1 research outputs found
Parallel multilevel restricted Schwarz preconditioners for implicit simulation of subsurface flows with Peng-Robinson equation of state
Parallel algorithms and simulators with good scalabilities are particularly
important for large-scale reservoir simulations on modern supercomputers with a
large number of processors. In this paper, we introduce and study a family of
highly scalable multilevel restricted additive Schwarz (RAS) methods for the
fully implicit solution of subsurface flows with Peng-Robinson equation of
state in two and three dimensions. With the use of a second-order fully
implicit scheme, the proposed simulator is unconditionally stable with the
relaxation of the time step size by the stability condition. The investigation
then focuses on the development of several types of multilevel overlapping
additive Schwarz methods for the preconditioning of the resultant linear system
arising from the inexact Newton iteration, and some fast solver technologies
are presented for the assurance of the multilevel approach efficiency and
scalability. We numerically show that the proposed fully implicit framework is
highly efficient for solving both standard benchmarks as well as realistic
problems with several hundreds of millions of unknowns and scalable to 8192
processors on the Tianhe-2 supercomputer