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

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Title: A hybrid interface tracking – level set technique for multiphase flow with soluble surfactant
Authors: Seungwon, S
Chergui, J
Juric, D
Kahouadji, L
Matar, OK
Craster, R
Item Type: Journal Article
Abstract: A formulation for soluble surfactant transport in multiphase flows recently presented by Muradoglu & Tryggvason (JCP 274 (2014) 737–757) is adapted to the context of the Level Contour Reconstruction Method, LCRM, (Shin et al. IJNMF 60 (2009) 753–778) 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.
Issue Date: 11-Jan-2018
Date of Acceptance: 7-Jan-2018
ISSN: 0021-9991
Publisher: Elsevier
Journal / Book Title: Journal of Computational Physics
Volume: 359
Copyright Statement: © 2018, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/K003976/1
Keywords: 01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Applied Mathematics
Publication Status: Published online
Appears in Collections:Faculty of Engineering
Chemical Engineering
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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