In this paper, we propose a new numerical scheme for the coupled Stokes-Darcy model with Beavers-Joseph-Saffman interface condition. We use the weak Galerkin method to discretize the Stokes equation and the mixed finite element method to the Darcy equation. A discrete inf-sup condition is proved and optimal error estimates are also derived. Numerical experiments validate the theoretical analysis.

翻译：在本文中,我们提出了与比弗斯-约瑟夫-萨夫曼界面条件结合的斯托克斯-达西混合模型的新的数字方案。我们使用弱的加勒金方法将斯托克斯方程式和混合限量元素法与达西方程式分开。一个离散的内脏条件得到了证实,还得出了最佳误差估计。数字实验验证了理论分析。