Multiscale Formulations with CVD-MPFA Schemes on Structured and Unstructured Grids
Elliot Parramore, Michael G. Edwards, Sadok Lamine, Mayur Pal · 2013
Abstract This paper focuses on methods for fine scale modelling and presents development of multiscale methods with particular emphasis on the numerical flux approximation. Families of Darcy-flux approximations have been developed for consistent approximation of the general tensor pressure equation arising from Darcys law together with mass conservation. The schemes are control- volume distributed (CVD) with flow variables and rock properties sharing the same location in a given control-volume and are comprised of a multipoint flux family formulation (CVD-MPFA). The schemes are used to develop a CVD-MPFA based multiscale formulation applicable to both structured and unstructured grids in two-dimensions.