  A new class of walking droplets, coined superwalkers, has been observed when
a bath of silicone oil is vibrated simultaneously at a given frequency and its
subharmonic tone with a relative phase difference between them~[1]. In this
paper, we present the details of the numerical implementation of a theoretical
model for superwalkers that was developed by Valani \emph{et al.}~[2]. The
numerical analysis presented here provides the foundation for future numerical
studies of superwalking droplets.
