In this paper, we consider the decoupled stabilized finite element method for the dual‐porosity‐Navier–Stokes model coupling the free flow region and the microfracture‐matrix system by using four interface conditions on the interface. The stabilized finite element method is decoupled in two levels, and it allows the coupling problem to be divide into three subproblems in a non‐iterative manner, which improves the computational efficiency. In addition, the stability and convergence of the decoupling scheme are also analyzed. Finally, the theoretical results are illustrated by some numerical experiments.

中文翻译：

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页岩油中双孔隙度Navier-Stokes渗流模型的解耦稳定有限元方法

在本文中，我们通过在界面上使用四个界面条件，将自由流动区与微裂缝矩阵系统耦合的双孔隙度Navier-Stokes模型考虑了解耦稳定有限元方法。稳定有限元方法分两个级别解耦，它允许将耦合问题以非迭代方式分为三个子问题，从而提高了计算效率。此外，还分析了解耦方案的稳定性和收敛性。最后，通过一些数值实验说明了理论结果。