TY - JOUR
T1 - Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows
AU - Zhao , Xin
AU - Chen , Yanping
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 710
EP - 734
PY - 2018
DA - 2018/10
SN - 10
DO - http://doi.org/10.4208/aamm.OA-2017-0170
UR - https://global-sci.org/intro/article_detail/aamm/12232.html
KW - Darcy flow, Navier-Stokes equations, finite element method, mortar element.
AB - <p style="text-align: justify;">In this paper, we investigate the nonlinear system of Navier-Stokes and Darcy flows coupled by the Beavers-Joseph-Saffman law on the interface. The well-posedness of the weak and numerical solutions are established. Mortar elemen method is introduced to solve the coupled model. Error estimates are derived for the proposed method. We adopt an iterative algorithm to solve the nonlinear scheme generated by the coupled system. Numerical example is provided to verify the theoretical analysis.</p>