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The paper presents two contributions in the context of the numerical simulation of magnetized fluid dynamics. First, we show how to extend the ideal magnetohydrodynamics (MHD) equations with an inbuilt magnetic field divergence cleaning…

Computational Physics · Physics 2018-04-20 Dominik Derigs , Andrew R. Winters , Gregor J. Gassner , Stefanie Walch , Marvin Bohm

The distribution of Helium in the intracluster medium (ICM) permeating galaxy clusters is not well constrained due to the very high plasma temperature. Therefore, the plasma is often assumed to be homogeneous. A non-uniform Helium…

High Energy Astrophysical Phenomena · Physics 2020-06-04 Thomas Berlok , Martin E. Pessah

The 3D quasi-static particle-in-cell (PIC) algorithm is a very efficient method for modeling short-pulse laser or relativistic charged particle beam-plasma interactions. In this algorithm, the plasma response to a non-evolving laser or…

Computational Physics · Physics 2021-02-03 Fei Li , Weiming An , Viktor K. Decyk , Xinlu Xu , Mark J. Hogan , Warren B. Mori

This article serves as a summary outlining the mathematical entropy analysis of the ideal magnetohydrodynamic (MHD) equations. We select the ideal MHD equations as they are particularly useful for mathematically modeling a wide variety of…

Numerical Analysis · Mathematics 2017-08-14 Dominik Derigs , Gregor J. Gassner , Stefanie Walch , Andrew R. Winters

This paper presents a novel magnetohydrodynamics (MHD) system for planetary entry aerocapture. The system is advantaged over previous approaches by having the following two characteristics: (i) it can be deployed locally to one or various…

Plasma Physics · Physics 2025-08-08 Bernard Parent , Felipe Martin Rodriguez Fuentes , Spencer LaFoley

We describe a high-order numerical magnetohydrodynamics (MHD) solver built upon a novel non-linear entropy stable numerical flux function that supports eight travelling wave solutions. By construction the solver conserves mass, momentum,…

Astrophysics of Galaxies · Physics 2016-05-13 Dominik Derigs , Andrew R. Winters , Gregor J. Gassner , Stefanie Walch

The numerical study of relativistic magnetohydrodynamics (MHD) plays a crucial role in high-energy astrophysics, but unfortunately is computationally demanding, given the complex physics involved (high Lorentz factor flows, extreme…

High Energy Astrophysical Phenomena · Physics 2024-01-09 Luca Del Zanna , Simone Landi , Lorenzo Serafini , Matteo Bugli , Emanuele Papini

Magnetohydrodynamic (MHD) simulations based on the ideal MHD equations have become a powerful tool for modeling phenomena in a wide range of applications including laboratory, astrophysical, and space plasmas. In general, high-resolution…

Computational Physics · Physics 2010-11-23 Hon-Cheng Wong , Un-Hong Wong , Xueshang Feng , Zesheng Tang

Particle-in-Cell (PIC) methods have achieved widespread recognition as simple and flexible approaches to model collisionless plasma physics in fully kinetic simulations of astrophysical environments. However, in many situations the standard…

We present a description of the adaptive mesh refinement (AMR) implementation of the PLUTO code for solving the equations of classical and special relativistic magnetohydrodynamics (MHD and RMHD). The current release exploits, in addition…

High Energy Astrophysical Phenomena · Physics 2015-05-30 A. Mignone , C. Zanni , P. Tzeferacos , B. van Straalen , P. Colella , G. Bodo

We present a new code for astrophysical magneto-hydrodynamics specifically designed and optimized for high performance and scaling on modern and future supercomputers. We describe a novel hybrid OpenMP/MPI programming model that emerged…

Instrumentation and Methods for Astrophysics · Physics 2017-03-08 Peter Mendygral , Nick Radcliffe , Krishna Kandalla , David Porter , Brian J. O'Neill , Chris Nolting , Paul Edmon , Julius M. F. Donnert , Thomas W. Jones

We extend the co-scaling formalism of Habegger & Heitsch (2021) implemented in Athena++ to magneto-hydrodynamics. The formalism relies on flow symmetries in astrophysical problems involving expansion, contraction, and center-of-mass motion.…

Instrumentation and Methods for Astrophysics · Physics 2024-12-24 Fabian Heitsch , Roark Habegger

We study energy dissipation and heating by supersonic MHD turbulence in molecular clouds using Athena, a new higher-order Godunov code. We analyze the dependence of the saturation amplitude, energy dissipation characteristics, power…

Astrophysics · Physics 2011-02-11 M. Nicole Lemaster , James M. Stone

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

Room-temperature metals and semi-metals which consist of a gas of bound electrons in a near-continuum band structure can be classified as cold quantum plasmas. This insight suggests that Particle-in-Cell (PIC) simulations, traditionally…

Plasma Physics · Physics 2025-01-14 Gregory K. Ngirmang , Hue T. B. Do , Guangxin Liu , Michel Bosman , Lin Wu

Phenomena taking place in capacitively coupled plasmas with large electrodes and driven at very high frequencies are studied numerically utilizing a novel energy- and charge-conserving implicit fully electromagnetic particle-in-cell / Monte…

Plasma Physics · Physics 2023-05-17 D. Eremin , E. Kemaneci , M. Matsukuma , T. Mussenbrock , R. P. Brinkmann

In this paper, we develop an asymptotic-preserving and energy-conserving (APEC) Particle-In-Cell (PIC) algorithm for the Vlasov-Maxwell system. This algorithm not only guarantees that the asymptotic limiting of the discrete scheme is a…

Plasma Physics · Physics 2023-06-14 Lijie Ji , Zhiguo Yang , Zhuoning Li , Dong Wu , Shi Jin , Zhenli Xu

We present a reduced magnetohydrodynamic (MHD) mathematical model describing the dynamical behavior of highly conducting plasmas with frozen-in magnetic fields, constrained by the assumption that, there exists a frame of reference, where…

Plasma Physics · Physics 2022-02-23 Igor V Sokolov , Lulu Zhao , Tamas I Gombosi

Multi-particle collision dynamics (MPCD) is a mesoscopic simulation method to simulate fluid particle-like flows. MPCD has been widely used to simulate various problems in condensed matter. In this study, hydrostatic behavior of gas in the…

Computational Physics · Physics 2015-09-28 Asis Pattisahusiwa , Acep Purqon , Sparisoma Virid

We present an algorithm for simulating the equations of ideal magnetohydrodynamics and other systems of differential equations on an unstructured set of points represented by sample particles. Local, third-order, least-squares, polynomial…

Instrumentation and Methods for Astrophysics · Physics 2015-05-30 Jason L. Maron , Colin P. McNally , Mordecai-Mark Mac Low