An adaptive time-stepping DLN decoupled algorithm for the coupled Stokes-Darcy model

In this paper, the variable time-stepping decoupled algorithm proposed by Dahlquist, Liniger, and Nevanlinna (DLN algorithm) is used to discretize the coupled Stokes-Darcy model in time. In theory, we prove the stability and second-order convergence of DLN algorithm. Further, we combine DLN algorithm with the time adaptive algorithm to improve the computational efficiency. Numerical experiments verify the stability and second-order convergence of the DLN algorithm at any arbitrary sequence of time steps.(c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.