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The most popular methods for self-consistent simulation of fields interacting with charged species is using finite difference time domain (FDTD) methods together with Newton's laws of motion to evolve locations and velocities of particles.…

This paper proposes a charge-conserving, variational, spatio-temporal discretization for the drift-kinetic Vlasov-Maxwell system, utilizing finite-elements for the electromagnetic fields and the particle-in-cell approach for the Vlasov…

等离子体物理 · 物理学 2019-10-09 Eero Hirvijoki

In many problems involving particle accelerators and relativistic plasmas, the accurate modeling of relativistic particle motion is essential for accurate physical predictions. Here, we extend a charge-conserving finite element time-domain…

计算物理 · 物理学 2018-01-09 D. Y. Na , H. Moon , Y. A. Omelchenko , F. L. Teixeira

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

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

An efficient finite-difference time-domain (FDTD) algorithm is built to solve the transverse electric 2D Maxwell's equations with inhomogeneous dielectric media where the electric fields are discontinuous across the dielectric interface.…

计算物理 · 物理学 2023-07-14 Timothy Meagher , Bin Jiang , Peng Jiang

Finite-grid (or aliasing) instabilities are pervasive in particle-in-cell (PIC) plasma simulation algorithms, and force the modeler to resolve the smallest (Debye) length scale in the problem regardless of dynamical relevance. These…

等离子体物理 · 物理学 2019-10-25 D. C. Barnes , L. Chacon

Computational Fluid Dynamics (CFD) is an important approach for analyzing flow phenomena and predicting engineering-relevant quantities. The governing physics is formulated as partial differential equations(PDEs) and solved numerically on…

流体动力学 · 物理学 2026-05-14 Yali Luo , Yiye Zou , Heng Zhang , Mingjie Zhang , Gang Wei , Jingyu Wang , Xiaogang Deng

In this work, the Flux-Coordinate Independent (FCI) approach to plasma turbulence simulations is formulated for the case of generic, static magnetic fields, including those possessing stochastic field lines. It is then demonstrated that FCI…

等离子体物理 · 物理学 2015-04-28 F. Hariri , P. Hill , M. Ottaviani , Y. Sarazin

Particle-in-cell (PIC) simulations are essential for studying kinetic plasma processes, but they often suffer from statistical noise, especially in plasmas with fast flows. We have also found that the typical central difference scheme used…

计算物理 · 物理学 2025-06-16 Yuxi Chen , Hongyang Zhou , Gabor Toth

The WT scheme, a piecewise polynomial force interpolation scheme with time-step dependency, is proposed in this paper for relativistic particle-in-cell (PIC) simulations. The WT scheme removes the lowest order numerical Cherenkov…

计算物理 · 物理学 2020-05-20 Yingchao Lu , Patrick Kilian , Fan Guo , Hui Li , Edison Liang

The finite-difference time-domain (FDTD) method, which is important in photonic hardware design flow, is widely adopted to solve time-domain Maxwell equations. However, FDTD is known for its prohibitive runtime cost, taking minutes to hours…

计算物理 · 物理学 2024-06-27 Pingchuan Ma , Haoyu Yang , Zhengqi Gao , Duane S. Boning , Jiaqi Gu

A more accurate, stable, finite-difference time-domain (FDTD) algorithm is developed for simulating Maxwell's equations with isotropic or anisotropic dielectric materials. This algorithm is in many cases more accurate than previous…

计算物理 · 物理学 2015-06-12 Gregory R. Werner , Carl A. Bauer , John R. Cary

A customized finite-difference field solver for the particle-in-cell (PIC) algorithm that provides higher fidelity for wave-particle interactions in intense electromagnetic waves is presented. In many problems of interest, particles with…

Physics-Informed Neural Networks (PINNs) have recently emerged as a promising alternative for solving partial differential equations, offering a mesh-free framework that incorporates physical laws directly into the learning process. In this…

计算物理 · 物理学 2025-04-17 Gal G. Shaviner , Hemanth Chandravamsi , Shimon Pisnoy , Ziv Chen , Steven H. Frankel

Simulation of 3D low-frequency electromagnetic fields propagating in the Earth is computationally expensive. We present a fictitious wave domain high-order finite-difference time-domain (FDTD) modelling method on nonuniform grids to compute…

数值分析 · 数学 2023-02-13 Pengliang Yang , Rune Mittet

Full self-consistent stationary Vlasov-Maxwell solutions of magnetically confined plasmas are built for systems with cylindrical symmetries. The stationary solutions are thermodynamic equilibrium solutions. These are obtained by computing…

等离子体物理 · 物理学 2023-01-04 Aurélien Cordonnier , Xavier Leoncini , Guilhem Dif-Pradalier , Xavier Garbet

Modeling and simulation of High Power Microwave (HPM) breakdown, a multiscale phenomenon, is computationally expensive and requires solving Maxwell's equations (EM solver) coupled with a plasma continuity equation (plasma solver). In this…

等离子体物理 · 物理学 2025-09-09 Kalp Pandya , Pratik Ghosh , Ajeya Mandikal , Shivam Gandha , Bhaskar Chaudhury

The accurate prediction of occurrence and strength of kinetic instabilities in plasmas remains a significant challenge in nuclear fusion research. To accurately capture the plasmas dynamics one is required to solve the Vlasov equation for…

等离子体物理 · 物理学 2024-04-30 Rostislav-Paul Wilhelm , Jan Eifert , Manuel Torrilhon

We present a new algorithm for the discretization of the Vlasov-Maxwell system of equations for the study of plasmas in the kinetic regime. Using the discontinuous Galerkin finite element method for the spatial discretization, we obtain a…

等离子体物理 · 物理学 2017-11-22 J. Juno , A. Hakim , J. TenBarge , E. Shi , W. Dorland