A DECOUPLING METHOD WITH DIFFERENT SUBDOMAIN TIME STEPS FOR THE NON-STATIONARY NAVIER-STOKES/DARCY MODEL  

作　　者：Huiyong Jia Peilin Shi Kaitai Li Hongen Jia 

机构地区：[1]College of Mathematics, Taiyuan University of Technology, 030024, Tai'yuan, China [2]College of Mathematics, Xi'an Jiaotong University, 710049 Xi'an, China [3]School of Mathematics and Computational Science, Xiangtan University, 411105, Xiang'tan, China

出　　处：《Journal of Computational Mathematics》2017年第3期319-345,共27页计算数学（英文）

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）

摘　　要：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.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.

关 键 词：Decoupling method Navier-Stokes/Darcy model Asynchronous time steps. 

分 类 号：O[理学]