiang Hu