V. E. Borisov, E. B. Savenkov, “Numerical Investigation of Generalized Nested Factorization Preconditioning Technique for Industrial Reservoir Simulation Problems”, Keldysh Institute preprints, 2013,012, 18 pp.

Numerical Investigation of Generalized Nested Factorization Preconditioning Technique for Industrial Reservoir Simulation Problems

V. E. Borisov, E. B. Savenkov

Abstract: In this paper we present some results on application of Generalized Nested Factorization (GNF) preconditioning technique for industrial 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 nonlocal cell connections and unstructured computational grids.
Numerical results are compared with the ones obtained using standard ILU type preconditioning techniques (ILU(0), ILU(1), ILUT). Besides, spectral properties of preconditioned matrices are analyzed, too.
As a result very good performance of GNF preconditioner is observed for industrial reservoir simulation problems.

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