Davit, Yohan and Bell, Christopher G. and Byrne, Helen M. and Chapman, Lloyd A.C. and Kimpton, Laura S. and Lang, Georgina E. and Leonard, Katherine H.L. and Oliver, James M. and Pearson, Natalie C. and Shipley, Rebecca J. and Waters, Sarah L. and Whiteley, Jonathan P. and Wood, Brian D. and Quintard, Michel (2013) Homogenization via formal multiscale asymptotics and volume averaging : How do the two techniques compare? Advances in Water Resources, 62 (B). pp. 178-206. ISSN 0309-1708
Full text not available from this repository.Abstract
A wide variety of techniques have been developed to homogenize transport equations in multiscale and multiphase systems. This has yielded a rich and diverse field, but has also resulted in the emergence of isolated scientific communities and disconnected bodies of literature. Here, our goal is to bridge the gap between formal multiscale asymptotics and the volume averaging theory. We illustrate the methodologies via a simple example application describing a parabolic transport problem and, in so doing, compare their respective advantages/disadvantages from a practical point of view. This paper is also intended as a pedagogical guide and may be viewed as a tutorial for graduate students as we provide historical context, detail subtle points with great care, and reference many fundamental works.