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We present a new numerical implementation of the general-relativistic resistive magnetohydrodynamics (MHD) equations within the Whisky code. The numerical method adopted exploits the properties of implicit-explicit Runge-Kutta numerical…

General Relativity and Quantum Cosmology · Physics 2013-08-23 Kyriaki Dionysopoulou , Daniela Alic , Carlos Palenzuela , Luciano Rezzolla , Bruno Giacomazzo

We present a new multi-dimensional radiation-hydrodynamics code for massive stellar core-collapse in full general relativity (GR). Employing an M1 analytical closure scheme, we solve spectral neutrino transport of the radiation energy and…

High Energy Astrophysical Phenomena · Physics 2016-03-09 Takami Kuroda , Tomoya Takiwaki , Kei Kotake

We present an analytic solution of the Riemann problem for the equations of relativistic hydrodynamics with the ultra-relativistic equation of state and non-zero tangential velocities. A 3-dimensional numerical code solving such equations…

Mathematical Physics · Physics 2010-07-12 Patryk Mach

We present a statistical analysis of turbulent convection in stars within our Reynolds-Averaged Navier Stokes (RANS) framework in spherical geometry which we derived from first principles. The primary results reported in this document…

Solar and Stellar Astrophysics · Physics 2014-01-22 Miroslav Mocák , Casey Meakin , Maxime Viallet , David Arnett

This paper describes the design and implementation of our new multi-group, multi-dimensional radiation hydrodynamics (RHD) code Fornax and provides a suite of code tests to validate its application in a wide range of physical regimes.…

Instrumentation and Methods for Astrophysics · Physics 2019-03-06 M. Aaron Skinner , Joshua C. Dolence , Adam Burrows , David Radice , David Vartanyan

We present here RICH, a state of the art 2D hydrodynamic code based on Godunov's method, on an unstructured moving mesh (the acronym stands for Racah Institute Computational Hydrodynamics). This code is largely based on the code AREPO. It…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Almog Yalinewich , Elad Steinberg , Re'em Sari

In recent years, dynamical relativistic jet simulation techniques have progressed to a point where it is becoming possible to fully numerically resolve gamma-ray burst (GRB) blast-wave evolution across scales. However, the modeling of…

High Energy Astrophysical Phenomena · Physics 2021-12-15 Eliot H. Ayache , Hendrik J. van Eerten , Rupert W. Eardley

We introduce AREPO-RT, a novel radiation hydrodynamic (RHD) solver for the unstructured moving-mesh code AREPO. Our method solves the moment-based radiative transfer equations using the M1 closure relation. We achieve second order…

Instrumentation and Methods for Astrophysics · Physics 2019-02-13 Rahul Kannan , Mark Vogelsberger , Federico Marinacci , Ryan McKinnon , Rüdiger Pakmor , Volker Springel

Many systems of current interest in relativistic astrophysics require a knowledge of radiative transfer in a magnetized gas flowing in a strongly-curved, dynamical spacetime. Such systems include coalescing compact binaries containing…

Astrophysics · Physics 2008-11-26 Brian D. Farris , Tsz Ka Li , Yuk Tung Liu , Stuart L. Shapiro

Discontinuous Galerkin (DG) methods coupled to WENO algorithms allow high order convergence for smooth problems and for the simulation of discontinuities and shocks. In this work, we investigate WENO-DG algorithms in the context of…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Marcus Bugner , Tim Dietrich , Sebastiano Bernuzzi , Andreas Weyhausen , Bernd Bruegmann

We have developed a new computer code, RAM, to solve the conservative equations of special relativistic hydrodynamics (SRHD) using adaptive mesh refinement (AMR) on parallel computers. We have implemented a characteristic-wise, finite…

Astrophysics · Physics 2009-11-11 Weiqun Zhang , Andrew I. MacFadyen

Cosmic rays (CRs) play a pivotal role in various astrophysical systems, delivering feedback over a broad range of scales. However, modeling CR transport remains challenging due to its inherently multi-scale nature and complex microphysics.…

High Energy Astrophysical Phenomena · Physics 2026-02-05 Xihui Zhao , Xue-Ning Bai , Eve C. Ostriker

Many astrophysical phenomena are highly subsonic, requiring specialized numerical methods suitable for long-time integration. In a series of earlier papers we described the development of MAESTRO, a low Mach number stellar hydrodynamics…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 A. Nonaka , A. S. Almgren , J. B. Bell , M. J. Lijewski , C. M. Malone , M. Zingale

Electrical resistivity plays a fundamental role in many astrophysical systems, influencing the evolution of the magnetic field and energy dissipation processes. During the coalescence of two neutron stars, resistive effects can…

General Relativity and Quantum Cosmology · Physics 2025-09-15 Franceschetti Kevin , De Pietri Roberto

Cosmological simulations still lack numerical resolution or physical processes to simulate dwarf galaxies in sufficient details. Accurate numerical simulations of individual dwarf galaxies are thus still in demand. We aim at (i) studying in…

Astrophysics of Galaxies · Physics 2015-04-20 Eduard I. Vorobyov , Simone Recchi , Gerhard Hensler

We present a new three-dimensional general-relativistic hydrodynamic evolution scheme coupled to dynamical spacetime evolutions which is capable of efficiently simulating stellar collapse, isolated neutron stars, black hole formation, and…

High Energy Astrophysical Phenomena · Physics 2013-09-23 C. Reisswig , R. Haas , C. D. Ott , E. Abdikamalov , P. Moesta , D. Pollney , E. Schnetter

We report on recent upgrades to our general relativistic radiation-magnetohydrodynamics code, Cosmos++, which expands the two-moment, $\bf{M}_1$, radiation treatment from grey to multi-frequency transport, including Doppler and…

Instrumentation and Methods for Astrophysics · Physics 2020-09-09 Peter Anninos , P. Chris Fragile

We report on our numerical implementation of fully relativistic hydrodynamics coupled to Einstein's field equations in three spatial dimensions. We briefly review several steps in our code development, including our recasting of Einstein's…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. W. Baumgarte , S. A. Hughes , L. Rezzolla , S. L. Shapiro , M. Shibata

We describe a novel Godunov-type numerical method for solving the equations of resistive relativistic magnetohydrodynamics. In the proposed approach, the spatial components of both magnetic and electric fields are located at zone interfaces…

Computational Physics · Physics 2019-05-01 A. Mignone , G. Mattia , G. Bodo , L. Del Zanna

Solving the Euler equations of ideal hydrodynamics as accurately and efficiently as possible is a key requirement in many astrophysical simulations. It is therefore important to continuously advance the numerical methods implemented in…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-02 Kevin Schaal , Andreas Bauer , Praveen Chandrashekar , Rüdiger Pakmor , Christian Klingenberg , Volker Springel