Hydrodynamics in full general relativity with conservative adaptive mesh refinement

摘要: There is great interest in numerical relativity simulations involving matter due to the likelihood that binary compact objects neutron stars will be detected by gravitational wave observatories coming years, as well possibility object mergers could explain short-duration gamma-ray bursts. We present a code designed for of hydrodynamics coupled Einstein field equations targeted toward such applications. This has recently been used study eccentric black hole-neutron star binaries. evolve fluid conservatively using high-resolution shock-capturing methods, while are solved generalized-harmonic formulation with finite differences. In order resolve various scales may arise, we use adaptive mesh refinement (AMR) grid hierarchies based on truncation error estimates. A noteworthy feature this implementation flux correction algorithm Berger and Colella ensure conservative nature advection respected across AMR boundaries. tests compare performance different limiters calculation demonstrate utility corrections.