Binary neutron star mergers using a discontinuous Galerkin-finite difference hybrid method
Abstract We present a discontinuous Galerkin-finite difference hybrid scheme that allows high-order shock capturing with the discontinuous Galerkin method for general relativistic magnetohydrodynamics in dynamical spacetimes. We present several optimizations and stability improvements to our algorithm that allow the hybrid method to successfully simulate single, rotating, and binary neutron stars. The hybrid method achieves the efficiency of discontinuous Galerkin methods throughout almost the entire spacetime during the inspiral phase, while being able to robustly capture shocks and resolve the stellar surfaces. We also use Cauchy-characteristic evolution to compute the first gravitational waveforms at future null infinity from binary neutron star mergers. The simulations presented here are the first successful binary neutron star inspiral and merger simulations using discontinuous Galerkin methods.
Authors
- Michael Boyle (ORCID: https://orcid.org/0000-0002-5075-5116)
- François Hébert (ORCID: https://orcid.org/0000-0001-9009-6955)
- Elias R. Most (ORCID: https://orcid.org/0000-0002-0491-1210)
- Kyle C. Nelli (ORCID: https://orcid.org/0000-0003-2426-8768)
- François Foucart (ORCID: https://orcid.org/0000-0003-4617-4738)
- William Throwe (ORCID: https://orcid.org/0000-0001-5059-4378)
- Jordan Moxon (ORCID: https://orcid.org/0000-0001-9891-8677)
- Nicholas J. Corso (ORCID: https://orcid.org/0000-0002-0088-2563)
- Matthew Giesler (ORCID: https://orcid.org/0000-0003-2300-893X)
- Harald Pfeiffer (ORCID: https://orcid.org/0000-0001-9288-519X)
- P. Kumar (ORCID: https://orcid.org/0000-0001-5523-4603)
- Isaac Legred (ORCID: https://orcid.org/0000-0002-9523-9617)
- Nils L. Vu (ORCID: https://orcid.org/0000-0002-5767-3949)
- Nils Deppe (ORCID: https://orcid.org/0000-0003-4557-4115)
- M. S. Bonilla (ORCID: https://orcid.org/0000-0003-4502-528X)
- Geoffrey Lovelace (ORCID: https://orcid.org/0000-0002-7084-1070)
- Mark Scheel (ORCID: https://orcid.org/0000-0001-6656-9134)
- Saul A. Teukolsky (ORCID: https://orcid.org/0000-0001-9765-4526)
- Yoonsoo Kim (ORCID: https://orcid.org/0000-0002-4305-6026)
- Matthew Duez (ORCID: https://orcid.org/0000-0002-0050-1783)
- Larry Kidder (ORCID: https://orcid.org/0000-0001-5392-7342)
Publication Details
- Journal
- Classical and Quantum Gravity
- Published
- 2024-10-18
- DOI
- https://doi.org/10.1088/1361-6382/ad88cf
- Citations
- 4
- Primary Topic
- Pulsars and Gravitational Waves Research
- Type
- article
- Field-Weighted Citation Impact
- 1.33
Funders
- National Science Foundation
- Sherman Fairchild Foundation
- NASA Headquarters