Halted-pendulum Relaxation: Application to White Dwarf Binary Initial Data

Studying compact-star binaries and their mergers is integral to determining progenitors for observable transients. Today, compact-star mergers are typically studied via state-of-the-art computational fluid dynamics codes. One such numerical technique, smoothed particle hydrodynamics (SPH), is freque...

Full description

Bibliographic Details
Main Authors: M. Alexander R. Kaltenborn, Michael J. Falato, Oleg Korobkin, Irina Sagert, Wesley P. Even
Format: Article
Language:English
Published: IOP Publishing 2023-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/acd75a
_version_ 1797698314597040128
author M. Alexander R. Kaltenborn
Michael J. Falato
Oleg Korobkin
Irina Sagert
Wesley P. Even
author_facet M. Alexander R. Kaltenborn
Michael J. Falato
Oleg Korobkin
Irina Sagert
Wesley P. Even
author_sort M. Alexander R. Kaltenborn
collection DOAJ
description Studying compact-star binaries and their mergers is integral to determining progenitors for observable transients. Today, compact-star mergers are typically studied via state-of-the-art computational fluid dynamics codes. One such numerical technique, smoothed particle hydrodynamics (SPH), is frequently chosen for its excellent mass, energy, and momentum conservation. The natural treatment of vacuum and the ability to represent highly irregular morphologies make SPH an excellent tool for the study of compact-star binaries and mergers. For many scenarios, including binary systems, the outcome of simulations is only as accurate as the initial conditions. For SPH, it is essential to ensure that the particles are distributed regularly, representing the initial density profile but without long-range correlations. Particle noise in the form of high-frequency local motion and low-frequency global dynamics must be damped out. Damping the latter can be as computationally intensive as the actual simulation. We discuss a new and straightforward relaxation method, halted-pendulum relaxation (HPR), to remove global oscillation modes of SPH particle configurations. In combination with effective external potentials representing gravitational and orbital forces, we show that HPR has an excellent performance in efficiently relaxing SPH particles to the desired density distribution and removing global oscillation modes. We compare the method to frequently used relaxation approaches and test it on a white dwarf binary model at its Roche-lobe overflow limit. We highlight the importance of our method in achieving accurate initial conditions and its effect on achieving circular orbits and realistic accretion rates when compared with other general relaxation methods.
first_indexed 2024-03-12T03:52:28Z
format Article
id doaj.art-6940d4c64d8a4faea96f3b97ffa8c344
institution Directory Open Access Journal
issn 1538-4357
language English
last_indexed 2024-03-12T03:52:28Z
publishDate 2023-01-01
publisher IOP Publishing
record_format Article
series The Astrophysical Journal
spelling doaj.art-6940d4c64d8a4faea96f3b97ffa8c3442023-09-03T12:16:06ZengIOP PublishingThe Astrophysical Journal1538-43572023-01-0195216010.3847/1538-4357/acd75aHalted-pendulum Relaxation: Application to White Dwarf Binary Initial DataM. Alexander R. Kaltenborn0https://orcid.org/0000-0002-9604-7908Michael J. Falato1https://orcid.org/0000-0002-4510-7325Oleg Korobkin2https://orcid.org/0000-0003-4156-5342Irina Sagert3https://orcid.org/0000-0002-1487-0360Wesley P. Even4https://orcid.org/0000-0002-5412-3618Center for Theoretical Astrophysics, Los Alamos National Laboratory , Los Alamos, NM 87545, USA; Theoretical Division, Los Alamos National Laboratory , Los Alamos, NM 87545, USACenter for Theoretical Astrophysics, Los Alamos National Laboratory , Los Alamos, NM 87545, USA; Computer, Computational, and Statistical Sciences Division, Los Alamos National Laboratory , Los Alamos, NM 87545, USACenter for Theoretical Astrophysics, Los Alamos National Laboratory , Los Alamos, NM 87545, USA; Theoretical Division, Los Alamos National Laboratory , Los Alamos, NM 87545, USACenter for Theoretical Astrophysics, Los Alamos National Laboratory , Los Alamos, NM 87545, USA; Computer, Computational, and Statistical Sciences Division, Los Alamos National Laboratory , Los Alamos, NM 87545, USACenter for Theoretical Astrophysics, Los Alamos National Laboratory , Los Alamos, NM 87545, USA; Theoretical Division, Los Alamos National Laboratory , Los Alamos, NM 87545, USAStudying compact-star binaries and their mergers is integral to determining progenitors for observable transients. Today, compact-star mergers are typically studied via state-of-the-art computational fluid dynamics codes. One such numerical technique, smoothed particle hydrodynamics (SPH), is frequently chosen for its excellent mass, energy, and momentum conservation. The natural treatment of vacuum and the ability to represent highly irregular morphologies make SPH an excellent tool for the study of compact-star binaries and mergers. For many scenarios, including binary systems, the outcome of simulations is only as accurate as the initial conditions. For SPH, it is essential to ensure that the particles are distributed regularly, representing the initial density profile but without long-range correlations. Particle noise in the form of high-frequency local motion and low-frequency global dynamics must be damped out. Damping the latter can be as computationally intensive as the actual simulation. We discuss a new and straightforward relaxation method, halted-pendulum relaxation (HPR), to remove global oscillation modes of SPH particle configurations. In combination with effective external potentials representing gravitational and orbital forces, we show that HPR has an excellent performance in efficiently relaxing SPH particles to the desired density distribution and removing global oscillation modes. We compare the method to frequently used relaxation approaches and test it on a white dwarf binary model at its Roche-lobe overflow limit. We highlight the importance of our method in achieving accurate initial conditions and its effect on achieving circular orbits and realistic accretion rates when compared with other general relaxation methods.https://doi.org/10.3847/1538-4357/acd75aHydrodynamical simulationsAstronomical simulationsWhite dwarf starsCompact binary stars
spellingShingle M. Alexander R. Kaltenborn
Michael J. Falato
Oleg Korobkin
Irina Sagert
Wesley P. Even
Halted-pendulum Relaxation: Application to White Dwarf Binary Initial Data
The Astrophysical Journal
Hydrodynamical simulations
Astronomical simulations
White dwarf stars
Compact binary stars
title Halted-pendulum Relaxation: Application to White Dwarf Binary Initial Data
title_full Halted-pendulum Relaxation: Application to White Dwarf Binary Initial Data
title_fullStr Halted-pendulum Relaxation: Application to White Dwarf Binary Initial Data
title_full_unstemmed Halted-pendulum Relaxation: Application to White Dwarf Binary Initial Data
title_short Halted-pendulum Relaxation: Application to White Dwarf Binary Initial Data
title_sort halted pendulum relaxation application to white dwarf binary initial data
topic Hydrodynamical simulations
Astronomical simulations
White dwarf stars
Compact binary stars
url https://doi.org/10.3847/1538-4357/acd75a
work_keys_str_mv AT malexanderrkaltenborn haltedpendulumrelaxationapplicationtowhitedwarfbinaryinitialdata
AT michaeljfalato haltedpendulumrelaxationapplicationtowhitedwarfbinaryinitialdata
AT olegkorobkin haltedpendulumrelaxationapplicationtowhitedwarfbinaryinitialdata
AT irinasagert haltedpendulumrelaxationapplicationtowhitedwarfbinaryinitialdata
AT wesleypeven haltedpendulumrelaxationapplicationtowhitedwarfbinaryinitialdata