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We present a novel framework for Finite Element Particle-in-Cell methods based on the discretization of the underlying Hamiltonian structure of the Vlasov-Maxwell system. We derive a semi-discrete Poisson bracket, which retains the defining…

数值分析 · 数学 2017-10-05 Michael Kraus , Katharina Kormann , Philip J. Morrison , Eric Sonnendrücker

Space plasma simulations have seen an increase in the use of magnetohydrodynamic (MHD) with embedded Particle-in-Cell (PIC) models. This combined MHD-EPIC algorithm simulates some regions of interest using the kinetic PIC method while…

等离子体物理 · 物理学 2021-09-15 Yinsi Shou , Valeriy Tenishev , Yuxi Chen , Gabor Toth , Natalia Ganushkina

When the Debye length is not resolved in a simulation using the most common particle-in-cell (PIC) algorithm, the plasma will unphysically heat until the Debye length becomes resolved via a phenomenon known as grid heating. This article…

等离子体物理 · 物理学 2025-09-18 Luke C Adams , Gregory R Werner , John R Cary

The traditional explicit electrostatic momentum-conserving Particle-in-cell algorithm requires strict resolution of the electron Debye length to deliver numerical accuracy. The explicit electrostatic energy-conserving Particle-in-Cell…

等离子体物理 · 物理学 2023-08-31 Andrew T. Powis , Igor D. Kaganovich

The particle-in-cell (PIC) method is successfully used to study magnetized plasmas. However, this requires large computational costs and limits simulations to short physical run-times and often to setups in less than three spatial…

高能天体物理现象 · 物理学 2023-01-24 Rouven Lemmerz , Mohamad Shalaby , Timon Thomas , Christoph Pfrommer

We extend the asymptotic preserving and energy conserving time integrator for charged-particle motion developed in [Ricketson & Chac\'on, JCP, 2020] to include finite Larmor-radius (FLR) effects in the presence of electric-field…

计算物理 · 物理学 2023-12-04 Lee Ricketson , Luis Chacón

A novel electromagnetic particle-in-cell algorithm has been developed for fully kinetic plasma simulations on unstructured (irregular) meshes in complex body-of-revolution geometries. The algorithm, implemented in the BORPIC++ code,…

数值分析 · 数学 2024-05-16 Dong-Yeop Na , Fernando L. Teixeira , Yuri A. Omelchenko

Particles traveling through inertial microfluidic devices migrate to focusing streamlines. We present a numerical method that calculates migration velocities of particles in inertial microfluidic channels of arbitrary cross section by…

流体动力学 · 物理学 2022-10-19 Samuel Christensen , Raymond Chu , Christopher R Anderson , Marcus Roper

We perform extensive 2D Particle-In-Cell (PIC) electromagnetic simulations of low pressure Inductively Coupled Plasma (ICP) discharges with various coil current and driving frequencies. Our simulations show that in low-frequency cases,…

等离子体物理 · 物理学 2025-09-11 Haomin Sun , Jian Chen , Alexander Khrabrov , Igor D. Kaganovich , Wei Yang , Dmytro Sydorenko , Stephan Brunner

The Energy Conserving Semi-Implicit Method (ECSIM) introduced by Lapenta (2017) has many advantageous properties compared to the classical semi-implicit and explicit PIC methods. Most importantly, energy conservation eliminates the growth…

计算物理 · 物理学 2019-05-01 Yuxi Chen , Gabor Toth

We present a novel Relativistic Semi-Implicit Method (RelSIM) for particle-in-cell (PIC) simulations of astrophysical plasmas, implemented in a code framework ready for production runs. While explicit PIC methods have gained widespread…

高能天体物理现象 · 物理学 2023-08-29 Fabio Bacchini

Common time-explicit numerical methods for kinetic simulations of plasmas in the low-collisions limit fall into two classes of algorithms: momentum conserving and energy conserving. Each has certain drawbacks. The PIC algorithm does not…

等离子体物理 · 物理学 2015-06-11 E. G. Evstatiev , B. A. Shadwick

In recent years, several gauge-symmetric particle-in-cell (PIC) methods have been developed whose simulations of particles and electromagnetic fields exactly conserve charge. While it is rightly observed that these methods' gauge symmetry…

等离子体物理 · 物理学 2020-05-28 Alexander S. Glasser , Hong Qin

We present the parallel particle-in-cell (PIC) code Apar-T and, more importantly, address the fundamental question of the relations between the PIC model, the Vlasov-Maxwell theory, and real plasmas. First, we present four validation tests:…

We introduce and explore an approach for constructing force fields for small molecules, which combines intuitive low body order empirical force field terms with the concepts of data driven statistical fits of recent machine learned…

化学物理 · 物理学 2020-10-26 Alice Allen , Gábor Csányi , Geneviève Dusson , Christoph Ortner

In a uniform radio-frequency (RF) plasma between a large electrode pair, the addition of an axial magnetic field induces diverse longitudinal filaments. To reveal its pattern dynamics, we conduct two-dimensional (2D) Particle-In-Cell (PIC)…

等离子体物理 · 物理学 2025-05-28 Huidong Huang , Jian Chen , Zhibin Wang

We propose and study a Particle-In-Cell (PIC) method based on the Crank-Nicolson time discretization for the Vlasov-Poisson system with a strong and inhomogeneous external magnetic field with fixed direction, where we focus on the motion of…

数值分析 · 数学 2025-12-04 Francis Filbet , L Miguel Rodrigues , Kim Han Trinh

When a charged particle moves through a plasma at a speed much higher than the thermal velocity of the plasma, it is subjected to the force of the electrostatic field induced in the plasma by itself and loses its energy. This process is…

计算物理 · 物理学 2013-12-20 Tsunehiko N. Kato

The paper presents a 1D2V electrostatic PIC model with a drift-kinetic description of all particle types aiming at simulating classical longitudinal plasma transport in axially symmetric open traps. The model generalizes the semi-implicit…

等离子体物理 · 物理学 2026-02-03 V. V. Glinskiy , I. V. Timofeev , V. V. Prikhodko

We present a novel Material Point Method (MPM) discretization of surface tension forces that arise from spatially varying surface energies. These variations typically arise from surface energy dependence on temperature and/or concentration.…

图形学 · 计算机科学 2022-01-19 Jingyu Chen , Victoria Kala , Alan Marquez-Razon , Elias Gueidon , David A. B. Hyde , Joseph Teran