Numerical Investigation of Generalized Nested Factorization Preconditioner for Reservoir Simulation Problems

In this paper we present some results on application of Generalized Nested Factorization (GNF) preconditioner for real-life reservoir simulation problems. The test problems considered in the paper share some important features with reservoir models arise in real-life practice, e.g., a presence of non-local cell connections and unstructured computational grids. Numerical results are compared with the ones obtained using standard ILUT preconditioning techniques. Spectral properties of preconditioned matrices are analyzed. As a result very good performance of GNF preconditioner is observed for real-life reservoir simulation problems.

generalized nested factorization, reservoir simulation, preconditioning, incomplete LU factorization, Krylov subspace methods, generalized nested factorization