Open AccessHigher order fully implicit cell-centered finite volume method for simulation of oil-water displacement in porous medium
Author(s) -
Денис Олегович Диль
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1611/1/012022
Subject(s) - finite volume method , linearization , mathematics , mechanics , convergence (economics) , robustness (evolution) , displacement (psychology) , upwind scheme , mathematical analysis , nonlinear system , physics , chemistry , discretization , biochemistry , quantum mechanics , economics , gene , economic growth , psychology , psychotherapist
In this paper a fully implicit cell-centered finite volume method with Higher-Order Upwind scheme (HOU) for convective flow approximation is presented for numerical solution of oil-water displacement problem. Main advantages of this scheme are the robustness, accuracy and rapid convergence of Newton technique, used for linearization obtained discrete equations. Using of HOU scheme allows receive second order approximation of flux in the regions of slow saturation changing and stable solution near to the shocks. Efficiency of proposed scheme is verified by numerical tests.