Deppe, Nils ORCID: 0000-0003-4557-4115, Hebert, Francois, Kidder, Lawrence E., Throwe, William, Anantpurkar, Isha, Armaza, Cristobal ORCID: 0000-0002-1791-0743, 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 ORCID: 0000-0002-7084-1070, Ma, Sizheng, Macedo, Alexandra, Melchor, Denyz, Morales, Marlo, Moxon, Jordan, Nelli, Kyle C., O'Shea, Eamonn, Pfeiffer, Harald P., Ramirez, Teresita, Ruter, Hannes R. ORCID: 0000-0002-3442-5360, Sanchez, Jennifer, Scheel, Mark A., Thomas, Sierra, Vieira, Daniel, Wittek, Nikolas A., Wlodarczyk, Tom and Teukolsky, Saul A. (2022). Simulating magnetized neutron stars with discontinuous Galerkin methods. Phys. Rev. D, 105 (12). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0029

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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 discontinuous Galerkin-finite-difference hybrid method. The ultimate goal is to understand what limiting strategies are able to robustly simulate magnetized Tolman-Oppenheimer-Volkoff stars without any fine-tuning of parameters. Among the limiters explored here, the only limiting strategy we can endorse is a discontinuous Galerkin-finitedifference hybrid method.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Deppe, NilsUNSPECIFIEDorcid.org/0000-0003-4557-4115UNSPECIFIED
Hebert, FrancoisUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kidder, Lawrence E.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Throwe, WilliamUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Anantpurkar, IshaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Armaza, CristobalUNSPECIFIEDorcid.org/0000-0002-1791-0743UNSPECIFIED
Bonilla, Gabriel S.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Boyle, MichaelUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Chaudhary, HimanshuUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Duez, Matthew D.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Vu, Nils L.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Foucart, FrancoisUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Giesler, MatthewUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Guo, Jason S.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kim, YoonsooUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kumar, PrayushUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Legred, IsaacUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Li, DongjunUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Lovelace, GeoffreyUNSPECIFIEDorcid.org/0000-0002-7084-1070UNSPECIFIED
Ma, SizhengUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Macedo, AlexandraUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Melchor, DenyzUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Morales, MarloUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Moxon, JordanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Nelli, Kyle C.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
O'Shea, EamonnUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Pfeiffer, Harald P.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Ramirez, TeresitaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Ruter, Hannes R.UNSPECIFIEDorcid.org/0000-0002-3442-5360UNSPECIFIED
Sanchez, JenniferUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Scheel, Mark A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Thomas, SierraUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Vieira, DanielUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Wittek, Nikolas A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Wlodarczyk, TomUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Teukolsky, Saul A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-691914
DOI: 10.1103/PhysRevD.105.123031
Journal or Publication Title: Phys. Rev. D
Volume: 105
Number: 12
Date: 2022
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2470-0029
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
FINITE-ELEMENT-METHOD; GENERAL-RELATIVISTIC MAGNETOHYDRODYNAMICS; HIGH-ORDER; CONSERVATION-LAWS; SCHEME; EQUATIONS; CODE; MHD; HYDRODYNAMICSMultiple languages
Astronomy & Astrophysics; Physics, Particles & FieldsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/69191

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