Preconditioned biconjugate gradient methods for numerical reservoir simulation

Abstract This paper describes numerical experiments on solving linear systems of equations that arise in reservoir simulations. The well-known conjugate-gradient methods Orthomin and Gmres are compared to the biconjugate-gradient method and to an accelerated version called the conjugate-gradient squared method. An incomplete factorization technique based on the level of fill-in idea is used, with investigations to find the appropriate level. Finally, the influence of a reordering method on the convergence rate is tested.