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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

A wide variety of astrophysical phenomena involve the flow of turbulent magnetized gas with relativistic velocity or energy density. Examples include gamma-ray bursts, active galactic nuclei, pulsars, magnetars, micro-quasars, merging…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Jonathan Zrake , Andrew MacFadyen

This work presents the publicly available moving-mesh magnetohydrodynamics code DISCO. DISCO is efficient and accurate at evolving orbital fluid motion in two and three dimensions, especially at high Mach number. DISCO employs a moving-mesh…

Computational Physics · Physics 2016-09-21 Paul C. Duffell

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

Magnetized turbulence is ubiquitous in many astrophysical and terrestrial plasmas but no universal theory exists. Even the detailed energy dynamics in magnetohydrodynamic (MHD) turbulence are still not well understood. We present a suite of…

Astrophysics of Galaxies · Physics 2023-02-06 Philipp Grete , Brian W. O'Shea , Kris Beckwith

We integrate the MHD ideal equations of a slender flux tube to simulate the internal plasma dynamics of coronal post-flare loops. We study the onset and evolution of the internal plasma instability to compare with observations and to gain…

Solar and Stellar Astrophysics · Physics 2015-05-13 C. A. Fernandez , A. Costa , S. Elaskar , W. Schulz

The relativistic magnetohydrodynamics (RMHD) set of equations has recently seen increased use in astrophysical computations. Even so, RMHD codes remain fragile. The reconstruction can sometimes yield superluminal velocities in certain parts…

High Energy Astrophysical Phenomena · Physics 2016-03-23 Dinshaw S. Balsara , Jinho Kim

The nonlinear convection terms in the governing equations of compressible fluid flows are hyperbolic in nature and are nontrivial for modelling and numerical simulation. Many numerical methods have been developed in the last few decades for…

Numerical Analysis · Mathematics 2021-10-26 Ramesh Kolluru , N. Venkata Raghavendra , S. V. Raghurama Rao , G. N. Sekha

We compare the statistics of driven, supersonic turbulence at high Mach number using FLASH a widely used Eulerian grid-based code and PHANTOM, a Lagrangian SPH code at resolutions of up to 512^3 in both grid cells and SPH particles. We find…

Astrophysics of Galaxies · Physics 2015-05-18 Daniel J. Price , Christoph Federrath

Our aim is to study the thermal and dynamical evolution of protoplanetary disks in global simulations, including the physics of radiation transfer and magneto-hydrodynamic (MHD) turbulence caused by the magneto-rotational instability. We…

Earth and Planetary Astrophysics · Physics 2015-06-17 M. Flock , S. Fromang , M. González , B. Commerçon

A recent third-order, essentially non-oscillatory central scheme to advance the equations of single-fluid magnetohydrodynamics (MHD) in time has been implemented into a new numerical code. This code operates on a 3-D Cartesian,…

Solar and Stellar Astrophysics · Physics 2012-04-18 Jens Kleimann , Andreas Kopp , Horst Fichtner , Rainer Grauer

When modeling astrophysical fluid flows, it is often appropriate to discard the canonical magnetohydrodynamic approximation thereby freeing the magnetic field to diffuse with respect to the bulk velocity field. As a consequence, however,…

Astrophysics · Physics 2009-11-13 Stephen O'Sullivan , Turlough P. Downes

The simulation of supersonic or hypersonic flows often suffers from numerical shock instabilities if the flow field contains strong shocks, limiting the further application of shock-capturing schemes. In this paper, we develop the unified…

Numerical Analysis · Mathematics 2023-08-16 Weijie Ren , Wenjia Xie , Ye Zhang , Hang Yu , Zhengyu Tian

A description is given of the algorithms implemented in the AstroBEAR adaptive mesh refinement code for ideal magnetohydrodynamics. The code provides several high resolution, shock capturing schemes which are constructed to maintain…

Astrophysics · Physics 2009-06-23 Andrew J. Cunningham , Adam Frank , Peggy Varniere , Sorin Mitran , Thomas W. Jones

We describe a method for incorporating ambipolar diffusion in the strong coupling approximation into a multidimensional magnetohydrodynamics code based on the total variation diminishing scheme. Contributions from ambipolar diffusion terms…

Astrophysics · Physics 2009-11-13 Eunwoo Choi , Jongsoo Kim , Paul J. Wiita

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

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

High-order Godunov methods for gas dynamics have become a standard tool for simulating different classes of astrophysical flows. Their accuracy is mostly determined by the spatial interpolant used to reconstruct the pair of Riemann states…

Solar and Stellar Astrophysics · Physics 2024-05-29 G. Leidi , R. Andrassy , W. Barsukow , J. Higl , P. V. F. Edelmann , F. K. Röpke

Magnetohydrodynamics is an important tool to study the dynamics of plasma Space Physics. In this context, we introduce a three-dimensional magnetohydrodynamic solver with divergence-cleaning in the adaptive multiresolution CARMEN code. The…

Numerical Analysis · Mathematics 2019-03-18 Anna Karina Fontes Gomes , Margarete Oliveira Domingues , Odim Mendes , Kai Schneider

We present a novel combination of numerical techniques to improve the efficiency, accuracy, and robustness of multi-component compressible flow simulations. At the core of our approach is an Entropy-Stable formulation that preserves kinetic…

Computational Engineering, Finance, and Science · Computer Science 2025-06-17 Vahid Badrkhani , T. Jeremy P. Karpowsk , Christian Hasse
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