Application of a coupled VF/EF multi-scale method to cement media

We present here the first results of a work on a multiscale resolution method using both Finite Volumes and Elements. Our method relies upon the coupling of grid scales: a coarse one and a fine one. The trick is to build a Finite Element basis on the coarse grid from problems solved on the fine one. In previous works on this subject [1] [2], the Finite Element method was used in both the fine and coarse scales, whereas, in our approch, the fine scale simulations are made via Finite Volumes. This way, we hope to increase the stability of the method in view of strong discontinuities and anisotropy of the studied media, and to keep the advantages of multi-scale finite element method (no strong assumptions on the media, parallelism of calculus).