General relativistic force-free electrodynamics with a discontinuous Galerkin-finite difference hybrid method

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Main Authors: Kim, Yoonsoo, Most, Elias R., Throwe, William, Teukolsky, Saul A., Deppe, Nils
Format: Preprint
Published: 2024
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author Kim, Yoonsoo
Most, Elias R.
Throwe, William
Teukolsky, Saul A.
Deppe, Nils
author_facet Kim, Yoonsoo
Most, Elias R.
Throwe, William
Teukolsky, Saul A.
Deppe, Nils
contents Relativistic plasmas around compact objects can sometimes be approximated as being force-free. In this limit, the plasma inertia is negligible and the overall dynamics is governed by global electric currents. We present a novel numerical approach for simulating such force-free plasmas, which allows for high accuracy in smooth regions as well as capturing dissipation in current sheets. Using a high-order accurate discontinuous Galerkin method augmented with a conservative finite-difference method, we demonstrate efficient global simulations of black hole and neutron star magnetospheres. In addition to a series of challenging test problems, we show that our approach can-depending on the physical properties of the system and the numerical implementation-be up to 10x more efficient than conventional simulations, with a speedup of 2-3x for most problems we consider in practice.
format Preprint
id arxiv_https___arxiv_org_abs_2404_01531
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle General relativistic force-free electrodynamics with a discontinuous Galerkin-finite difference hybrid method
Kim, Yoonsoo
Most, Elias R.
Throwe, William
Teukolsky, Saul A.
Deppe, Nils
Instrumentation and Methods for Astrophysics
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Plasma Physics
Relativistic plasmas around compact objects can sometimes be approximated as being force-free. In this limit, the plasma inertia is negligible and the overall dynamics is governed by global electric currents. We present a novel numerical approach for simulating such force-free plasmas, which allows for high accuracy in smooth regions as well as capturing dissipation in current sheets. Using a high-order accurate discontinuous Galerkin method augmented with a conservative finite-difference method, we demonstrate efficient global simulations of black hole and neutron star magnetospheres. In addition to a series of challenging test problems, we show that our approach can-depending on the physical properties of the system and the numerical implementation-be up to 10x more efficient than conventional simulations, with a speedup of 2-3x for most problems we consider in practice.
title General relativistic force-free electrodynamics with a discontinuous Galerkin-finite difference hybrid method
topic Instrumentation and Methods for Astrophysics
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Plasma Physics
url https://arxiv.org/abs/2404.01531