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http://hdl.handle.net/20.500.12386/34375
Title: | Robust Recovery of Primitive Variables in Relativistic Ideal Magnetohydrodynamics | Authors: | Wolfgang Kastaun Jay Vijay Kalinani CIOLFI, RICCARDO |
Issue Date: | 2021 | Journal: | PHYSICAL REVIEW D | Number: | 103 | Issue: | 2 | Abstract: | Modern simulation codes for general relativistic ideal magnetohydrodynamics are all facing a long standing 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. | URI: | http://hdl.handle.net/20.500.12386/34375 | URL: | https://journals.aps.org/prd/abstract/10.1103/PhysRevD.103.023018 http://arxiv.org/abs/2005.01821v2 |
ISSN: | 2470-0010 | DOI: | 10.1103/PhysRevD.103.023018 | Fulltext: | open |
Appears in Collections: | 1.01 Articoli in rivista |
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