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Filtering by: Creator Freiherr von Schwerin, Claudius Creator Showalter, Ralph E.

Multiscale elliptic-parabolic systems for flow and transport

Creator:

Peszyńska, Malgorzata and 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...

Resource Type:

Article
Flow and transport when scales are not separated: Numerical analysis and simulations of micro- and macro-models

Creator:

Peszynska, Malgorzata, Showalter, Ralph E., and Yi, Son -Young

Abstract:

In this paper, we consider an upscaled model 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. Unlike traditional homogenization or volume averaging techniques, we do not assume a good separation of scales. The new...

Resource Type:

Article

Full Text:

stability analysis of our numerical methods for the upscaled model. First, we perform von-Neumann analysis