A decoupling method with different subdomain time steps for the non-stationary Navier- Stokes/Darcy model is formulated and analyzed. The method has asynchronous time steps, which adopt small time steps in the fluid r...A decoupling method with different subdomain time steps for the non-stationary Navier- Stokes/Darcy model is formulated and analyzed. The method has asynchronous time steps, which adopt small time steps in the fluid region and large time steps in the porous region. It saves relatively large amount of CPU time. Stability and convergence of the method are proved. The numerical results are presented to illustrate the features of the proposed method.展开更多
基金The authors would like to thank the referees for helpful comments and suggestions, which lead to substantial improvements of the presentation.The work was Supported by the National Nature Foundation of China (NO.11401422), the Provincial Natural Science Foundation of Shanxi (NO.2015011001, 2014011005-4),China Postdoctoral Science Foundation funded project (No.2015M582336)
文摘A decoupling method with different subdomain time steps for the non-stationary Navier- Stokes/Darcy model is formulated and analyzed. The method has asynchronous time steps, which adopt small time steps in the fluid region and large time steps in the porous region. It saves relatively large amount of CPU time. Stability and convergence of the method are proved. The numerical results are presented to illustrate the features of the proposed method.