  In this paper, we combine the multiscale flnite element method to propose an
algorithm for solving the non-stationary Stokes-Darcy model, where the
permeability coefflcient in the Darcy region exhibits multiscale
characteristics. Our algorithm involves two steps: first, conducting the
parallel computation of multiscale basis functions in the Darcy region. Second,
based on these multiscale basis functions, we employ an implicitexplicit scheme
to solve the Stokes-Darcy equations. One signiflcant feature of the algorithm
is that it solves problems on relatively coarse grids, thus signiflcantly
reducing computational costs. Moreover, under the same coarse grid size, it
exhibits higher accuracy compared to standard flnite element method. Under the
assumption that the permeability coefflcient is periodic and independent of
time, this paper demonstrates the stability and convergence of the algorithm.
Finally, the rationality and effectiveness of the algorithm are verifled
through three numerical experiments, with experimental results consistent with
theoretical analysis.
