Accurate numerical simulation of interface phenomena in two phase flow

Surface phenomena and hydrodynamic interactions, occuring at the liquid-liquid interfaces, are numerically investigated using an advanced modeling approach, based on Eulearian representation of the flow field coupled with an explicit interface tracking method, named the Level Set Method, which accurately follows the interfacial evolution in time. A high-order numerical scheme, called CIP (Cubic-lnterpolated-Pseudoparticle), is employed to solve the Navier-Stokes and the level set equations with high accuracy. The surface tension force is modeled and included as a source term in the momentum equations. The modeling approach was applied to study some important practical problems, such as the development of the Kelvin-Helmholtz instability at an interface and the deformation and fragmentation of high-density jet/drops in a flow field. Sensitivity analysis was also performed, which helped to identify factors, important in governing the interfacial interactions and their effects.