Computation of Extensional Fall of Slender Viscous Drops by a One-Dimensional Eulerian Method

We develop a one-dimensional Eulerian model suitable for analysing the behaviour of viscous fluid drops falling from rest from an upper boundary. The method allows examination of development and behaviour from early time, when a drop and filament begin to form, out to large times when the bulk of the fluid forms a drop at the bottom of a long thin filament which connects it with the upper boundary. This model overcomes problems seen in Lagrangian models, caused by excessive stretching of grid elements, and enables a better examination of the thin fluid filament.