A new three-dimensional boundary integral algorithm is presented that
is capable of simulating the process of drop breakup in viscous flows.
The surface discretization is fully adaptive, thus providing accurate
resolution of the highly deformed drop shapes that are characteristic
of breakup events. Our algorithm is used to study drop breakup in she
ar flow and in buoyancy; the predictions are compared with experimenta
l observations. (C) 1998 American Institute of Physics.