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We report on a new open-source, user-friendly numerical relativity codepackage called SENR/NRPy+. Our code extends previous implementations of theBSSN reference-metric formulation to a much broader class of curvilinearcoordinate systems, making it ideally-suited to modeling physicalconfigurations with approximate or exact symmetries. In the context of modelingblack hole dynamics, it is orders of magnitude more efficient than other widelyused open-source numerical relativity codes. NRPy+ provides a Python-basedinterface in which equations are written in natural tensorial form and outputat arbitrary finite difference order as highly efficient C code, puttingcomplex tensorial equations at the scientist's fingertips without the need foran expensive software license. SENR provides the algorithmic framework thatcombines the C codes generated by NRPy+ into a functioning numerical relativitycode. We validate against two other established, state-of-the-art codes, andachieve excellent agreement. For the first time we demonstrate--in the contextof puncture, trumpet, and dual black hole evolutions--nearly exponentialconvergence of constraint violation and gravitational waveform errors to zeroas the order of spatial finite difference derivatives is increased, whileholding the spherical-like coordinate grids fixed at moderate resolution. Suchbehavior outside the horizons is remarkable, as numerical errors do notconverge to zero inside horizons, and all points along the polar axis arecoordinate singularities. The formulation addresses such coordinatesingularities via cell-centered grids and a simple change of basis thatanalytically regularizes tensor components with respect to the coordinates.Future plans include extending this formulation to allow dynamical coordinategrids and bispherical-like distribution of points to efficiently captureorbiting compact binary dynamics.

SENR/NRPy+: Numerical Relativity in Singular Curvilinear Coordinate Systems