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Comparison of the GMRES and ORTHOMIN for the black oil model in porous media
Author(s) -
Li Wenjun,
Chen Zhangxin,
Ewing Richard E.,
Huan Guanren,
Li Baoyan
Publication year - 2005
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.936
Subject(s) - generalized minimal residual method , computer science , scale (ratio) , flops , mathematics , parallel computing , algorithm , iterative method , physics , quantum mechanics
This paper deals with the application of the GMRES algorithm to a three‐dimensional, three‐phase black oil model used in petroleum reservoir simulation. Comparisons between the GMRES and ORTHOMIN algorithms in terms of storage and total flops per restart step are given. Numerical results show that the GMRES is faster than the ORTHOMIN for large‐scale simulation problems. The GMRES uses only as much as 63% of the CPU time of the ORTHOMIN for some of the problems tested. Copyright © 2005 John Wiley & Sons, Ltd.