Cosmos++: Relativistic Magnetohydrodynamics on Unstructured Grids with Local Adaptive Refinement

By Peter Anninos, P. Chris Fragile, J. D. T. L. A. N. Laboratory, U. California, Santa Barbara, College of Charleston. 2005

132 citations recorded by the source corpus.

A new code and methodology are introduced for solving the general relativistic magnetohydrodynamic (GRMHD) equations in fixed background spacetimes using time-explicit, finite-volume discretization. The code has options for solving the GRMHD equations using traditional artificial viscosity (AV) or nonoscillatory central difference (NOCD) methods, or a new extended AV (eAV) scheme using artificial viscosity together with a dual energy/flux-conserving formulation. The dual-energy approach allows for accurate modeling of highly relativistic flows at boost factors well beyond what has been achieved to date by standard artificial viscosity methods. It provides the benefit of Godunov methods in capturing high Lorentz boosted flows, but without complicated Riemann solvers, and the advantages of traditional artificial viscosity methods in their speed and flexibility. In addition, the GRMHD equations are solved on an unstructured grid that supports local adaptive mesh refinement using a fully threaded oct-tree (in three dimensions) network to traverse the grid hierarchy across levels and immediate neighbors. A number of tests are presented to demonstrate robustness of the numerical algorithms and adaptive mesh framework over a wide spectrum of problems, boosts, and astrophysical applications, including relativistic shock tubes, shock collisions, magnetosonic shocks, Alfvén wave propagation, blast waves, magnetized Bondi flow, and the magnetorotational instability in Kerr black hole spacetimes.

Subfields: Astronomy and Astrophysics, Computational Mechanics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/bac3990133b9ffe4d13ff6eb69ca6d504d1ad67f

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Citations in the corpus

GRACKLE: a chemistry and cooling library for astrophysics (2016, unknown): “…(Springel 2010) • ART-I (Kravtsov 1999; Kravtsov et al. 2002) • ART-II (Rudd et al. 2008) • CHANGA (Wadsley et al. 2004; Stinson et al. 2006) • Cosmos++ (Anninos et al. 2003, 2005) • Enzo (Bryan et al. 2014) • Gadget-3 (Springel 2005) • GAMER (Schive et al. 2010) • GASOLINE (Wadsley et al.…”
ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics (2007, methodology): “Moreover, different methods other than Godunov-type have also been proposed for GRMHD (Koide et al. 1999; Wilson & Mathews 2003; Koide 2003; De Villiers & Hawley 2003; Anninos et al. 2005) and (GR)MD (Spitkovsky 2006).”
Beyond ideal MHD: towards a more realistic modelling of relativistic astrophysical plasmas (2008, background): “…in fully nonlinear regimes (Komissarov 1999b; Koide et al. 1999; Komissarov 2001; Koldoba et al. 2002; Gammie et al. 2003; Del Zanna et al. 2003; Anninos et al. 2005; Duez et al. 2005; Shibata & Sekiguchi 2005; Neilsen et al. 2006; Anton et al. 2006; McKinney 2006a; Mignone & Bodo 2006; Noble…”
ASSESSING QUANTITATIVE RESULTS IN ACCRETION SIMULATIONS: FROM LOCAL TO GLOBAL (2011, background): “…from pseudo-Newtonian dynamics (Hawley & Krolik 2001; Machida & Matsumoto 2003) to full three-dimensional general relativistic physics (De Villiers & Hawley 2003; Gammie et al. 2003; Anninos et al. 2005), most recently including toy-model thermodynamics (Noble et al. 2009; Shafee et al. 2008).”
Three-dimensional general relativistic radiation magnetohydrodynamical simulation of super-Eddington accretion, using a new code HARMRAD with M1 closure (2013, methodology): “RIAFs have been studied with various GRMHD codes (with no radiative transfer) (e.g., De Villiers et al. 2003; Gammie et al. 2003; Anninos et al. 2005; Del Zanna et al. 2007), and these simulations seek to find thermodynamically and dynamically selfconsistent solutions and to determine what free…”
Global General Relativistic Magnetohydrodynamic Simulation of a Tilted Black Hole Accretion Disk (2007, methodology): “This work is carried out using the Cosmos++ astrophysical magnetohydrodynamics code (Anninos et al. 2005).”
DIRECT CALCULATION OF THE RADIATIVE EFFICIENCY OF AN ACCRETION DISK AROUND A BLACK HOLE (2008, background): “…been written al- ready (Komissarov 1999; Koide et al. 1999; Gammie et al. 2003; De Villiers & Hawley 2003; Duez et al. 2005; Shibata & Sekiguchi 2005; Anninos et al. 2005; Antón et al. 2006; Noble et al. 2006; Mizuno et al. 2006; Anderson et al. 2006; Tchekhovskoy et al. 2007; Fragile et al.…”
Global simulations of axisymmetric radiative black hole accretion discs in general relativity with a mean-field magnetic dynamo (2014, unknown): “Optically thin flows have been extensively studied by means of general relativistic (GR) magnetohydrodynamical (MHD) simulations (e.g., De Villiers et al. 2003; Gammie et al. 2003; Anninos et al. 2005; Del Zanna et al. 2007; Narayan et al. 2012; McKinney et al. 2012; Tchekhovskoy & McKinney 2012).”
Numerical simulations of super-critical black hole accretion flows in general relativity (2013, background): “In the last decade a number of such codes were developed (e.g., De Villiers et al. 2003; Gammie et al. 2003; Anninos et al. 2005; Del Zanna et al. 2007).”
Hot Accretion Flows Around Black Holes (2014, methodology): “A number of codes have been used, notably, ZEUS (Stone & Norman 1992a, 1992b), HARM (Gammie et al. 2003), the GRMHD code of De Villiers & Hawley (2003a), COSMOS++ (Anninos et al. 2005), and ATHENA (Stone et al. 2008).”