Boundary integral method for deformable interfaces in the presence of insoluble surfactants

I.B. Bajlekov, P.D. Anderson, H.E.H. Meijer

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14 Citations (Scopus)
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A 3D boundary-integral/finite-volume method is presented for the simulation of drop dynamics in viscous flows in the presence of insoluble surfactants. The concentration of surfactant on the interfaces is governed by a convection-diffusion equation, which takes into account an extra tangential velocity. The spatial derivatives are discretized by a finite-volume method with second-order accuracy on an unstructured triangular mesh. Either an Euler explicit or Crank-Nicolson scheme is used for time integration. The convection-diffusion and Stokes equations are coupled via the interfacial velocity and the gradient in surfactant concentration. The coupled velocity - surfactant concentration system is solved in a semi-implicit fashion. Tests and comparisons with an analytical solution, as well as with simulations in the 2D axisymmetric case, are shown.
Original languageEnglish
Title of host publicationProceedings of the 4th International Conference on Large-scale scientific computing (LSSC 2004), 4-8 June 2003, Sozopol, Bulgaria
EditorsI. Lirkov, S.D. Margenov, J Wasniewski
Place of PublicationBerlin
ISBN (Print)3-540-21090-3
Publication statusPublished - 2004

Publication series

NameLecture Notes in Computer Science
ISSN (Print)0302-9743


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