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We developed a one-dimensional magnetohydrodynamic (MHD) simulation code to investigate the long-term evolution of protoplanetary disks with low computational cost. In this simulation code, the physical processes necessary for protostellar…

Earth and Planetary Astrophysics · Physics 2025-08-11 Yudai Kobayashi , Daisuke Takaishi , Yusuke Tsukamoto , Shantanu Basu

We study semi-analytical time-dependent solutions of the relativistic magnetohydrodynamic (MHD) equations for the fields and the fluid emerging from a spherical source. We assume uniform expansion of the field and the fluid and a polytropic…

High Energy Astrophysical Phenomena · Physics 2010-09-30 K. N. Gourgouliatos , N. Vlahakis

We consider the electron magnetohydrodynamics (MHD) in the context where the 3D magnetic field depends only on the two horizontal plane variables. In particular, the magnetic field takes the form $B=\nabla\times (a\vec e_z)+b\vec e_z$ with…

Analysis of PDEs · Mathematics 2026-02-23 Mimi Dai

We consider a framework for non-ideal magnetohydrodynamics in general relativity, paying particular attention to the physics involved. The discussion highlights the connection between the microphysics (associated with a given equation of…

High Energy Astrophysical Phenomena · Physics 2021-12-08 N. Andersson , I. Hawke , T. Celora , G. L. Comer

Multiphysics modeling of liquid metal fusion blankets, which produce tritium and convert energy of neutrons created via fusion reactions into heat, is crucial for predicting performance, ensuring structural integrity, and optimizing energy…

This article proposes a review of the analysis of the system of magnetohydrodynamics (MHD). First, we give an account of the modelling asumptions. Then, the results of existence of weak solutions, using the notion of renormalized solutions.…

Analysis of PDEs · Mathematics 2015-09-21 Xavier Blanc , Bernard Ducomet

Magnetised plasma turbulence pervades the universe and is likely to play an important role in a variety of astrophysical settings. Magnetohydrodynamics (MHD) provides the simplest theoretical framework in which phenomenological models for…

Plasma Physics · Physics 2012-07-23 Joanne Mason , Jean C. Perez , Stanislav Boldyrev , Fausto Cattaneo

Resistive relativistic magnetohydrodynamic (RRMHD) simulations are applied to investigate the system evolution of relativistic magnetic reconnection. A time-split Harten--Lan--van Leer method is employed. Under a localized resistivity, the…

High Energy Astrophysical Phenomena · Physics 2010-06-07 Seiji Zenitani , Michael Hesse , Alex Klimas

We propose two sets of initial conditions for magnetohydrodynamics (MHD) in which both the velocity and the magnetic fields have spatial symmetries that are preserved by the dynamical equations as the system evolves. When implemented…

Fluid Dynamics · Physics 2009-11-13 E. Lee , M. E. Brachet , A. Pouquet , P. D. Mininni , D. Rosenberg

The paper describes the unique geometric properties of ideal magnetohydrodynamics (MHD), and demonstrates how such features are inherited by extended MHD, viz. models that incorporate two-fluid effects (the Hall term and electron inertia).…

Plasma Physics · Physics 2016-06-03 Manasvi Lingam , George Miloshevich , Philip J. Morrison

We present results from the first fully general relativistic, magnetohydrodynamic (GRMHD) simulations of an equal-mass black hole binary (BHBH) in a magnetized, circumbinary accretion disk. We simulate both the pre and post-decoupling…

High Energy Astrophysical Phenomena · Physics 2012-12-04 Brian D. Farris , Roman Gold , Vasileios Paschalidis , Zachariah B. Etienne , Stuart L. Shapiro

We describe a Godunov-type magnetohydrodynamic (MHD) code based on the Miyoshi and Kusano (2005) solver which can be used to solve various astrophysical hydrodynamic and MHD problems. The energy equation is in the form of entropy…

Astrophysics of Galaxies · Physics 2015-12-16 A. V. Koldoba , G. V. Ustyugova , P. S. Lii , M. L. Comins , S. Dyda , M. M. Romanova , R. V. E. Lovelace

We present initial results from the first 3-dimensional numerical magnetohydrodynamical (MHD) simulations of magnetic field evolution in merging clusters of galaxies. Within the framework of idealized initial conditions similar to our…

Astrophysics · Physics 2009-10-31 K. Roettiger , J. M. Stone , J. O. Burns

We present a method for general relativistic smoothed particle hydrodynamics (GRSPH), based on an entropy-conservative form of the general relativistic hydrodynamic equations for a perfect fluid. We aim to replace approximate treatments of…

Instrumentation and Methods for Astrophysics · Physics 2019-01-25 David Liptai , Daniel J. Price

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…

We present the first general-relativistic resistive magnetohydrodynamics simulations of self-consistent, rotating neutron stars with mixed poloidal and toroidal magnetic fields. Specifically, we investigate the role of resistivity in the…

High Energy Astrophysical Phenomena · Physics 2026-04-28 Patrick Chi-Kit Cheong , Antonios Tsokaros , Milton Ruiz , Fabrizio Venturi , Juno Chun Lung Chan , Anson Ka Long Yip , Koji Uryu

A complete analytical and numerical treatment of all magnetohydrodynamic waves and instabilities for radially stratified, magnetized accretion disks is presented. The instabilities are a possible source of anomalous transport. While…

Astrophysics · Physics 2009-11-07 R. Keppens , F. Casse , J. P. Goedbloed

Magnetohydrodynamic simulations of core-collapse supernovae have become increasingly mature and important in recent years. Magnetic fields take center stage in scenarios for explaining hypernova explosions, but are now also considered in…

High Energy Astrophysical Phenomena · Physics 2024-03-29 Bernhard Müller

The main objective of this paper is to study the global strong solution of the parabolic-hyperbolic incompressible magnetohydrodynamic (MHD) model in two dimensional space. Based on Agmon, Douglis and Nirenberg's estimates for the…

Analysis of PDEs · Mathematics 2017-01-31 Ruikuan Liu , Jiayan Yang

Magnetic fields play an important role in many astrophysical systems and a detailed understanding of their impact on the gas dynamics requires robust numerical simulations. Here we present a new method to evolve the ideal…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Philip Mocz , Mark Vogelsberger , Lars Hernquist