@Article{cmes.2004.005.515, AUTHOR = {H.S. Wijesinghe, N.G. Hadjiconstantinou}, TITLE = {A Hybrid Atomistic–Continuum Formulation for Unsteady, Viscous, Incompressible Flows}, JOURNAL = {Computer Modeling in Engineering \& Sciences}, VOLUME = {5}, YEAR = {2004}, NUMBER = {6}, PAGES = {515--526}, URL = {http://www.techscience.com/CMES/v5n6/33392}, ISSN = {1526-1506}, 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.}, DOI = {10.3970/cmes.2004.005.515} }