Numerical Approaches for Porous Media Flows

July 25, 2005, 4:00 p.m. (CEST)

Time: 7/25/05, 4:00 p.m. – 5:30 p.m.
Lecturer: Dr. Iuliu Sorin Pop, Dept. of Mathematics and Computer Science, TU Eindhoven, Niederlande
Venue: Pfaffenwaldring 61, Raum U1.003 (MML), Universität Stuttgart
Download as iCal:
In this talk we discuss some numerical methods that are appropriatefor models describing porous media flows. Such problems are typicallyparabolic nonlinear, but - depending on the values of the unknown -may degenerate into elliptic or hyperbolic ones. As a consequence, thesolution may lack regularity and develop singularities.

Appropriate numerical algorithms are requested for dealing with suchkind of problems. We focus here on the particular case of a scalarmodel that can be formulated in a fixed domain. To overcome thedifficulties that are due to the degeneracy, we first perturb theoriginal model and end up with a regular parabolic one. For theresulting we employ standard discretization methods (implicit in timeand an upwinded box scheme in space) and show that these lead tostable and convergent algorithms. A few words will be said on how tosolve the time discrete nonlinear problems.

To the top of the page