A 3D boundary integral method for the electrohydrodynamics of surfactant-covered drops

JOURNAL OF COMPUTATIONAL PHYSICS

卷:389

Article

Sorgentone, Chiara¹  Tornberg, Anna-Karin¹  Vlahovska, Petia M.² 

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

[2] Northwestern Univ, Engn Sci & Appl Math, Evanston, IL 60208 USA

关键词: Boundary integral method;    Spherical harmonics;    Stokes flow;    Surfactant;    Electric field;    Small deformation theory;   

DOI  :  10.1016/j.jcp.2019.03.041

来源: Elsevier

【 摘 要 】

We present a highly accurate numerical method based on a boundary integral formulation and the leaky dielectric model to study the dynamics of surfactant-covered drops in the presence of an applied electric field. The method can simulate interacting 3D drops (no axisymmetric simplification) in close proximity, can consider different viscosities, is adaptive in time and able to handle substantial drop deformation. For each drop global representations of the variables based on spherical harmonics expansions are used and the spectral accuracy is achieved by designing specific numerical tools: a specialized quadrature method for the singular and nearly singular integrals that appear in the formulation, a general preconditioner for the implicit treatment of the surfactant diffusion and a reparametrization procedure able to ensure a high-quality representation of the drops also under deformation. Our numerical method is validated against theoretical, numerical and experimental results available in the literature, as well as a new second-order theory developed for a surfactant-laden drop placed in a quadrupole electric field. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free