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  General-Relativistic Resistive Magnetohydrodynamics in three dimensions: formulation and tests

Dionysopoulou, K., Alic, D., Palenzuela, C., Rezzolla, L., & Giacomazzo, B. (2013). General-Relativistic Resistive Magnetohydrodynamics in three dimensions: formulation and tests. Physical Review D, 88(4): 044020. doi:10.1103/PhysRevD.88.044020.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0010-0D07-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-13FC-4
Genre: Journal Article

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1208.3487 (Preprint), 2MB
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 Creators:
Dionysopoulou, Kyriaki, Author
Alic, Daniela1, Author              
Palenzuela, Carlos1, Author              
Rezzolla, Luciano1, Author              
Giacomazzo, Bruno1, Author              
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We present a new numerical implementation of the general-relativistic resistive magnetohydrodynamics (MHD) equations within the Whisky code. The numerical method adopted exploits the properties of Implicit-Explicit Runge-Kutta numerical schemes to treat the stiff terms that appear in the equations for small electrical conductivities. Using tests in one, two, and three dimensions, we show that our implementation is robust and recovers the ideal-MHD limit in regimes of very high conductivity. Moreover, the results illustrate that the code is capable of describing physical setups in all ranges of conductivities. In addition to tests in flat spacetime, we report simulations of magnetized nonrotating relativistic stars, both in the Cowling approximation and in dynamical spacetimes. Finally, because of its astrophysical relevance and because it provides a severe testbed for general-relativistic codes with dynamical electromagnetic fields, we study the collapse of a nonrotating star to a black hole. We show that also in this case our results are in very good agreement with the perturbative studies of the dynamics of electromagnetic fields in a Schwarzschild background and provide an accurate estimate of the electromagnetic efficiency of this process.

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 Dates: 2012-08-162012-102013
 Publication Status: Published in print
 Pages: 18 pages, 16 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1208.3487
DOI: 10.1103/PhysRevD.88.044020
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 88 (4) Sequence Number: 044020 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258