Student Posters Repository

The direct numerical simulations (DNS) of turbulent interfacial flows involving immiscible fluids presents several challenges, particularly for flows with high density-ratios (e.g. air-water) amounting to the transport of a spatial discontinuity of considerable magnitude (proportional to the contrast in the densities and viscosities of the two fluids), where small errors made in the estimation and transport of momentum in the lighter phase can lead to catastrophic results due to complex non-linear interactions of the interface with the advection operator itself, or through a coupling with surface tension, viscosity and other body forces. In this study, we demonstrate the utility of conservative formulations of the Navier-Stokes equations which enable us to render the discrete momentum transport consistent with discrete mass transport, therefore allowing us to alleviate issues related to the loss of stability of numerical methods, which mainly stem from adapting techniques developed for single-phase flows.