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In this work we introduce a novel semi-implicit structure-preserving finite-volume/finite-difference scheme for the viscous and resistive equations of magnetohydrodynamics (MHD) based on an appropriate 3-split of the governing PDE system,…

数值分析 · 数学 2021-12-01 Francesco Fambri

In this paper we present a major update to the general relativistic magnetohydrodynamics (GRMHD) code cuHARM, which adds fully covariant treatment of radiation transport and the subsequent radiation backreaction on the dynamics of the…

高能天体物理现象 · 物理学 2025-08-22 John Wallace , Damien Bégué , Asaf Pe'er

We have proposed a new High Resolution Shock Capturing (HRSC) scheme for Special Relativistic Hydrodynamics (SRHD) based on the semidiscrete central Godunov-type schemes and a modified Weighted Essentially Non-oscillatory (WENO) data…

天体物理学 · 物理学 2007-05-23 Tanvir Rahman , R. B. Moore

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…

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…

高能天体物理现象 · 物理学 2024-04-23 Yosuke Mizuno , Luciano Rezzolla

This paper presents a new computer code to solve the general relativistic magnetohydrodynamics (GRMHD) equations using distributed parallel adaptive mesh refinement (AMR). The fluid equations are solved using a finite difference Convex ENO…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Matthew Anderson , Eric Hirschmann , Steven L. Liebling , David Neilsen

Hot, diffuse, relativistic plasmas such as sub-Eddington black hole accretion flows are expected to be collisionless, yet are commonly modeled as a fluid using ideal general relativistic magnetohydrodynamics (GRMHD). Dissipative effects…

天体物理仪器与方法 · 物理学 2017-03-15 Mani Chandra , Francois Foucart , Charles F. Gammie

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…

高能天体物理现象 · 物理学 2023-08-09 Jeongbhin Seo , Dongsu Ryu

This paper studies high-order accurate entropy stable nodal discontinuous Galerkin (DG) schemes for the ideal special relativistic magnetohydrodynamics (RMHD). It is built on the modified RMHD equations with a particular source term, which…

数值分析 · 数学 2020-10-09 Junming Duan , Huazhong Tang

We assemble the equations of general relativistic magnetohydrodynamics (MHD) in 3+1 form. These consist of the complete coupled set of Maxwell equations for the electromagnetic field, Einstein's equations for the gravitational field, and…

天体物理学 · 物理学 2009-11-07 Thomas W. Baumgarte , Stuart L. Shapiro

Astrophysical plasmas in relativistic spacetimes, such as black hole accretion flows, are often weakly collisional and require kinetic modeling to capture non-local transport and particle acceleration. However, the extreme scale separation…

高能天体物理现象 · 物理学 2025-07-17 Tyler Trent , Dimitrios Psaltis , Feryal Özel

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…

A new code, named MAP, is written in Fortran language for magnetohydrodynamics (MHD) calculation with the adaptive mesh refinement (AMR) and Message Passing Interface (MPI) parallelization. There are several optional numerical schemes for…

天体物理仪器与方法 · 物理学 2012-04-27 R. L. Jiang , C. Fang , P. F. Chen

We present the first astrophysical application of the ECHO code in its recent version supplemented by a generalized Ohm law, namely a kinematic study of dynamo effects in thick accretion disks. High-order \emph{implicit-explicit}…

高能天体物理现象 · 物理学 2014-01-15 L. Del Zanna , M. Bugli , N. Bucciantini

This paper proposes a novel numerical method based on Godunov Smoothed Particle Hydrodynamics for special relativistic fluid dynamics. Our method utilizes a Riemann solver to describe shock, enhancing accuracy in strong shock waves. The…

计算物理 · 物理学 2025-10-22 Kanta Kitajima , Shu-ichiro Inutsuka , Izumi Seno

In the extreme violence of merger and mass accretion, compact objects like black holes and neutron stars are thought to launch some of the most luminous outbursts of electromagnetic and gravitational wave energy in the Universe. Modeling…

高能天体物理现象 · 物理学 2015-08-19 Zachariah B. Etienne , Vasileios Paschalidis , Roland Haas , Philipp Moesta , Stuart L. Shapiro

We analyze the cosmic-ray magnetohydrodynamic (CR MHD) equations to improve the numerical simulations. We propose to solve them in the fully conservation form, which is equivalent to the conventional CR MHD equations. In the fully…

高能天体物理现象 · 物理学 2016-10-07 Yuki Kudoh , Tomoyuki Hanawa

We present a new approach for stably evolving general relativistic magnetohydrodynamic (GRMHD) simulations in regions where the magnetization $\sigma=b^2/\rho c^2$ becomes large. GRMHD codes typically struggle to evolve plasma above…

高能天体物理现象 · 物理学 2024-07-16 Andrew Chael

The equations of general relativistic magnetohydrodynamics (GRMHD) have become the standard mathematical framework for modeling high-energy plasmas in curved spacetimes. However, the fragility of the primitive variable reconstruction…

广义相对论与量子宇宙学 · 物理学 2025-10-31 Jonathan Gorard , James Juno , Ammar Hakim

The characteristic decomposition for GRMHD in the comoving frame of the fluid has been known for a long time. However, it has not been known in the coordinate frame of the simulation and in terms of the conserved variables evolved in…

广义相对论与量子宇宙学 · 物理学 2025-11-19 Saul A. Teukolsky