Published September 5, 2024 | Version Published
Journal Article Open

Numerical relativity multimodal waveforms using absorbing boundary conditions

  • 1. ROR icon Washington State University
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon University of Vienna
  • 4. ROR icon University of California, Irvine

Abstract

Errors due to imperfect boundary conditions in numerical relativity simulations of binary black holes (BBHs) can produce unphysical reflections of gravitational waves which compromise the accuracy of waveform predictions, especially for subdominant modes. A system of higher order absorbing boundary conditions which greatly reduces this problem was introduced in earlier work (Buchman and Sarbach 2006 Class. Quantum Grav. 23 6709). In this paper, we devise two new implementations of this boundary condition system in the Spectral Einstein Code (SpEC), and test them in both linear multipolar gravitational wave and inspiralling mass ratio 7:1 BBH simulations. One of our implementations in particular is shown to be extremely robust and to produce accuracy superior to the standard freezing-Ψ0 boundary condition usually used by SpEC.

Copyright and License

© 2024 The Author(s). Published by IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Acknowledgement

It is a pleasure to thank Olivier Sarbach for providing comments on the paper prior to publication, for many consultations, and for hosting L T B at the 2019 BIRS-CMO workshop in Oaxaca, Mexico. Additionally, we thank Joey Key for her support at UW Bothell, and Dante Iozzo, Stephen Lau, and Oscar Reula for their insights and suggestions. Finally, we thank Michael Boyle for the use of his scri python code. L T B dedicates this paper to the memory of James M Bardeen, mentor and friend.

M D gratefully acknowledges support from the NSF through Grant PHY-2110287 and from NASA through Grant 80NSSC22K0719. M M gratefully acknowledges support from the NSF through Grant AST-2219109 and to the DOE through a Computational Science Graduate Fellowship. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research under Award Number DE-SC0024386. M S gratefully acknowledges support from the Sherman Fairchild Foundation and from NSF Grants PHY-2309211, PHY-2309231, and OAC-2209656. T M K and A E were supported by NSF Physics REU Award 2050928 and T M K was also supported by NSF CAREER Award 1944412. K M was supported by the Sherman Fairchild Foundation and NSF Grant Nos. PHY-2011968, PHY-2011961, PHY-2309211, PHY-2309231, and OAC-2209656 at Caltech.

This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.

Funding

M D gratefully acknowledges support from the NSF through Grant PHY-2110287 and from NASA through Grant 80NSSC22K0719. M M gratefully acknowledges support from the NSF through Grant AST-2219109 and to the DOE through a Computational Science Graduate Fellowship. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research under Award Number DE-SC0024386. M S gratefully acknowledges support from the Sherman Fairchild Foundation and from NSF Grants PHY-2309211, PHY-2309231, and OAC-2209656. T M K and A E were supported by NSF Physics REU Award 2050928 and T M K was also supported by NSF CAREER Award 1944412. K M was supported by the Sherman Fairchild Foundation and NSF Grant Nos. PHY-2011968, PHY-2011961, PHY-2309211, PHY-2309231, and OAC-2209656 at Caltech.

Data Availability

The data cannot be made publicly available upon publication because the cost of preparing, depositing and hosting the data would be prohibitive within the terms of this research project. The data that support the findings of this study are available upon reasonable request from the authors.

Files

Buchman_2024_Class._Quantum_Grav._41_175011.pdf

Files (4.9 MB)

Additional details

Related works

Is new version of
Discussion Paper: arXiv:2402.12544 (arXiv)

Funding

National Science Foundation
PHY-2110287
National Aeronautics and Space Administration
80NSSC22K0719
National Science Foundation
AST-2219109
United States Department of Energy
DE-SC0024386
Sherman Fairchild Foundation
National Science Foundation
PHY-2309211
National Science Foundation
PHY-2309231
National Science Foundation
OAC-2209656
National Science Foundation
2050928
National Science Foundation
1944412
National Science Foundation
PHY-2011968
National Science Foundation
PHY-2011961
National Science Foundation
PHY-2309211
National Science Foundation
PHY-2309231
National Science Foundation
OAC-2209656

Dates

Submitted
2024-02-19
Accepted
2024-07-19
Available
2024-08-02
Published online

Caltech Custom Metadata

Caltech groups
TAPIR, Walter Burke Institute for Theoretical Physics, Division of Physics, Mathematics and Astronomy (PMA)
Publication Status
Published