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Related papers: New applications for the Boris Spectral Deferred C…

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We present a fourth-order finite-volume algorithm in space and time for low Mach number reacting flow with detailed kinetics and transport. Our temporal integration scheme is based on a multi-implicit spectral deferred correction (MISDC)…

Numerical Analysis · Mathematics 2016-08-24 Will Pazner , Andrew Nonaka , John Bell , Marcus Day , Michael Minion

We introduce a new class of arbitrary-order exponential time differencing methods based on spectral deferred correction (ETDSDC) and describe a simple procedure for initializing the requisite matrix functions. We compare the stability and…

Numerical Analysis · Mathematics 2020-11-03 Tommaso Buvoli

A modification of the standard Boris algorithm, called filtered Boris algorithm, is proposed for the numerical integration of the equations of motion of charged particles in a strong non-uniform magnetic field in the asymptotic scaling…

Numerical Analysis · Mathematics 2019-07-18 Ernst Hairer , Christian Lubich , Bin Wang

An electrostatic, implicit particle-in-cell (PIC) model for collisionless, fully magnetized, paraxial plasma expansions in a magnetic nozzle is introduced with exact charge, energy, and magnetic moment conservation properties. The approach…

Plasma Physics · Physics 2024-05-14 Pedro Jimenez , Luis Chacon , Mario Merino

We present an adaptive arbitrary-order accurate time-stepping numerical scheme for the flow of vesicles suspended in Stokesian fluids. Our scheme can be summarized as an approximate implicit spectral deferred correction (SDC) method.…

Numerical Analysis · Mathematics 2014-05-27 Bryan Quaife , George Biros

The acceleration of protons and electrons in a reconnecting current sheet (RCS) is simulated with a particle-in-cell (PIC) 2D3V code for the proton-to-electron mass ratio of 100. The electro-magnetic configuration forming the RCS…

Solar and Stellar Astrophysics · Physics 2015-05-13 Taras V. Siversky , Valentina V. Zharkova

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…

Numerical Analysis · Mathematics 2025-12-04 Francis Filbet , L Miguel Rodrigues , Kim Han Trinh

This paper presents a semi-implicit spectral deferred correction (SDC) method for incompressible Navier-Stokes problems with variable viscosity and time-dependent boundary conditions. The proposed method integrates elements of velocity- and…

Numerical Analysis · Mathematics 2020-10-28 Jörg Stiller

Across many plasma applications, the underlying phenomena and interactions among the involved processes are known to exhibit three-dimensional characteristics. Furthermore, the global properties and evolution of plasma systems are often…

Plasma Physics · Physics 2024-11-11 Maryam Reza , Farbod Faraji , Aaron Knoll

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…

Computational Physics · Physics 2018-01-09 D. Y. Na , H. Moon , Y. A. Omelchenko , F. L. Teixeira

This paper discusses a novel fully implicit formulation for a 1D electrostatic particle-in-cell (PIC) plasma simulation approach. Unlike earlier implicit electrostatic PIC approaches (which are based on a linearized Vlasov-Poisson…

Computational Physics · Physics 2015-03-17 Guangye Chen , Luis Chacón , Daniel C. Barnes

This paper focuses on efficient steady-state computations of induction machines. In particular, the periodic Parareal algorithm with initial-value coarse problem (PP-IC) is considered for acceleration of classical time-stepping simulations…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Denys Bast , Iryna Kulchytska-Ruchka , Sebastian Schöps , Oliver Rain

We describe an implementation of a particle physics module available for the PLUTO code, appropriate for the dynamical evolution of a plasma consisting of a thermal fluid and a non-thermal component represented by relativistic charged…

High Energy Astrophysical Phenomena · Physics 2018-05-23 A. Mignone , G. Bodo , B. Vaidya , G. Mattia

This work discusses the design and testing of a new computational spintronics research software. Boris is a comprehensive multi-physics open-source software, combining micromagnetics modelling capabilities with drift-diffusion spin…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 Serban Lepadatu

This paper introduces a novel data-driven convergence booster that not only accelerates convergence but also stabilizes solutions in cases where obtaining a steady-state solution is otherwise challenging. The method constructs a…

Fluid Dynamics · Physics 2025-04-09 Xukun Wang , Yilang Liu , Xiang Yang , Weiwei Zhang

We describe Pegasus, a new hybrid-kinetic particle-in-cell code tailored for the study of astrophysical plasma dynamics. The code incorporates an energy-conserving particle integrator into a stable, second-order--accurate, three-stage…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Matthew W. Kunz , James M. Stone , Xue-Ning Bai

We show that adaptive time stepping in particle accelerator simulation is an enhancement for certain problems. The new algorithm has been implemented in the OPAL (Object Oriented Parallel Accelerator Library) framework, and is compared to…

Mathematical Physics · Physics 2012-11-16 Matthias Toggweiler , Andreas Adelmann , Peter Arbenz , Jianjun J. Yang

Particle-in-Cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we developed a canonical symplectic PIC method for the…

Numerical simulations of relativistic plasmas have become more feasible, popular, and crucial for various astrophysical sources with the availability of computational resources. The necessity for high-accuracy particle dynamics is…

High Energy Astrophysical Phenomena · Physics 2024-07-24 L. Du Plessis , C. Venter , A. K. Harding , Z. Wadiasingh , C. Kalapotharakos , P. Els

The efficient computation of the overdamped, random motion of micron and nanometre scale particles in a viscous fluid requires novel methods to obtain the hydrodynamic interactions, random displacements and Brownian drift at minimal cost.…

Computational Physics · Physics 2022-08-10 Timothy A Westwood , Blaise Delmotte , Eric E Keaveny