TY - EJOU AU - Wijesinghe, H.S. AU - Hadjiconstantinou, N.G. TI - A Hybrid Atomistic–Continuum Formulation for Unsteady, Viscous, Incompressible Flows T2 - Computer Modeling in Engineering \& Sciences PY - 2004 VL - 5 IS - 6 SN - 1526-1506 AB - 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. KW - DO - 10.3970/cmes.2004.005.515