Stability and convergence of some novel decoupled schemes for the non-stationary Stokes-Darcy model

作者：Zhang, Tong^*; Jin, Jiaojiao

来源：Advances in Difference Equations, 2017, 2017(1): 42.

DOI：10.1186/s13662-017-1092-7

• Stokes equations
• Darcy's law
• multimodeling problems
• decoupled scheme

This paper considers two kinds of novel decoupled algorithms for the non-stationary Stokes-Darcy model. In this way, the considered problem is decoupled into one time-dependent Stokes equations and one linear parabolic equation. For the two algorithms, we establish the stability and the optimal error estimates. Furthermore, the existing result in Mu and Zhu ( Math. Comput. 79: 707-731, 2010) can be improved to the optimal order O(Delta t) following our proof. Finally, some numerical experiments are conducted to validate the established theoretical results.

• 出版日期2017-2-7
• 单位河南理工大学