Computational Techniques for Simulating Natural Convection in Three-Dimensional Enclosures with Tetrahedral Finite Elements
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
This article discusses computational techniques for simulating natural convection in three-dimensional domains using finite element methods with tetrahedral elements. These techniques form a new numerical procedure for this kind of problems. In this procedure, the treatment of advection by a wave equation approach is extended to three-dimensional unstructured meshes with tetrahedra. Numerical results of natural convection of an incompressible Newtonian fluid in a cubical enclosure at Rayleigh numbers in the range to are obtained and they are in good agreement with those in literature obtained by other methods.
Keywords
Cite
@article{arxiv.math/0309030,
title = {Computational Techniques for Simulating Natural Convection in Three-Dimensional Enclosures with Tetrahedral Finite Elements},
author = {Kehinde O. Ladipo and Roland Glowinski and Tsorng-Whay Pan},
journal= {arXiv preprint arXiv:math/0309030},
year = {2025}
}