@Article{NMTMA-18-66,
author = {Gao , HaijunLi , Xi and Feng , Minfu},
title = {Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2025},
volume = {18},
number = {1},
pages = {66--102},
abstract = {<p style="text-align: justify;">We construct first- and second-order time semi-discretization numerical
schemes for the Cahn-Hilliard-Navier-Stokes model. This discretization scheme is
based on the energy form of the scalar auxiliary variable approach for the coupling
terms of model and pressure correction in the Navier-Stokes equations, which are
fully decoupled. Then, we apply the fully explicit forms and the two scalar auxiliary
variables to obtain stable unconditional energy over time. At the same time, we
present the error analysis for the first-order scheme and the convergence rate for all
relevant variables in different norms. Finally, numerical examples are presented to
validate the theoretical analysis.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2024-0050},
url = {http://global-sci.org/intro/article_detail/nmtma/23942.html}
}