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Conference Papers Year : 2021

A robust VAG scheme for a two-phase flow problem in heterogeneous porous media

Konstantin Brenner
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  • PersonId : 1062104
Roland Masson
El Houssaine Quenjel
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  • PersonId : 1064730

Abstract

A positive Vertex Approximate Gradient (VAG) scheme is proposed to discretize the total velocity formulation of two-phase Darcy flow problems in heterogeneous porous media. The discretization is based on the physical variables and allows for multiple rock types with highly contrasted petrophysical and hydrodynamical properties. The numerical experiment shows that, compared to the Phase Potential Upwind (PPU) version of VAG scheme, this new discretization is more robust and efficient in terms of nonlinear convergence
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hal-02476745 , version 1 (12-02-2020)

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Konstantin Brenner, Roland Masson, El Houssaine Quenjel. A robust VAG scheme for a two-phase flow problem in heterogeneous porous media. International Conference on Finite Volumes for Complex Applications FVCA 2020, Jun 2020, Bergen, Norway. ⟨10.1007/978-3-030-43651-3_53⟩. ⟨hal-02476745⟩
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