MMAE Seminar: Modeling and Computation of Moving Interface Problems

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Retalliata Engineering Center, Room 104 10 West 32nd Street Chicago, IL 60616
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MMAE -- Dr. Shuwang Li

The MMAE department welcomes Shuwang Li, Ph.D., associate professor in the Department of Applied Mathematics at Illinois Tech for his discussion on "Modeling and Computation of Moving Interface Problems" on February 12. 

 

 

 

ABSTRACT

Moving interface problems have been used to model many physical and biological systems, ranging from multiphase flow to tumor growth. Originated from petroleum, the Hele-Shaw problem is a classical example for studying interface dynamics or systems driven out of equilibrium. In this lecture, Li will first discuss numerical issues related to long-time computation of moving interfaces. Then he will present a time adaptive scheme for efficiently computing the dynamics of a moving interface.

The idea is to design a time-space mapping such that in the new time scale, the interfaces can evolve at arbitrarily fast or slow speed. Li will then display numerical examples and present largest (expanding interface) and smallest (shrinking interface) Hele-Shaw simulation up to date.

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