In a single process, the merger of binary neutron star systems combines extreme gravity, the
copious emission of gravitational waves, complex microphysics and electromagnetic …

This article presents a comprehensive overview of numerical hydrodynamics and magneto-
hydrodynamics (MHD) in general relativity. Some significant additions have been …

We present a description of the adaptive mesh refinement (AMR) implementation of the
PLUTO code for solving the equations of classical and special relativistic …

We describe a conservative, shock-capturing scheme for evolving the equations of general
relativistic magnetohydrodynamics. The fluxes are calculated using the Harten, Lax, & van …

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 …

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 …

Relativistic hydro and magnetohydrodynamics provide continuum fluid descriptions for gas
and plasma dynamics throughout the visible universe. We present an overview of state-of …

Aims. We present a new numerical code, ECHO, based on a Eulerian conservative high-
order scheme for time dependent three-dimensional general relativistic …

This review is concerned with a discussion of numerical methods for the solution of the
equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a …

While working on an adaptive mesh refinement (AMR) scheme for divergence-free
magnetohydrodynamics (MHD), Balsara discovered a unique strategy for the reconstruction …