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The numerical solution of high dimensional Vlasov equation is usually performed by particle-in-cell (PIC) methods. However, due to the well-known numerical noise, it is challenging to use PIC methods to get a precise description of the…

数值分析 · 数学 2015-10-20 Bei Wang , Greg Miller , Phil Colella

We propose a new adaptive Particle-in-Cloud (AP-Cloud) method for obtaining optimal numerical solutions to the Vlasov-Poisson equation. Unlike the traditional particle-in-cell (PIC) method, which is commonly used for solving this problem,…

数值分析 · 数学 2016-05-25 Xingyu Wang , Roman Samulyak , Xiangmin Jiao , Kwangmin Yu

Particle methods are a ubiquitous tool for solving the Vlasov-Poisson equation in comoving coordinates, which is used to model the gravitational evolution of dark matter in an expanding universe. However, these methods are known to produce…

宇宙学与河外天体物理 · 物理学 2016-01-12 Andrew Myers , Phillip Colella , Brian Van Straalen

Numerical solutions to the Vlasov-Poisson system of equations have important applications to both plasma physics and cosmology. In this paper, we present a new Particle-in-Cell (PIC) method for solving this system that is 4th-order accurate…

数值分析 · 数学 2016-02-03 Andrew Myers , Phillip Colella , Brian Van Straalen

We extend the recently-developed explicit, energy-conserving particle-in-cell (PIC) scheme of [1] to the relativistic Vlasov-Maxwell system. As in the non-relativistic case, the method is built on an optimization problem that is…

等离子体物理 · 物理学 2026-05-19 Lee Ricketson , Jingwei Hu

Resolving numerically Vlasov-Poisson equations for initially cold systems can be reduced to following the evolution of a three-dimensional sheet evolving in six-dimensional phase-space. We describe a public parallel numerical algorithm…

计算物理 · 物理学 2016-06-29 Thierry Sousbie , Stéphane Colombi

This paper presents a recently developed particle simulation code package PIFE-PIC, which is a novel three-dimensional (3-D) Parallel Immersed-Finite-Element (IFE) Particle-in-Cell (PIC) simulation model for particle simulations of…

数学软件 · 计算机科学 2020-11-23 Daoru Han , Xiaoming He , David Lund , Xu Zhang

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

Vlasiator is a space plasma simulation code which models near-Earth ion-kinetic dynamics in three spatial and three velocity dimensions. It is highly parallelized, modeling the Vlasov equation directly through the distribution function,…

A long-standing challenge encountered in modeling plasma dynamics is achieving practical Vlasov equation simulation in multiple spatial dimensions over large length and time scales. While direct multi-dimension Vlasov simulation methods…

等离子体物理 · 物理学 2015-05-30 Harvey A. Rose , William Daughton

Continuum Vlasov simulations can be utilized for highly accurate modelling of fully kinetic plasmas. Great progress has been made recently regarding the applicability of the method in realistic plasma configurations. However, a reduction of…

等离子体物理 · 物理学 2022-09-28 Florian Allmann-Rahn , Rainer Grauer , Katharina Kormann

The Gyrokinetic Toroidal Code at Princeton (GTC-P) is a highly scalable and portable particle-in-cell (PIC) code. It solves the 5D Vlasov-Poisson equation featuring efficient utilization of modern parallel computer architectures at the…

分布式、并行与集群计算 · 计算机科学 2015-10-20 Bei Wang , Stephane Ethier , William Tang , Khaled Ibrahim , Kamesh Madduri , Samuel Williams , Leonid Oliker

The resolution of the system given by Maxwell's equations and Vlasov equation in three dimensions can describe all the phenomena of interest for laser wakefield acceleration, with few exceptions (e.g. ionization). Such arduous task can be…

等离子体物理 · 物理学 2020-09-23 Francesco Massimo , Imen Zemzemi , Arnaud Beck , Julien Dérouillat , Arnd Specka

In this paper we present a new three dimensional (3D) full electromagnetic relativistic hybrid plasma code H-VLPL (hybrid virtual laser plasma laboratory). The full kinetic particle-in-cell (PIC) method is used to simulate low density hot…

计算物理 · 物理学 2010-05-06 T. Tueckmantel , J. Liljo , A. Pukhov , M. Hochbruck

We discuss the scalable parallel solution of the Poisson equation within a Particle-In-Cell (PIC) code for the simulation of electron beams in particle accelerators of irregular shape. The problem is discretized by Finite Differences.…

计算物理 · 物理学 2010-04-21 A. Adelmann , P. Arbenz , Y. Ineichen

Particle-in-Cell (PIC) simulation codes have wide applicability to first-principles modeling of multidimensional nonlinear plasma phenomena, including wake-field accelerators. This review addresses both finite difference and pseudo-spectral…

等离子体物理 · 物理学 2014-08-07 Brendan B. Godfrey

We have developed a parallel Particle-Particle, Particle-Mesh (P3M) simulation code for the Cray T3E parallel supercomputer that is well suited to studying the time evolution of systems of particles interacting via gravity and gas forces in…

天体物理学 · 物理学 2009-10-30 Tom MacFarland , H. M. P. Couchman , F. R. Pearce , Jakob Pichlmeier

We introduce a quasi-static particle-in-cell (PIC) code -- WAND-PIC -- which does not suffer from some of the common limitations of many quasi-static PICs, such as the need for a predictor-corrector method in solving electromagnetic fields.…

等离子体物理 · 物理学 2022-04-22 Tianhong Wang , Vladimir Khudik , Jihoon Kim , Gennady Shvets

In this dissertation, a fully object-oriented, fully relativistic, multi-dimensional Particle-In-Cell code was developed and applied to answer key questions in plasma-based accelerator research. The simulations increase the understanding of…

计算物理 · 物理学 2015-03-03 Roy G. Hemker

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
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