Numerical Methods for Modeling Binary Neutron Star Systems
  We present initial results of our study of numerical methods for modeling neutron star mergers (NSMs) with simulations that perform the full hydrodynamic evolution required to capture tidal effects, particularly in the last several orbits. Our simulations evolve the Euler equations using a modification of the ZEUS-2D algorithm (Stone and Norman 1992). We describe some of the difficulties of modeling NSMs and our approaches to these difficulties, and we discuss the motivation for the choice of performing simulations in a co-rotating reference frame. Our results establish what effects the choices of gravity coupling and reference frame have on the numerical accuracy of the simulation. 
Alan C. Calder, F. Douglas Swesty, and Edward Y. M. Wang