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SUMMARY:Multiscale Systems for Flow and Transport - Ralph  Showalter (Oreg
 on State University)
DTSTART:20160414T103000Z
DTEND:20160414T113000Z
UID:TALK65476@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:An elliptic-parabolic system of partial differential&nbsp\;equ
 ations describes the flow of a single-phase incompressible fluid&nbsp\;and
  the transport of a dissolved chemical by advection and diffusion&nbsp\;th
 rough a heterogeneous porous medium. &nbsp\;The objective is to develop an
 &nbsp\;upscaled model of this system which represents the&nbsp\;full range
  of scales observed. &nbsp\;After a review of homogenization&nbsp\;results
  for the traditional low contrast and the $\\epsilon^2$-scaled&nbsp\;high 
 contrast cases\, the new discrete upscaled model based on local&nbsp\;affi
 ne approximations is constructed. It reproduces the full range of&nbsp\;sc
 ale contrasts observed in experiments.
LOCATION:Seminar Room 1\, Newton Institute
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