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Lagrangian motions of fluid particles in a general velocity field oscillating in time are studied with the use of the two-timing method. Our aims are: (i) to calculate systematically the most general and practically usable asymptotic…

Fluid Dynamics · Physics 2015-09-22 Vladimir A. Vladimirov

The impressive progress of the kinetic schemes in the solution of gas dynamics problems and the development of effective parallel algorithms for modern high performance parallel computing systems led to the development of advanced methods…

Plasma Physics · Physics 2013-05-06 B. Chetverushkin , N. D'Ascenzo , V. Saveliev

The computational modeling of high-speed flows (e.g. hypersonic) and space plasmas is characterized by a plethora of complex physical phenomena, in particular involving strong oblique shocks, bow shocks and/or shock waves boundary layer…

Computational Physics · Physics 2025-11-19 Firas Ben Ameur , Andrea Lani

Diffusive transport processes in magnetized plasmas are highly anisotropic, with fast parallel transport along the magnetic field lines sometimes faster than perpendicular transport by orders of magnitude. This constitutes a major challenge…

Plasma Physics · Physics 2024-12-04 Federico D. Halpern , Min-Gu Yoo , Brendan Lyons , Juan Diego Colmenares

Plasmoid growth is considered to enhance the rate of magnetic reconnection and is frequently used to explain fast mag netic reconnection in highly conductive (collisionless) plasmas. In strongly magnetized plasmas, the long wavelength…

Plasma Physics · Physics 2026-03-09 F. F. Locker , M. Rinner , M. Held , A. Kendl

We compare, in an extensive and systematic way, linear theory results obtained with the hybrid (ion-kinetic and electron-fluid), the gyrokinetic and the fully-kinetic plasma models. We present a test case with parameters that are relevant…

Plasma Physics · Physics 2017-05-24 Enrico Camporeale , David Burgess

We present an explicit multiscale algorithm for solving differential equations for problems with high-frequency modes that can be averaged over by separating and scaling the fast and slow dynamics within a single equation. We introduce a…

Plasma Physics · Physics 2026-05-29 Maxwell H. Rosen , Manaure Francisquez , Gregory W. Hammett

Particle-wave interaction is of fundamental interest in plasma physics, especially in the study of runaway electrons in magnetic confinement fusion. Analogous to the concept of photons and phonons, wave packets in plasma can also be treated…

Numerical Analysis · Mathematics 2025-05-27 Kun Huang , Irene M. Gamba , Chi-Wang Shu

Magnetic reconnection is a fundamental process that quickly releases magnetic energy stored in a plasma.Identifying, from simulation outputs, where reconnection is taking place is non-trivial and, in general, has to be performed by human…

Computational Physics · Physics 2020-09-09 A. Hu , M. Sisti , F. Finelli , F. Califano , J. Dargent , M. Faganello , E. Camporeale , J. Teunissen

We explore a novel simulation route for Plasma Wakefield Acceleration (PWFA) by using the computational method known as the Lattice Boltzmann Method (LBM). LBM is based on a discretization of the continuum kinetic theory while assuring the…

Semi-Lagrangian (SL) schemes are highly efficient for simulating transport equations and are widely used across various applications. Despite their success, designing genuinely multi-dimensional and conservative SL schemes remains a…

Numerical Analysis · Mathematics 2024-05-06 Yongsheng Chen , Wei Guo , Xinghui Zhong

We propose a methodology to infer collision operators from phase space data of plasma dynamics. Our approach combines a differentiable kinetic simulator, whose core component in this work is a differentiable Fokker-Planck solver, with a…

Plasma Physics · Physics 2026-01-19 Diogo D. Carvalho , Pablo J. Bilbao , Warren B. Mori , Luis O. Silva , E. Paulo Alves

The cascade remapping method, originally proposed by Nair et al. (2002) for atmospheric modeling, enables efficient and mass conservative semi Lagrangian (SL) transport through successive one dimensional remapping. While widely used in…

Numerical Analysis · Mathematics 2025-11-24 Chunyang Xu , Michel Mehrenberger , Chang Yang

The simplified delta-f mixed-variable/pull-back electromagnetic simulation algorithm implemented in XGC for core plasma simulations by M. Cole et al. [Phys. Plasmas 28, 034501 (2021)] has been generalized to a total-f electromagnetic…

Plasma Physics · Physics 2024-06-19 Robert Hager , Seung-Hoe Ku , A. Y. Sharma , C. S. Chang , R. M. Churchill

The hybrid Vlasov-Maxwell system of equations is suitable to describe a magnetized plasma at scales of the order of or larger than proton kinetic scales. An exact stationary solution is presented by revisiting previous results with a…

Plasma Physics · Physics 2018-06-06 F. Malara , O. Pezzi , F. Valentini

Representing the electrodynamics of relativistically drifting particle ensembles in discrete, co-propagating Galilean coordinates enables the derivation of a Particle-in-Cell algorithm that is intrinsically free of the Numerical Cherenkov…

Work presented in this paper describes a general algorithm and its finite element implementation for performing concurrent multiple sub-domain simulations in linear structural dynamics. Using this approach one can solve problems in which…

Numerical Analysis · Mathematics 2013-12-25 Tejas Ruparel , Azim Eskandarian , James Lee

Numerical modelling is an essential approach to understanding the behavior of thermal plasmas in various industrial applications. We propose a deep learning method for solving the partial differential equations in thermal plasma models. In…

Computational Physics · Physics 2020-08-06 Linlin Zhong , Qi Gu , Bingyu Wu

Magneto-hydrodynamics is one of the foremost models in plasma physics with applications in inertial confinement fusion, astrophysics and elsewhere. Advanced numerical methods are needed to get an insight into the complex physical phenomena.…

Computational Physics · Physics 2022-03-29 Jan Nikl , Milan Kuchařík , Stefan Weber

Simulating plasmas in the Hall-MagnetoHydroDynamics (Hall-MHD) regime represents a valuable {approach for the investigation of} complex non-linear dynamics developing in astrophysical {frameworks} and {fusion machines}. Taking into account…