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In this paper, we present an efficient Particle-In-Cell algorithm for the simulation of the three dimensional Vlasov-Poisson system in the presence of a strong external magnetic field. When the intensity of the magnetic field is…

数值分析 · 数学 2018-05-29 Francis Filbet , Chang Yang

The use of explicit particle-in-cell (PIC) method for relativistic plasma simulations is restricted by numerical heating and instabilities that may significantly constrain the choice of time and space steps. To partially eliminate these…

等离子体物理 · 物理学 2024-02-12 Arkady Gonoskov

Across many plasma applications, the underlying phenomena and interactions among the involved processes are known to exhibit three-dimensional characteristics. Furthermore, the global properties and evolution of plasma systems are often…

等离子体物理 · 物理学 2024-11-11 Maryam Reza , Farbod Faraji , Aaron Knoll

High-resolution simulations of particle-based kinetic plasma models typically require a high number of particles and thus often become computationally intractable. This is exacerbated in multi-query simulations, where the problem depends on…

数值分析 · 数学 2023-07-10 Jan S. Hesthaven , Cecilia Pagliantini , Nicolò Ripamonti

We change a previous time-stepping algorithm for solving a multi-scale Vlasov-Poisson system within a Particle-In-Cell method, in order to do accurate long time simulations. As an exponential integrator, the new scheme allows to use large…

数值分析 · 数学 2015-06-19 Emmanuel Frenod , Sever Hirstoaga , Mathieu Lutz

This paper formulates a new particle-in-cell method for the Vlasov-Maxwell system. Under the Lorenz gauge condition, Maxwell's equations for the electromagnetic fields can be written as a collection of scalar and vector wave equations. The…

等离子体物理 · 物理学 2024-01-18 Andrew J. Christlieb , William A. Sands , Stephen White

Outstanding advances in solid-state laser technology, employing the optical parametric chirped-pulse-amplification (OPCPA) technique, have led physicists to focus laser pulses to highly-relativistic intensities which led to novel schemes…

等离子体物理 · 物理学 2026-01-28 Szilárd Majorosi , Nasr Hafz , Zsolt Lécz

Modern particle-in-cell (PIC) codes have become an integral tool in plasma astrophysics. As most plasma phenomena grow from initially small instabilities, it is important to ensure PIC codes can suppress noise and ensure that any growing…

高能天体物理现象 · 物理学 2026-05-18 Ludwig M. Böss , Arno Vanthieghem , Hayk Hakobyan , Evgeny A. Gorbunov , Damiano Caprioli

A new spectral particle-in-cell (PIC) method for plasma modeling is presented and discussed. In the proposed scheme, the Fourier-Bessel transform is used to translate the Maxwell equations to the quasi-cylindrical spectral domain. In this…

等离子体物理 · 物理学 2019-08-17 Igor A. Andriyash , Remi Lehe , Agustin Lifschitz

The particle-in-cell (PIC) method has been widely used for plasma simulation, because of its noise-reduction capability and moderate computational cost. The immersed finite element (IFE) method is efficient for solving interface problems on…

数值分析 · 数学 2019-10-18 Jinwei Bai , Yong Cao , Yuchuan Chu , Xu Zhang

In this paper we present a novel particle method for the Vlasov--Poisson equation. Unlike in conventional particle methods, the particles are not interpreted as point charges, but as point values of the distribution function. In between the…

数值分析 · 数学 2022-11-04 Rostislav-Paul Wilhelm , Matthias Kirchhart

This paper introduces a novel formulation of the Particle-In-Cell (PIC) method for the modeling of relativistic plasmas, which leverages the ability of the Pseudo-Spectral Analytical Time-Domain solver (PSATD) to handle arbitrary time…

等离子体物理 · 物理学 2023-12-29 Olga Shapoval , Edoardo Zoni , Remi Lehe , Maxence Thevenet , Jean-Luc Vay

Recent developments in high peak-power table-top laser systems reaching highly relativistic light intensities have led to significant advances in laser-driven particle acceleration schemes (mainly the laser wakefield acceleration, LWFA)…

等离子体物理 · 物理学 2026-05-13 Szilárd Majorosi , Nasr A. M. Hafz , Zsolt Lécz

The Particle-in-Cell (PIC) simulation has been a widely used method for studying plasma physics. However, fully three-dimensional PIC simulations always require huge computational resources. For problems with near azimuthal symmetry, recent…

等离子体物理 · 物理学 2024-02-09 Jianzhao Wang , Weiming An , Rong Tang , Weiyu Meng , Jiayong Zhong

Particle in Cell (PIC) simulations have become a vital tool for the investigation of kinetic processes in plasma physics. Many of the systems investigated with PIC simulations contain particles with relativistic velocities. The correct…

等离子体物理 · 物理学 2026-03-09 Holger Schmitz

In this paper, Particle-in-Cell algorithms for the Vlasov-Poisson system are presented based on its Poisson bracket structure. The Poisson equation is solved by finite element methods, in which the appropriate finite element spaces are…

数值分析 · 数学 2022-08-10 Anjiao Gu , Yang He , Yajuan Sun

We discuss a spectral method for the numerical solution of the Vlasov-Poisson system where the velocity space is decomposed by means of an Hermite basis. We describe a semi-implicit time discretization that extends the range of numerical…

等离子体物理 · 物理学 2013-12-19 Enrico Camporeale , Gian Luca Delzanno , Benjamin K. Bergen , J. David Moulton

An electrostatic, implicit particle-in-cell (PIC) model for collisionless, fully magnetized, paraxial plasma expansions in a magnetic nozzle is introduced with exact charge, energy, and magnetic moment conservation properties. The approach…

等离子体物理 · 物理学 2024-05-14 Pedro Jimenez , Luis Chacon , Mario Merino

We introduce a deterministic discrete-particle simulation approach, the Linearly-Transformed Particle-In-Cell (LTPIC) method, that employs linear deformations of the particles to reduce the noise traditionally associated with particle…

等离子体物理 · 物理学 2013-04-01 M. Campos Pinto , E. Sonnendrücker , A. Friedman , D. Grote , S. Lund

In the framework of a Particle-In-Cell scheme for some 1D Vlasov-Poisson system depending on a small parameter, we propose a time-stepping method which is numerically uniformly accurate when the parameter goes to zero. Based on an…

数值分析 · 数学 2013-06-14 Emmanuel Frenod , Sever Adrian Hirstoaga , Eric Sonnendrücker