Adaptive Mesh Refinement and Relativistic MHD

Abstract

We solve the general relativistic magnetohydrodynamics equations using distributed parallel adaptive mesh refinement. We discuss strong scaling tests of the code, and present evolutions of Michel accretion and a TOV star.

Binary Black Hole Coalescence

“…The complexity of the field equations and the physical set-up of the binary black hole problem requires solution in a parallel computing environment, and adaptive mesh refinement (AMR) to adequately resolve all the relevant length scales (the only code at present not employing AMR is the LazEv code [260], however there a non-linear "fisheye" coordinate transformation is used to resolve the length scales in the vicinity of the binary). Some of the parallel/AMR software presently used is the Cactus Computational Toolkit [261] with the Carpet thorn for AMR [262], paramesh [263], PAMR/AMRD [264], HAD [265] and BAM [266]. Descriptions of some of the more computational aspects of the merger codes can be found in [228,229,231,255,260,266,268,269].…”

GRChombo : Numerical relativity with adaptive mesh refinement

“…The advantage here is twofold: AMR ensures that small emergent features remain well-resolved at all times, but also that only those regions which require this extra resolution gets refined, thus allowing more problems to fit within a given memory footprint. To the best of our knowledge, PAMR/AMRD [25] and HAD [26] are the only two codes with full adaptive mesh refinement (AMR) capabilities in numerical GR.…”

GRDzhadzha: A code for evolving relativistic matter on analytic metric backgrounds

“…Examples of these include the Einstein Toolkit, with its related Cactus (Löffler et al, 2012;Schnetter et al, 2004), and Kranc (Husa et al, 2006) infrastructure used by LEAN (Sperhake, 2007;Zilhao et al, 2010) and Canuda (Witek et al, 2019). Other notable but non-public codes include BAM (Bruegmann et al, 2008;Marronetti et al, 2007), AMSS-NCKU (Galaviz et al, 2010), PAMR/AMRD and HAD (East et al, 2012;Neilsen et al, 2007). Codes such as SPeC (Pfeiffer et al, 2003) and bamps (Hilditch et al, 2016) implement the generalised harmonic formulation of the Einstein equations using a pseudospectral method, and discontinuous Galerkin methods are used in SpECTRE (Cao et al, 2018;Deppe et al, 2021;Kidder et al, 2017).…”