A diffuse-interface method for two-phase flows with soluble surfactants

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Teigen, Knut Erik²  Song, Peng¹  Lowengrub, John¹  Voigt, Axel³ 

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[2] Norwegian Univ Sci & Technol, Dept Energy & Proc Engn, NO-7491 Trondheim, Norway

[3] Tech Univ Dresden, Dept Math, D-01062 Dresden, Germany

关键词: Multiphase flows;    Interfacial dynamics;    Surfactant;    Soluble surfactant;    Surface phase;    Bulk phase;    Adsorption;    Desorption;    Complex geometry;    Diffuse interface;    Phase field;    Multigrid;    Adaptive grid;    Finite difference;   

DOI  :  10.1016/j.jcp.2010.09.020

来源: Elsevier

【 摘 要 】

A method is presented to solve two-phase problems involving soluble surfactants. The incompressible Navier-Stokes equations are solved along with equations for the bulk and interfacial surfactant concentrations. A nonlinear equation of state is used to relate the surface tension to the interfacial surfactant concentration. The method is based on the use of a diffuse interface, which allows a simple implementation using standard finite difference or finite element techniques. Here, finite difference methods on a block-structured adaptive grid are used, and the resulting equations are solved using a nonlinear multigrid method. Results are presented for a drop in shear flow in both 20 and 3D, and the effect of solubility is discussed. (c) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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