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Simulating magnetized neutron stars with discontinuous Galerkin methods

Deppe, Nils and Hébert, François and Kidder, Lawrence E. and Throwe, William and Anantpurkar, Isha and Armaza, Cristóbal and Bonilla, Gabriel S. and Boyle, Michael and Chaudhary, Himanshu and Duez, Matthew D. and Vu, Nils L. and Foucart, François and Giesler, Matthew and Guo, Jason S. and Kim, Yoonsoo and Kumar, Prayush and Legred, Isaac and Li, Dongjun and Lovelace, Geoffrey and Ma, Sizheng and Macedo, Alexandra and Melchor, Denyz and Morales, Marlo and Moxon, Jordan and Nelli, Kyle C. and O’Shea, Eamonn and Pfeiffer, Harald P. and Ramirez, Teresita and Rüter, Hannes R. and Sanchez, Jennifer and Scheel, Mark A. and Thomas, Sierra and Vieira, Daniel and Wittek, Nikolas A. and Wlodarczyk, Tom and Teukolsky, Saul A. (2022) Simulating magnetized neutron stars with discontinuous Galerkin methods. Physical Review D, 105 (12). Art. No. 123031. ISSN 2470-0010. doi:10.1103/physrevd.105.123031.

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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/ΛΠᴺ 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-finite-difference hybrid method.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Deppe, Nils0000-0003-4557-4115
Hébert, François0000-0001-9009-6955
Kidder, Lawrence E.0000-0001-5392-7342
Throwe, William0000-0001-5059-4378
Bonilla, Gabriel S.0000-0003-4502-528X
Boyle, Michael0000-0002-5075-5116
Chaudhary, Himanshu0000-0002-4101-0534
Duez, Matthew D.0000-0002-0050-1783
Vu, Nils L.0000-0002-5767-3949
Foucart, François0000-0003-4617-4738
Giesler, Matthew0000-0003-2300-893X
Guo, Jason S.0000-0002-5196-4104
Legred, Isaac0000-0002-9523-9617
Lovelace, Geoffrey0000-0002-7084-1070
Ma, Sizheng0000-0002-4645-453X
Moxon, Jordan0000-0001-9891-8677
Nelli, Kyle C.0000-0003-2426-8768
O’Shea, Eamonn0000-0002-0230-9533
Pfeiffer, Harald P.0000-0001-9288-519X
Scheel, Mark A.0000-0001-6656-9134
Vieira, Daniel0000-0001-8019-0390
Wittek, Nikolas A.0000-0001-8575-5450
Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:© 2022 American Physical Society. (Received 29 September 2021; revised 6 May 2022; accepted 1 June 2022; published 27 June 2022) Charm++/Converse [83] was developed by the Parallel Programming Laboratory in the Department of Computer Science at the University of Illinois at Urbana-Champaign. The figures in this article were produced with matplotlib [84,85], tikz [86] and paraview [87,88]. Computations were performed with the Wheeler cluster at Caltech. This work was supported in part by the Sherman Fairchild Foundation and by NSF Grants No. PHY-2011961, No. PHY-2011968, and No. OAC-1931266 at Caltech, and NSF Grants No. PHY- 1912081 and No. OAC-1931280 at Cornell. P. K. acknowledges support of the Department of Atomic Energy, Government of India, under Project No. RTI4001, and by the Ashok and Gita Vaish Early Career Faculty Fellowship at the International Centre for Theoretical Sciences. M. D. acknowledges support from the NSF through Grant No. PHY-2110287. F. F. acknowledges support from the DOE through Grant No. DE-SC0020435, from NASA through Grant No. 80NSSC18K0565 and from the NSF through Grant No. PHY-1806278. G. L. is pleased to acknowledge support from the NSF through Grants No. PHY-1654359 and No. AST-1559694 and from Nicholas and Lee Begovich and the Dan Black Family Trust. H. R. R. acknowledges support from the Fundação para a Ciência e Tecnologia (FCT) within the Projects No. UID/04564/2021, No. UIDB/04564/2020, No. UIDP/04564/2020 and No. EXPL/FIS-AST/0735/2021.
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Department of Atomic Energy (India)RTI4001
International Centre for Theoretical SciencesUNSPECIFIED
Department of Energy (DOE)DE-SC0020435
Nicholas and Lee BegovichUNSPECIFIED
Dan Black Family TrustUNSPECIFIED
Fundação para a Ciência e a Tecnologia (FCT)UID/04564/2021
Fundação para a Ciência e a Tecnologia (FCT)UIDB/04564/2020
Fundação para a Ciência e a Tecnologia (FCT)UIDP/04564/2020
Fundação para a Ciência e a Tecnologia (FCT)EXPL/FIS-AST/0735/2021
Issue or Number:12
Record Number:CaltechAUTHORS:20220715-332513000
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115633
Deposited By: George Porter
Deposited On:18 Jul 2022 15:16
Last Modified:18 Jul 2022 15:16

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