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Recent results will be presented on steady states of magnetically confined plasmas obtained by conventional and Hamiltonian methods. The presentation consists of three parts. The first one concerns the derivation of a generalized…

We have developed a new global eigenvalue code, Multiscale Analysis for plasma Stabilities (MAS), for studying plasma problems with wave toroidal mode number n and frequency omega in a broad range of interest in general tokamak geometry,…

Plasma Physics · Physics 2023-06-14 Jian Bao , Wenlu Zhang , Ding Li , Zhihong Lin , Ge Dong , Chang Liu , Huasheng Xie , Guo Meng , Junyi Cheng , Chao Dong , Jintao Cao

The dynamics of large scale plasma instabilities can strongly be influenced by the mutual interaction with currents flowing in conducting vessel structures. Especially eddy currents caused by time-varying magnetic perturbations and halo…

Equations describing plasma equilibria are derived from the total energy of the system. The MHD equilibrium is shown to hold even for systems where the magnetic field may locally vanish. Through conservation of helicity, confinement is…

Plasma Physics · Physics 2019-06-20 John Hedditch

A radially adaptive numerical scheme is developed to solve the Grad-Shafranov equation for axisymmetric magnetohydrodynamic equilibrium. A decomposition with independent solutions is employed in the radial direction and Fourier…

Plasma Physics · Physics 2023-01-09 Linjin Zheng , M. T. Kotschenreuther , F. L. Waelbroeck , Y. Todo

Regimes of operation in tokamaks that are devoid of large ELMs have to be better understood to extrapolate their applicability to reactor-relevant devices. This paper describes non-linear extended MHD simulations that use an experimental…

Structures in tokamak plasmas are elongated along the direction of the magnetic field and short in the directions perpendicular to the magnetic field. Many tokamak simulation codes take advantage of this by using a field aligned coordinate…

Plasma Physics · Physics 2025-11-04 Akash Shukla , Ammar Hakim , James Juno , Gregory Hammett , Manaure Francisquez

The STEP (Stability, Transport, Equilibrium, and Pedestal) integrated-modeling tool has been developed in OMFIT to predict stable, tokamak equilibria self-consistently with core-transport and pedestal calculations. STEP couples theory-based…

The equilibrium code, VMEC, is used to study external kinks in low $\beta$ tokamaks and $l=2$ stellarators. The applicability of the code when modelling nonlinear MHD effects is explored in an attempt to understand and predict how the…

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…

Plasma Physics · Physics 2015-06-22 D. Ciro , I. L. Caldas

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…

Pattern Formation and Solitons · Physics 2024-02-19 Oleg K. Cheremnykh , Viktor Fedun , Volodymyr M. Lashkin

A new approach to high pressure magnetically-confined plasmas is necessary to design efficient fusion devices. This paper presents an equilibrium combining two solutions of the Grad-Shafranov equation, which describes the…

Plasma Physics · Physics 2009-11-13 P. -A. Gourdain , S. C. Cowley , J. -N. Leboeuf

The optimisation of scenarios and design of real-time-control in tokamaks, especially for machines still in design phase, requires a comprehensive exploration of solutions to the Grad-Shafranov (GS) equation over a high-dimensional space of…

Plasma Physics · Physics 2024-04-03 A. Agnello , N. C. Amorisco , A. Keats , G. K. Holt , J. Buchanan , S. Pamela , C. Vincent , G. McArdle

Development and operation of commercially viable fusion energy reactors such as tokamaks require accurate predictions of plasma dynamics from sparse, noisy, and incomplete sensors readings. The complexity of the underlying physics and the…

The real-time reconstruction of the plasma magnetic equilibrium in a Tokamak is a key point to access high performance regimes. Indeed, the shape of the plasma current density profile is a direct output of the reconstruction and has a…

Numerical Analysis · Mathematics 2016-11-27 Didier Mazon , Jacques Blum , Cédric Boulbe , Blaise Faugeras , A. Boboc , M. Brix , P. De Vries , S. Sharapov , L. Zabeo

Outside the core of the plasma, the plasma current and pressure rapidly transition to zero in a scrape-off or edge region or plasma-vacuum interface. However, existing tools for fixed-boundary magnetohydrodynamic equilibria in 2D and 3D…

Plasma Physics · Physics 2026-05-05 Alan Kaptanoglu , Tobias Blickhan

The plasma response from an external n = 2 magnetic perturbation field in ASDEX Upgrade has been measured using mainly electron cyclotron emission (ECE) diagnostics and a rigid rotating field. To interpret ECE and ECE-imaging (ECE-I)…

The features of the TRIMEG-GKX code are described with emphasis on the exploration using novel/different schemes compared to other gyrokinetic codes, particularly the use of object-oriented programming, filter/buffer-free treatment, and a…

Plasma Physics · Physics 2025-05-01 Zhixin Lu , Guo Meng , Roman Hatzky , Philipp Lauber , Matthias Hoelzl

This paper studies the nonlinear evolution of magnetic field turbulence in proximity of steady ideal MHD configurations characterized by a small electric current, a small plasma flow, and approximate flux surfaces, a physical setting that…

Plasma Physics · Physics 2024-09-12 Naoki Sato , Michio Yamada

In this work, we propose a novel physics informed neural network based algorithm for real time plasma boundary reconstruction in tokamak devices. The approach is based on a single Extreme Learning Machine network used to solve the…

Plasma Physics · Physics 2025-12-19 Federico Fiorenza , Sara Dubbioso , Gianmaria De Tommasi , Alfredo Pironti
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