Binary neutron star mergers: a review of Einstein's richest laboratory

L Baiotti, L Rezzolla - Reports on Progress in Physics, 2017 - iopscience.iop.org
In a single process, the merger of binary neutron star systems combines extreme gravity, the
copious emission of gravitational waves, complex microphysics and electromagnetic …

Numerical hydrodynamics and magnetohydrodynamics in general relativity

JA Font - Living Reviews in Relativity, 2008 - Springer
This article presents a comprehensive overview of numerical hydrodynamics and magneto-
hydrodynamics (MHD) in general relativity. Some significant additions have been …

[BOOK][B] Riemann solvers and numerical methods for fluid dynamics: a practical introduction

EF Toro - 2013 - books.google.com
In 1917, the British scientist LF Richardson made the first reported attempt to predict the
weather by solving partial differential equations numerically, by hand! It is generally …

HARM: a numerical scheme for general relativistic magnetohydrodynamics

CF Gammie, JC McKinney, G Tóth - The Astrophysical Journal, 2003 - iopscience.iop.org
We describe a conservative, shock-capturing scheme for evolving the equations of general
relativistic magnetohydrodynamics. The fluxes are calculated using the Harten, Lax, & van …

The PLUTO code for adaptive mesh computations in astrophysical fluid dynamics

A Mignone, C Zanni, P Tzeferacos… - The Astrophysical …, 2011 - iopscience.iop.org
We present a description of the adaptive mesh refinement (AMR) implementation of the
PLUTO code for solving the equations of classical and special relativistic …

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

M Dumbser, DS Balsara, EF Toro, CD Munz - Journal of Computational …, 2008 - Elsevier
In this article, a conservative least-squares polynomial reconstruction operator is applied to
the discontinuous Galerkin method. In a first instance, piecewise polynomials of degree N …

Dust formation and survival in supernova ejecta

S Bianchi, R Schneider - Monthly Notices of the Royal …, 2007 - academic.oup.com
The presence of dust at high redshift requires efficient condensation of grains in supernova
(SN) ejecta, in accordance with current theoretical models. Yet observations of the few well …

Magnetic acceleration of relativistic active galactic nucleus jets

SS Komissarov, MV Barkov, N Vlahakis… - Monthly Notices of the …, 2007 - academic.oup.com
We present numerical simulations of axisymmetric, magnetically driven relativistic jets. Our
special-relativistic, ideal-magnetohydrodynamics numerical scheme is specifically designed …

A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems

M Dumbser, DS Balsara - Journal of Computational Physics, 2016 - Elsevier
In this paper a new, simple and universal formulation of the HLLEM Riemann solver (RS) is
proposed that works for general conservative and non-conservative systems of hyperbolic …

Parallel, grid-adaptive approaches for relativistic hydro and magnetohydrodynamics

R Keppens, Z Meliani, AJ van Marle, P Delmont… - Journal of …, 2012 - Elsevier
Relativistic hydro and magnetohydrodynamics provide continuum fluid descriptions for gas
and plasma dynamics throughout the visible universe. We present an overview of state-of …