@Article{IJNAM-22-178,
author = {Wang , QinghuiHuang , Pengzhan and He , Yinnian},
title = {The Navier-Stokes-$\omega$/Navier-Stokes-$\omega$ Model for Fluid-Fluid Interaction Using an Unconditionally Stable Finite Element Scheme},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2025},
volume = {22},
number = {2},
pages = {178--201},
abstract = {<p style="text-align: justify;">In this article, for solving fluid-fluid interaction problem, we consider a Navier-Stokes-$ω$/Navier-Stokes-$ω$ model, which includes two Navier-Stokes-$ω$ equations coupled by some nonlinear interface conditions. Based on an auxiliary variable, we propose a fully discrete, decouple finite
element scheme. We adopt the backward Euler scheme and mixed finite element approximation
for temporal-spatial discretization, and explicit treatment for the interface terms and nonlinear
terms. Moreover, the proposed scheme is shown to be unconditionally stable. Then, we establish error estimate of the numerical solution. Finally, with a series of numerical experiments we
illustrate the stability and effectiveness of the proposed scheme and its ability to capture basic
phenomenological features of the fluid-fluid interaction.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2025-1009},
url = {http://global-sci.org/intro/article_detail/ijnam/23820.html}
}