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We analyze the mixed frame equations of radiation hydrodynamics under the approximations of flux-limited diffusion and a thermal radiation field, and derive the minimal set of evolution equations that includes all terms that are of leading…

Astrophysics · Physics 2009-11-11 Mark R. Krumholz , Richard I. Klein , Christopher F. McKee , John Bolstad

This paper describes a multidimensional hydrodynamic code which can be used for studies of relativistic astrophysical flows. The code solves the special relativistic hydrodynamic equations as a hyperbolic system of conservation laws based…

Astrophysics · Physics 2009-11-13 Eunwoo Choi , Dongsu Ryu

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 discuss some typical problems related to numerical hydrodynamics of a dense interstellar medium. A newly developed hydrodynamical code based on adaptive mesh refinement technique is presented and applied to simulate the evolution of a…

Astrophysics · Physics 2007-05-23 Tomasz Plewa , Michal Rozyczka

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…

Instrumentation and Methods for Astrophysics · Physics 2012-04-27 R. L. Jiang , C. Fang , P. F. Chen

Numerical solutions of the incompressible magnetohydrodynamic (MHD) equations are reported for the interior of a rotating, perfectly-conducting, rigid spherical shell that is insulator-coated on the inside. A previously-reported spectral…

Fluid Dynamics · Physics 2009-11-13 P. D. Mininni , D. C. Montgomery , L. Turner

We report on a set of long-term general-relativistic three-dimensional (3D) multi-group (energy-dependent) neutrino-radiation hydrodynamics simulations of core-collapse supernovae. We employ a full 3D two-moment scheme with the local M1…

High Energy Astrophysical Phenomena · Physics 2017-04-10 Luke F. Roberts , Christian D. Ott , Roland Haas , Evan P. O'Connor , Peter Diener , Erik Schnetter

A new multidimensional simulation code for relativistic two-fluid electrodynamics (RTFED) is described. The basic equations consist of the full set of Maxwell's equations coupled with relativistic hydrodynamic equations for separate two…

High Energy Astrophysical Phenomena · Physics 2016-11-09 Takanobu Amano

An effective computer program for three dimensional relativistic hydrodynamical model has been developed. It implements a new approach to the early hot phase of relativistic heavy-ion collisions. The computer program simulates time-space…

Nuclear Theory · Physics 2009-11-11 Daniel Kikola , Wiktor Peryt , Yuri M. Sinyukov , Marcin Slodkowski , Marek Szuba

The numerical simulation of turbulence and flows in almost ideal, large-Reynolds-number astrophysical plasmas motivates the implementation of almost conservative MHD computer codes. They should efficiently calculate, use highly parallelized…

Solar and Stellar Astrophysics · Physics 2015-07-29 J. Skála , F. Baruffa , J. Büchner , M. Rampp

We describe the algorithm, implementation and numerical tests of a multifluid dust module in the Athena++ magnetohydrodynamic (MHD) code. The module can accommodate an arbitrary number of dust species interacting with the gas via…

Earth and Planetary Astrophysics · Physics 2022-08-31 Pinghui Huang , Xue-Ning Bai

Modeling correctly the transport of neutrinos is crucial in some astrophysical scenarios such as core-collapse supernovae and binary neutron star mergers. In this paper, we focus on the truncated-moment formalism, considering only the first…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Manuel R. Izquierdo , Lorenzo Pareschi , Borja Miñano , Joan Massó , Carlos Palenzuela

We present \texttt{SACRA-2D}, a new MPI and OpenMP parallelized, fully relativistic hydrodynamics (GRHD) code in dynamical spacetime under axial symmetry with the cartoon method using the finite-volume shock-capturing schemes for…

High Energy Astrophysical Phenomena · Physics 2025-02-06 Alan Tsz-Lok Lam , Masaru Shibata

Exascale supercomputing unleashes the potential for simulations of astrophysical systems with unprecedented resolution. Taking full advantage of this computing power requires the development of new algorithms and numerical methods that are…

Instrumentation and Methods for Astrophysics · Physics 2025-10-01 L. Sewanou , G. Laibe , B. Commerçon

Heliospheric plasmas require multi-scale and multi-physics considerations. On one hand, MHD codes are widely used for global simulations of the solar-terrestrial environments, but do not provide the most elaborate physical description of…

Computational Physics · Physics 2020-12-09 S. P. Moschou , I. V. Sokolov , O. Cohen , G. Toth , J. J. Drake , Z. Huang , C. Garraffo , J. D. Alvarado-Gómez , T. Gombosi

We have written and tested a new general relativistic magnetohydrodynamics (GRMHD) code, capable of evolving MHD fluids in dynamical spacetimes with adaptive-mesh refinement (AMR). Our code solves the Einstein-Maxwell-MHD system of coupled…

High Energy Astrophysical Phenomena · Physics 2010-10-27 Zachariah B. Etienne , Yuk Tung Liu , Stuart L. Shapiro

We describe a numerical code to solve the equations for ideal magnetohydrodynamics (MHD). It is based on an explicit finite difference scheme on an Eulerian grid, called the Total Variation Diminishing (TVD) scheme, which is a…

Astrophysics · Physics 2009-10-22 Dongsu Ryu , T. W. Jones

In ordinary turbulence research it has been a long standing tradition to solve the equations in spectral space giving the best possible accuracy. This is indeed a natural choice for incompressible problems with periodic boundaries, but it…

Astrophysics · Physics 2009-11-07 A. Brandenburg , W. Dobler

Astrophysical turbulent flows display an intrinsically multi-scale nature, making their numerical simulation and the subsequent analyses of simulated data a complex problem. In particular, two fundamental steps in the study of turbulent…

Instrumentation and Methods for Astrophysics · Physics 2024-07-10 David Vallés-Pérez , Susana Planelles , Vicent Quilis , Frederick Groth , Tirso Marin-Gilabert , Klaus Dolag

We present a new special relativistic hydrodynamics (SRHD) code capable of handling coexisting ultra-relativistically hot and non-relativistically cold gases. We achieve this by designing a new algorithm for conversion between primitive and…

High Energy Astrophysical Phenomena · Physics 2021-04-21 Po-Hsun Tseng , Hsi-Yu Schive , Tzihong Chiueh