the Stokes and Brinkman equations

yang

Hello, everyone. I want to simulate a problem in which there exists a combination of open and porous regions involves the Stokes and Brinkman equations.K permeability tensor is about 10-12 m2. What are the interface conditions between the open and porous media? I know it must satify the continuity of the velocity and continuity of the normal component of stress tensor from some paper.U(open region)=<'U'>(porous media) ,or U(open region)=<'U'>(porous media)/porosity in the interface? and what about the stress conditions? I try to use SIMPLE method. What should I implement in SIMPLE method? Who can give me some advice about it? Thanks in advance.