Numerical relativity in spherical coordinates: A new dynamical spacetime and general relativistic MHD evolution framework for the Einstein Toolkit
Abstract
We present SphericalNR, a new framework for the publicly available Einstein Toolkit that numerically solves the Einstein field equations coupled to the equations of general relativistic magnetohydrodynamic (GRMHD) in a 3+1 split of spacetime in spherical coordinates without symmetry assumptions. The spacetime evolution is performed using reference-metric versions of either the Baumgarte-Shapiro-Shibata-Nakamura equations or the fully covariant and conformal Z4 system with constraint damping. We have developed a reference-metric version of the Valencia formulation of GRMHD with a vector potential method, guaranteeing the absence of magnetic monopoles during the evolution. In our framework, every dynamical field (both spacetime and matter) is evolved using its components in an orthonormal basis with respect to the spherical reference metric. Furthermore, all geometric information about the spherical coordinate system is encoded in source terms appearing in the evolution equations. This allows for the straightforward extension of Cartesian high-resolution shock-capturing finite volume codes to use spherical coordinates with our framework. To this end, we have adapted GRHydro, a Cartesian finite volume GRMHD code already available in the Einstein Toolkit, to use spherical coordinates. We present the full evolution equations of the framework, as well as details of its implementation in the Einstein Toolkit. Finally, wemore »
- Authors:
-
[1];
[2];
[2];
[3];
[4];
[5];
[6]
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Rochester Inst. of Technology, NY (United States)
- Rochester Inst. of Technology, NY (United States)
- Bowdoin College, Brunswick, ME (United States)
- West Virginia Univ., Morgantown, WV (United States)
- Rochester Inst. of Technology, NY (United States); Inst. Argentino de Radioastronomía (IAR), Buenos Aires (Argentina)
- Istituto Nazionale di Fisica Nucleare (INFN), Trento (Italy). Trento Inst. for Fundamental Physics and Applications (TIFPA); Univ. di Trento (Italy); Rochester Inst. of Technology, NY (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); National Aeronautics and Space Administration (NASA); Simons Foundation; USDOE Office of Science (SC); Ministry of Economic Affairs and Digital Transformation of Spain (MINECO)
- OSTI Identifier:
- 1617789
- Grant/Contract Number:
- AC05-00OR22725; OAC-1550436; AST-1516150; PHY-1607520; PHY-1305730; PHY-1707946; PHY-1726215; PHY-1707526; OIA-1458952; PHY-1806596; ISFM-80NSSC18K0538; TCAN-80NSSC18K1488; 561147; AYA2015-66899-C2-1-P; ACI-1548562; AST-1028087; PHY-0722703; PHY- 1229173
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 10; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Mewes, Vassilios, Zlochower, Yosef, Campanelli, Manuela, Baumgarte, Thomas W., Etienne, Zachariah B., Armengol, Federico G. Lopez, and Cipolletta, Federico. Numerical relativity in spherical coordinates: A new dynamical spacetime and general relativistic MHD evolution framework for the Einstein Toolkit. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.104007.
Mewes, Vassilios, Zlochower, Yosef, Campanelli, Manuela, Baumgarte, Thomas W., Etienne, Zachariah B., Armengol, Federico G. Lopez, & Cipolletta, Federico. Numerical relativity in spherical coordinates: A new dynamical spacetime and general relativistic MHD evolution framework for the Einstein Toolkit. United States. https://doi.org/10.1103/PhysRevD.101.104007
Mewes, Vassilios, Zlochower, Yosef, Campanelli, Manuela, Baumgarte, Thomas W., Etienne, Zachariah B., Armengol, Federico G. Lopez, and Cipolletta, Federico. Tue .
"Numerical relativity in spherical coordinates: A new dynamical spacetime and general relativistic MHD evolution framework for the Einstein Toolkit". United States. https://doi.org/10.1103/PhysRevD.101.104007. https://www.osti.gov/servlets/purl/1617789.
@article{osti_1617789,
title = {Numerical relativity in spherical coordinates: A new dynamical spacetime and general relativistic MHD evolution framework for the Einstein Toolkit},
author = {Mewes, Vassilios and Zlochower, Yosef and Campanelli, Manuela and Baumgarte, Thomas W. and Etienne, Zachariah B. and Armengol, Federico G. Lopez and Cipolletta, Federico},
abstractNote = {We present SphericalNR, a new framework for the publicly available Einstein Toolkit that numerically solves the Einstein field equations coupled to the equations of general relativistic magnetohydrodynamic (GRMHD) in a 3+1 split of spacetime in spherical coordinates without symmetry assumptions. The spacetime evolution is performed using reference-metric versions of either the Baumgarte-Shapiro-Shibata-Nakamura equations or the fully covariant and conformal Z4 system with constraint damping. We have developed a reference-metric version of the Valencia formulation of GRMHD with a vector potential method, guaranteeing the absence of magnetic monopoles during the evolution. In our framework, every dynamical field (both spacetime and matter) is evolved using its components in an orthonormal basis with respect to the spherical reference metric. Furthermore, all geometric information about the spherical coordinate system is encoded in source terms appearing in the evolution equations. This allows for the straightforward extension of Cartesian high-resolution shock-capturing finite volume codes to use spherical coordinates with our framework. To this end, we have adapted GRHydro, a Cartesian finite volume GRMHD code already available in the Einstein Toolkit, to use spherical coordinates. We present the full evolution equations of the framework, as well as details of its implementation in the Einstein Toolkit. Finally, we validate SphericalNR by demonstrating it passes a variety of challenging code tests in static and dynamical spacetimes.},
doi = {10.1103/PhysRevD.101.104007},
journal = {Physical Review D},
number = 10,
volume = 101,
place = {United States},
year = {Tue May 05 00:00:00 EDT 2020},
month = {Tue May 05 00:00:00 EDT 2020}
}
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