NUMERICAL ALGORITHMS FOR SOLVING PROBLEMS OF MULTIPHASE FLOWS IN POROUS MEDIA

In this paper we discuss numerical algorithms for solving the system of nonlinear PDEs, arising in modelling of two‐phase flows in porous media, as well as the proper object oriented implementation of these algorithms. Global pressure model for isothermal two‐phase immiscible flow in porous media is...

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Published inMathematical modelling and analysis Vol. 11; no. 2; pp. 133 - 148
Main Authors Èiegis, R., Iliev, O., Starikovièius, V., Steiner, K.
Format Journal Article
LanguageEnglish
Published Vilnius Gediminas Technical University 30.06.2006
Subjects
finite‐volume method
flows
nonlinear algorithms
porous media
software tools
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Summary:In this paper we discuss numerical algorithms for solving the system of nonlinear PDEs, arising in modelling of two‐phase flows in porous media, as well as the proper object oriented implementation of these algorithms. Global pressure model for isothermal two‐phase immiscible flow in porous media is considered in this paper. Finite‐volume method is used for the space discretization of the system of PDEs. Different time stepping discretizations and linearization approaches are discussed. The main concepts of the PDE software tool MfsolverC++ are given. Numerical results for one realistic problem are presented.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2006.9637308