On some multiscale algorithms for sector modeling in multiphase flow problems

The multiscale algorithm for multiphase filtration problem is proposed. Filtration fluxes on the fine grid are determined from solution of the pressure equation on the coarse grid. Further, domain is decomposed on to subdomains with reasonable number of cells and the full second boundary condition filtration problem is solved using pressure equation. The support operator method has been improved for complex structure cell for solution of the pressure equation on the coarse grid. This method is high resolution one: i.e. it allows revealing solution properties related to fine grid structure.