Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare?

Handle URI:
http://hdl.handle.net/10754/598515
Title:
Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare?
Authors:
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.; Quintard, Michel
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. © 2013 Elsevier Ltd.
Citation:
Davit Y, Bell CG, Byrne HM, Chapman LAC, Kimpton LS, et al. (2013) Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare? Advances in Water Resources 62: 178–206. Available: http://dx.doi.org/10.1016/j.advwatres.2013.09.006.
Publisher:
Elsevier BV
Journal:
Advances in Water Resources
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Dec-2013
DOI:
10.1016/j.advwatres.2013.09.006
Type:
Article
ISSN:
0309-1708
Sponsors:
This work was supported in part by Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST). Dr. Wood was supported in part by the U.S. Department of Energy, Office of Science (Subsurface Biogeochemistry Research program through the PNNL Subsurface Science Focus Area), and by NSF Mathematics under Grant 1122699.
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Full metadata record

DC FieldValue Language
dc.contributor.authorDavit, Yohanen
dc.contributor.authorBell, Christopher G.en
dc.contributor.authorByrne, Helen M.en
dc.contributor.authorChapman, Lloyd A.C.en
dc.contributor.authorKimpton, Laura S.en
dc.contributor.authorLang, Georgina E.en
dc.contributor.authorLeonard, Katherine H.L.en
dc.contributor.authorOliver, James M.en
dc.contributor.authorPearson, Natalie C.en
dc.contributor.authorShipley, Rebecca J.en
dc.contributor.authorWaters, Sarah L.en
dc.contributor.authorWhiteley, Jonathan P.en
dc.contributor.authorWood, Brian D.en
dc.contributor.authorQuintard, Michelen
dc.date.accessioned2016-02-25T13:31:22Zen
dc.date.available2016-02-25T13:31:22Zen
dc.date.issued2013-12en
dc.identifier.citationDavit Y, Bell CG, Byrne HM, Chapman LAC, Kimpton LS, et al. (2013) Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare? Advances in Water Resources 62: 178–206. Available: http://dx.doi.org/10.1016/j.advwatres.2013.09.006.en
dc.identifier.issn0309-1708en
dc.identifier.doi10.1016/j.advwatres.2013.09.006en
dc.identifier.urihttp://hdl.handle.net/10754/598515en
dc.description.abstractA 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. © 2013 Elsevier Ltd.en
dc.description.sponsorshipThis work was supported in part by Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST). Dr. Wood was supported in part by the U.S. Department of Energy, Office of Science (Subsurface Biogeochemistry Research program through the PNNL Subsurface Science Focus Area), and by NSF Mathematics under Grant 1122699.en
dc.publisherElsevier BVen
dc.subjectHomogenizationen
dc.subjectMultiscale asymptoticsen
dc.subjectPorous mediaen
dc.subjectUpscalingen
dc.subjectVolume averagingen
dc.titleHomogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare?en
dc.typeArticleen
dc.identifier.journalAdvances in Water Resourcesen
dc.contributor.institutionUniversite de Toulouse, Toulouse, Franceen
dc.contributor.institutionIMFT Institut de Mecaniques des Fluides, Toulouse, Franceen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUCL, London, United Kingdomen
dc.contributor.institutionOregon State University, Corvallis, United Statesen
kaust.grant.numberKUK-C1-013-04en
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