Numerical Simulations of a Superwalking Droplet

Abstract: 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.