The Santa Barbara Cluster Comparison Project: A Comparison of Cosmological Hydrodynamics Solutions

We have simulated the formation of an X-ray cluster in a cold dark matter universe using 12 different codes. The codes span the range of numerical techniques and implementations currently in use, including smoothed particle hydrodynamics (SPH) and grid methods with fixed, deformable, or multilevel meshes. The goal of this comparison is to assess the reliability of cosmological gasdynamical simulations of clusters in the simplest astrophysically relevant case, that in which the gas is assumed to be nonradiative. We compare images of the cluster at different epochs, global properties such as mass, temperature and X-ray luminosity, and radial profiles of various dynamical and thermodynamical quantities. On the whole, the agreement among the various simulations is gratifying, although a number of discrepancies exist. Agreement is best for properties of the dark matter and worst for the total X-ray luminosity. Even in this case, simulations that adequately resolve the core radius of the gas distribution predict total X-ray luminosities that agree to within a factor of 2. Other quantities are reproduced to much higher accuracy. For example, the temperature and gas mass fraction within the virial radius agree to within about 10%, and the ratio of specific dark matter kinetic to gas thermal energies agree to within about 5%. Various factors, including differences in the internal timing of the simulations, contribute to the spread in calculated cluster properties. Based on the overall consistency of results, we discuss a number of general properties of the cluster we have modeled.

[1]  E. Ribak,et al.  Constrained realizations of Gaussian fields : a simple algorithm , 1991 .

[2]  F. Pearce,et al.  Hydra: An Adaptive--Mesh Implementation of PPPM--SPH , 1994, astro-ph/9409058.

[3]  J. W. Eastwood,et al.  On the clustering of particles in an expanding Universe , 1981 .

[4]  Michael L. Norman,et al.  X-ray clusters from a high-resolution hydrodynamic PPM simulation of the cold dark matter universe , 1994 .

[5]  H.M.P. Couchman,et al.  Hydra: a parallel adaptive grid code , 1997 .

[6]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[7]  A. Evrard Formation and Evolution of X-Ray Clusters: A Hydrodynamic Simulation of the Intracluster Medium , 1990 .

[8]  Ue-Li Pen,et al.  A High-Resolution Adaptive Moving Mesh Hydrodynamic Algorithm , 1997, astro-ph/9704258.

[9]  Michael S. Warren,et al.  A portable parallel particle program , 1995 .

[10]  S. White,et al.  Simulations of dissipative galaxy formation in hierarchically clustering universes – II. Dynamics of the baryonic component in galactic haloes , 1994 .

[11]  Jeremiah P. Ostriker,et al.  A piecewise parabolic method for cosmological hydrodynamics , 1995 .

[12]  J. Mohr,et al.  An X-Ray Size-Temperature Relation for Galaxy Clusters: Observation and Simulation , 1997, astro-ph/9707184.

[13]  Jeremiah P. Ostriker,et al.  The universe in a box : thermal effects in the standard cold dark matter scenario , 1990 .

[14]  A. Szalay,et al.  The statistics of peaks of Gaussian random fields , 1986 .

[15]  Building a Cosmological Hydrodynamic Code: Consistency Condition, Moving Mesh Gravity, and SLH-P 3M , 1996, astro-ph/9602063.

[16]  Jeremiah P. Ostriker,et al.  A Cosmological Hydrodynamic Code Based on the Total Variation Diminishing Scheme , 1993 .

[17]  A. Evrard Beyond N-body: 3D cosmological gas dynamics , 1988 .

[18]  S. White,et al.  A Universal Density Profile from Hierarchical Clustering , 1996, astro-ph/9611107.

[19]  A. Evrard,et al.  The baryon content of galaxy clusters: a challenge to cosmological orthodoxy , 1993, Nature.

[20]  J. Owen,et al.  Adaptive Smoothed Particle Hydrodynamics: Methodology. II. , 1995, astro-ph/9512078.

[21]  P. Coles,et al.  Mapping, measuring, and modelling the universe , 1996 .

[22]  J. Bond,et al.  COBE Background radiation anisotropies and large scale structure in the universe , 1992 .

[23]  Nickolay Y. Gnedin,et al.  Softened Lagrangian Hydrodynamics for Cosmology , 1995 .

[24]  X-ray clusters in a cold dark matter + lambda universe: A direct, large-scale, high-resolution, hydrodynamic simulation , 1994, astro-ph/9404012.

[25]  Diego Sáez,et al.  New Insights into the Universe , 1992 .

[26]  D. Balsara von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms , 1995 .

[27]  Elaine S. Oran,et al.  Numerical Simulation of Reactive Flow , 1987 .

[28]  Matthias Steinmetz,et al.  A Comparison of X-ray and Strong Lensing Properties of Simulated X-ray Clusters , 1996 .

[29]  P. Colella,et al.  Local adaptive mesh refinement for shock hydrodynamics , 1989 .

[30]  L. Lucy A numerical approach to the testing of the fission hypothesis. , 1977 .

[31]  M. Steinmetz Grapesph: cosmological smoothed particle hydrodynamics simulations with the special-purpose hardware GRAPE , 1995, astro-ph/9504050.

[32]  J. Silk,et al.  Cosmology and large scale structure , 1996 .

[33]  E. Bertschinger Self-similar secondary infall and accretion in an Einstein-de Sitter universe , 1985 .

[34]  J. Boris,et al.  Flux-corrected transport. III. Minimal-error FCT algorithms , 1976 .

[35]  J. Michael Owen,et al.  Adaptive smoothed particle hydrodynamics, with application to cosmology: Methodology , 1996 .

[36]  J. Bond,et al.  The Peak-Patch Picture of Cosmic Catalogs. I. Algorithms , 1996 .

[37]  M. Norman,et al.  Hierarchical Numerical Cosmology with Hydrodynamics: Resolving X-Ray Clusters , 1996 .

[38]  Toshikazu Ebisuzaki,et al.  A special-purpose computer for gravitational many-body problems , 1990, Nature.

[39]  U. Pen A Linear Moving Adaptive Particle-Mesh N-Body Algorithm , 1995 .

[40]  Michael S. Warren,et al.  A parallel hashed oct-tree N-body algorithm , 1993, Supercomputing '93. Proceedings.

[41]  S. White,et al.  Simulations of X-ray clusters , 1994, astro-ph/9408069.

[42]  A. Evrard,et al.  A comparison of cosmological hydrodynamic codes , 1994, astro-ph/9404014.

[43]  R. Cen A hydrodynamic approach to cosmology - Methodology , 1992 .

[44]  Jay P. Boris,et al.  Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works , 1973 .

[45]  R. Cen,et al.  Hot gas in the cold dark matter scenario: X-ray clusters from a high-resolution numerical simulation , 1994, astro-ph/9404013.