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Fully compressible magnetohydrodynamic (MHD) simulations are a fundamental tool for investigating the role of dynamo amplification in the generation of magnetic fields in deep convective layers of stars. The flows that arise in such…

Solar and Stellar Astrophysics · Physics 2022-12-21 G. Leidi , C. Birke , R. Andrassy , J. Higl , P. V. F. Edelmann , G. Wiest , C. Klingenberg , F. K. Röpke

This paper describes the first steps of development of a new multidimensional time implicit code devoted to the study of hydrodynamical processes in stellar interiors. The code solves the hydrodynamical equations in spherical geometry and…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 M. Viallet , I. Baraffe , R. Walder

Numerical simulations of magneto-convection have greatly expanded our understanding of stellar interiors and stellar magnetism. Recently, fully compressible hydrodynamical simulations of full-star models have demonstrated the feasibility of…

Solar and Stellar Astrophysics · Physics 2022-08-03 José R. Canivete Cuissa , Romain Teyssier

Realistic numerical simulations, i.e., those that make minimal use of ad hoc modeling, are essential for understanding the complex turbulent dynamics of the interiors and atmospheres of the Sun and other stars and the basic mechanisms of…

Solar and Stellar Astrophysics · Physics 2015-07-30 Alan A. Wray , Khalil Bensassi , Irina N. Kitiashvili , Nagi N. Mansour , Alexander G. Kosovichev

We present Phantom, a fast, parallel, modular and low-memory smoothed particle hydrodynamics and magnetohydrodynamics code developed over the last decade for astrophysical applications in three dimensions. The code has been developed with a…

In this era of precision cosmology, a detailed physical understanding on the evolution of cosmic baryons is required. Cosmic magnetic fields, though still poorly understood, may represent an important component in the global cosmic energy…

Astrophysics · Physics 2015-06-24 Shengtai Li , Hui Li , Renyue Cen

We present a new magnetohydrodynamic (MHD) simulation code with the aim of providing accurate numerical solutions to astrophysical phenomena where discontinuities, shock waves, and turbulence are inherently important. The code implements…

We describe an implicit 1--D adaptive mesh hydrodynamics code that is specially tailored for radial stellar pulsations. In the Lagrangean limit the code reduces to the well tested Fraley scheme. The code has the useful feature that…

Astrophysics · Physics 2009-10-30 J. Robert Buchler , Zoltan Kollath , Ariel Marom

A new code for astrophysical magnetohydrodynamics (MHD) is described. The code has been designed to be easily extensible for use with static and adaptive mesh refinement. It combines higher-order Godunov methods with the constrained…

Astrophysics · Physics 2009-11-13 James M. Stone , Thomas A. Gardiner , Peter Teuben , John F. Hawley , Jacob B. Simon

Due to the prevalence of magnetic fields in astrophysical environments, magnetohydrodynamic (MHD) simulation has become a basic tool for studying astrophysical fluid dynamics. To further advance the precision of MHD simulations, we have…

High Energy Astrophysical Phenomena · Physics 2023-08-09 Jeongbhin Seo , Dongsu Ryu

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

We present for astrophysical use a multi-dimensional numerical code to solve the equations for ideal magnetohydrodynamics (MHD). It is based on an explicit finite difference method on an Eulerian grid, called the Total Variation Diminishing…

Astrophysics · Physics 2016-08-30 Dongsu Ryu , T. W. Jones , Adam Frank

Solving the problem of fast eruptive events in magnetically dominated astrophysical plasmas requires the use of particularly well adapted numerical tools. Indeed, the central mechanism based on magnetic reconnection is determined by a…

High Energy Astrophysical Phenomena · Physics 2019-08-07 Hubert Baty

We present a multi-dimensional numerical code to solve isothermal magnetohydrodynamic (IMHD) equations for use in modeling astrophysical flows. First, we have built a one-dimensional code which is based on an explicit finite-difference…

Astrophysics · Physics 2009-10-31 Jongsoo Kim , Dongsu Ryu , T. W. Jones , S. S. Hong

We present a new numerical code which solves the general relativistic magneto-hydrodynamics (GRMHD) equations coupled to the Einstein equations for the evolution of a dynamical spacetime within the conformally-flat approximation. This code…

Astrophysics · Physics 2009-11-13 Pablo Cerdá-Durán , José A. Font , Luis Antón , Ewald Müller

Although the influence of magnetic fields is regarded as vital in the star formation process, only a few magnetohydrodynamics (MHD) simulations have been performed on this subject within the smoothed particle hydrodynamics (SPH) method.…

Solar and Stellar Astrophysics · Physics 2015-05-19 Florian Bürzle , Paul C. Clark , Federico Stasyszyn , Thomas Greif , Klaus Dolag , Ralf S. Klessen , Peter Nielaba

In recent years, numerical simulations have become indispensable for addressing complex astrophysical problems. The MagnetoHydroDynamics (MHD) framework represents a key tool for investigating the dynamical evolution of astrophysical…

Instrumentation and Methods for Astrophysics · Physics 2025-09-18 Giancarlo Mattia , Daniele Crocco , David Melon Fuksman , Matteo Bugli , Vittoria Berta , Eleonora Puzzoni , Andrea Mignone , Bhargav Vaidya

Modelling long-time convective flows in the interiors of stars is extremely challenging using conventional compressible hydrodynamics codes due to the acoustic timestep limitation. Many of these flows are in the low Mach number regime,…

Computational Physics · Physics 2020-12-09 A. Harpole , D. Fan , M. P. Katz , A. J. Nonaka , D. E. Willcox , M. Zingale

This paper describes the design and implementation of our new multi-group, multi-dimensional radiation hydrodynamics (RHD) code Fornax and provides a suite of code tests to validate its application in a wide range of physical regimes.…

Instrumentation and Methods for Astrophysics · Physics 2019-03-06 M. Aaron Skinner , Joshua C. Dolence , Adam Burrows , David Radice , David Vartanyan

We present a new methodology for simulating self-gravitating general-relativistic fluids. In our approach the fluid is modelled by means of Lagrangian particles in the framework of a general-relativistic (GR) Smooth Particle Hydrodynamics…

General Relativity and Quantum Cosmology · Physics 2025-06-12 S. Rosswog , P. Diener
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