Open AccessNUMERICAL ALGORITHMS FOR SOLVING PROBLEMS OF MULTIPHASE FLOWS IN POROUS MEDIA
Author(s) -
R. Èiegis,
Oleg Iliev,
V. Starikovièius,
Klaus Steiner
Publication year - 2006
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2006.9637308
Subject(s) - discretization , linearization , porous medium , nonlinear system , computer science , mathematics , flow (mathematics) , multiphase flow , finite volume method , numerical analysis , mathematical optimization , algorithm , mathematical analysis , porosity , mechanics , geometry , materials science , physics , quantum mechanics , composite material
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.