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High-intensity laser plasma interactions create complex computational problems because they involve both fluid and kinetic regimes, which need models that maintain physical precision while keeping computational speed. The research…

Plasma Physics · Physics 2025-10-14 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

Particle-in-Cell (PIC) methods are widely used computational tools for fluid and kinetic plasma modeling. While both the fluid and kinetic PIC approaches have been successfully used to target either kinetic or fluid simulations, little was…

A macroscopic model to describe the dynamics of ion transport in ion channels is the Poisson-Nernst-Planck(PNP) equations. In this paper, we develop a finite-difference method for solving PNP equations, which is second-order accurate in…

Numerical Analysis · Mathematics 2013-03-18 Allen Flavell , Michael Machen , Bob Eisenberg , Chun Liu , Xiaofan Li

A theoretical formulation of lattice Boltzmann models on a general curvilinear coordinate system is presented. It is based on a volumetric representation so that mass and momentum are exactly conserved as in the conventional lattice…

Fluid Dynamics · Physics 2024-01-31 Hudong Chen

Explicit high-order non-canonical symplectic particle-in-cell algorithms for classical particle-field systems governed by the Vlasov-Maxwell equations are developed. The algorithm conserves a discrete non-canonical symplectic structure…

Plasma Physics · Physics 2016-03-15 Jianyuan Xiao , Hong Qin , Jian Liu , Yang He , Ruili Zhang , Yajuan Sun

Recent studies have demonstrated the possibility of accelerating electrons to MeV energies in ambient air using tightly focused laser configurations. In this article, we explore possible strategies to control and optimize the resulting…

A model of an electron-beam-plasma system is introduced to model the electrical breakdown physics of low-pressure nitrogen irradiated by an intense pulsed electron beam. The rapidly rising beam current induces an electric field which drives…

A new approach for describing the effective electronic states of "atoms in compounds" to study the properties of molecules and condensed matter which are circumscribed by the operators heavily concentrated in atomic cores is proposed. Among…

Chemical Physics · Physics 2014-12-02 Anatoly V. Titov , Yuriy V. Lomachuk , Leonid V. Skripnikov

The treatment of complex geometries in Computational Fluid Dynamics applications is a challenging endeavor, which immersed boundary and cut-cell techniques can significantly simplify by alleviating the meshing process required by…

Computational Physics · Physics 2022-11-22 Alejandro Quirós Rodríguez , Tomas Fullana , Vincent Le Chenadec , Taraneh Sayadi

Electromagnetic particle-in-cell (PIC) codes are widely used to perform computer simulations of a variety of physical systems, including fusion plasmas, astrophysical plasmas, plasma wakefield particle accelerators, and secondary photon…

Computational Physics · Physics 2022-07-20 Edoardo Zoni , Remi Lehe , Olga Shapoval , Daniel Belkin , Neil Zaïm , Luca Fedeli , Henri Vincenti , Jean-Luc Vay

We present a novel structure-preserving framework for solving the Vlasov-Poisson-Landau system of equations using a particle in cell (PIC) discretization combined with discrete gradient time integrators. The Vlasov-Poisson-Landau system is…

Plasma Physics · Physics 2026-02-16 Daniel S. Finn , Joseph V. Pusztay , Matthew G. Knepley , Mark F. Adams

Electron self-injection and acceleration until dephasing in the blowout regime is studied for a set of initial conditions typical of recent experiments with 100 terawatt-class lasers. Two different approaches to computationally efficient,…

We introduce a simplified model of the electron-beam/plasma system to model the electrical breakdown caused by the inductive electric field created by a rapidly rising electron beam current. The rigid-beam model is a reduction to the…

Plasma Physics · Physics 2021-03-05 S. B. Swanekamp , A. S. Richardson , Tz. B. Petrova , P. E. Adamson

Particle-mesh simulations trade small-scale accuracy for speed compared to traditional, computationally expensive N-body codes in cosmological simulations. In this work, we show how a data-driven model could be used to learn an effective…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-01 Nicolas Payot , Pablo Lemos , Laurence Perreault-Levasseur , Carolina Cuesta-Lazaro , Chirag Modi , Yashar Hezaveh

In the paper, gridless particle techniques are presented in order to solve problems involving electrostatic, collisionless plasmas. The method makes use of computational particles having the shape of spherical shells or of rings, and can be…

Plasma Physics · Physics 2019-01-24 E. Boella , G. Coppa , A. D Angola , B. Peiretti Paradisi

A basic model for describing plasma dynamics is given by the Euler-Maxwell system, in which compressible ion and electron fluids interact with their own self-consistent electromagnetic field. In this paper we consider the "one-fluid"…

Analysis of PDEs · Mathematics 2017-05-24 Yu Deng , Alexandru D. Ionescu , Benoit Pausader

Particle-in-cell methods couple mesh-based methods for the solution of continuum mechanics problems, with the ability to advect and evolve particles. They have a long history and many applications in scientific computing. However, they have…

Numerical Analysis · Mathematics 2019-09-12 R. Gassmoeller , E. Heien , E. G. Puckett , W. Bangerth

Cosmic-ray acceleration processes in astrophysical plasmas are often investigated with fully-kinetic or hybrid kinetic numerical simulations, which enable us to describe a detailed microphysics of particle energization mechanisms. Tracing…

High Energy Astrophysical Phenomena · Physics 2025-02-12 Gabriel Torralba Paz , Artem Bohdan , Jacek Niemiec

Studying single-particle dynamics over many periods of oscillations is a well-understood problem solved using symplectic integration. Such integration schemes derive their update sequence from an approximate Hamiltonian, guaranteeing that…

Computational Physics · Physics 2016-03-23 Stephen D. Webb

We present a new hybrid algorithm implemented in the code CHIEF (Code Hybrid with Inertial Electron Fluid) for simulations of electron-ion plasmas. The algorithm treats the ions kinetically, modeled by the Particle-in-Cell (PiC) method, and…

Plasma Physics · Physics 2018-02-27 P. A. Muñoz , N. Jain , P. Kilian , J. Büchner
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