University of Surrey

Test tubes in the lab Research in the ATI Dance Research

A geometric diffuse-interface method for droplet spreading

Holm, Darryl D., Náraigh, Lennon Ó and Tronci, Cesare (2020) A geometric diffuse-interface method for droplet spreading Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476 (2233).

manuscript.pdf - Accepted version Manuscript

Download (675kB) | Preview


This paper exploits the theory of geometric gradient flows to introduce an alternative regularization of the thin-film equation valid in the case of large-scale droplet spreading—the geometric diffuse-interface method. The method possesses some advantages when compared with the existing models of droplet spreading, namely the slip model, the precursor film method and the diffuse-interface model. These advantages are discussed and a case is made for using the geometric diffuse-interface method for the purpose of numerical simulations. The mathematical solutions of the geometric diffuse interface method are explored via such numerical simulations for the simple and well-studied case of large-scale droplet spreading for a perfectly wetting fluid— we demonstrate that the new method reproduces Tanner’s Law of droplet spreading via a simple and robust computational method, at a low computational cost. We discuss potential avenues for extending the method beyond the simple case of perfectly wetting fluids.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Holm, Darryl D.
Náraigh, Lennon Ó
Date : 8 January 2020
Funders : EPSRC
DOI : 10.1098/rspa.2019.0222
OA Location :
Grant Title : ‘Variational principles for stochastic parametrizations in geophysical fluid dynamics’
Copyright Disclaimer : © 2020 The Author(s) Published by the Royal Society. All rights reserved.
Depositing User : Rebecca Cooper
Date Deposited : 20 Jan 2020 09:40
Last Modified : 20 Jan 2020 10:51

Actions (login required)

View Item View Item


Downloads per month over past year

Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800