Multilevel FAC and Asynchronous FAC Techniques for Reservoir Simulation

In order to catch localized phenomena in reservoir simulation, composite grid discretization (with local refinement) seems to be necessary. The F.A.C method (McCORMICK[1986,1990] is certainly among other methods an efficient technique to solve elliptic problems (e.g. pressure equation) on such composite mesh. In this paper we will focus on the asynchronous and multilevel version of this method; the application is developped on a waterflooding simulator. The obtained numerical results show the efficiency of such methods and, in particular, that is more efficient when used as preconditionners. We implemented also asynchronous version of this method on multiprocessor distributed memory machine iPSC.