Simulating sessile fluid droplets in fluid-fluid interfaces or on deformable solid surfaces

Abstract

In this thesis we describe a method of numerically computing the shape of a two-dimensional droplet of fluid, either suspended in a fluid-fluid interface or resting upon a deformable solid surface. This is done by minimizing the relevant free energies of the system, taking into account surface energy, gravitational energy and elastic energy. Given are expressions for the separate contributions to this free energy and their discretized counterparts. A brief description of the algorithm used is also given.