Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS)

Citation
S. Lacroix et al., Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS), NUM LIN ALG, 8(8), 2001, pp. 537-549
Citations number
23
Categorie Soggetti
Mathematics
Journal title
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN journal
10705325 → ACNP
Volume
8
Issue
8
Year of publication
2001
Pages
537 - 549
Database
ISI
SICI code
1070-5325(200112)8:8<537:DPITIP>2.0.ZU;2-A
Abstract
This paper presents an overview of two-stage decoupling preconditioning tec hniques employed in the implicit parallel accurate reservoir simulator (PAR S) computational framework for modelling multicomponent multi-phase flow in porous media. The underlying discretization method is implicit Euler in ti me and mixed finite elements or cell-centred finite differences in space. P ARS permits rigorous, physically representative coupling of different physi cal and numerical flow models in different parts of the domain and accounts for structural discontinuities; the framework currently includes eight phy sical models. For simplicity of exposition, we have restricted our discussi on to a two-phase oil-water model and a three-phase black oil model. Our de coupling approach involves extracting a pressure equation from the fully co upled linearized system thus allowing for a more accurate preconditioning o f a discrete elliptic problem of lower dimension. Copyright (C) 2001 John W iley & Sons, Ltd.