An improved sharp interface method for viscoelastic and viscous two-phase flows

We introduce a robust method for computing viscous and viscoelastic two-phase bubble and drop motions. Our method utilizes a coupled level-set and volume-of-fluid technique for updating and representing the air-water interface. Our method introduces a novel approach for treating the viscous coupling terms at the air-water interface; these improvements result in improved stability for computing two-phase bubble formation solutions. We also present an improved, positive-preserving discretization technique for updating the configuration tensor for viscoelastic flows, in the context of computing two-phase bubble and drop motion.