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Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, May 29, 2009 - 05:00

Location:

GLK 113

Event Link:

Local Speaker:

Abstract:

Traditionally saturated flow in porous media is modeled using Darcy model which is linear in the gradient of pressure; this model can be proven by homogenization to be an average of Stokes flow at porescale. In heterogeneous porous media where the scale of heterogeneity is too small to be handled by practical computational models, one has the need to homogeniza/average further to an upscaled Darcy model at macroscale.

It is known that at larger velocities the inertia effects become significant and Stokes or Darcy models no longer are accurate. We consider a model including the inertia effects at porescale (Navier-Stokes), the non-Darcy model at mesoscale, and upscaled non-Darcy at macroscale, and show our recently published results concerning computational upscaling from porescale to mesoscale (joint work with Trykozko and Augustson, paper in ICCS, 2009), and from mesoscale to macroscale (joint with Garibotti, paper in TiPM, 2009).