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Vlasiator is a new hybrid-Vlasov plasma simulation code aimed at simulating the entire magnetosphere of the Earth. The code treats ions (protons) kinetically through Vlasov's equation in the six-dimensional phase space while electrons are a…

The main objective of the paper is to determine asymptotic solutions to the initial-value conditions for Vlasov-Ampere/Gauss system of equations that is to find the "far field" solutions. Next, we determine dispersion relations for…

等离子体物理 · 物理学 2007-05-23 A. J. Turski , B. Atamaniuk , E. Turska

In this paper, we present an efficient algorithm for the long time behavior of plasma simulations. We will focus on 4D drift-kinetic model, where the plasma's motion occurs in the plane perpendicular to the magnetic field and can be…

数值分析 · 数学 2014-10-01 Francis Filbet , Chang Yang

The time evolution of a collisionless plasma is modeled by the relativistic Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equations of electrodynamics. We consider the case that the plasma…

数学物理 · 物理学 2020-07-03 Jörg Weber

Representing the electrodynamics of relativistically drifting particle ensembles in discrete, co-propagating Galilean coordinates enables the derivation of a Particle-in-Cell algorithm that is intrinsically free of the Numerical Cherenkov…

A parallel, relativistic, three-dimensional particle-in-cell code SPACE has been developed for the simulation of electromagnetic fields, relativistic particle beams, and plasmas. In addition to the standard second-order Particle-in-Cell…

计算物理 · 物理学 2022-05-25 Kwangmin Yu , Prabhat Kumar , Shaohua Yuan , Aiqi Cheng , Roman Samulyak

A new scheme for numerical integration of the 1D2V relativistic Vlasov-Maxwell system is proposed. Assuming that all particles in a cell of the phase space move with the same velocity as that of the particle located at the center of the…

等离子体物理 · 物理学 2010-02-18 Akihiro Suzuki , Toshikazu Shigeyama

We present an extension of the multi-moment advection scheme (Minoshima et al., 2011, J. Comput. Phys.) to the three-dimensional case, for full electromagnetic Vlasov simulations of magnetized plasma. The scheme treats not only point values…

计算物理 · 物理学 2015-06-04 Takashi Minoshima , Yosuke Matsumoto , Takanobu Amano

We consider the one-dimensional ions dynamics in weakly collisional plasmas governed by the Vlasov-Poisson-Landau system under the Boltzmann relation with the small collision frequency $\nu>0$. It is observed in physical experiments that…

偏微分方程分析 · 数学 2025-07-01 Renjun Duan , Zongguang Li , Dongcheng Yang , Tong Yang

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.…

等离子体物理 · 物理学 2007-05-23 Massimiliano Rome , Roberto Pozzoli , Mauro Pravettoni , Yuri Tsidulko

We consider the solution of the fully kinetic (including electrons) Vlasov-Amp\`ere system in a one-dimensional physical space and two-dimensional velocity space (1D-2V) for an arbitrary number of species with a time-implicit Eulerian…

等离子体物理 · 物理学 2020-07-13 Steven E. Anderson , William T. Taitano , Luis Chacón , Andrei N. Simakov

Electromagnetic particle simulation model has been formulated and verified for nonlinear processes of lower hybrid (LH) waves in fusion plasmas. Electron dynamics is described by the drift kinetic equation using either kinetic momentum or…

等离子体物理 · 物理学 2017-10-06 J. Bao , Z. Lin , A. Kuley , Z. X. Wang

A dispersion relation for a commonly used hybrid model of plasma physics is developed, which combines fully kinetic ions and a massless-electron fluid description. Although this model and variations of it have been used to describe plasma…

等离子体物理 · 物理学 2022-03-30 Daniel Told , Tessa Cookmeyer , Patrick Astfalk , Frank Jenko

Kinetic equations are difficult to solve numerically due to their high dimensionality. A promising approach for reducing computational cost is the dynamical low-rank algorithm, which decouples the dimensions of the phase space by proposing…

数值分析 · 数学 2022-04-26 Jack Coughlin , Jingwei Hu

Previously developed method for finding asymptotic solutions of Vlasov equations using two-dimensional (in coordinate x and time t) Laplace transform is applied to low-collision electron-ion plasmas. Taking into account Coulomb collisions…

等离子体物理 · 物理学 2007-08-08 V. N. Soshnikov

A number of physical processes in laser-plasma interaction can be described with the two-fluid plasma model. We report on a solver for the three-dimensional two-fluid plasma model equations. This solver is particularly suited for simulating…

等离子体物理 · 物理学 2021-02-26 B. Morel , R. Giust , K. Ardaneh , F Courvoisier

The tangential layers are characterized by a bulk plasma velocity and a magnetic field that are perpendicular to the gradient direction. They have been extensively described in the frame of the Magneto-Hydro-Dynamic (MHD) theory. But the…

空间物理 · 物理学 2009-11-10 Fabrice Mottez

The simulation of problems in kinetic plasma physics are often challenging due to strongly coupled phenomena across multiple scales. In this work, we propose a wavelet-based coarse-grained numerical scheme, based on the framework of…

计算物理 · 物理学 2016-10-05 Paul Cazeaux , Jan S. Hesthaven

In this study, the Vlasov-Poisson equation with or without collision term for plasma is solved by the unified gas kinetic scheme (UGKS). The Vlasov equation is a differential equation describing time evolution of the distribution function…

计算物理 · 物理学 2018-10-18 Dongxin Pana , Chengwen Zhong , Congshan Zhuo , Wei Tan

The dynamics of collisionless plasmas can be modelled by the Vlasov-Maxwell system of equations. An Eulerian approach is needed to accurately describe processes that are governed by high energy tails in the distribution function, but is of…

等离子体物理 · 物理学 2017-06-29 Benjamin Svedung Wettervik , Timothy Charles DuBois , Evangelos Siminos , Tünde Fülöp