A Multi-Stage Preconditioner for the Black Oil Model and Its OpenMP Implementation

Abstract

In this paper, we propose a preconditioner for solving large-scale linear systems arising from fully implicit petroleum reservoir simulation. First, we take several analytical and physical considerations into account, and choose appropriate auxiliary spaces (problems) to design a preconditioner in the framework of auxiliary space preconditioning method. Secondly, we present an efficient implementation of the proposed preconditioner in modern multicore computer environment. Finally, we test the efficiency and robustness of the proposed methods with a large benchmark problem.