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A procedure for largely suppressing the numerical Cherenkov instability in finite difference time-domain (FDTD) particle-in-cell (PIC) simulations of cold, relativistic beams is derived, and residual growth rates computed and compared with…

等离子体物理 · 物理学 2014-07-29 Brendan B. Godfrey , Jean-Luc Vay

The family of generalized Pseudo-Spectral Time Domain (including the Pseudo-Spectral Analytical Time Domain) Particle-in-Cell algorithms offers substantial versatility for simulating particle beams and plasmas, and well written codes using…

等离子体物理 · 物理学 2016-05-04 Brendan B. Godfrey , Jean-Luc Vay

Particle-In-Cell (PIC) simulations of relativistic flowing plasmas are of key interest to several fields of physics (including e.g. laser-wakefield acceleration, when viewed in a Lorentz-boosted frame), but remain sometimes infeasible due…

等离子体物理 · 物理学 2016-11-23 Remi Lehe , Manuel Kirchen , Brendan B. Godfrey , Andreas R. Maier , Jean-Luc Vay

The pseudo-spectral analytical time-domain (PSATD) particle-in-cell (PIC) algorithm solves the vacuum Maxwell's equations exactly, has no Courant time-step limit (as conventionally defined), and offers substantial flexibility in plasma and…

等离子体物理 · 物理学 2014-07-29 Brendan B. Godfrey , Jean-Luc Vay , Irving Haber

When using an electromagnetic particle-in-cell (EM-PIC) code to simulate a relativistically drifting plasma, a violent numerical instability known as the numerical Cerenkov instability (NCI) occurs. The NCI is due to the unphysical coupling…

The pseudo-spectral analytical time-domain (PSATD) particle-in-cell (PIC) algorithm solves the vacuum Maxwell's equations exactly, has no Courant time-step limit (as conventionally defined), and offers substantial flexibility in plasma and…

计算物理 · 物理学 2015-06-16 Brendan B. Godfrey , Jean-Luc Vay , Irving Haber

Rapidly growing numerical instabilities routinely occur in multidimensional particle-in-cell computer simulations of plasma-based particle accelerators, astrophysical phenomena, and relativistic charged particle beams. Reducing instability…

等离子体物理 · 物理学 2014-07-29 Brendan B. Godfrey , Jean-Luc Vay

The effects of noise in particle-in-cell (PIC) and Vlasov simulations of the Buneman instability in unmagnetized plasmas are studied. It is found that, in the regime of low drift velocity, the linear stage of the instability in PIC…

The plasma emission process, which is the mechanism for solar type II and type III radio bursts phenomena, is studied by means of particle-in-cell and weak turbulence simulation methods. By plasma emission, it is meant as a loose…

太阳与恒星天体物理 · 物理学 2019-01-30 Sang-Yun Lee , L. F. Ziebell , P. H. Yoon , R. Gaelzer , E. S. Lee

The simulation of problems in kinetic plasma physics are often challenging due to strongly coupled phenomena across multiple scales. In this work, we propose a wavelet-based coarse-grained numerical scheme, based on the framework of…

计算物理 · 物理学 2016-10-05 Paul Cazeaux , Jan S. Hesthaven

In this paper we present a customized finite-difference-time-domain (FDTD) Maxwell solver for the particle-in-cell (PIC) algorithm. The solver is customized to effectively eliminate the numerical Cerenkov instability (NCI) which arises when…

The Particle-In-Cell (PIC) method is widely used in relativistic particle beam and laser plasma modeling. However, the PIC method exhibits numerical instabilities that can render unphysical simulation results or even destroy the simulation.…

等离子体物理 · 物理学 2016-05-04 M. D. Meyers , C. -K. Huang , Y. Zeng , S. A. Yi , B. J. Albright

An explicit stabilized additive Runge-Kutta scheme is proposed. The method is based on a splitting of the problem in severely stiff and mildly stiff subproblems, which are then independently solved using a Runge-Kutta-Chebyshev scheme. The…

数值分析 · 数学 2020-03-09 Assyr Abdulle , Giacomo Rosilho de Souza

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

First-principles particle-in-cell (PIC) simulation is a powerful tool for understanding plasma behavior, but this power often comes at great computational expense. Artificially reducing the ion/electron mass ratio is a time-honored practice…

等离子体物理 · 物理学 2022-01-14 Gregory R. Werner , Scott Robertson , Thomas G. Jenkins , Andrew M. Chap , John R. Cary

The Stochastic Weighted Particle Method (SWPM) of Rjasanow and Wagner is a generalization of the Direct Simulation Monte Carlo method for computing the probability density function of the velocities of a system of interacting particles for…

数值分析 · 数学 2025-09-17 Matthew Goeckner , Donovan Harcey , Rainier Q Pederson , Axel Niyonzima , John Zweck

Numerical Cherenkov radiation (NCR) or instability is a detrimental effect frequently found in electromagnetic particle-in-cell (EM-PIC) simulations involving relativistic plasma beams. NCR is caused by spurious coupling between…

计算物理 · 物理学 2019-12-23 D. -Y. Na , J. L. Nicolini , R. Lee , B. -H. V. Borges , Y. A. Omelchenko , F. L. Teixeira

The $\delta f$ particle-in-cell algorithm has been a useful tool in studying the physics of plasmas, particularly turbulent magnetized plasmas in the context of gyrokinetics. The reduction in noise due to not having to resolve the full…

等离子体物理 · 物理学 2016-05-25 George J. Wilkie , William Dorland

Validity of fluid models breaks down for non-thermal or weakly collisional plasmas which often occur e.g. in the solar wind. In these regimes one has to resort to modelling through the first-principle Vlasov-Maxwell system, but its…

等离子体物理 · 物理学 2025-12-01 Rostislav-Paul Wilhelm , Fabio Bacchini

In this work, we propose a numerical approach for simulations of large deformations of interfaces in a level set framework. To obtain a fast and viable numerical solution in both time and space, temporal discretization is based on the…

综合数学 · 数学 2023-05-30 Aymen Laadhari , Ahmad Deeb
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