Numerical Simulations of a Superwalking Droplet

TL;DR

This paper details a numerical implementation of a theoretical model for superwalking droplets, a new class of walking droplets observed in vibrated silicone oil, laying groundwork for future computational studies.

Contribution

It introduces a numerical approach to simulate superwalkers, advancing understanding of their dynamics beyond previous experimental observations.

Findings

Numerical model successfully reproduces superwalker behavior.

Provides a foundation for future simulations of superwalking droplets.

Enhances understanding of superwalker dynamics through computational methods.

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.