Efficient solving method for unsteady incompressible interfacial flow problems

Unsteady interfacial problems, considered in an Eulerian form, are studied. The phenomena are modeled using the incompressible viscous Navier-Stokes e quations to get the velocity field and an advection equation to predict int erface evolutions. The momentum equation is solved by means of an implicit hybrid augmented Lagrangian-Projection method, whereas an explicit characte ristic method coupled with a TVD SUPERBEE scheme is applied to the advectio n equation. The velocity components and the pressure are discretized on sta ggered grids with finite volumes. Emphasis is on the accuracy and robustnes s of the techniques described before. A precise explanation on the validati on phase will be given, which uses such tests as the advection of a step fu nction or Zalesak's problem to improve the calculation of the interface. Th e global approach is used on a physically hard interfacial test with strong disparities between viscosities and densities. Copyright (C) 1999 John Wil ey & Sons, Ltd.