Finite Volume Solutions of Strongly Anisotropic Porous Media Flow

Gianmarco Manzini, Mario Putti & Gianmarco Manzini
Anisotropic (i.e. direction dependent) porous media flow equations are characterized by conductivities that may be space dependend full rank tensors. This class of problems is also known as parameter dependent problems, the parameter being the anisotropy ratio, i.e. the ratio between the smallest and largest eigenvalues of the conductivity tensor. Efficient numerical discretization of strongly anisotropic problems is generally obtained by means of ad hoc, mesh dependent scheme modifications developed to overcome the problem known...
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