Simulating magnetized neutron stars with discontinuous Galerkin methods

Deppe, Nils; Hébert, François; Kidder, Lawrence E.; Throwe, William; Anantpurkar, Isha; Armaza, Cristóbal; 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.; Sanchez, Jennifer; Scheel, Mark A.; Thomas, Sierra; Vieira, Daniel; Wittek, Nikolas A.; Wlodarczyk, Tom; Teukolsky, Saul A.

doi:10.1103/physrevd.105.123031

Simulating magnetized neutron stars with discontinuous Galerkin methods

Journal Article · Mon Jun 27 00:00:00 EDT 2022 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.105.123031· OSTI ID:1980118

^[1]; Hébert, François ^[2]; Kidder, Lawrence E. ^[3]; Throwe, William ^[3]; Anantpurkar, Isha ^[3]; Armaza, Cristóbal ^[3]; Bonilla, Gabriel S. ^[4]; Boyle, Michael ^[3]; Chaudhary, Himanshu ^[2]; ^[5]; Vu, Nils L. ^[6]; Foucart, Francois ^[7]; Giesler, Matthew ^[3]; ^[3]; Kim, Yoonsoo ^[2]; Kumar, Prayush ^[8]; Legred, Isaac ^[2]; Li, Dongjun ^[2]; Lovelace, Geoffrey ^[9]; Ma, Sizheng ^[2] more »

California Institute of Technology (CalTech), Pasadena, CA (United States); OSTI
California Institute of Technology (CalTech), Pasadena, CA (United States)
Cornell University, Ithaca, NY (United States)
Cornell University, Ithaca, NY (United States); California State University, Fullerton, CA (United States)
Washington State University, Pullman, WA (United States)
Max Planck Institute for Gravitational Physics, Potsdam (Germany)
University of New Hampshire, Durham, NH (United States)
Cornell University, Ithaca, NY (United States); Tata Institute of Fundamental Research, Bangalore (India)
California State University, Fullerton, CA (United States)
University of Coimbra (Portugal)
Cornell University, Ithaca, NY (United States); University zu Koln (Germany)
Cornell University, Ithaca, NY (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)

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 /ΛΠ^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 in the paper, the only limiting strategy we can endorse is a discontinuous Galerkin-finite-difference hybrid method.

View Accepted Manuscript (DOE)

Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States); University of New Hampshire, Durham, NH (United States)

Sponsoring Organization:: National Science Foundation (NSF); National aeronautics and Space Administration (NASA); Sherman Fairchild Foundation; USDOE Office of Science (SC)

Grant/Contract Number:: SC0020435

OSTI ID:: 1980118

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 12 Vol. 105; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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