The efficient rotational pressure-correction schemes for the coupling Stokes/Darcy problem

In this paper, the rotational pressure-correction methods for the Stokes/Darcy system are developed and analyzed. The central advantage of these methods is a time-dependent version of domain decomposition. These methods have first-order/second-order accuracy without the incompressibility constraint of the Stokes/Darcy system. Their main feature is the implementation efficiency in that we only solve one vector-valued elliptic equation and one scalar-valued Poisson equation for the Stokes equations per time step. The unconditional stability and long time stability are established and numerical experiments are also presented to show their performance. (C) 2019 Elsevier Ltd. All rights reserved.