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Plasma shape control in tokamaks requires a real-time controller that tracks dynamically changing shape targets while tolerating diagnostic failures. Classical approaches decompose the problem into equilibrium reconstruction followed by a…

One of the common tasks required for designing new plasma scenarios or evaluating capabilities of a tokamak is to design the desired equilibria using a Grad-Shafranov (GS) equilibrium solver. However, most standard equilibrium solvers are…

等离子体物理 · 物理学 2025-09-25 J. T. Wai , M. D. Boyer , D. J. Battaglia , A. Merle , F. Carpanese , F. Felici , M. Kochan , E. Kolemen

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…

等离子体物理 · 物理学 2024-04-03 A. Agnello , N. C. Amorisco , A. Keats , G. K. Holt , J. Buchanan , S. Pamela , C. Vincent , G. McArdle

Strongly-shaped diverted negative triangularity (NT) plasmas in the DIII-D tokamak demonstrate simultaneous access to high normalized current, pressure, density, and confinement. NT plasmas are shown to exist across an expansive parameter…

Accurate and rapid simulation of the free boundary tokamak plasma equilibrium evolution is essential for modern plasma control, stability analysis, and scenario development. This paper presents the Free-Boundary Grad-Shafranov Evolutive…

A key aspect in the modelling of magnetohydrodynamic (MHD) equilibria in tokamak devices is having access to fast, accurate, and stable numerical simulation methods. There is an increasing demand for reliable methods that can be used to…

One of the common tasks required for designing new plasma pulses or shaping scenarios is to design the desired equilibria using an equilibrium (Grad-Shafranov equation) solver. However, standard equilibrium solvers are time-independent and…

等离子体物理 · 物理学 2023-06-26 J. T. Wai , E. Kolemen

A new axisymmetric equilibrium solver has been written, called FEQIS (Flexible EQuIlibrium Solver), which purpose is to be used inside integrated modeling of tokamak plasmas. The FEQIS code solves the Grad-Shafranov equation and the…

等离子体物理 · 物理学 2025-05-07 E. Fable , G. Tardini , L. Giannone , the ASDEX Upgrade Team

Equilibria in magnetic confinement devices result from force balancing between the Lorentz force and the plasma pressure gradient. In an axisymmetric configuration like a tokamak, such an equilibrium is described by an elliptic equation for…

数值分析 · 数学 2025-06-13 Daniel A. Serino , Qi Tang , Xian-Zhu Tang , Tzanio V. Kolev , Konstantin Lipnikov

This paper expands on the TRANSP description given in Computer Physics Communications 312 (2025) 109611 by describing recent progress in TRANSP's predictive functionality and emphasizing the development of the PT_SOLVER module and…

This paper deals with the numerical reconstruction of the plasma current density in a Tokamak and of its equilibrium. The problem consists in the identification of a non-linear source in the 2D Grad-Shafranov equation, which governs the…

数值分析 · 数学 2009-11-26 Jacques Blum , Cédric Boulbe , Blaise Faugeras

The Grad-Shafranov (GS) equation is a nonlinear elliptic partial differential equation that governs the ideal magnetohydrodynamic equilibrium of a tokamak plasma. Previous studies have demonstrated the existence of multiple solutions to the…

等离子体物理 · 物理学 2025-07-29 K. Pentland , N. C. Amorisco , P. E. Farrell , C. J. Ham

We analyze an axisymmetric equilibrium of a plasma endowed with toroidal and poloidal velocity fields, with the aim to characterize the influence of the global motion on the morphology of the magnetic confinement. We construct our…

等离子体物理 · 物理学 2021-08-02 Giovanni Montani , Matteo Del Prete

The development of advanced packaging is essential in the semiconductor manufacturing industry. However, non-destructive testing (NDT) of advanced packaging becomes increasingly challenging due to the depth and complexity of the layers…

Reliable confinement and stable performance of tokamak fusion plasmas require accurate real-time magnetic shape control. A promising route to reduced latency and increased flexibility in plasma control systems (PCS) is to emulate…

等离子体物理 · 物理学 2026-04-02 K. Pentland , A. Ross , N. C. Amorisco , P. Cavestany , T. Nunn , A. Agnello , G. K. Holt , C. Vincent

Tokamak plasmas are confined by a magnetic field that limits the particle and heat transport perpendicular to the field. Parallel to the field the ionised particles can move freely, so to obtain confinement the field lines are "closed" (ie.…

等离子体物理 · 物理学 2017-11-17 Jarrod Leddy , Ben Dudson , Michele Romanelli , Brendan Shanahan , Nick Walkden

With edge plasma code SOLS-ITER, we study four Snowflake (SF) configurations for an ITER-size tokamak, with toroidal magnetic field BT=5T, major radius R=5m and plasma current Ip=10MA. Our aim is to provide insights on SF divertor design…

等离子体物理 · 物理学 2025-09-03 H. S. Wu , F. Subba , M. R. K. Wigram , O. Pan , R. Lo Frano , A. Pucciarelli , R. Zanino

We present a new fast solver to calculate fixed-boundary plasma equilibria in toroidally axisymmetric geometries. By combining conformal mapping with Fourier and integral equation methods on the unit disk, we show that high-order accuracy…

等离子体物理 · 物理学 2015-06-11 Andras Pataki , Antoine J. Cerfon , Jeffrey P. Freidberg , Leslie Greengard , Michael O'Neil

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

We investigate the feasibility of negative triangularity (NT) plasma configurations in the SPARC tokamak, a compact, high-field device (up to 12.2 T) designed for positive triangularity (PT) operation. Using the FreeGS free-boundary…

等离子体物理 · 物理学 2026-03-03 Narin Yüksek , Theodore Golfinopoulos
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