Advances in Hybrid Molecular/Continuum Methods for Micro and Nano Flows

Abstract

Next generation uid ow systems are likely to depend on micro or nano scale dynamics that make the system behaviour multiscale in both space and time. There may be strong or weak separation between the length scales and between the time scales in di erent parts of the ow, and these scale-separations may also vary in space and time. In this paper we discuss a practical approach to improving the e ciency of hybrid particle/continuum models of such multiscale ows. Our focus is on adapting the solution method to the local scale-separation conditions, in order to balance compu- tational e ciency with accuracy. We compare results from our new hybridisation in space and time with full molecular simulations of benchmark nanoscale ows.