Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Date/Time: 
Friday, October 19, 2007 - 05:00
Location: 
Gilkey 113

Speaker Info

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.