GMRES based numerical simulation and parallel implementation of multicomponent multiphase flow in porous media. Issue 1 (1st January 2020)

• Record Type: Journal Article
• Authors: Mukhambetzhanov, Saltanbek T.; Lebedev, Danil V.; Kassymbek, Nurislam M.; Imankulov, Timur S.; Matkerim, Bazargul; Akhmed-Zaki, Darkhan Zh.
• Editors: Pham, Duc
• Is Part Of: Cogent engineering. Volume 7:Issue 1(2020)
• Publication Date: 2020-01-01
• Subjects: multicomponent multiphase flow -- Newton-Raphson method -- GMRES -- MPI technology; Engineering -- Periodicals; Technology -- Periodicals; Engineering; Technology; Periodicals; 620
• DOI: 10.1080/23311916.2020.1785189
• Languages: English
• ISSNs: 2331-1916

Abstract

Abstract: This article considered the numerical simulation of multicomponent multiphase flow in porous media. The resulting system of nonlinear equations linearized by the Newton-Raphson method and solved with the iterative Generalized minimal residual method (GMRES) algorithm. To achieve better convergence, we used the ILU(0) preconditioner to the GMRES algorithm. As a result, we used a completely implicit scheme called the Newton-ILU0-GMRES algorithm to solve the problem of interest. Based on the obtained sequential algorithm, we implemented a parallel algorithm using Message Passing Interface (MPI) technology. Additionally, we made comparisons between the parallel program of the presented algorithm and the parallel program using the ready-made Portable Extensible Toolkit for Scientific Computation (PETSc) library. We developed an MPI parallel algorithm and tested it on the MVS-10P supercomputer of the Interdepartmental Supercomputer Center of the Russian Academy of Sciences.