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Discontinuous finite volume method for compressible miscible displacement problems in porous media
Author(s) -
Wang Ping,
Jiang Ziwen,
Yin Zhe,
Xu Qiang
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5588
Subject(s) - mathematics , porous medium , compressibility , partial differential equation , mathematical analysis , displacement (psychology) , nonlinear system , finite volume method , norm (philosophy) , porosity , mechanics , materials science , physics , psychology , composite material , psychotherapist , quantum mechanics , political science , law
The compressible miscible displacement problem in porous media is modeled by a coupled system of two nonlinear partial differential equations: the pressure equation and the concentration equation are parabolic equation. In this article, we present discontinuous finite volume method for the concentration equation and the pressure equation. The optimal order error estimates for pressure and concentration are obtained in a mesh dependent norm.