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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:386

Article

Palsson, Sara¹  Siegel, Michael²  Tornberg, Anna-Karin¹ 

[1] KTH Math, Linne Flow Ctr, S-10044 Stockholm, Sweden

[2] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA

关键词: Insoluble surfactants;    Stokes flow;    Validation;    Integral equations;    Two-phase flow;    Drop deformation;    Special quadrature;   

DOI  :  10.1016/j.jcp.2018.12.044

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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