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• W1992502735 abstract "In this paper we report on what we believe is the first successful implementation of relativistic hydrodynamics, coupled to dynamical spacetimes, in spherical polar coordinates without symmetry assumptions. We employ a high-resolution shock-capturing scheme, which requires that the equations be cast in flux-conservative form. One example of such a form is the :Valencia formulation, which has been adopted in numerous applications, in particular in Cartesian coordinates. Here we generalize this formulation to allow for a reference-metric approach, which provides a natural framework for calculations in curvilinear coordinates. In spherical polar coordinates, for example, it allows for an analytical treatment of the singular r and sin(theta) terms that appear in the equations. We experiment with different versions of our generalized Valencia formulation in numerical implementations of relativistic hydrodynamics for both fixed and dynamical spacetimes. We consider a number of different tests -- non-rotating and rotating relativistic stars, as well as gravitational collapse to a black hole -- to demonstrate that our formulation provides a promising approach to performing fully relativistic astrophysics simulations in spherical polar coordinates." @default.
• W1992502735 created "2016-06-24" @default.
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• W1992502735 date "2014-04-09" @default.
• W1992502735 modified "2023-09-25" @default.
• W1992502735 title "General relativistic hydrodynamics in curvilinear coordinates" @default.
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• W1992502735 doi "https://doi.org/10.1103/physrevd.89.084043" @default.
• W1992502735 hasPublicationYear "2014" @default.
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