Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow

Document Type

Article

Publication Date

6-1-2019

Abstract

Performing highly accurate simulations of droplet systems is a challenging problem. This is primarily due to the interface dynamics which is complicated further by the addition of surfactants. This paper presents a boundary integral method for computing the evolution of surfactant-covered droplets in 2D Stokes flow. The method has spectral accuracy in space and the adaptive time-stepping scheme allows for control of the temporal errors. Previously available semi-analytical solutions (based on conformal-mapping techniques) are extended to include surfactants, and a set of algorithms is introduced to detail their evaluation. These semi-analytical solutions are used to validate and assess the accuracy of the boundary integral method, and it is demonstrated that the presented method maintains its high accuracy even when droplets are in close proximity.

Identifier

85062883114 (Scopus)

Publication Title

Journal of Computational Physics

External Full Text Location

https://doi.org/10.1016/j.jcp.2018.12.044

e-ISSN

10902716

ISSN

00219991

First Page

218

Last Page

247

Volume

386

Grant

2014-0338

Fund Ref

Knut och Alice Wallenbergs Stiftelse

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