Abstract
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.
This work was supported by the Dutch Polymer Institute, grant #161.
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© 2004 Springer-Verlag Berlin Heidelberg
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Bazhlekov, I.B., Anderson, P.D., Meijer, H.E.H. (2004). Boundary Integral Method for Deformable Interfaces in the Presence of Insoluble Surfactants. In: Lirkov, I., Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2003. Lecture Notes in Computer Science, vol 2907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24588-9_40
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DOI: https://doi.org/10.1007/978-3-540-24588-9_40
Publisher Name: Springer, Berlin, Heidelberg
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