The method is based on making an approximation to the discret inner product for the vector field. To achive a consistent and convergent method, this inner product has to reproduce linear flow exactly. A bit simplified, on may say that the method has flexibility of a finite-element method and the simplicity of a finite-difference method.
Reproduction of linear flow for three different pressure solvers (pressure drop from left to right, homogeneous permeability with anisotropy ratio 1 : 1000 aligned with the grid). Upper row: velocity field, bottom row: pressure.
Analytical and numerical solutions for the flattened top layer of a real-field model; grid-orientation effects are easily seen for the TPFA method
Published April 21, 2008
A portfolio of strategic research projects funded by the Research Council of Norway