Numerical simulations of inviscid capillary pinchoff
Inviscid capillary pinchoff is studied numerically, for an axisymmetric model problem in which a bubble pinches at two points on the symmetry plane, breaking into two symmetric end-bubbles and a satellite bubble in between. Results are presented for a range of density jumps across the bubble. The numerical method uses a formulation in terms of arclength and tangent angle, and incorporates a new procedure to redistribute the computational points dynamically, in order to maintain resolution in regions of high curvature. The results are compared with alternative computations by Lepinnen and Lister [Phys. Fluids 15 (2003) 568], where available. New results include details about the conecrater structure near pinchoff, and the dependence of satellite bubble volume and pinchoff time on the density ratio.
inviscid capillary pinchoff surface tension axisymmetric vortex sheet interfacial flows