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Recent increases in supercomputing power, driven by the multi-core revolution and accelerators such as the IBM Cell processor, graphics processing units (GPUs) and Intel's Many Integrated Core (MIC) technology have enabled kinetic…

The equations of general relativistic magnetohydrodynamics (GRMHD) have become the standard mathematical framework for modeling high-energy plasmas in curved spacetimes. However, the fragility of the primitive variable reconstruction…

General Relativity and Quantum Cosmology · Physics 2025-10-31 Jonathan Gorard , James Juno , Ammar Hakim

A novel 3-D higher-order finite-difference time-domain framework with complex frequency-shifted perfectly matched layer for the modeling of wave propagation in cold plasma is presented. Second- and fourth-order spatial approximations are…

Plasma Physics · Physics 2013-10-25 Konstantinos P. Prokopidis

We construct a relativistic resistive magneto-hydrodynamic (RRMHD) numerical simulation code for high-energy heavy-ion collisions. We split the system of differential equations into two parts, a non-stiff and a stiff part. For the non-stiff…

Nuclear Theory · Physics 2023-04-05 Kouki Nakamura , Takahiro Miyoshi , Chiho Nonaka , Hiroyuki R. Takahashi

More and more massive parallel codes running on several hundreds of thousands of cores enter the computational science and engineering domain, allowing high-fidelity computations on up to trillions of unknowns for very detailed analyses of…

Performance · Computer Science 2018-07-18 Christoph Ertl , Jérôme Frisch , Ralf-Peter Mundani

Even though compressible plasma turbulence is encountered in many astrophysical phenomena, its effect is often not well understood. Furthermore, direct numerical simulations are typically not able to reach the extreme parameters of these…

Fluid Dynamics · Physics 2016-07-27 P. Grete , D. G. Vlaykov , W. Schmidt , D. R. G. Schleicher

The hybrid method combining particle-in-cell and magnetohydrodynamics can be used to study the interaction between energetic particles and global plasma modes. In this paper we introduce the M3D-C1-K code, which is developed based on the…

Plasma Physics · Physics 2022-03-23 Chang Liu , Stephen C. Jardin , Hong Qin , Jianyuan Xiao , Nathaniel M. Ferraro , Joshua Breslau

The document describes a numerical algorithm for plasms and fluids by the Lagrange method, in which the spatial meshes follow the plasma and fluid behavior. Through the mesh wall the plasma and the fluid do not escape. The 3D Lagrange code…

Computational Physics · Physics 2020-03-04 Shigeo Kawata

Over the past decades, multiple gyrokinetic codes have shown to be able to simulate turbulence and associated transport in the core of Tokamak devices. However, their application to the edge and scrape-off layer (SOL) region presents…

This report describes a new magnetohydrodynamic numerical model based on a hexagonal spherical geodesic grid. The model is designed to simulate astrophysical flows of partially ionized plasmas around a central compact object, such as a star…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 V. Florinski , X. Guo , D. S. Balsara , C. Meyer

We describe a simple practical numerical method for simulating plasma driven within a vacuum chamber by a pulsed power generator. Typically, in this type of simulation, the vacuum region adjacent to the plasma is approximated as a highly…

Simulation of turbulent flows at high Reynolds number is a computationally challenging task relevant to a large number of engineering and scientific applications in diverse fields such as climate science, aerodynamics, and combustion.…

Computational Physics · Physics 2020-10-06 Jaideep Pathak , Mustafa Mustafa , Karthik Kashinath , Emmanuel Motheau , Thorsten Kurth , Marcus Day

Aims. The main goal of the present paper is to provide the first systematic numerical study of the propagation of astrophysical relativistic jets, in the context of high-resolution shock-capturing resistive relativistic magnetohydrodynamics…

High Energy Astrophysical Phenomena · Physics 2023-11-03 Giancarlo Mattia , Luca Del Zanna , Matteo Bugli , Andrea Pavan , Riccardo Ciolfi , Gianluigi Bodo , Andrea Mignone

Mesoscopic simulations of hydrocarbon flow in source shales are challenging, in part due to the heterogeneous shale pores with sizes ranging from a few nanometers to a few micrometers. Additionally, the sub-continuum fluid-fluid and…

Computational Physics · Physics 2019-09-13 Yidong Xia , Ansel Blumers , Zhen Li , Lixiang Luo , Yu-Hang Tang , Joshua Kane , Hai Huang , Matthew Andrew , Milind Deo , Jan Goral

We study the properties of chaotic motions in the intra cluster medium using a set of 20 galaxy clusters simulated with large dynamical range, using the Adaptive Mesh Refinement code ENZO (e.g. Norman et al.2007). The adopted setup allows…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 F. Vazza , G. Brunetti , C. Gheller , R. Brunino , M. Brüggen

This study investigates the applicability of the semi-implicit particle-in-cell code FLEKS to heliospheric shock simulations. We examine one- and two-dimensional local planar shock simulations, initialized using MHD states with upstream…

Space Physics · Physics 2025-10-31 Hongyang Zhou , Yuxi Chen , Chuanfei Dong , Liang Wang , Ying Zou , Brian Walsh , Gábor Tóth

We present a numerical solver for plasma dynamics simulations in Hall magnetohydrodynamic (HMHD) approximation in one, two and three dimensions. We consider both isotropic and anisotropic thermal pressure cases, where a general gyrotropic…

Computational Physics · Physics 2016-10-31 Marek Strumik , Krzysztof Stasiewicz

The plasmoid instability may lead to fast magnetic reconnection through long current sheets(CS). It is well known that large-Reynolds-number plasmas easily become turbulent. We address the question whether turbulence enhances the energy…

Plasma Physics · Physics 2016-05-03 Fabien Widmer , Jörg Büchner , Nobumitsu Yokoi

We investigate the ideal and incompressible magnetohydrodynamic (MHD) equations in three space dimensions for the development of potentially singular structures. The methodology consists in implementing the four-fold symmetries of the…

Plasma Physics · Physics 2015-06-05 M. E. Brachet , M. D. Bustamante , G. Krstulovic , P. D. Mininni , A. Pouquet , D. Rosenberg

The complex small-scale statistics of turbulence are a result of the combined cascading dynamics through all scales of the flow. Predicting these statistics using fully resolved simulations at the high Reynolds numbers that typically occur…

Fluid Dynamics · Physics 2025-07-01 Lukas Bentkamp , Michael Wilczek