## IllinoisGRMHD: A Compact, Dynamic-Spacetime General Relativistic Magnetohydrodynamics Code for Easy User Adoption

Date: 2015-10-12 12:00:00 -0600 (Mon, 12 Oct 2015) 

Abstract

IllinoisGRMHD solves the equations of General Relativistic MagnetoHydroDynamics (GRMHD) using a high-resolution shock capturing scheme. It is a rewrite of the Illinois Numerical Relativity (ILNR) group’s GRMHD code, and generates results that agree to roundoﬀ error with that original code. Its feature set coincides with the features of the ILNR group’s recent code (ca. 2009–2014), which was used in their modeling of the following systems:

1. Magnetized circumbinary disk accretion onto binary black holes
2. Magnetized black hole–neutron star mergers
3. Magnetized Bondi ﬂow, Bondi-Hoyle-Littleton accretion
4. White dwarf–neutron star mergers

IllinoisGRMHD is particularly good at modeling GRMHD ﬂows into black holes without the need for excision. Its HARM-based conservative-to-primitive solver has also been modiﬁed to check the physicality of conservative variables prior to primitive inversion, and move them into the physical range if they become unphysical.

### 1 Introduction

Currently IllinoisGRMHD consists of

1. the Piecewise Parabolic Method (PPM) for reconstruction,
2. the Harten, Lax, van Leer (HLL/HLLE) approximate Riemann solver, and
3. a modiﬁed HARM Conservative-to-Primitive solver (see REQUIRED CITATION #2 below).

IllinoisGRMHD evolves the vector potential ${A}_{\mu }$ (on staggered grids) instead of the magnetic ﬁelds (${B}^{i}$) directly, to guarantee that the magnetic ﬁelds will remain divergenceless even at AMR boundaries. On uniform resolution grids, this vector potential formulation produces results equivalent to those generated using the standard, staggered ﬂux-CT scheme. This scheme is based on that of Del Zanna (2003, see below OPTIONAL CITATION #1).

For further information about motivations, basic equations, how IllinoisGRMHD works, as well as basic code test results, please see the IllinoisGRMHD code announcement paper, at
http://arxiv.org/abs/1501.07276. If you use IllinoisGRMHD for your research, you are asked to include the REQUIRED CITATIONS listed below in your citations.

For a quick “Guide to Getting Started”, please visit the IllinoisGRMHD web page:
http://math.wvu.edu/~zetienne/ILGRMHD/

===================
REQUIRED CITATIONS:
===================

1. IllinoisGRMHD code announcement paper: Class. Quantum Grav. 32 (2015) 175009,
(http://arxiv.org/abs/1501.07276)
2. Noble, S. C., Gammie, C. F., McKinney, J. C., & Del Zanna, L.  2006, Astrophysical Journal, 641, 626.