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Observations of magnetohydrodynamic (MHD) waves in the structured solar atmosphere have shown that these waves are damped and can thus contribute to atmospheric heating. In this paper, we focus on the damping mechanism of resonant…

Solar and Stellar Astrophysics · Physics 2021-02-17 Marcel Goossens , Shao-Xia Chen , Michaël Geeraerts , Bo Li , Tom Van Doorsselaere

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

3D Magnetohydrodynamic (MHD) turbulent flows with initially magnetic and kinetic energies at equipartition spontaneously develop a magnetic excess (or residual energy), as well in numerical simulations and in the solar wind. Closure…

Solar and Stellar Astrophysics · Physics 2016-04-27 Roland Grappin , Wolf-Christian Müller , Andrea Verdini

We present a new code designed to solve the equations of classical ideal magneto-hydrodynamics (MHD) in three dimensions, submitted to a constant gravitational field. The purpose of the code centers on the analysis of solar phenomena within…

Solar and Stellar Astrophysics · Physics 2015-10-22 J. J. Gonzalez-Aviles , A. Cruz-Osorio , F. D. Lora-Clavijo , F. S. Guzman

Previous studies have established that a weak-to-strong transition occurs in Alfvenic magnetohydrodynamic (MHD) turbulence as energy cascades from large to small scales. However, the spatiotemporal (frequency-wavenumber) properties of…

Plasma Physics · Physics 2026-03-10 Siqi Zhao , Huirong Yan , Terry Z. Liu , Chuanpeng Hou , Ka Ho Yuen

Methods to solve the relativistic hydrodynamic equations are a key computational kernel in a large number of astrophysics simulations and are crucial to understanding the electromagnetic signals that originate from the merger of…

Instrumentation and Methods for Astrophysics · Physics 2015-12-02 Jackson DeBuhr , Bo Zhang , Matthew Anderson , David Neilsen , Eric W. Hirschmann

This paper investigates the existence and uniqueness of local strong solutions to the three-dimensional compressible magnetohydrodynamic (MHD) equations with density-dependent viscosities in an exterior domain. The system models the…

Analysis of PDEs · Mathematics 2025-04-08 Hairong Liu , Tao Luo , Hua Zhong

The general-relativistic (GR) magnetohydrodynamic (MHD) equations for a conductive plasma fluid are derived and discussed in the curved spacetime described by Thorne's metric tensor, i.e., a family of cosmological models with inherent…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Kostas Kleidis , Apostolos Kuiroukidis , Demetrios B. Papadopoulos

We use the AdS/CFT correspondence to study propagation of sound waves in strongly coupled (2+1) dimensional conformal magnetic fluids. Our computation provides a nontrivial consistency check of the viscous magneto-hydrodynamics of…

High Energy Physics - Theory · Physics 2009-11-13 Evgeny I. Buchbinder , Alex Buchel , Samuel E. Vazquez

We present a linear analysis of inviscid, incompressible, magnetohydrodynamic (MHD) shallow water systems. In spherical geometry, a generic property of such systems is the existence of five wave modes. Three of them (two magneto-Poincare…

High Energy Astrophysical Phenomena · Physics 2015-05-13 Kevin Heng , Anatoly Spitkovsky

Various radio observations have showed that the hot atmospheres of galaxy clusters are magnetized. However, our understanding of the origin of these magnetic fields, their implications on structure formation and their interplay with the…

Astrophysics · Physics 2015-05-13 K. Dolag , F. A. Stasyszyn

Context. Recent, nonlinear simulations of wave generation and propagation in full-star models have been carried out in the anelastic approximation using spectral methods. Although it makes long time steps possible, this approach excludes…

Solar and Stellar Astrophysics · Physics 2020-09-15 L. Horst , P. V. F. Edelmann , R. Andrassy , F. K. Roepke , D. M. Bowman , C. Aerts , R. P. Ratnasingam

This paper is concerned with the asymptotic behaviors of global strong solutions to the incompressible non-resistive viscous magnetohydrodynamic (MHD) equations with large initial perturbations in two-dimensional periodic domains in…

Analysis of PDEs · Mathematics 2021-02-16 Fei Jiang , Song Jiang

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

Owing to the complexity of turbulent magnetic fields, modeling the diffusion of cosmic rays is challenging. Based on the current understanding of anisotropic magnetohydrodynamic (MHD) turbulence, we use test particles to examine the cosmic…

Astrophysics of Galaxies · Physics 2022-02-16 Yue Hu , A. Lazarian , Siyao Xu

Recent years have seen a significant progress in the development of general relativistic codes for the numerical solution of the equations of magnetohydrodynamics in spacetimes with high and dynamical curvature. These codes are valuable…

High Energy Astrophysical Phenomena · Physics 2024-04-23 Yosuke Mizuno , Luciano Rezzolla

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

We perform three-dimensional simulations of homogeneous and inhomogeneous cosmologies via the coupling of a numerical relativity code for spacetime evolution and smoothed particle hydrodynamics (SPH) code. Evolution of a flat dust and…

General Relativity and Quantum Cosmology · Physics 2023-07-31 Spencer J. Magnall , Daniel J. Price , Paul D. Lasky , Hayley J. Macpherson

In this paper we show how the Smoothed Particle Hydrodynamics (SPH) equations for ideal magnetohydrodynamics (MHD) can be written in conservation form with the positivity of the dissipation guaranteed. We call the resulting algorithm…

Astrophysics · Physics 2016-08-30 D. J. Price , J. J. Monaghan

We present the implementation of a three-dimensional, second order accurate Godunov-type algorithm for magneto-hydrodynamic (MHD), in the adaptive-mesh-refinement (AMR) cosmological code {\tt CHARM}. The algorithm is based on the full…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Francesco Miniati , Daniel F. Martin