Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 023018 |
| Fachzeitschrift | Physical Review D |
| Jahrgang | 103 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - 20 Jan. 2021 |
Abstract
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Physik und Astronomie (sonstige)
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in: Physical Review D, Jahrgang 103, Nr. 2, 023018, 20.01.2021.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Robust recovery of primitive variables in relativistic ideal magnetohydrodynamics
AU - Kastaun, Wolfgang
AU - Kalinani, Jay Vijay
AU - Ciolfi, Riccardo
N1 - Funding Information: This work was supported by the Max Planck Society’s Independent Research Group Programme. J. V. K. kindly acknowledges the CARIPARO Foundation for funding his Ph.D. fellowship within the Ph.D. School in Physics at the University of Padova.
PY - 2021/1/20
Y1 - 2021/1/20
N2 - Modern simulation codes for general relativistic ideal magnetohydrodynamics are all facing a longstanding technical problem given by the need to recover fundamental variables from those variables that are evolved in time. In the relativistic case, this requires the numerical solution of a system of nonlinear equations. Although several approaches are available, none has proven completely reliable. A recent study comparing different methods showed that all can fail, in particular for the important case of strong magnetization and moderate Lorentz factors. Here, we propose a new robust, efficient, and accurate solution scheme, along with a proof for the existence and uniqueness of a solution, and analytic bounds for the accuracy. Further, the scheme allows us to reliably detect evolution errors leading to unphysical states and automatically applies corrections for typical harmless cases. A reference implementation of the method is made publicly available as a software library. The aim of this library is to improve the reliability of binary neutron star merger simulations, in particular in the investigation of jet formation and magnetically driven winds.
AB - Modern simulation codes for general relativistic ideal magnetohydrodynamics are all facing a longstanding technical problem given by the need to recover fundamental variables from those variables that are evolved in time. In the relativistic case, this requires the numerical solution of a system of nonlinear equations. Although several approaches are available, none has proven completely reliable. A recent study comparing different methods showed that all can fail, in particular for the important case of strong magnetization and moderate Lorentz factors. Here, we propose a new robust, efficient, and accurate solution scheme, along with a proof for the existence and uniqueness of a solution, and analytic bounds for the accuracy. Further, the scheme allows us to reliably detect evolution errors leading to unphysical states and automatically applies corrections for typical harmless cases. A reference implementation of the method is made publicly available as a software library. The aim of this library is to improve the reliability of binary neutron star merger simulations, in particular in the investigation of jet formation and magnetically driven winds.
UR - http://www.scopus.com/inward/record.url?scp=85100443723&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2005.01821
DO - 10.48550/arXiv.2005.01821
M3 - Article
VL - 103
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 2
M1 - 023018
ER -