@Article{AAMM-11-2,
author = {Jia, Hongen and Zhang, Yusha and Yu, Jiaping},
title = {Partitioned Time Stepping Method for Fully Evolutionary Navier-Stokes/Darcy Flow with BJS Interface Conditions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2019},
volume = {11},
number = {2},
pages = {381--405},
abstract = {<p style="text-align: justify;">In this report, a partitioned time stepping algorithm for Navier Stokes/Darcy model is analyzed. This method requires only solving one, uncoupled Navier Stokes and Darcy problems in two different sub-domains respectively per time step. On the interface, the simplified Beavers-Joseph-Saffman conditions are imposed with an additional assumption ${\bf u}\cdot {\bf n}_f&gt;0$ (not hold for general case but still in many situation, such as the gentle river). Under a modest time step restriction of the form $\Delta&nbsp; t\leq C$, where $C=C$ (physical parameters), we prove stability of the method and get the error estimates. Numerical tests illustrate the validity of the theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2018-0102},
url = {https://global-sci.com/article/73092/partitioned-time-stepping-method-for-fully-evolutionary-navier-stokesdarcy-flow-with-bjs-interface-conditions}
}