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A fundamental task in particle-in-cell (PIC) simulations of plasma physics is solving for charged particle motion in electromagnetic fields. This problem is especially challenging when the plasma is strongly magnetized due to numerical…

计算物理 · 物理学 2026-01-01 Tri P. Nguyen , Ilon Joseph , Mayya Tokman

We present a higher-order extension of the dual cell method for the time-domain Maxwell equations in three spatial dimensions. The approach builds upon a variational reinterpretation of the Finite Integration Technique on dual meshes and…

数值分析 · 数学 2026-04-16 Lorenzo Codecasa , Bernard Kapidani , Joachim Schöberl , Markus Wess

Relativistic magnetic reconnection is a non-ideal plasma process that is a source of non-thermal particle acceleration in many high-energy astrophysical systems. Particle-in-cell (PIC) methods are commonly used for simulating reconnection…

We introduce a Galilean electromagnetic particle-in-cell (GEM-PIC) algorithm, which transforms the full set of Maxwell equations and the Vlasov equation into the boosted coordinates. This approach preserves the electromagnetic structure of…

等离子体物理 · 物理学 2026-05-21 Alexander Pukhov , Nina Elkina , Tom Wilson

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

The Finite Difference Time Domain (FDTD) method is a widely used numerical technique for solving Maxwell's equations, particularly in computational electromagnetics and photonics. It enables accurate modeling of wave propagation in complex…

计算与语言 · 计算机科学 2025-04-15 Yifei He , Måns I. Andersson , Stefano Markidis

High-fidelity modeling of plasma-based acceleration (PBA) requires the use of 3D fully nonlinear and kinetic descriptions based on the particle-in-cell (PIC) method. Three-dimensional PIC algorithms based on the quasi-static approximation…

等离子体物理 · 物理学 2022-09-28 Fei Li , Weiming An , Frank S. Tsung , Viktor K. Decyk , Warren B. Mori

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

Numerical heating in particle-in-cell (PIC) codes currently precludes the accurate simulation of cold, relativistic plasma over long periods, severely limiting their applications in astrophysical environments. We present a spatially…

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

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

The state of art of charge-conserving electromagnetic finite element particle-in-cell has grown by leaps and bounds in the past few years. These advances have primarily been achieved for leap-frog time stepping schemes for Maxwell solvers,…

数值分析 · 数学 2023-05-10 Omkar H. Ramachandran , Leo C. Kempel , John Luginsland , B. Shanker

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 present a high order, Fourier penalty method for the Maxwell's equations in the vicinity of perfect electric conductor boundary conditions. The approach relies on extending the smooth non-periodic domain of the equations to a periodic…

数值分析 · 数学 2016-01-20 Ryan Galagusz , David Shirokoff , Jean-Christophe Nave

A new method that solves concurrently the multi-fluid and Maxwell's equations has been developed for plasma simulations. By calculating the stress tensor in the multi-fluid momentum equation by means of computational particles moving in a…

A novel 3-D higher-order finite-difference time-domain framework with complex frequency-shifted perfectly matched layer for the modeling of wave propagation in cold plasma is presented. Second- and fourth-order spatial approximations are…

等离子体物理 · 物理学 2013-10-25 Konstantinos P. Prokopidis

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

In this paper, a novel class of exponential Fourier collocation methods (EFCMs) is presented for solving systems of first-order ordinary differential equations. These so-called exponential Fourier collocation methods are based on the…

数值分析 · 数学 2018-02-22 Bin Wang , Xinyuan Wu , Fanwei Meng , Yonglei Fang

We propose a self-consistent simulation model for particle beams in accelerators, which includes the impact of electromagnetic wakefields caused by the geometry of the accelerator chamber. The method is based on a scattered-field…

计算物理 · 物理学 2026-03-13 J. Christ , E. Gjonaj , H. De Gersem

We present direct logarithmically optimal in theory and fast in practice algorithms to implement the tensor product high order finite element method on multi-dimensional rectangular parallelepipeds for solving PDEs of the Poisson kind. They…

数值分析 · 数学 2026-01-05 Alexander Zlotnik , Ilya Zlotnik