Xiaofeng Yang, James J. Feng, Chun Liu & Jie Shen
J. Comput. Phys. 218, 417-428 (2006).
Abstract - We study the retraction and
pinch-off of a liquid filament and the formation of drops by using an
energetic variational phase field model, which describes the motion of
mixtures of two incompressible fluids. An efficient and accurate
numerical scheme is presented and implemented for the coupled nonlinear
systems of Navier-Stokes type linear momentum equations and volume
preserving Allen-Cahn type phase equations. Detailed numerical
simulations for a Newtonian fluid filament falling into another ambient
Newtonian fluid are carried out. The dynamical scaling behavior and the
pinch-off behavior, as well as the formation of the consequent
satellite droplets are investigated.