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Numerous applications of Eikonal equations prompted the development of many efficient numerical algorithms. The Heap-Cell Method (HCM) is a recent serial two-scale technique that has been shown to have advantages over other serial…

Numerical Analysis · Mathematics 2014-10-02 Adam Chacon , Alexander Vladimirsky

All simulation approaches eventually face limits in computational scalability when applied to large spatiotemporal domains. This challenge becomes especially apparent in molecular-level particle simulations, where high spatial and temporal…

Computational Physics · Physics 2025-10-23 Matthias Busch , Gregor Häfner , Jiayu Xie , Marius Tacke , Marcus Müller , Christian J. Cyron , Roland C. Aydin

We present an adaptive methodology for the solution of (linear and) non-linear time dependent problems that is especially tailored for massively parallel computations. The basic concept is to solve for large blocks of space-time unknowns…

Computational Physics · Physics 2016-08-30 Robert Dyja , Baskar Ganapathysubramanian , Kristoffer G. van der Zee

The present paper studies two particle management strategies for dynamically adaptive Cartesian grids at hands of a particle-in-cell code. One holds the particles within the grid cells, the other within the grid vertices. The fundamental…

Data Structures and Algorithms · Computer Science 2016-01-11 T. Weinzierl , B. Verleye , P. Henri , D. Roose

Particle accelerator modeling is an important field of research and development, essential to investigating, designing and operating some of the most complex scientific devices ever built. Kinetic simulations of relativistic, charged…

Accelerator Physics · Physics 2024-05-02 Ryan T. Sandberg , Remi Lehe , Chad E. Mitchell , Marco Garten , Andrew Myers , Ji Qiang , Jean-Luc Vay , Axel Huebl

The Particle-In-Cell (PIC) method for plasma simulation tracks particle phase space information using particle and grid data structures. High computational costs in 2D and 3D device-scale PIC simulations necessitate parallelization, with…

Computational Physics · Physics 2025-06-27 Libn Varghese , Bhaskar Chaudhury , Miral Shah , Mainak Bandyopadhyay

While the particle-in-cell (PIC) method is quite mature, verification and validation of both newly developed methods and individual codes has largely focused on an idiosyncratic choice of a few test cases. Many of these test cases involve…

Computational Physics · Physics 2021-05-19 S. O'Connor , Z. D. Crawford , J. Verboncoeur , J. Lugisland , B. Shanker

Particle-In-Cell (PIC) methods are frequently used for kinetic, high-fidelity simulations of plasmas. Implicit formulations of PIC algorithms feature strong conservation properties, up to numerical round-off errors, and are not subject to…

Plasma Physics · Physics 2021-10-26 R. Kube , R. M. Churchill , B. Sturdevant

Particle filtering is a popular method for inferring latent states in stochastic dynamical systems, whose theoretical properties have been well studied in machine learning and statistics communities. In many control problems, e.g.,…

Machine Learning · Computer Science 2021-07-12 Simon S. Du , Wei Hu , Zhiyuan Li , Ruoqi Shen , Zhao Song , Jiajun Wu

Particle-in-cell (PIC) simulations with Monte-Carlo collisions are used in plasma science to explore a variety of kinetic effects. One major problem is the long run-time of such simulations. Even on modern computer systems, PIC codes take a…

Computational chemistry allows researchers to experiment in sillico: by running a computer simulations of a biological or chemical processes of interest. Molecular dynamics with molecular mechanics model of interactions simulates N-body…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-03 Jana Pazúriková

In particle-in-cell simulations, excessive or even unfeasible computational demands can be caused by the growth of the number of particles in the course of prolific ionization or cascaded pair production due to the effects of quantum…

Computational Physics · Physics 2021-01-25 A. Muraviev , A. Bashinov , E. Efimenko , V. Volokitin , I. Meyerov , A. Gonoskov

The auto differentiable simulation is a type of simulation that outputs of the simulation include not only the simulation result itself, but also their derivatives with respect to various input parameters. It provides an efficient method to…

Computational Physics · Physics 2025-12-01 Ji Qianga , Yue Hao , Allen Qiang , Jinyu Wan

We have developed a parallel Particle-Particle, Particle-Mesh (P3M) simulation code for the Cray T3E parallel supercomputer that is well suited to studying the time evolution of systems of particles interacting via gravity and gas forces in…

Astrophysics · Physics 2009-10-30 Tom MacFarland , H. M. P. Couchman , F. R. Pearce , Jakob Pichlmeier

With the great development of parallel computing techniques, the particle-particle (PP) model has been successfully applied in a number of plasma applications. Comparing to particle-mesh (PM) models, for example the widely used…

Plasma Physics · Physics 2025-06-10 Yanan Zhang , Xiaochun Ma , Hui Liu , Yinjian Zhao

A parallel, relativistic, three-dimensional particle-in-cell code SPACE has been developed for the simulation of electromagnetic fields, relativistic particle beams, and plasmas. In addition to the standard second-order Particle-in-Cell…

Computational Physics · Physics 2022-05-25 Kwangmin Yu , Prabhat Kumar , Shaohua Yuan , Aiqi Cheng , Roman Samulyak

A particle-in-cell algorithm is derived with a canonical Poisson structure in the formalism of finite element exterior calculus. The resulting method belongs to the class of gauge-compatible splitting algorithms, which exactly preserve…

Plasma Physics · Physics 2022-05-05 Alexander S. Glasser , Hong Qin

This article describes a geometric partitioning software that can be used for quick computation of data partitions on many-core HPC machines. It is most suited for dynamic applications with load distributions that vary with time.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-19 Aparna Sasidharan

This paper concerns development of a high-performance implementation of the Particle-in-Cell method for plasma simulation on Intel Xeon Phi coprocessors. We discuss suitability of the method for Xeon Phi architecture and present our…

Computational Physics · Physics 2016-08-05 I. A. Surmin , S. I. Bastrakov , E. S. Efimenko , A. A. Gonoskov , A. V. Korzhimanov , I. B. Meyerov

For problems in astrophysics, planetary science and beyond, numerical simulations are often limited to simulating fewer particles than in the real system. To model collisions, the simulated particles (aka superparticles) need to be inflated…

Earth and Planetary Astrophysics · Physics 2020-06-03 David Nesvorny , Andrew N. Youdin , Raphael Marschall , Derek C. Richardson