Published January 22, 2015
| Submitted
Journal Article
Open
Spectral characteristic evolution: a new algorithm for gravitational wave propagation
- Creators
- Handmer, Casey J.
- Szilágyi, Béla
Abstract
We present a spectral algorithm for solving the full nonlinear vacuum Einstein field equations in the Bondi framework. Developed within the Spectral Einstein Code, we demonstrate spectral characteristic evolution as a technical precursor to Cauchy characteristic extraction, a rigorous method for obtaining gauge-invariant gravitational waveforms from existing and future astrophysical simulations. We demonstrate the new algorithm's stability, convergence, and agreement with existing evolution methods. We explain how an innovative spectral approach enables a two orders of magnitude improvement in computational efficiency.
Additional Information
© 2015 IOP Publishing Ltd. Received 29 June 2014, revised 24 September 2014. Accepted for publication 22 October 2014. Published 16 December 2014. We thank Jeffrey Winicour for his invaluable insight and encyclopædic knowledge of all things extraction. We thank Nicholas Taylor for his generic spin BBH run we used to test and baseline code performance. We thank Mark Scheel, Yanbei Chen, and Christian Reisswig for their advice, support, and technical expertise. This research used the Spectral Einstein Code (SpEC) [6]. The Caltech cluster zwicky.cacr.caltech.edu is an essential resource for SpEC related research, supported by the Sherman Fairchild Foundation and by NSF award PHY-0960291. This research also used the Extreme Science and Engineering Discovery Environment (XSEDE) under grant TG-PHY990002. The UCSD cluster ccom-boom.ucsd.edu was used during code development. This project was supported by the Sherman Fairchild Foundation, and by NSF Grants PHY-1068881, AST-1333520, and CAREER Grant PHY-0956189.Attached Files
Submitted - 1406.7029v2.pdf
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1406.7029v2.pdf
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Additional details
- Eprint ID
- 54458
- Resolver ID
- CaltechAUTHORS:20150205-142811155
- Sherman Fairchild Foundation
- PHY-0960291
- NSF
- TG-PHY990002
- NSF
- PHY-1068881
- NSF
- AST-1333520
- NSF
- PHY-0956189
- NSF
- Created
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2015-02-05Created from EPrint's datestamp field
- Updated
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2022-07-12Created from EPrint's last_modified field