An overview of grid-based numerical methods used in relativistic hydrodynamics (RHD) and
magnetohydrodynamics (RMHD) is presented. Special emphasis is put on a comprehensive …

The design and implementation of a new framework for adaptive mesh refinement
calculations are described. It is intended primarily for applications in astrophysical fluid …

We present a new numerical code, PLUTO, for the solution of hypersonic flows in 1, 2, and 3
spatial dimensions and different systems of coordinates. The code provides a multiphysics …

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

As computational astrophysics comes under pressure to become a precision science, there
is an increasing need to move to high accuracy schemes for computational astrophysics …

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 …

We investigate the explosion of stars with zero-age main-sequence masses between 20 and
35 M⊙ and varying degrees of rotation and magnetic fields including ones commonly …

We present the new general-relativistic magnetohydrodynamics (GRMHD) capabilities of the
Einstein toolkit, an open-source community-driven numerical relativity and computational …