A new MMOCAA-MFE method for compressible miscible displacement in porous media

Combining the modified method of characteristics with adjusted advection with a splitting positive definite mixed element scheme, we establish a new mixed finite element procedure for solving compressible miscible displacement in porous media. This procedure can preserve the mass conservation global...

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Bibliographic Details
Published in:Applied numerical mathematics 2014-06, Vol.80, p.65-80
Main Authors: Zhang, Jiansong, Yang, Danping, Shen, Shuqian, Zhu, Jiang
Format: Article
Language:English
Subjects:
Convergence
Displacement
Flux
Mathematical analysis
Mathematical models
Media
Miscible displacement
MMOC
MMOCAA
Optimization
Preserves
Splitting system
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Summary:Combining the modified method of characteristics with adjusted advection with a splitting positive definite mixed element scheme, we establish a new mixed finite element procedure for solving compressible miscible displacement in porous media. This procedure can preserve the mass conservation globally, the coefficient matrix of the mixed system is symmetric positive definite and the flux equation is separated from the pressure equation. We analyse the convergence and give an optimal L2-norm error estimate. Finally we present some numerical results to confirm our theoretical analysis.
ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2014.03.001