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Related papers: Some numerical aspects of the conservative PSM sch…

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In this paper, we propose a mass conservative semi-Lagrangian finite difference scheme for multi-dimensional problems without dimensional splitting. The semi-Lagrangian scheme, based on tracing characteristics backward in time from grid…

Numerical Analysis · Mathematics 2016-07-26 Tao Xiong , Giovanni Russo , Jing-Mei Qiu

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

In this paper a conservation equation is derived for the radially dependent entropy in toroidal geometry using the local approximation of the gyro-kinetic framework. This equation naturally leads to an operative definition for the…

Plasma Physics · Physics 2015-06-22 P. Migliano , R. Buchholz , S. R. Grosshauser , W. A. Hornsby , A. G. Peeters

The three-dimensional evolution of a pure electron plasma is studied by means of a particle-in-cell code which solves the drift-Poisson system where kinetic effects in the motion parallel to the magnetic field are taken into account.…

Plasma Physics · Physics 2007-05-23 Massimiliano Rome , Roberto Pozzoli , Mauro Pravettoni , Yuri Tsidulko

The purpose of the current work is adapting the results of the Noether method derivation of momentum transport equation for the gyrokinetic Vlasov-Poisson system to numerical implementations. In particular, we are considering the delta-f…

Plasma Physics · Physics 2013-07-01 Natalia Tronko , Alain Brizard

Astrophysical plasmas in relativistic spacetimes, such as black hole accretion flows, are often weakly collisional and require kinetic modeling to capture non-local transport and particle acceleration. However, the extreme scale separation…

High Energy Astrophysical Phenomena · Physics 2025-07-17 Tyler Trent , Dimitrios Psaltis , Feryal Özel

Full-f global gyrokinetic simulations of the plasma boundary have until now required heroic computational efforts and case-by-case expert intervention, precluding systematic parameter scans. Here we demonstrate a paradigm shift: hundreds of…

Plasma Physics · Physics 2026-05-18 A. C. D. Hoffmann , M. Francisquez , T. N. Bernard , G. W. Hammett , A. Hakim

The gyrokinetics formulation of plasmas in strong magnetic fields aims at the elimination of the angle associated with the Larmor rotation of charged particles around the magnetic field lines. In a perturbative treatment or as a…

Plasma Physics · Physics 2010-08-31 Philippe Ghendrih , Ricardo Lima , R. Vilela Mendes

Simulating gas flow within the divertor, which is a crucial component in nuclear fusion reactors, is essential for assessing and enhancing its design and performance. Traditional methods, such as the direct simulation Monte Carlo and the…

Plasma Physics · Physics 2024-09-11 Wei Li , Yanbing Zhang , Jianan Zeng , Lei Wu

We investigate tearing modes (TM) driven by current density gradient in collisionless tokamak plasmas by using the electromagnetic gyrokinetic simulation code ORB5. We elucidate the TM width by simulations for flat profiles, as the absence…

Magnetic confinement fusion reactors suffer severely from heat and particle losses through turbulent transport, which has inspired the construction of ever larger and more expensive reactors. Numerical simulations are vital to their design…

Plasma Physics · Physics 2016-03-16 Joseph Thomas Parker

The present paper is devoted to the convergence analysis of an asymptotic preserving particle scheme designed to serve as a particle pusher in a Particle-In-Cell (PIC) method for the Vlasov equation with a strong inhomogeneous magnetic…

Numerical Analysis · Mathematics 2025-12-04 Francis Filbet , L Miguel Rodrigues , Kim Han Trinh

Gaussian process tomography (GPT) is a method used for obtaining real-time tomographic reconstructions of the plasma emissivity profile in a tokamak, given some model for the underlying physical processes involved. GPT can also be used,…

Data Analysis, Statistics and Probability · Physics 2020-12-02 Francisco Matos , Jakob Svensson , Andrea Pavone , Tomas Odstrcil , Frank Jenko

We present herein the results of a linear gyrokinetic analysis of electromagnetic microinstabilites in the conceptual high-$\beta$, reactor-scale, tight-aspect-ratio tokamak STEP (Spherical Tokamak for Energy Production,…

Traditional 1D system thermal hydraulic analysis has been widely applied in nuclear industry for licensing purposes due to its numerical efficiency. However, such codes are inherently deficient for modeling of multiscale multidimensional…

Fluid Dynamics · Physics 2025-06-24 Arsen S. Iskhakov , Nam T. Dinh , Victor Coppo Leite , Elia Merzari

Accurate and efficient plasma models are essential to understand and control experimental devices. Existing magnetohydrodynamic or kinetic models are nonlinear, computationally intensive, and can be difficult to interpret, while often only…

Plasma Physics · Physics 2020-03-04 Alan A. Kaptanoglu , Kyle D. Morgan , Chris J. Hansen , Steven L. Brunton

Accurate aerodynamic and aerothermodynamic predictions are crucial for numerous hypersonic applications. This paper proposes a gas-kinetic scheme (GKS) coupled with a two-temperature kinetic model, which distinguishes between the…

Fluid Dynamics · Physics 2026-01-06 Xingjian Gao , Xing Ji , Hualin Liu , Gang Chen

The gyrokinetic turbulence code GS2 was used to investigate the effects of plasma beta on linear, collisionless ion temperature gradient (ITG) modes and trapped electron modes (TEM) in National Compact Stellarator Experiment (NCSX)…

Plasma Physics · Physics 2013-03-05 J. A. Baumgaertel , G. W. Hammett , D. R. Mikkelsen , M. Nunami , P. Xanthopoulos

The edge density and temperature of tokamak plasmas are strongly correlated with energy and particle confinement and their quantification is fundamental to understanding edge dynamics. These quantities exhibit behaviours ranging from sharp…

Plasma Physics · Physics 2022-01-05 Abhilash Mathews , Jerry Hughes

The electric potential is an essential quantity for the confinement process of tokamak plasmas, with important impact on the performances of fusion reactors. Understanding its evolution in the peripheral region - the part of the plasma…

Plasma Physics · Physics 2018-07-04 Andrea Mentrelli , Claudia Negulescu