The Library
Homogenization via formal multiscale asymptotics and volume averaging : how do the two techniques compare?
Tools
Davit, Yohan, Bell, Christopher G., Byrne, Helen M., Chapman, Lloyd A. C., Kimpton, Laura S., Lang, Georgina E., Leonard, Katherine H. L., Oliver, James M., Pearson, Natalie C., Shipley, Rebecca J., Waters, Sarah L., Whiteley, Jonathan P., 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 . pp. 178-206. doi:10.1016/j.advwatres.2013.09.006 ISSN 0309-1708.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1016/j.advwatres.2013.09.006
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.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) | ||||
Journal or Publication Title: | Advances in Water Resources | ||||
Publisher: | Pergamon Press | ||||
ISSN: | 0309-1708 | ||||
Official Date: | December 2013 | ||||
Dates: |
|
||||
Volume: | 62 | ||||
Page Range: | pp. 178-206 | ||||
DOI: | 10.1016/j.advwatres.2013.09.006 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |