Left panel: conservation of angular momentum in our fiducial run with particle splitting. The dotted and dashed curves show the cumulative contribution of mass accretion and gravity, respectively, and the black solid line is the sum of the two. The red line shows the evolution of the angular momentum of the live binary. The inset shows the accretion (dotted line) and gravitational (dashed line) torques measured from our fixed binary orbit (green) and high-resolution (blue) run. Right panel: evolution of the binary semimajor axis with time in our fiducial (black line) and higher-resolution (blue line) run with particle splitting. The time is in units of the binary orbit period, i.e., P _b = 2π in code units.