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  Discontinuous Galerkin methods for general-relativistic hydrodynamics: formulation and application to spherically symmetric spacetimes

Radice, D., & Rezzolla, L. (2011). Discontinuous Galerkin methods for general-relativistic hydrodynamics: formulation and application to spherically symmetric spacetimes. Physical Review D, 84(2): 024010. doi:10.1103/PhysRevD.84.024010.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-06F3-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-06F4-5
Genre: Journal Article

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 Creators:
Radice, David, Author
Rezzolla, Luciano1, Author              
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE
 Abstract: We have developed the formalism necessary to employ the discontinuous-Galerkin approach in general-relativistic hydrodynamics. The formalism is firstly presented in a general 4-dimensional setting and then specialized to the case of spherical symmetry within a 3+1 splitting of spacetime. As a direct application, we have constructed a one-dimensional code, EDGES, which has been used to asses the viability of these methods via a series of tests involving highly relativistic flows in strong gravity. Our results show that discontinuous Galerkin methods are able not only to handle strong relativistic shock waves but, at the same time, to attain very high orders of accuracy and exponential convergence rates in smooth regions of the flow. Given these promising prospects and their affinity with a pseudospectral solution of the Einstein equations, discontinuous Galerkin methods could represent a new paradigm for the accurate numerical modelling in relativistic astrophysics.

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 Dates: 2011-03-122011-06-142011
 Publication Status: Published in print
 Pages: 24 pages, 19 figures. Small changes; matches version to appear in PRD
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1103.2426
DOI: 10.1103/PhysRevD.84.024010
URI: http://arxiv.org/abs/1103.2426
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 84 (2) Sequence Number: 024010 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258