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

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Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare? / Davit, Yohan; Bell, Christopher G.; Byrne, Helen M. et al.
In: Advances in Water Resources, Vol. 62, No. B, 31.12.2013, p. 178-206.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Davit, Y, Bell, CG, Byrne, HM, Chapman, LAC, Kimpton, LS, Lang, GE, Leonard, KHL, Oliver, JM, Pearson, NC, Shipley, RJ, Waters, SL, Whiteley, JP, Wood, BD & Quintard, M 2013, 'Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare?', Advances in Water Resources, vol. 62, no. B, pp. 178-206. https://doi.org/10.1016/j.advwatres.2013.09.006

APA

Davit, Y., Bell, C. G., Byrne, H. M., Chapman, L. A. C., Kimpton, L. S., Lang, G. E., Leonard, K. H. L., Oliver, J. M., Pearson, N. C., Shipley, R. J., Waters, S. L., Whiteley, J. P., Wood, B. D., & Quintard, M. (2013). Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare? Advances in Water Resources, 62(B), 178-206. https://doi.org/10.1016/j.advwatres.2013.09.006

Vancouver

Davit Y, Bell CG, Byrne HM, Chapman LAC, Kimpton LS, Lang GE et al. Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare? Advances in Water Resources. 2013 Dec 31;62(B):178-206. Epub 2013 Sept 21. doi: 10.1016/j.advwatres.2013.09.006

Author

Davit, Yohan ; Bell, Christopher G. ; Byrne, Helen M. et al. / Homogenization via formal multiscale asymptotics and volume averaging : How do the two techniques compare?. In: Advances in Water Resources. 2013 ; Vol. 62, No. B. pp. 178-206.

Bibtex

@article{420f75d32d1247f983ce43f28fb39a09,
title = "Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare?",
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.",
keywords = "Homogenization, Multiscale asymptotics, Porous media, Upscaling, Volume averaging",
author = "Yohan Davit 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 Michel Quintard",
year = "2013",
month = dec,
day = "31",
doi = "10.1016/j.advwatres.2013.09.006",
language = "English",
volume = "62",
pages = "178--206",
journal = "Advances in Water Resources",
issn = "0309-1708",
publisher = "Elsevier Limited",
number = "B",

}

RIS

TY - JOUR

T1 - Homogenization via formal multiscale asymptotics and volume averaging

T2 - How do the two techniques compare?

AU - Davit, Yohan

AU - Bell, Christopher G.

AU - Byrne, Helen M.

AU - Chapman, Lloyd A.C.

AU - Kimpton, Laura S.

AU - Lang, Georgina E.

AU - Leonard, Katherine H.L.

AU - Oliver, James M.

AU - Pearson, Natalie C.

AU - Shipley, Rebecca J.

AU - Waters, Sarah L.

AU - Whiteley, Jonathan P.

AU - Wood, Brian D.

AU - Quintard, Michel

PY - 2013/12/31

Y1 - 2013/12/31

N2 - 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.

AB - 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.

KW - Homogenization

KW - Multiscale asymptotics

KW - Porous media

KW - Upscaling

KW - Volume averaging

U2 - 10.1016/j.advwatres.2013.09.006

DO - 10.1016/j.advwatres.2013.09.006

M3 - Journal article

AN - SCOPUS:84888286643

VL - 62

SP - 178

EP - 206

JO - Advances in Water Resources

JF - Advances in Water Resources

SN - 0309-1708

IS - B

ER -