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Discontinuous finite volume method for compressible miscible displacement problems in porous media

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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.… Click to show full abstract

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.

Keywords: discontinuous finite; finite volume; compressible miscible; equation; miscible displacement; porous media

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019

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