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Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, October 19, 2007 - 05:00

Location:

Gilkey 113

Event Link:

Guest Speaker:

Son-Young Yi

Abstract:

We consider unsaturated flow models that incorporate dynamic capillary pressures. The presence of dynamic capillary pressure terms changes the original parabolic equations to pseudo-parabolic equations. We systematically exhibit the difficulties associated with numerical approximation of dynamic capillary pressure terms using two classes of methods with many variants: a traditional cell-centered finite difference method (CFDM) and a locally conservative Eulerian-Lagrangian method (LCELM) combined with FD treatment of nonlinear diffusion. We present the results of our numerical simulations.