GMRES based numerical simulation and parallel implementation of multicomponent multiphase flow in porous media

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,...

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Published inCogent engineering Vol. 7; no. 1; p. 1785189
Main Authors Mukhambetzhanov, Saltanbek T., Lebedev, Danil V., Kassymbek, Nurislam M., Imankulov, Timur S., Matkerim, Bazargul, Akhmed-Zaki, Darkhan Zh
Format Journal Article
LanguageEnglish
Published Abingdon Cogent 01.01.2020
Taylor & Francis Ltd
Taylor & Francis Group
Subjects
Algorithms
Computer simulation
GMRES
Iterative methods
Message passing
MPI technology
multicomponent multiphase flow
Multiphase flow
Newton-Raphson method
Nonlinear equations
Parallel programming
Porous media
Supercomputers
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Summary: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.
ISSN:2331-1916
2331-1916
DOI:10.1080/23311916.2020.1785189