Multiscale elliptic-parabolic systems for flow and transport

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/rb68xc55p

Descriptions

Attribute Name	Values
Creator	Peszyńska, Malgorzata Showalter, Ralph E.
Abstract	An upscaled elliptic-parabolic system of partial differential equations describing the multiscale flow of a single-phase incompressible fluid and transport of a dissolved chemical by advection and diffusion through a heterogeneous porous medium is developed without the usual assumptions of scale separation. After a review of homogenization results for the traditional low contrast and the ϵ²-scaled high contrast cases, the new discrete upscaled model based on local affine approximations is constructed. The resulting model is mass conserving and contains the effects of local advective transport as well as diffusion, it includes non-Fickian models of dispersion and works over a broad range of contrast cases.
Resource Type	Article
Date Available	2014-08-07T20:42:13+00:00
Date Issued	2007-11-05
Citation	Peszyńska, M., & Showalter, R. E. (2007). Multiscale elliptic-parabolic systems for flow and transport. Electronic Journal of Differential Equations, 2007(147), 1-30.
Journal Title	Electronic Journal of Differential Equations
Journal Volume	2007
Journal Issue/Number	147
Academic Affiliation	Mathematics
Rights Statement	Copyright Not Evaluated
Related Items	The published article can be found at the Electronic Journal of Differential Equations.
Publisher	Texas State University
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/51226