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Complex fluids are challenging to simulate as they are characterized by fluid-structure
interaction and the presence of a stationary or evolving microstructure. We will discuss the
discretization of integral equation formulations for complex fluids. In particular, we will discuss
the challenges and scalability of algorithms for volume integral equations and we will present a
new open-source library for such problems. Key algorithmic primitives include tree-data structures
(like octrees) and fast summation methods (like the Fast Multipole Method). We will compare their
performance to other state-of-the art codes. Representative applications will include blood flow in
microcirculation and flow in porous media.
Speaker's Bio:
George Biros is the W. A. ''Tex'' Moncrief Chair in Simulation-Based Engineering Sciences in
the Institute for Computational Engineering and Sciences and has Full Professor appointments with
the departments of Mechanical Engineering and Computer Science at the University of Texas at
Austin.
From 2008 to 2011, he was an Associate Professor in the School of Computational Science and
Engineering at Georgia Tech and The Wallace H. Coulter Department of Biomedical Engineering at
Georgia Tech and Emory University. From 2003 to 2008, he was an Assistant professor in Mechanical
Engineering and Applied Mechanics at the University of Pennsylvania. He received his BS in
Mechanical Engineering from Aristotle University Greece (1995), his MS in Biomedical Engineering
from Carnegie Mellon (1996), and his PhD in Computational Science and Engineering also from
Carnegie Mellon University (2000). He was a postdoctoral associate at the Courant Institute of
Mathematical Sciences from 2000 to 2003. Biros was among a team of researchers that won the
IEEE/ACM SC03 and SC10 Gordon Bell Prizes.
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