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| Department of Mathematics | ||
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Joint special colloquium between Mathematics and Mechanical EngineeringTuesday, April 22, 3:00-4:00pm, A304 Wells Hall | ||
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| Multiscale simulation of micro- and nano-fluidics by Shiyi Chen, Professor, Department of Mechanical Engineering, The Johns Hopkins University Abstract Numerical modeling of dynamic coupling between micro- and nano-fluid flows has been a challenge due to complexity of underlying multiscale physics and lacking effective numerical schemes. In this talk, I will propose a hybrid multiscale numerical method for micro- and nano-fluidics which employs continuum Navier-Stokes description in one region and atomisticdescription in another. Smooth transition of above two schemes is achievedthrough a constrained dynamics. The method is used to simulate multiscaletime-dependent Couette flow, channel flow with nano-scale rough wall anddriven cavity. The simulated results from the multiscale method agreequantitatively with analytical solutions and predictions from fullmolecular dynamics simulations. Future applications of the multiscalemethod will be elaborated. | ||
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| Last Revised: 04/07/03 Corrections: mccarthy@math.msu.edu |