Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow
arXiv:1806.10371 · doi:10.1016/j.jcp.2018.12.044
Abstract
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.
References in corpus (5)
- An Interface-Tracking Technique for Multiphase Flow with Soluble Surfactant
- A fast integral equation method for solid particles in viscous flow using quadrature by expansion
- A highly accurate boundary integral equation method for surfactant-laden drops in 3D
- Adaptive quadrature by expansion for layer potential evaluation in two dimensions
- Estimation of quadrature errors in layer potential evaluation using quadrature by expansion
Cited by in corpus (4)
- A Cut Finite Element Method for two-phase flows with insoluble surfactants
- Highly accurate special quadrature methods for Stokesian particle suspensions in confined geometries
- An integral equation method for closely interacting surfactant-covered droplets in wall-confined Stokes flow
- An integral equation method for the advection-diffusion equation on time-dependent domains in the plane