Harmonic mean values of positive definite tensors- Motivation for developing a MPFA-scheme

July 3, 2008

Time: July 3, 2008
Lecturer: David Werner
Lehrstuhl für Hydromechanik und Hydrosystemmodellierung, Institut für Wasserbau, Uni Stuttgart
Venue: Pfaffenwaldring 61, Raum U1.003 (MML), Universität Stuttgart
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User of UG and DUMUX-Codes often apply a generalized formula of harmonic means for permeablilities. This formula, originally derived for 1D-Codes, has some serious drawbacks in its simple generalization. I want to discuss this topic and present a different method for calculating a mean tensor.Starting with these thoughts on interpretation of weighted permeability tensors in the application of finite volume discretizations, I want to go on with a motivation for a certain multipoint flux approximation (MPFA) method.
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