Relativistic magnetohydrodynamics in dynamical spacetimes: Numerical methods and tests

By Matthew D. Duez, Yuk Tung Liu, Stuart L. Shapiro, B. Stephens. 2005

136 citations recorded by the source corpus.

Many problems at the forefront of theoretical astrophysics require the treatment of magnetized fluids in dynamical, strongly curved spacetimes. Such problems include the origin of gamma-ray bursts, magnetic braking of differential rotation in nascent neutron stars arising from stellar core collapse or binary neutron star merger, the formation of jets and magnetized disks around newborn black holes, etc. To model these phenomena, all of which involve both general relativity (GR) and magnetohydrodynamics (MHD), we have developed a GRMHD code capable of evolving MHD fluids in dynamical spacetimes. Our code solves the Einstein-Maxwell-MHD system of coupled equations in axisymmetry and in full $3+1$ dimensions. We evolve the metric by integrating the Baumgarte-Shapiro-Shibata-Nakamura equations, and use a conservative, shock-capturing scheme to evolve the MHD equations. Our code gives accurate results in standard MHD code-test problems, including magnetized shocks and magnetized Bondi flow. To test our code's ability to evolve the MHD equations in a dynamical spacetime, we study the perturbations of a homogeneous, magnetized fluid excited by a gravitational plane wave, and we find good agreement between the analytic and numerical solutions.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/8b058bf460ec1b376ceb4f9377ccd081c15da811

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In Astronomy and Astrophysics

Citations in the corpus

THC: a new high-order finite-difference high-resolution shock-capturing code for special-relativistic hydrodynamics (2012, background): “Examples of the latter are the inclusion of magnetic fields (Koide et al. 1999; Del Zanna et al. 2003; Gammie et al. 2003; Komissarov 2004; Duez et al. 2005; Neilsen et al. 2006; Antón et al. 2006; Giacomazzo & Rezzolla 2007) the use of realistic tabulated equations of state, (see, e.g. Sekiguchi…”
ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics (2007, background): “For the general properties of Alfvénic modes in RMHD, see Anile (1989) and Komissarov (1997); for other (but less straightforward) numerical tests involving a different kind of Alfvénic exact solutions, see Komissarov (1999) and Duez et al. (2005).”
DIRECT CALCULATION OF THE RADIATIVE EFFICIENCY OF AN ACCRETION DISK AROUND A BLACK HOLE (2008, background): “…relativistic MHD simulation codes have 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;…”
Beyond ideal MHD: towards a more realistic modelling of relativistic astrophysical plasmas (2008, background): “…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 et al. 2007;…”
Magnetic acceleration of relativistic AGN jets (2007, background): “…it from most other schemes for relativistic MHD, including those that are based on HLL, KT and similar ﬂux prescriptions (e.g. Gammie et al. 2003; Duez et al. 2005; Koide et al. 1999; Anninos et al. 2006; Shibata & Sekuguchi 2005; Anderson et al. 2006a; Del Zanna et al. 2003; Ant´on et al.…”
Explosion mechanism, neutrino burst and gravitational wave in core-collapse supernovae (2005, background): “Very recently, fully general relativistic and magnetohydrodynamic simulations have also been reported to be practicable [98, 101].”