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Multiscale elliptic-parabolic systems for flow and transport Public Deposited

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  • 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.
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  • Peszyńska, M., & Showalter, R. E. (2007). Multiscale elliptic-parabolic systems for flow and transport. Electronic Journal of Differential Equations, 2007(147), 1-30.
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  • 2007
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  • 147
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  • description.provenance : Approved for entry into archive by Erin Clark(erin.clark@oregonstate.edu) on 2014-08-07T20:42:13Z (GMT) No. of bitstreams: 1ShowalterRalphMathematicsMultiscaleElliptic-Parabolic.pdf: 564606 bytes, checksum: f46392dc519a5b83470c8e6179ba0d2e (MD5)
  • description.provenance : Submitted by Erin Clark (erin.clark@oregonstate.edu) on 2014-08-07T20:41:58ZNo. of bitstreams: 1ShowalterRalphMathematicsMultiscaleElliptic-Parabolic.pdf: 564606 bytes, checksum: f46392dc519a5b83470c8e6179ba0d2e (MD5)
  • This is the publisher’s final pdf.
  • description.provenance : Made available in DSpace on 2014-08-07T20:42:13Z (GMT). No. of bitstreams: 1ShowalterRalphMathematicsMultiscaleElliptic-Parabolic.pdf: 564606 bytes, checksum: f46392dc519a5b83470c8e6179ba0d2e (MD5) Previous issue date: 2007-11-05

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