Coupling Two-Phase Fluid Flow with Two-Phase Darcy Flow in Anisotropic Porous Media
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This paper reports a numerical study of coupling two-phase fluid flow in a free fluid region with two-phase Darcy flow in a homogeneous and anisotropic porous medium region. The model consists of coupled Cahn-Hilliard and Navier-Stokes equations in the free fluid region and the two-phase Darcy law in the anisotropic porous medium region. A Robin-Robin domain decomposition method is used for the coupled Navier-Stokes and Darcy system with the generalized Beavers-Joseph-Saffman condition on the interface between the free flow and the porous media regions. Obtained results have shown the anisotropic properties effect on the velocity and pressure of the two-phase flow.
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2018 ◽
Vol 1123
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pp. 012002
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2021 ◽
Vol 62
(3)
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pp. 458-466
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1990 ◽
Vol 30
(6)
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pp. 1195-1212
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2019 ◽
Vol 131
(2)
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pp. 449-472
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