Article In: orcid

Simulating magnetized neutron stars with discontinuous Galerkin methods

Physical Review D

Deppe, Nils; Hébert, François; Teukolsky, Saul A. — 2022

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Authors:

Deppe, Nils; Hébert, François; Kidder, Lawrence E.; Throwe, William; Anantpurkar, Isha; Armaza, Crist'obal; Bonilla, Gabriel S.; Boyle, Michael; Chaudhary, Himanshu; Duez, Matthew D.; Vu, Nils L.; Foucart, Francois; Giesler, Matthew; Guo, Jason S.; Kim, Yoonsoo; Kumar, Prayush; Legred, Isaac; Li, Dongjun; Lovelace, Geoffrey; Ma, Sizheng; Macedo, Alexandra; Melchor, Denyz; Morales, Marlo; Moxon, Jordan; Nelli, Kyle C.; O'Shea, Eamonn; Pfeiffer, Harald P.; Ramirez, Teresita; Rüter, Hannes R. (Hannes Robert Rüter); Sanchez, Jennifer; Scheel, Mark A.; Thomas, Sierra; Vieira, Daniel; Wittek, Nikolas A.; Wlodarczyk, Tom; Teukolsky, Saul A.

Published in

June 27, 2022

Abstract

Discontinuous Galerkin methods are popular because they can achieve high order where the solution is smooth, because they can capture shocks while needing only nearest-neighbor communication, and because they are relatively easy to formulate on complex meshes. We perform a detailed comparison of various limiting strategies presented in the literature applied to the equations of general relativistic magnetohydrodynamics. We compare the standard minmod/$\Lambda\Pi^N$ limiter, the hierarchical limiter of Krivodonova, the simple WENO limiter, the HWENO limiter, and a discontinous Galerkin-finite-difference hybrid method. The ultimate goal is to understand what limiting strategies are able to robustly simulate magnetized TOV stars without any fine-tuning of parameters. Among the limiters explored here, the only limiting strategy we can endorse is a discontinous Galerkin-finite-difference hybrid method.

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Title of the publication container

Physical Review D

Volume

105

DOI

10.1103/PhysRevD.105.123031

Fields of Science and Technology (FOS)

physical-sciences - Physical sciences

Publication language (ISO code)

eng - English

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