An Extension of Gmunu: General-relativistic Resistive Magnetohydrodynamics Based on Staggered-meshed Constrained Transport with Elliptic Cleaning

Abstract We present the implementation of general-relativistic resistive magnetohydrodynamics solvers and three divergence-free handling approaches adopted in the G eneral-relativistic mu ltigrid nu merical ( Gmunu ) code. In particular, implicit–explicit Runge–Kutta schemes are used to deal with th...

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Bibliographic Details
Published in:The Astrophysical journal. Supplement series 2022-08, Vol.261 (2), p.22
Main Authors: Cheong, Patrick Chi-Kit, Tung Pong, David Yat, Long Yip, Anson Ka, Feng Li, Tjonnie Guang
Format: Article
Language:English
Subjects:
Benchmarks
Cleaning
Computational methods
Divergence
Evolution
General relativity
Handling
Lagrange multiplier
Magnetars
Magnetic fields
Magnetohydrodynamics
Neutron stars
Plasma astrophysics
Relativistic effects
Runge-Kutta method
Solvers
Stellar evolution
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Summary:Abstract We present the implementation of general-relativistic resistive magnetohydrodynamics solvers and three divergence-free handling approaches adopted in the G eneral-relativistic mu ltigrid nu merical ( Gmunu ) code. In particular, implicit–explicit Runge–Kutta schemes are used to deal with the stiff terms in the evolution equations for small resistivity. The three divergence-free handling methods are (i) hyperbolic divergence cleaning (also known as the generalized Lagrange multiplier), (ii) staggered-meshed constrained transport schemes, and (iii) elliptic cleaning through a multigrid solver, which is applicable in both cell-centered and face-centered (stagger grid) magnetic fields. The implementation has been tested with a number of numerical benchmarks from special-relativistic to general-relativistic cases. We demonstrate that our code can robustly recover from the ideal magnetohydrodynamics limit to a highly resistive limit. We also illustrate the applications in modeling magnetized neutron stars, and compare how different divergence-free handling methods affect the evolution of the stars. Furthermore, we show that the preservation of the divergence-free condition of the magnetic field when using staggered-meshed constrained transport schemes can be significantly improved by applying elliptic cleaning.
ISSN:0067-0049
1538-4365
DOI:10.3847/1538-4365/ac6cec