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Electrical resistivity plays a fundamental role in many astrophysical systems, influencing the evolution of the magnetic field and energy dissipation processes. During the coalescence of two neutron stars, resistive effects can…

General Relativity and Quantum Cosmology · Physics 2025-09-15 Franceschetti Kevin , De Pietri Roberto

We study an anisotropic system arising in magnetohydrodynamics (MHD) in the whole space R^3 , in the case where there are no diffusivity in the vertical direction and only a small diffusivity in the horizontal direction (of size…

Analysis of PDEs · Mathematics 2017-08-15 Van-Sang Ngo

Accreting neutron stars can power a wide range of astrophysical phenomena including short- and long-duration gamma-ray bursts, ultra-luminous X-ray sources, and X-ray binaries. Numerical simulations are a valuable tool for studying the…

High Energy Astrophysical Phenomena · Physics 2018-01-08 Kyle Parfrey , Alexander Tchekhovskoy

We present results of models of the physical space and parameters of the accretion disk of Sagittarius A*, as well as simulations of its emergent spectrum. This begins with HARM, a 2D general relativistic magneto-hydrodynamic (GRMHD) model,…

High Energy Astrophysical Phenomena · Physics 2011-04-18 Guy Hilburn , Edison Liang , Siming Liu , Hui Li

We present MHDuet, an open source evolution code for general relativistic magnetohydrodynamics with neutrino transport. The code solves the full set of Einstein equations coupled to a relativistic, magnetized fluid with an M1 neutrino…

This paper resolves the global regularity problem for the three-dimensional compressible magnetohydrodynamics (MHD) equations in the three-dimensional whole space, in the presence of a background magnetic field. Motivated by geophysical…

Analysis of PDEs · Mathematics 2026-05-13 Jincheng Gao , Xianpeng Hu , Lianyun Peng , Jiahong Wu

A new general relativistic magnetohydrodynamics (GRMHD) code ``RAISHIN'' used to simulate jet generation by rotating and non-rotating black holes with a geometrically thin Keplarian accretion disk finds that the jet develops a spine-sheath…

Astrophysics · Physics 2009-06-23 Philip Hardee , Yosuke Mizuno , Ken-Ichi Nishikawa

Relativistic jets are collimated plasma outflows with relativistic speeds. Astrophysical objects involving relativistic jets are a system comprising a compact object such as a black hole, surrounded by rotating accretion flows, with the…

High Energy Astrophysical Phenomena · Physics 2022-02-01 Yosuke Mizuno

A fully general relativistic description of the pulsar magnetosphere is provided. To be more concrete, a study of the pulsar magnetosphere is performed in the context of general relativistic magnetohydrodynamics (MHD) employing the…

Astrophysics · Physics 2007-05-23 Hongsu Kim , Hyung Mok Lee , Chul H. Lee , Hyun Kyu Lee

We present a new general relativistic magnetohydrodynamics (GRMHD) code integrated into the Athena++ framework. Improving upon the techniques used in most GRMHD codes, ours allows the use of advanced, less diffusive Riemann solvers, in…

High Energy Astrophysical Phenomena · Physics 2016-08-17 Christopher J. White , James M. Stone , Charles F. Gammie

We report on the development of Mezcal-SRHD, a new adaptive mesh refinement, special relativistic hydrodynamics (SRHD) code, developed with the aim of studying the highly relativistic flows in Gamma-Ray Burst sources. The SRHD equations are…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Fabio De Colle , Jonathan Granot , Diego Lopez-Camara , Enrico Ramirez-Ruiz

In this chapter, we aim at presenting the basic techniques necessary to go beyond the widely accepted paradigm of second-order numerics. We specifically focus on finite-volume schemes for hyperbolic conservation laws occuring in fluid…

Numerical Analysis · Mathematics 2024-07-29 Jean-Mathieu Teissier , Wolf-Christian Müller

The paper describes a new upwind conservative numerical scheme for special relativistic resistive magnetohydrodynamics with scalar resistivity. The magnetic field is kept approximately divergence free and the divergence of the electric…

Astrophysics · Physics 2009-11-13 S. S. Komissarov

One of the main challenges in the numerical modeling of binary neutron-star (BNS) mergers is long-term simulations of the post-merger remnant over timescales of the order of seconds. When this modeling includes all the aspects of complex…

General Relativity and Quantum Cosmology · Physics 2024-04-11 Harry Ho-Yin Ng , Jin-Liang Jiang , Carlo Musolino , Christian Ecker , Samuel D. Tootle , Luciano Rezzolla

We perform three-dimensional general relativistic magnetohydrodynamic (GRMHD) simulations of a near-maximally spinning black hole (spin parameter, a = 0.998) with varying initial magnetic field geometries, systematically exploring the…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Rohan Raha , Banibrata Mukhopadhyay , Koushik Chatterjee

We present a method for simulating the evolution of HII regions driven by point sources of ionizing radiation in magnetohydrodynamic media, implemented in the three-dimensional Athena MHD code. We compare simulations using our algorithm to…

Astrophysics · Physics 2009-11-11 Mark R. Krumholz , James M. Stone , Thomas A. Gardiner

We present a detailed study of localised magnetohydrodynamical (MHD) instabilities occuring in two--dimensional magnetized accretion disks. We model axisymmetric MHD disk tori, and solve the equations governing a two--dimensional magnetized…

Astrophysics · Physics 2011-07-08 J. W. S. Blokland , R. Keppens , J. P. Goedbloed

We present our numerical results of two-dimensional magnetohydrodynamic (MHD) simulations of the collapse of rotating massive stars in light of the collapsar model of gamma-ray bursts (GRBs). Pushed by recent evolution calculations of GRB…

High Energy Astrophysical Phenomena · Physics 2009-10-02 Seiji Harikae , Tomoya Takiwaki , Kei Kotake

We construct a new three-dimensional general relativistic magnetohydrodynamics code, in which a fixed mesh refinement technique is implemented. To ensure the divergence-free condition as well as the magnetic flux conservation, we employ the…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Kenta Kiuchi , Koutarou Kyutoku , Masaru Shibata

Magnetic fields play an important role in astrophysics on a wide variety of scales, ranging from the Sun and compact objects to galaxies and galaxy clusters. Here we discuss a novel implementation of ideal magnetohydrodynamics (MHD) in the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-30 Ruediger Pakmor , Andreas Bauer , Volker Springel