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This paper presents our work on designing scalable linear solvers forlarge-scale reservoir simulations. The main objective is to supportimplementation of parallel reservoir simulators on distributed-memory parallelsystems, where MPI (Message Passing Interface) is employed for communicationsamong computation nodes. Distributed matrix and vector modules are designed,which are the base of our parallel linear systems. Commonly-used Krylovsubspace linear solvers are implemented, including the restarted GMRES method,the LGMRES method, and the BiCGSTAB method. It also has an interface to aparallel algebraic multigrid solver, BoomerAMG from HYPRE. Parallelgeneral-purpose preconditioners and special preconditioners for reservoirsimulations are also developed. The numerical experiments show that our linearsolvers have excellent scalability using thousands of CPU cores.

Scalable linear solvers for sparse linear systems from large-scale numerical simulations