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Related papers: HARM: A Numerical Scheme for General Relativistic …

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An implicit algorithm for solving the equations of general relativistic hydrodynamics in conservative form in three-dimensional axi-symmetry is presented. This algorithm is a direct extension of the pseudo-Newtonian implicit radiative…

Astrophysics · Physics 2009-06-23 Ahmad Hujeirat , Max Camenzind , Bernhard W. Keil

General Relativistic Magnetohydrodynamics (GRMHD) simulations are an indispensable tool in studying accretion onto compact objects. The Event Horizon Telescope (EHT) frequently uses libraries of ideal GRMHD simulations to interpret…

High Energy Astrophysical Phenomena · Physics 2025-01-27 Vedant Dhruv , Ben Prather , George Wong , Charles F. Gammie

Relativistic magnetohydrodynamics (RMHD) provides an extremely useful description of the low-energy long-wavelength phenomena in a variety of physical systems from quark-gluon plasma in heavy-ion collisions to matters in supernovas, compact…

High Energy Physics - Theory · Physics 2022-09-20 Koichi Hattori , Masaru Hongo , Xu-Guang Huang

We present a novel approach to study the global structure of steady, axisymmetric, advective, geometrically thin, magnetohydrodynamic (MHD) accretion flow around black holes in full general relativity (GR). Considering ideal MHD conditions…

High Energy Astrophysical Phenomena · Physics 2022-10-05 Samik Mitra , Debaprasad Maity , Indu Kalpa Dihingia , Santabrata Das

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

We consider the relativistic hydrodynamics of non-perfect fluids with the goal of determining a formulation that is suited for numerical integration in special-relativistic and general-relativistic scenarios. To this end, we review the…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Michail Chabanov , Luciano Rezzolla , Dirk H. Rischke

General relativistic magnetohydrodynamic (GRMHD) flows along magnetic fields threading a black hole can be divided into inflow and outflow parts, according to the result of the competition between the black hole gravity and…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Hung-Yi Pu , Masanori Nakamura , Kouichi Hirotani , Yosuke Mizuno , Kinwah Wu , Keiichi Asada

There is great interest in numerical relativity simulations involving matter due to the likelihood that binary compact objects involving neutron stars will be detected by gravitational wave observatories in the coming years, as well as to…

General Relativity and Quantum Cosmology · Physics 2012-06-06 William E. East , Frans Pretorius , Branson C. Stephens

We present a new magnetohydrodynamic (MHD) code for the simulation of wave propagation in the solar atmosphere, under the effects of electrical resistivity, but not dominant, and heat transference in a uniform 3D grid. The code is based on…

Solar and Stellar Astrophysics · Physics 2017-08-02 Anamaría Navarro , F. D. Lora-Clavijo , Guillermo A. González

Black hole (BH) accretion flows and jets are qualitatively affected by the presence of ordered magnetic fields. We study fully three-dimensional global general relativistic magnetohydrodynamic (MHD) simulations of radially extended and…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Jonathan C. McKinney , Alexander Tchekhovskoy , Roger D. Blandford

We present a novel spectral solver for general relativistic magnetohydrodynamics on dynamical spacetimes. By combining a high order discontinuous spectral method on mapped Chebyshev Fourier grids, our scheme attains exponential convergence.…

High Energy Astrophysical Phenomena · Physics 2025-08-26 Beibei Li

Based on the three rules developed from the Roe-type scheme, the mechanisms of the classical and preconditioned Harten-Lax-van Leer (HLL) schemes are analyzed. For the classical HLL scheme, the accuracy problem is attributable to the…

Computational Physics · Physics 2013-08-28 Xue-song Li , Chun-wei Gu

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…

High Energy Astrophysical Phenomena · Physics 2025-07-17 Tyler Trent , Dimitrios Psaltis , Feryal Özel

We describe a new Godunov algorithm for relativistic magnetohydrodynamics (RMHD) that combines a simple, unsplit second order accurate integrator with the constrained transport (CT) method for enforcing the solenoidal constraint on the…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Kris Beckwith , James M. Stone

Multidimensional shock-capturing numerical schemes for special relativistic hydrodynamics (RHD) are computationally more expensive than their correspondent Euler versions, due to the nonlinear relations between conservative and primitive…

Astrophysics · Physics 2009-11-07 L. Del Zanna , N. Bucciantini

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…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Saul A. Teukolsky

The accurate modelling of astrophysical scenarios involving compact objects and magnetic fields, such as the collapse of rotating magnetized stars to black holes or the phenomenology of gamma-ray bursts, requires the solution of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Giacomazzo , L. Rezzolla

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…

High Energy Astrophysical Phenomena · Physics 2025-08-22 John Wallace , Damien Bégué , Asaf Pe'er

We present a new computational method for smoothly matching general relativistic ideal magnetohydrodynamics (MHD) to its force-free limit. The method is based on a flux-conservative formalism for MHD and its force-free limit, and a vector…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Vasileios Paschalidis , Stuart L. Shapiro

In this proceeding, we provide a novel approach to study the General Relativistic Magnetohydrodynamic (GRMHD) accretion flows around rotating black holes (BHs). In doing so, we choose a sub-Keplerian distribution of angular momentum of the…

High Energy Astrophysical Phenomena · Physics 2025-03-11 Samik Mitra