The global embedded interface formulation for interfacial mass transfer within a volume tracking framework

Interfacial flow with mass transfer is particularly challenging to compute because the position of the interface between the fluids and the interface physics needs to be predicted as part of the solution of the flow equations. In addition, the discontinuity in fluid density, viscosity and species concentration at the interface present additional numerical challenges. In this work, we extend our balanced-force volume-tracking algorithm for modeling interfacial flow with surface tension force [10] to include mass transfer. We propose a global embedded interface formulation to model the interfacial conditions of the species concentration at an interface in thermodynamic equilibrium. To verify our formulation, we perform simulations of a pure diffusion problem with species concentration discontinuity at the interface. Then we present two and three-dimensional simulations of droplets rising by buoyancy with mass transfer.