A decoupled scheme with leap-frog multi-time step for non-stationary Stokes–Darcy system

Rui Li, Jie Chen, Zhangxin Chen*, Yali Gao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, a multiple-time-step decoupled algorithm for a non-stationary Stokes–Darcy problem is proposed and investigated. Under a modest time step restriction of physical parameters and the time step proportion, we give the stability analysis and convergence analysis of the decoupled scheme with different time step in fluid and porous subregions. Finally, a series of numerical experiments are provided to illustrate the accuracy, efficiency, and stability of the presented method for the coupled problem with the Beavers–Joseph–Saffman–Jones interface conditions.

Original languageEnglish
Pages (from-to)361-381
Number of pages21
JournalInternational Journal of Computer Mathematics
Issue number2
Publication statusPublished - 1 Feb 2018
Externally publishedYes


  • Coupled Stokes–Darcy flow
  • backward Euler-leap frog scheme
  • different time step
  • finite element method
  • partitioned methods

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