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Journal Article

Binary neutron star mergers using a discontinuous Galerkin-finite difference hybrid method

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Pfeiffer,  Harald P.
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Deppe, N., Foucart, F., Bonilla, M. S., Boyle, M., Corso, N. J., Duez, M. D., et al. (2024). Binary neutron star mergers using a discontinuous Galerkin-finite difference hybrid method. Classical and Quantum Gravity, 41(24): 245002. doi:10.1088/1361-6382/ad88cf.


Cite as: https://hdl.handle.net/21.11116/0000-0010-6671-C
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.