Multiscale Systems for Flow and Transport

1 hour 5 mins,  325.04 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  682.74 kbits/sec
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Description: Showalter, R (Oregon State University)
Thursday 14th April 2016 - 11:30 to 12:30
 
Created: 2016-04-18 15:58
Collection: Melt in the Mantle
Publisher: Isaac Newton Institute
Copyright: Showalter, R
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: An elliptic-parabolic system of partial differential equations describes the flow of a single-phase incompressible fluid and the transport of a dissolved chemical by advection and diffusion through a heterogeneous porous medium. The objective is to develop an upscaled model of this system which represents the full range of scales observed. After a review of homogenization results for the traditional low contrast and the ε^2-scaled high contrast cases, the new discrete upscaled model based on local affine approximations is constructed. It reproduces the full range of scale contrasts observed in experiments.
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