A decoupled stabilized finite element method for the dual-porosity-Navier-Stokes fluid flow model arising in shale oil

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.

Automated summary

In this paper, the decoupled stabilized finite element method for the dual-porosity-Navier-Stokes model is considered, which couples the free flow region and the microfracture-matrix system using four interface conditions. The method is decoupled in two levels, dividing the coupling problem into three subproblems in a non-iterative manner to improve computational efficiency. The stability and convergence of the decoupling scheme are also analyzed, and theoretical results are illustrated through numerical experiments.