@Article{IJNAM-21-850,
author = {Zhao , MintingGao , JiaweiAL Mahbub , Md. Abdullah and Chen , Dan},
title = { An Efficient Rotational Pressure-Correction Scheme for the 2D/3D Navier-Stokes/Darcy Coupling Problem},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2024},
volume = {21},
number = {6},
pages = {850--878},
abstract = {<p style="text-align: justify;">This article proposes and analyzes a rotational pressure-correction method for the
Navier-Stokes/Darcy (NSD) system with Beavers-Joseph-Saffman-Jones interface conditions. This
method mainly solves the Navier-Stokes/Darcy problem in two steps. The first step is the viscous step. The intermediate velocity can be obtained after the pressure gradient is explicitly
processed by the algorithm. The second step is the projection step, which first projects the intermediate velocity onto a divergence-free space, and then corrects the velocity and pressure. The
main advantage of these methods is that they have first/second order accuracy and do not have
the incompressibility constraint of NSD system. For solving the Navier-Stokes equations, each
time step requires only one vector-valued elliptic equation and one scalar-valued Poisson equation. Therefore, this method has high computational efficiency. Compared with other traditional
related methods, this method is no longer affected by any artificial boundary conditions, and can
achieve the optimal convergence order. Finally, unconditional stability and long time stability are
established. 2D/3D numerical experiments are presented to illustrate the features of the proposed
method and verify the results of the theoretical analysis.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2024-1034},
url = {http://global-sci.org/intro/article_detail/ijnam/23463.html}
}