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A family of constrained pressure residual preconditioners for parallel reservoir simulations
Author(s) -
Liu Hui,
Wang Kun,
Chen Zhangxin
Publication year - 2016
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.2017
Subject(s) - preconditioner , residual , newton's method , scalability , scale (ratio) , reservoir simulation , mathematics , residual oil , mathematical optimization , computer science , algorithm , iterative method , nonlinear system , petroleum engineering , geology , physics , quantum mechanics , database
Summary Large‐scale reservoir simulations are extremely time‐consuming because of the solution of large‐scale linear systems arising from the Newton or Newton–Raphson iterations. The problem becomes even worse when highly heterogeneous geological models are employed. This paper introduces a family of multi‐stage preconditioners for parallel black oil simulations, which are based on the famous constrained pressure residual preconditioner. Numerical experiments demonstrate that our preconditioners are robust, efficient, and scalable. Copyright © 2015 John Wiley & Sons, Ltd.