Summary: Bol. Soc. Esp. Mat. Apl.
TRACKING FLUID INTERFACES APPROACHING SINGULAR
HECTOR D. CENICEROS
Department of Mathematics
University of California, Santa Barbara
The motion of fluid interfaces often lead to singular events which
include pinching, break-up, coalescence, and cusp formation. Numerical
simulation can play a key role in the investigation of these fundamental
phenomena which is of significant scientific and technological interest.
This is however a formidable task which demands an accurate resolution
of disparate time and length scales and a faithful representation of physical
forces. A survey of front-tracking methods for the investigation of singular
or near singular events in interfacial rheology is presented. This review
is focused on immersed interface and boundary integral type methods.
Recent advances and some salient remaining challenges are also discussed.