In this paper, we develop a partitioned scheme with multiple-time-step technique for the nonstationary dual-porosity-Stokes model. The proposed partitioned scheme allows different time steps in the different subdomains of the dual-porosity-Stokes model: conduits/macrofractures, microfractures, and matrix. Under a time step restriction which depends on the physical parameters of the model, we derived the stability of the partitioned scheme. The error estimates of this scheme are also provided. The numerical experiments confirm the theoretical analysis and demonstrate the proposed scheme is reliable, applicable, and consumes less CPU time.

中文翻译：

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非平稳双孔隙Stokes问题的采用多步法的分区方案

在本文中，我们为非平稳双孔隙度-Stokes模型开发了一种采用多时步技术的分区方案。提出的分区方案允许在双孔隙度-斯托克斯模型的不同子域中使用不同的时间步长：导管/宏观裂缝，微裂缝和基质。在取决于模型的物理参数的时间步长限制下，我们导出了分区方案的稳定性。还提供了该方案的误差估计。数值实验证实了理论分析，并证明了所提出的方案可靠，适用并且消耗更少的CPU时间。