It is well known that the two-point flux approximation, a numerical scheme used in most
commercial reservoir simulators, has O (1) error when grids are not K-orthogonal. In the last …

Summary Multipoint-flux-approximation (MPFA) methods were introduced to solve control-
volume formulations on general simulation grids for porous-media flow. While these …

We propose a methodology, called multilevel local–global (MLLG) upscaling, for generating
accurate upscaled models of permeabilities or transmissibilities for flow simulation on …

In this paper, we discuss multipoint flux approximation (MPFA) methods in two dimensions:
The O-method, the L-method and the enriched MPFA methods. We give the flux and the cell …

This final technical report describes work performed for the project'Experimental
Investigation and High Resolution Numerical Simulator of In-Situ Combustion Processes' …

Je remercie mon directeur de these, Jean-Laurent Mallet, qui m'a fait confiance pour me
prendre en these et laisser développer ces quelques petites idées durant trois années. Je …

We compare the recently developed Vertex Approximate Gradient (VAG) scheme developed
in [R. Eymard et al., ESAIM: Mathematical Modelling and Numerical Analysis, 46 (2), 2012] …

Complex geometric and geological features of realistic reservoirs motivate the need for
flexible and robust flux discretisation for forecasting of fluid flow in porous media. Geo …

Efficient and profitable oil production is subject to make reliable predictions about reservoir
performance. However, restricted knowledge about reservoir rock and fluid properties and …