A Phase Field Approach to Compressible Droplet Impingement

TL;DR

This paper introduces a phase field model for simulating high-speed droplet impact on walls, incorporating compressible Navier-Stokes equations and dynamic contact angles, validated through numerical simulations.

Contribution

It develops a thermodynamically consistent diffuse-interface model with boundary conditions for dynamic contact angles in droplet impingement.

Findings

The model accurately captures energy dissipation.

Numerical simulations demonstrate the approach's effectiveness.

Boundary conditions for dynamic contact angles are successfully implemented.

Abstract

We consider the impingement of a droplet onto a wall with high impact speed. To model this process we favour a diffuse-interface concept. Precisely, we suggest a compressible Navier--Stokes--Allen--Cahn model. Basic properties of the model are discussed. To cope with the fluid-wall interaction, we derive thermodynamically consistent boundary conditions that account for dynamic contact angles. We briefly discuss an discontinuous Galerkin scheme which approximates the energy dissipation of the system exactly and illustrate the results with a series of numerical simulations. Currently, these simulations are restricted to static contact angle boundary conditions.