Abstract
Summary A major assumption in many simulators is that the pressure equation always has a diagonal tensor. However, in many cases of practical interest, a full tensor matrix occurs. Three contributing factors that can give rise to a full tensor pressure equation are anisotropic media, upscaling (with cross-flow effects), and non-K-orthogonal structured and unstructured grids. The introduction of a full tensor approximation typically increases the support of the standard scheme on a logically rectangular grid from 7 to 27 nodes in 3D, which can increase 3D simulation costs by over 100%. In this paper, 3D full tensor operator splitting schemes are presented. These schemes maintain consistent full tensor approximations while only requiring diagonal tensor inversion.
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