Pith. sign in

REVIEW 5 cited by

Robust Recovery of Primitive Variables in Relativistic Ideal Magnetohydrodynamics

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2005.01821 v2 pith:KXJC64YH submitted 2020-05-04 gr-qc

Wolfgang Kastaun , Jay Vijay Kalinani , Riccardo Ciolfi This is my paper · ORCID
classification gr-qc
keywords relativisticsolutionvariablesavailablecaseideallibrarymagnetohydrodynamics
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 3D Binary Neutron Star Merger Ejecta Evolution up to Seconds Timescale: Dynamics, Element Distribution, and Light Curves

    astro-ph.HE 2026-08 conditional novelty 6.0 of 10

    Long 3D simulations of neutron star merger ejecta show radioactive heating keeps reshaping heavy-element outflows, and 3D light curves are dimmer but no closer to AT2017gfo than 2D ones.

  2. GRACE: An Open-Source Framework for GPU-Accelerated Numerical Relativity

    gr-qc 2026-07 accept novelty 6.0 of 10

    GRACE is a validated, open-source, Kokkos+p4est GPU-portable framework that evolves ideal GRMHD with constrained transport self-consistently coupled to Z4c Einstein equations on fixed or adaptive meshes.

  3. Magnetic Field Configurations in Binary Neutron Star Mergers II: Inspiral, Merger and Ejecta

    astro-ph.HE 2025-08 conditional novelty 6.0 of 10

    Initial magnetic field topology, especially anti-aligned poloidal fields, strongly controls post-merger field amplification and ejecta magnetisation in neutron star merger simulations.

  4. Magnetic field dynamics in isolated neutron stars with an external dipole field

    astro-ph.HE 2026-05 unverdicted novelty 5.0 of 10

    Long-term numerical relativity simulations find that neutron star magnetic fields relax to stable mixed configurations with toroidal energy fraction ≲10% within one Alfvén time after Tayler instability saturation.

  5. Fast and Accurate Prediction of Neutron Star Structure with Deep Neural Networks

    astro-ph.HE 2026-08 conditional novelty 3.0 of 10

    Feedforward and residual neural networks predict neutron star observables from piecewise polytropic EOS parameters with R^2>0.999 and a ~200x speedup over direct TOV integration.

Pith tools