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This paper presents a quasi-local method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Erik Schnetter , Badri Krishnan , Florian Beyer

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

Cosmological field-level inference requires differentiable forward models that solve the challenging dynamics of gas and dark matter under hydrodynamics and gravity. We propose a hybrid approach where gravitational forces are computed using…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-31 Arne Thomsen , Tilman Tröster , François Lanusse

Using direct numerical simulations (DNSs), the interaction between linear waves and turbulence under the compressible magnetohydrodynamic (CMHD) approach was studied. A set of DNSs in three dimensions for a spatial resolution of $128^3$ and…

Plasma Physics · Physics 2021-12-15 Maia Brodiano , Nahuel Andrés , Pablo Dmitruk

We have developed a numerical code to study the evolution of self-gravitating matter in dynamic black hole axisymmetric spacetimes in general relativity. The matter fields are evolved with a high-resolution shock-capturing scheme that uses…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Brandt , J. A. Font , J. M. Ibanez , J. Masso , E. Seidel

We introduce an extension to the AthenaK code for general-relativistic magnetohydrodynamics (GRMHD) in dynamical spacetimes using a 3+1 conservative Eulerian formulation. Like the fixed-spacetime GRMHD solver, we use standard finite-volume…

High Energy Astrophysical Phenomena · Physics 2025-01-15 Jacob Fields , Hengrui Zhu , David Radice , James M. Stone , William Cook , Sebastiano Bernuzzi , Boris Daszuta

In many astrophysical plasmas, the Coulomb collision is insufficient to maintain an isotropic temperature, and the system is driven to the anisotropic regime. In this case, magnetohydrodynamic (MHD) models with anisotropic pressure are…

Plasma Physics · Physics 2023-08-09 Hongyang Luo , John G. Lyon , Binzheng Zhang

Accretion physics has become more important recently due to the detection of the first horizon-scale images of the super-massive black holes of M\,87$^*$ and Sgr~A$^*$ by the Event Horizon Telescope (EHT). General relativistic…

High Energy Astrophysical Phenomena · Physics 2024-06-25 Akhil Uniyal , Indu K. Dihingia , Yosuke Mizuno

A new algorithm for solving the general relativistic MHD equations is described in this paper. We design our scheme to incorporate black hole excision with smooth boundaries, and to simplify solving the combined Einstein and MHD equations…

General Relativity and Quantum Cosmology · Physics 2009-11-11 David Neilsen , Eric W Hirschmann , R Steven Millward

Jetted astrophysical phenomena with black hole (BH) engines, including binary mergers, jetted tidal disruption events, and X-ray binaries, require a large-scale vertical magnetic field for efficient jet formation. However, a dynamo…

High Energy Astrophysical Phenomena · Physics 2023-11-02 Jonatan Jacquemin-Ide , François Rincon , Alexander Tchekhovskoy , Matthew Liska

We develop a new, efficient, and accurate method to simulate frequency-domain borehole electromagnetic (EM) measurements acquired in the presence of three-dimensional (3D) variations of the anisotropic subsurface conductivity. The method is…

Modern astrophysical simulations aim to accurately model an ever-growing array of physical processes, including the interaction of fluids with magnetic fields, under increasingly stringent performance and scalability requirements driven by…

Instrumentation and Methods for Astrophysics · Physics 2019-02-08 Thomas Guillet , Rüdiger Pakmor , Volker Springel , Praveen Chandrashekar , Christian Klingenberg

Traveling across several order of magnitude in distance, relativistic jets from strong gravity region to asymptotic flat spacetime region are believed to consist of several general relativistic magnetohydrodynamic (GRMHD) processes. We…

Instrumentation and Methods for Astrophysics · Physics 2020-04-01 Hung-Yi Pu , Masaaki Takahashi

Numerically solving magnetohydrodynamic (MHD) equations faces many challenges: avoiding divergence error, maintaining positivity, and satisfying entropy conditions. Among discontinuous Galerkin (DG) schemes, there has been a modal version…

Numerical Analysis · Mathematics 2026-04-28 Yue Wu , Chi-Wang Shu

Numerical simulation of magnetohydrodynamic (MHD) turbulence makes it possible to study accretion dynamics in detail. However, special effort is required to connect inflow dynamics (dependent largely on angular momentum transport) to…

Astrophysics · Physics 2011-02-11 Scott C. Noble , Julian H. Krolik , John F. Hawley

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

Two-dimensional models assuming axisymmetry are an economical way to explore the long-term evolution of black hole accretion disks, but they are only realistic if the feedback of the nonaxisymmetric turbulence on the mean momentum and…

High Energy Astrophysical Phenomena · Physics 2024-09-05 Matthew D. Duez , Courtney L. Cadenhead , Zachariah B. Etienne , Bernard Kelly , Leonardo R. Werneck

Performing accurate large eddy simulations in compressible, turbulent magnetohydrodynamics is more challenging than in non-magnetized fluids due to the complex interplay between kinetic, magnetic and internal energy at different scales.…

Fluid Dynamics · Physics 2019-10-23 Daniele Viganò , Ricard Aguilera-Miret , Carlos Palenzuela

Current state-of-the-art simulations of accretion flows onto black holes require a significant level of numerical sophistication, in order to allow the three-dimensional modelling of relativistic magnetised plasma in a regime of strong…

High Energy Astrophysical Phenomena · Physics 2018-10-09 Matteo Bugli

It has long been thought that black hole accretion flows are driven by magnetohydrodynamic (MHD) turbulence, and there are now many general relativistic global simulations illustrating the dynamics of this process. However, many challenges…

High Energy Astrophysical Phenomena · Physics 2026-03-11 Chris Nagele , Julian H. Krolik , Rongrong Liu , Brooks E. Kinch , Jeremy D. Schnittman