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  Implementing a new recovery scheme for primitive variables in the general relativistic magnetohydrodynamic code Spritz

Kalinani, J. V., Ciolfi, R., Kastaun, W., Giacomazzo, B., Cipolletta, F., & Ennoggi, L. (2022). Implementing a new recovery scheme for primitive variables in the general relativistic magnetohydrodynamic code Spritz. Physical Review D, 105(10): 103031. doi:10.1103/PhysRevD.105.103031.

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 Creators:
Kalinani, Jay V., Author
Ciolfi, Riccardo, Author
Kastaun, Wolfgang1, Author              
Giacomazzo, Bruno, Author
Cipolletta, Federico, Author
Ennoggi, Lorenzo, Author
Affiliations:
1Binary Merger Observations and Numerical Relativity, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_2461691              

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Free keywords: Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE, Astrophysics, Instrumentation and Methods for Astrophysics, astro-ph.IM,General Relativity and Quantum Cosmology, gr-qc
 Abstract: General relativistic magnetohydrodynamic (GRMHD) simulations represent a fundamental tool to probe various underlying mechanisms at play during binary neutron star (BNS) and neutron star (NS) - black hole (BH) mergers. Contemporary flux-conservative GRMHD codes numerically evolve a set of conservative equations based on `conserved' variables which then need to be converted back into the fundamental (`primitive') variables. The corresponding conservative-to-primitive variable recovery procedure, based on root-finding algorithms, constitutes one of the core elements of such GRMHD codes. Recently, a new robust, accurate and efficient recovery scheme called RePrimAnd was introduced, which has demonstrated the ability to always converge to a unique solution. The scheme provides fine-grained error policies to handle invalid states caused by evolution errors, and also provides analytical bounds for the error of all primitive variables. In this work, we describe the technical aspects of implementing the RePrimAnd scheme into the GRMHD code Spritz. To check our implementation as well as to assess the various features of the scheme, we perform a number of GRMHD tests in three dimensions. Our tests, which include critical cases such as a NS collapse to a BH as well as the early evolution (~50 ms) of a Fishbone-Moncrief BH-accrection disk system, show that RePrimAnd is able to support magnetized, low density environments with magnetic-to-fluid pressure ratios as high as 10^4, in situations where the previously used recovery scheme fails.

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 Dates: 2021-07-222022-05-122022
 Publication Status: Published in print
 Pages: 18 pages, 15 figures, matching accepted version
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2107.10620
DOI: 10.1103/PhysRevD.105.103031
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 105 (10) Sequence Number: 103031 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258