Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 390, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cam.2020.113329
Keywords
Second-order temporal method; Fractional time-stepping method; Stokes/Darcy system; Stability; Numerical experiments
Categories
Funding
- NSF of China [11771259]
- special support program to develop innovative talents in the region of Shaanxi province
- innovation team on computationally efficient numerical methods based on new energy problems in Shannxi province
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A second-order fractional time-stepping method for a Stokes/Darcy system is developed in this paper, simplifying the equation solving process per time step and achieving high accuracy without the need for an incompressibility constraint. The method's stability is established and its performance is demonstrated through numerical experiments.
In this paper, a second-order fractional time-stepping method for a Stokes/Darcy system is developed and analyzed. The main feature of this fractional time-stepping method is that we only solve one vector-valued elliptic equation and one scalar-valued Poisson equation for the velocity and pressure of the Stokes equations per time step. Moreover, its central advantage is a time-dependent version of domain decomposition, which has second-order accuracy without requiring an incompressibility constraint for the Stokes equations. The stability of the presented method is established, and numerical experiments are also presented to show its performance. (C) 2020 Elsevier B.V. All rights reserved.
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