Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow

Sara Pålsson, Michael Siegel, Anna Karin Tornberg

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Performing highly accurate simulations of droplet systems is a challenging problem. This is primarily due to the interface dynamics which is complicated further by the addition of surfactants. This paper presents a boundary integral method for computing the evolution of surfactant-covered droplets in 2D Stokes flow. The method has spectral accuracy in space and the adaptive time-stepping scheme allows for control of the temporal errors. Previously available semi-analytical solutions (based on conformal-mapping techniques) are extended to include surfactants, and a set of algorithms is introduced to detail their evaluation. These semi-analytical solutions are used to validate and assess the accuracy of the boundary integral method, and it is demonstrated that the presented method maintains its high accuracy even when droplets are in close proximity.

Original languageEnglish (US)
Pages (from-to)218-247
Number of pages30
JournalJournal of Computational Physics
StatePublished - Jun 1 2019

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


  • Drop deformation
  • Insoluble surfactants
  • Integral equations
  • Special quadrature
  • Stokes flow
  • Two-phase flow
  • Validation


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