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Given the compact binary evolution problem of numerical relativity, in the finite-difference, block-based, adaptive mesh refinement context, choices must be made on how evolved fields are to be discretized. In -thena++, the space-time solver was previously fixed to be vertex centered. Here, our recent extensions to a cell-centered treatment are described. Simplifications in the handling of variables during the treatment of general relativistic magneto-hydrodynamical (GRMHD) evolution are found. A novelty is that performance comparison for the two choices of grid sampling is made within a single code base. In the case of a binary black hole inspiral-merger problem, by evolving geometric fields on vertex centers, an average ∼ 20 % speed increase is observed, when compared against cell-centered sampling. The opposite occurs in the GRMHD setting. A binary neutron star inspiral-merger-collapse problem, representative of typical production simulations, is considered. We find that cell-centered sampling for the space-time solver improves performance, by a similar factor.
Daszuta et al. (Sat,) studied this question.