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Related papers: A New MHD Code with Adaptive Mesh Refinement and P…

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The JOREK extended magneto-hydrodynamic (MHD) code is a widely used simulation code for studying the non-linear dynamics of large-scale instabilities in divertor tokamak plasmas. Due to the large scale-separation intrinsic to these…

Computational Physics · Physics 2021-10-27 I Holod , M Hoelzl , P S Verma , GTA Huijsmans , R Nies , JOREK Team

We introduce CAFE, a new independent code designed to solve the equations of Relativistic ideal Magnetohydrodynamics (RMHD) in 3D. We present the standard tests for a RMHD code and for the Relativistic Hydrodynamics (RHD) regime since we…

General Relativity and Quantum Cosmology · Physics 2015-09-23 F. D. Lora-Clavijo , A. Cruz-Osorio , F. S. Guzman

We compare two different codes for simulations of cosmological structure formation to investigate the sensitivity of hydrodynamical instabilities to numerics, in particular, the hydro solver and the application of adaptive mesh refinement…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-27 W. Schmidt , J. Schulz , L. Iapichino , F. Vazza , A. S. Almgren

We present a new implementation of radiation hydrodynamics (RHD) in the adaptive mesh refinement (AMR) code RAMSES. The multi-group radiative transfer (RT) is performed on the AMR grid with a first-order Godunov method using the M1 closure…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Joakim Rosdahl , Jeremy Blaizot , Dominique Aubert , Timothy Stranex , Romain Teyssier

A flexible spectral code for the study of general relativistic magnetohydrodynamics is presented. Aiming at investigating the physics of slowly rotating magnetized compact stars, this new code makes use of various physically motivated…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Bonazzola , L. Villain , M. Bejger

Fully realizing the potential of multigrid solvers often requires custom algorithms for a given application model, discretizations and even regimes of interest, despite considerable effort from the applied math community to develop fully…

Plasma Physics · Physics 2023-02-22 Mark F. Adams , Matthew K. Knepley

We modify an existing magnetohydrodynamics algorithm to make it more compatible with a dimensionally-split (DS) framework. It is based on the standard reconstruct-solve-average strategy (using a Riemann solver), and relies on constrained…

Instrumentation and Methods for Astrophysics · Physics 2013-05-17 Hari Sriskantha , Maximilian Ruffert

The relativistic hydrodynamics (RHD) equations can give rise to solutions which have shocks, contact discontinuities, and other sharp structures, which interact and evolve over time. Capturing these sharp waves effectively requires a mesh…

Numerical Analysis · Mathematics 2026-04-23 Sujoy Basak , Arpit Babbar , Harish Kumar , Praveen Chandrashekar

In this paper we present a novel pressure-based semi-implicit finite volume solver for the equations of compressible ideal, viscous and resistive magnetohydrodynamics (MHD). The new method is conservative for mass, momentum and total energy…

Numerical Analysis · Mathematics 2018-12-26 Michael Dumbser , Dinshaw S. Balsara , Maurizio Tavelli , Francesco Fambri

Higher order finite volume schemes for magnetohydrodynamics (MHD) and relativistic magnetohydrodynamics (RMHD) are very valuable because they allow us to carry out astrophysical simulations with very high accuracy. However, astrophysical…

Instrumentation and Methods for Astrophysics · Physics 2025-06-16 Dinshaw S. Balsara , Deepak Bhoriya , Chetan Singh , Harish Kumar , Roger Käppeli , Federico Gatti

We present the AGATE simulation code, a Python-based framework developed primarily for solving the magnetohydrodynamics (MHD) equations while maintaining adaptability to other equation sets. The code employs a modular, object-oriented…

Plasma Physics · Physics 2025-05-15 Chris Bard , John Dorelli

In this paper, we consider numerical approximations for solving the inductionless magnetohydrodynamic (MHD) equations. By utilizing the scalar auxiliary variable (SAV) approach for dealing with the convective and coupling terms, we propose…

Numerical Analysis · Mathematics 2023-03-21 Xiaodi Zhang , Xianghai Zhou

We present the methodology and performance of the new Lagrangian hydrodynamics code MAGMA2, a Smoothed Particle Hydrodynamics code that benefits from a number of non-standard enhancements. By default it uses high-order smoothing kernels and…

Instrumentation and Methods for Astrophysics · Physics 2020-09-02 Stephan Rosswog

Magnetohydrodynamics (MHD) couples the Navier--Stokes and Maxwell equations into a nonlinear system of partial differential equations governing stellar interiors, astrophysical jets, fusion plasmas, and space weather. Numerical advances,…

High Energy Astrophysical Phenomena · Physics 2026-05-20 E. A. Huerta

Many problems at the forefront of theoretical astrophysics require the treatment of magnetized fluids in dynamical, strongly curved spacetimes. Such problems include the origin of gamma-ray bursts, magnetic braking of differential rotation…

Astrophysics · Physics 2009-11-10 Matthew D. Duez , Yuk Tung Liu , Stuart L. Shapiro , Branson C. Stephens

Space plasma simulations have seen an increase in the use of magnetohydrodynamic (MHD) with embedded Particle-in-Cell (PIC) models. This combined MHD-EPIC algorithm simulates some regions of interest using the kinetic PIC method while…

Plasma Physics · Physics 2021-09-15 Yinsi Shou , Valeriy Tenishev , Yuxi Chen , Gabor Toth , Natalia Ganushkina

The new code for numerical simulation of magnetic hydrodynamical astrophysical flows with consideration of chemical reactions is given in the paper. At the heart of the code - the new original low-dissipation numerical method based on a…

Instrumentation and Methods for Astrophysics · Physics 2016-09-01 Igor Kulikov , Igor Chernykh , Viktor Protasov

In this paper we propose the first better than second order accurate method in space and time for the numerical solution of the resistive relativistic magnetohydrodynamics (RRMHD) equations on unstructured meshes in multiple space…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Michael Dumbser , Olindo Zanotti

We present an improved version of the ECHO-QGP numerical code, which self-consistently includes for the first time the effects of electromagnetic fields within the framework of relativistic magnetohydrodynamics (RMHD). We discuss results of…

High Energy Physics - Phenomenology · Physics 2017-01-12 Gabriele Inghirami , Luca Del Zanna , Andrea Beraudo , Mohsen Haddadi Moghaddam , Francesco Becattini , Marcus Bleicher

KHARMA (an acronym for "Kokkos-based High-Accuracy Relativistic Magnetohydrodynamics with Adaptive mesh refinement") is a new open-source code for conducting general-relativistic magnetohydrodynamic simulations in stationary spacetimes,…

High Energy Astrophysical Phenomena · Physics 2024-08-05 Ben S. Prather