Mathematics – Logic
Scientific paper
Dec 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994aas...185.7409a&link_type=abstract
American Astronomical Society, 185th AAS Meeting, #74.09; Bulletin of the American Astronomical Society, Vol. 26, p.1428
Mathematics
Logic
Scientific paper
A two-level nested grid code is applied to resolve X-ray clusters in a standard critically closed cold dark matter dominated universe. The physical dimension of the larger periodically identified box is set to 50 Mpc as a compromise to providing both adequate sampling of long wavelength perturbations and sufficient small scale resolution. A refined grid with smaller cell dimensions is constructed within the larger cube to resolve a single rich cluster in greater detail as the larger scale structure evolves on the parent grid. We performed a sequence of runs at consistently higher resolution to test for the convergence of the various physical attributes of X-ray clusters, including the X-ray luminosity, the Sunyaev-Zel'dovich decrement and the beta -model parameters. Although we find some evidence of a convergence pattern in the cluster core radius, we are unable to converge on the integrated X-ray luminosity (a quantity that is especially sensitive to the baryonic density in the inner core of the cluster) even at the most refined subgrid resolution of 100 kpc, effectively a 512(3) grid covering the cluster proper. Averaged radial profiles of the density (gas and dark matter) and gas temperature are consistent with Bertschinger's (1985) self-similar solution at small radii (to the force softening length), which yields a divergent total luminosity function. We also investigate the reliability of reconstructing the numerical data based solely on the ``observed'' X-ray luminosities and the isothermal and hydrostatic equilibrium assumptions made in the standard beta -models. This work is carried out in a developing framework to explore the advantages and limitations of nested grid methods as applied to cosmological simulations.
Anninos Peter
Norman Michael L.
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