Effective anisotropy tensor for the numerical solution of heterogenous porous media flow problems

Gian Paolo Leonardi, Fabio Paronetto, Mario Putti & Gian Paolo Leonardi
The numerical solution of strongly heterogeneous and anisotropic porous media flow equations often requires the definition of discrete interfacial average fluxes. Standard methods, such as Integrated Finite Differences (IFD) or Finite Volumes (FV), start from the definition of an average solution gradient and calculate the interface fluxes by means of appropriate averages of the conductivity tensor K. For a scalar K, the harmonic average is correct in the sense that it returns the same flux...
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