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We present a linear stability analysis of a two-dimensional fluid model used to study the plasma dynamics in the scrape-off layer of tokamaks. The model equations are based on the Braginskii fluid equations under the assumptions of drift…

Plasma Physics · Physics 2019-03-27 Fryderyk Wilczynski , David W. Hughes , Sven Van Loo , Wayne Arter , Fulvio Militello

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…

Numerical Analysis · Mathematics 2009-11-26 Jacques Blum , Cédric Boulbe , Blaise Faugeras

Using analytic calculations, the effects of the edge flux surface shape and the toroidal current profile on the penetration of flux surface shaping are investigated in a tokamak. It is shown that the penetration of shaping is determined by…

Plasma Physics · Physics 2016-03-01 Justin Ball , Felix I. Parra

Tokamak edge (scrape-off layer) plasmas can exhibit non-local transport in the direction parallel to the magnetic field due to steep temperature gradients. This effect along with its consequences has been explored at equilibrium for a range…

Plasma Physics · Physics 2023-07-05 Dominic Power , Stefan Mijin , Michael Wigram , Fulvio Militello , Robert J. Kingham

The problem of equilibrium of a plasma in a Tokamak is a free boundary problemdescribed by the Grad-Shafranov equation in axisymmetric configurations. The right hand side of this equation is a non linear source, which represents the…

Numerical Analysis · Mathematics 2009-09-10 Jacques Blum , Cédric Boulbe , Blaise Faugeras

A complete model of the dynamics of scrape-off layer filaments will be rather complex, including temperature evolution, three dimensional geometry and finite Larmor radius effects. However, the basic mechanism of…

Plasma Physics · Physics 2016-02-02 J. T. Omotani , F. Militello , L. Easy , N. R. Walkden

In this paper we have studied the influence of reversed shear on the improvement of the confinement's quality in the plasma of tokamak and especially in reducing the anomalous transport. For that, we have used a special model for the drift…

Plasma Physics · Physics 2007-05-23 Mahmoud Elmouden , Dennoum Saifaoui , Awatif Dezairi , Hicham Imzi , Aziz Rouak

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…

Numerical Analysis · Mathematics 2011-03-18 Jacques Blum , Cedric Boulbe , Blaise Faugeras

The properties of plasma turbulence in a poloidally limited scrape-off layer (SOL) are addressed, with focus on ISTTOK, a large aspect ratio tokamak with a circular cross section. Theoretical investigations based on the drift-reduced…

Plasma Physics · Physics 2019-04-18 Rogerio Jorge , Paolo Ricci , Federico D. Halpern , Nuno F. Loureiro , Carlos Silva

Shaping of magnetic flux surfaces is found to have a strong impact on turbulence and transport in tokamak edge plasmas. A series of axisymmetric equilibria with varying elongation and triangularity, and a divertor configuration are…

Plasma Physics · Physics 2010-05-10 Alexander Kendl , Bruce D. Scott

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…

Plasma Physics · Physics 2018-08-22 Paulo Rodrigues , André Coroado

The aim of the present work is to investigate tokamak equilibria with reversed magnetic shear and sheared flow, which may play a role in the formation of internal transport barriers (ITBs), within the framework of two-fluid model. The study…

Plasma Physics · Physics 2009-11-11 G. Poulipoulis , G. N. Throumoulopoulos , H. Tasso

Theory-based scaling laws of the near and far scrape-off layer (SOL) widths are analytically derived for L-mode diverted tokamak discharges by using a two-fluid model. The near SOL pressure and density decay lengths are obtained by…

Plasma Physics · Physics 2021-04-20 M. Giacomin , A. Stagni , P. Ricci , J. A. Boedo , J. Horacek , H. Reimerdes , C. K. Tsui

We describe simple quantum-mechanical approach to calculating equilibrium particle current along the edge of a system with non-trivial band spectrum topology. The approach does not require any a priori knowledge of the band topology and, as…

Mesoscale and Nanoscale Physics · Physics 2014-07-23 E. G. Mishchenko , O. A. Starykh

We construct analytic solutions to the generalized Grad-Shafranov equation, which incorporates both toroidal and poloidal flows. This is achieved by adopting a general linearizing ansatz for the free-function terms of the equation and…

Plasma Physics · Physics 2025-02-25 A. I. Kuiroukidis , D. A. Kaltsas , G. N. Throumoulopoulos

Nonlinear tranlational symmetric equilibria with up to quartic flux terms in the free functions, reversed magnetic shear and sheared flow are constructed in two ways: i) quasianalytically by an ansatz which reduces the pertinent generalized…

Plasma Physics · Physics 2019-02-20 Ap Kuiroukidis , G. N. Throumoulopoulos

Accurate modeling of runaway electron generation and losses during tokamak disruptions is crucial for the development of reactor-scale tokamak devices. In this paper we present a reduced model for runaway electron losses due to flux surface…

Plasma Physics · Physics 2024-10-07 Oskar Vallhagen , Lise Hanebring , Tünde Fülöp , Mathias Hoppe , Istvan Pusztai

An analytic solution to a generalized Grad-Shafranov equation with flow of arbitrary direction is obtained upon adopting the generic linearizing ansatz for the free functions related to the poloidal current, the static pressure and the…

Plasma Physics · Physics 2019-12-30 D. A. Kaltsas , A. Kuiroukidis , G. N. Throumoulopoulos

In a tokamak pedestal, radial scale lengths can become comparable to the ion orbit width, invalidating conventional neoclassical calculations of flow and bootstrap current. In this work we illustrate a non-local approach that allows strong…

Plasma Physics · Physics 2012-06-27 Matt Landreman , Darin R. Ernst

The collisional dynamics of test impurity ions in spherical tokamak plasmas with strongly-sheared radial electric fields is investigated by means of a test particle full orbit simulation code. The strength of the shear is such that the…

Plasma Physics · Physics 2011-06-13 C. G. Wrench , E. Verwichte , K. G. McClements
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