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College of Engineering, Architecture and Technology
Southwest Mechanics Lecture Series

Colloidal Microdevices and Dynamic Self-Assembly: Algorithms and Simulations

 

George Em Karniadakis
Professor of Applied Mathematics, Brown University
Visiting Professor of Mechanical Engineering, MIT
Providence, RI and Cambridge, MA


Effective manipulation of micro-particles is very important in microfluidic applications, such as biomedical flows and self-assembled structures. In this talk some of these applications are reviewed and two different methods are presented to simulate efficiently micropumps and micromixers designed based on paramagnetic beads. The first method, the force-coupling method (FCM), is based on a spatial distribution of finite force multipoles and requires much less resolution than full direct numerical simulations. The second method, dissipative particle dynamics (DPD), is a mesoscopic simulation method between molecular dynamics and continuum hydrodynamics. It can simulate efficiently complex liquids and dense suspensions using only a few thousands of virtual particles and at speed-up factors of more than one hundred thousand compared to molecular dynamics.
 

George Karniadakis is Professor of Applied Mathematics at Brown University and Visiting Professor of Mechanical Engineering at MIT. He obtained his SM and PhD degrees from MIT (1984; 1987) and had appointments at Stanford, Princeton and Caltech before joining the faculty at Brown. He is the author of books on spectral elements, microflows, and parallel scientific computing, and has written more than 200 research papers in numerical methods and in applications in fluid mechanics. He has graduated more than two dozen PhD students, half of whom hold academic appointments. His diverse research interests include topics in computational mathematics and engineering. His work on turbulence was published in Science and his simulations are often featured on the covers of popular scientific journals such as Physics Today. His current research thrusts are multiscale modeling and stochastic PDEs. He currently is pursuing one of the largest computations ever: simulating blood flow in the entire arterial tree on the TeraGrid - an NSF project.


Monday, October 24, 3:30 pm (Refreshments at 3:15)
Noble Research Center, Room 207
 

Further Information: (405) 744-5900 and http://www.mae.okstate.edu/
 

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