The Darcy problem with porosity depending exponentially on the pressure

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:398

Article

Birhanu, Zerihun Kinfe¹  Mengesha, Tadele²  Salgado, Abner J.² 

[1] Hawassa Univ, Dept Math, Awasa, Ethiopia

[2] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

关键词: Porous media flow;    Darcy equations;    Finite elements;   

DOI  :  10.1016/j.cam.2021.113642

来源: Elsevier

【 摘 要 】

We consider the flow of a viscous incompressible fluid through a porous medium. We allow the permeability of the medium to depend exponentially on the pressure and provide an analysis for this model. We study a splitting formulation where a convection diffusion problem is used to define the permeability, which is then used in a linear Darcy equation. We also study a discretization of this problem, and provide an error analysis for it. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free