A Discrete Duality Finite Volume Method for Coupling Darcy and Stokes Equations

Moroccan Journal of Pure and Applied Analysis

Rhoudaf M.¹  Staïli N.¹ 

[1] Faculté des Sciences, Université Moulay Ismail, Maroc.;

关键词: stokes;    darcy;    coupled problem;    finite volume method;    schwarz;    domain decomposition method;   

DOI  :  10.2478/mjpaa-2019-0005

来源: DOAJ

【 摘 要 】

We present a general finite volume method to solve a coupled Stokes-Darcy problem, we propose two domains corresponding to fluid region and porous region with a physical intersection. At the contact interface between the fluid region and the porous media we impose two conditions; the first one is the normal continuity of the velocity and the second one is the continuity of the pressure. Furthermore, due to the lack of information about both the velocity and the pressure on the interface, we will use Schwarz domain decomposition. In Darcy equations, the tensor of permeability will be considered as variable, since it depends on both the properties of the porous medium and the viscosity of the fluid. Numerical examples are presented to demonstrate the efficiency of the proposed method.

【 授权许可】

Unknown