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Comparison of GMRES and ORTHOMIN for the black oil model on unstructured grids
Author(s) -
Li Wenjun,
Chen Zhangxin,
Huan Guanren,
Sun Xiuzhen
Publication year - 2006
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1209
Subject(s) - generalized minimal residual method , discretization , grid , computer science , unstructured grid , flow (mathematics) , finite volume method , reservoir simulation , petroleum engineering , mathematical optimization , geology , mathematics , mechanics , iterative method , algorithm , geometry , physics , mathematical analysis
This paper addresses an application of ORTHOMIN and GMRES to petroleum reservoir simulation using the black oil model on unstructured grids. Comparisons between these two algorithms are presented in terms of storage and total flops per restart step. Numerical results indicate that GMRES is faster than ORTHOMIN for all tested petroleum reservoir problems, particularly for large scale problems. The control volume function approximation method is utilized in the discretization of the governing equations of the black oil model. This method can accurately approximate both the pressure and velocity in the simulation of multiphase flow in porous media, effectively reduce grid orientation effects, and be easily applied to arbitrarily shaped control volumes. It is particularly suitable for hybrid grid reservoir simulation. Copyright © 2006 John Wiley & Sons, Ltd.