A hybrid interface tracking - level set technique for multiphase flow with soluble surfactant

JOURNAL OF COMPUTATIONAL PHYSICS

卷:359

Article

Shin, Seungwon¹  Chergui, Jalel²  Juric, Damir²  Kahouadji, Lyes³  Matar, Omar K.³  Craster, Richard V.⁴ 

[1] Hongik Univ, Dept Mech & Syst Design Engn, Sangsu Dong 72-1, Seoul 121791, South Korea

[2] CNRS, UPR 3251, LIMSI, Bat 508,Rue John Von Neumann,Campus Univ Orsay, F-91405 Orsay, France

[3] Imperial Coll London, Dept Chem Engn, South Kensington Campus, London SW7 2AZ, England

[4] Imperial Coll London, Dept Math, South Kensington Campus, London SW7 2AZ, England

关键词: Multiphase flow;    Numerical simulation;    Front-tracking method;    Soluble surfactant;   

DOI  :  10.1016/j.jcp.2018.01.010

来源: Elsevier

【 摘 要 】

A formulation for soluble surfactant transport in multiphase flows recently presented by Muradoglu and Tryggvason (JCP 274 (2014) 737-757) [17] is adapted to the context of the Level Contour Reconstruction Method, LCRM, (Shin et al. IJNMF 60 (2009) 753-778,[ 8]) which is a hybrid method that combines the advantages of the Front-tracking and Level Set methods. Particularly close attention is paid to the formulation and numerical implementation of the surface gradients of surfactant concentration and surface tension. Various benchmark tests are performed to demonstrate the accuracy of different elements of the algorithm. To verify surfactant mass conservation, values for surfactant diffusion along the interface are compared with the exact solution for the problem of uniform expansion of a sphere. The numerical implementation of the discontinuous boundary condition for the source term in the bulk concentration is compared with the approximate solution. Surface tension forces are tested for Marangoni drop translation. Our numerical results for drop deformation in simple shear are compared with experiments and results from previous simulations. All benchmarking tests compare well with existing data thus providing confidence that the adapted LCRM formulation for surfactant advection and diffusion is accurate and effective in three-dimensional multiphase flows with a structured mesh. We also demonstrate that this approach applies easily to massively parallel simulations. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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