Fluid Dynamics Seminar

Monday, Nov. 5, 2012, 4:00 PM
Cullimore, Room 611
New Jersey Institute of Technology


Overlapping Patches for Dynamic Problems

Carlo Fazioli


Department of Mathematical Sciences, New Jersey Institute of Technology



In this talk, we will briefly review the existing methods of "patches" for static surface problems. This method has been employed with considerable success to problems of potential theory and acoustic and electromagnetic scattering. It is desireable then, to consider using overlapping patches for dynamic surface problems, such as vortex sheet motion or fluid-fluid boundaries. We will discuss the obstacles faced when evolving patches in time, as well as the resolution of these obstacles. The talk will cover details of method, and attempts to solve a physical problem using the new techniques.