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Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS)
Author(s) -
Lacroix Sébastien,
Vassilevski Yuri V.,
Wheeler Mary F.
Publication year - 2001
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.264
Subject(s) - decoupling (probability) , discretization , backward euler method , euler's formula , mathematics , classification of discontinuities , computer science , reservoir simulation , finite volume method , richards equation , mathematical analysis , mechanics , control engineering , engineering , physics , geotechnical engineering , petroleum engineering , water content
This paper presents an overview of two‐stage decoupling preconditioning techniques employed in the implicit parallel accurate reservoir simulator (IPARS) computational framework for modelling multi‐component multi‐phase flow in porous media. The underlying discretization method is implicit Euler in time and mixed finite elements or cell‐centred finite differences in space. IPARS permits rigorous, physically representative coupling of different physical and numerical flow models in different parts of the domain and accounts for structural discontinuities; the framework currently includes eight physical models. For simplicity of exposition, we have restricted our discussion to a two‐phase oil–water model and a three‐phase black oil model. Our decoupling approach involves extracting a pressure equation from the fully coupled linearized system thus allowing for a more accurate preconditioning of a discrete elliptic problem of lower dimension. Copyright © 2001 John Wiley & Sons, Ltd.