@Article{EAJAM-15-591,
author = {Wang , TaoLiu , Tiegang and Wang , Kun},
title = {An HOC Finite Difference Scheme for the Steady Natural Convection Problem Based on the Velocity-Vorticity Method},
journal = {East Asian Journal on Applied Mathematics},
year = {2025},
volume = {15},
number = {3},
pages = {591--614},
abstract = {<p style="text-align: justify;">A high-order compact finite difference scheme for solving natural convection
problems using velocity-vorticity formulation of the incompressible Navier-Stokes equations is presented. The basic idea of the method is to regard all controlling equations as
the Poisson-type. We construct a fourth-order finite difference scheme for the velocity-vorticity equation based on the nine-point stencils for each Poisson-type equation. Next
we give an example with an exact solution to verify that the scheme has the fourth-order
accuracy. Finally, numerical solutions for the model problem of natural convection in
a square heating cavity are presented to show the reliability and effectiveness of this
method.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2024-056.270624},
url = {http://global-sci.org/intro/article_detail/eajam/24157.html}
}