Open Access

ARTICLE

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. https://doi.org/10.3970/cmes.2004.005.515

Abstract

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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