Higher-level large-eddy filtering strategy for general relativistic fluid simulations

Fuente: arXiv
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Main Authors: Celora, Thomas, Andersson, Nils, Hawke, Ian, Comer, Greg L., Hatton, Marcus J.
Format: Preprint
Published: 2024
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author Celora, Thomas
Andersson, Nils
Hawke, Ian
Comer, Greg L.
Hatton, Marcus J.
author_facet Celora, Thomas
Andersson, Nils
Hawke, Ian
Comer, Greg L.
Hatton, Marcus J.
contents Nonlinear simulations of neutron star mergers are complicated by the need to represent turbulent dynamics. As we cannot (yet) perform simulations that resolve accurately both the gravitational-wave scale and the smallest scales at which magneto/hydrodynamic turbulence plays a role, we need to rely on approximations. Addressing this problem in the context of large-eddy models, we outline a coherent Lagrangian filtering framework that allows us to explore the many issues that arise, linking conceptual problems to practical implementations and the interpretation of the results. We develop understanding crucial for quantifying unavoidable uncertainties in current and future numerical relativity simulations and consider the implications for neutron-star parameter estimation and constraints on the equation of state of matter under extreme conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2407_18012
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Higher-level large-eddy filtering strategy for general relativistic fluid simulations
Celora, Thomas
Andersson, Nils
Hawke, Ian
Comer, Greg L.
Hatton, Marcus J.
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Fluid Dynamics
Plasma Physics
Nonlinear simulations of neutron star mergers are complicated by the need to represent turbulent dynamics. As we cannot (yet) perform simulations that resolve accurately both the gravitational-wave scale and the smallest scales at which magneto/hydrodynamic turbulence plays a role, we need to rely on approximations. Addressing this problem in the context of large-eddy models, we outline a coherent Lagrangian filtering framework that allows us to explore the many issues that arise, linking conceptual problems to practical implementations and the interpretation of the results. We develop understanding crucial for quantifying unavoidable uncertainties in current and future numerical relativity simulations and consider the implications for neutron-star parameter estimation and constraints on the equation of state of matter under extreme conditions.
title Higher-level large-eddy filtering strategy for general relativistic fluid simulations
topic High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Fluid Dynamics
Plasma Physics
url https://arxiv.org/abs/2407.18012