TY - JOUR
T1 - A decoupled scheme with leap-frog multi-time step for non-stationary Stokes–Darcy system
AU - Li, Rui
AU - Chen, Jie
AU - Chen, Zhangxin
AU - Gao, Yali
N1 - Publisher Copyright:
© 2017 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2018/2/1
Y1 - 2018/2/1
N2 - 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.
AB - 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.
KW - Coupled Stokes–Darcy flow
KW - backward Euler-leap frog scheme
KW - different time step
KW - finite element method
KW - partitioned methods
UR - http://www.scopus.com/inward/record.url?scp=85013751422&partnerID=8YFLogxK
U2 - 10.1080/00207160.2017.1290431
DO - 10.1080/00207160.2017.1290431
M3 - Article
AN - SCOPUS:85013751422
SN - 0020-7160
VL - 95
SP - 361
EP - 381
JO - International Journal of Computer Mathematics
JF - International Journal of Computer Mathematics
IS - 2
ER -