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A Hybrid Atomistic–Continuum Formulation for Unsteady, Viscous, Incompressible Flows

H.S. Wijesinghe1, N.G. Hadjiconstantinou2
1 Department of Aeronautics/Astronautics, Massachusetts Institute of Technology
2 Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA 02139, USA.

Computer Modeling in Engineering & Sciences 2004, 5(6), 515-526.


We present an implicit hybrid atomisticcontinuum formulation for unsteady, viscous, incompressible flows. The coupling procedure is derived from a domain decomposition method known as the Schwarz alternating method. A dilute gas impulsive Couette flow test problem is used to verify the hybridscheme. Finally, a method to reduce computational costs through limited ensemble averaging is presented. The implicit formulation proposed here is expected to be significantly faster than a time explicit approach based on a compressible formulation for the simulation of low speed flows such as those found in micro- and nano–scale devices.

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Wijesinghe, H., Hadjiconstantinou, N. (2004). A Hybrid Atomistic–Continuum Formulation for Unsteady, Viscous, Incompressible Flows. CMES-Computer Modeling in Engineering & Sciences, 5(6), 515–526.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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