Physics – Fluid Dynamics
Scientific paper
Sep 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phrvd..58f4010a&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 58, Issue 6, 15 September 1998, id. 064010
Physics
Fluid Dynamics
7
Numerical Relativity, Relativistic Fluid Dynamics, Hydrodynamics
Scientific paper
A numerical code, developed for cosmology and to investigate fully nonlinear behavior in the plane-symmetric Einstein equations, is described in detail. The field equations are solved self-consistently with the general relativistic hydrodynamical conservation equations, using artificial viscosity methods for shock capturing and an ideal fluid stress-energy tensor with a cosmological constant. Several tests of the code are presented, including anisotropically expanding vacuum and isotropically expanding de Sitter, dust-filled and radiation-filled cosmologies, gravitational waves in flat and anisotropically expanding background models, sub- and super-horizon scale density perturbations in an expanding FLRW background, and both Newtonian and relativistic shock tube evolutions. Also discussed is a gauge drift instability that can appear in near-geodesic evolutions of density perturbations when the dynamical time scale of collapse becomes smaller than the cosmological expansion rate.
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