Computations of multiphase fluid flows using marker-based adaptive, multilevel cartesian grid method

Addressing the dynamics of multiphase fronts is crucial for successful practices of many engineering applications that involve both gas and liquid constituents. Numerical simulations of such flows need to resolve the location and the shape of the front, where interfacial conditions are satisfied as part of the solution. In this work, immersed boundary method on adaptively refined Cartesian grid is utilized to capture the dynamics of the multiphase front. Marker based interface representation is extended to handle the complex solid geometries that exist in the flow field. The entire computational algorithm is applied to simulate steady state and time dependent liquid plug problem and assessed against existing theoretical analyses. It is then used to simulate time dependent draining flow problems, motivated by spacecraft fuel tank operations where experimental guidance is available. Distinct interfacial characteristics and fluid physics associated with different flow regimes are highlighted