Abstract
One of the standard preconditioners on reservoir simulation is incomplete LU (ILU, 'LU' stands for 'lower upper') decomposition. The matrix is factored by the product of a lower triangular matrix and an upper triangular matrix. Unfortunately, in parallel environments, ILU decomposition is serial for the solving process is Gaussian elimination which computes by rows. To enhance parallelism, we introduce an asynchronous parallel method. Asynchronous means that it is not need to wait other processes to finish, one process can begin to compute. In this way, ILU decomposition has a high degree of parallelism. Our test is based on reservoir simulation, in which the iterative algorithm is GMRES with ILU preconditioner. Experiment shows that the asynchronous parallel method can increase the parallelism of ILU decomposition and reduce the number of data exchanges.
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