Computational Techniques for Simulating Natural Convection in Three-Dimensional Enclosures with Tetrahedral Finite Elements

2003/09/02 by Kehinde O. Ladipo, Roland Glowinski, Ladipo, Kehinde O. +3
Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.math/0309030

openalex publication_date 2003/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 10³ to 10 ⁶ are obtained and they are in good agreement with those in literature obtained by other methods.

Related

• Numerical Study of Laminar and Turbulent Natural Convection from a Stack of Solid Horizontal Cylinders
• Computational modeling of magnetoconvection: effects of discretization method, grid refinement and grid stretching
• A Computational Simulation of Steady Natural Convection in an H-form\n Cavity
• New Higher-Order Super-Compact Finite Difference Scheme to Study Three-Dimensional Natural Convection and Entropy Generation in Non-Newtonian Fluids
• The "Sphered Cube": A New Method for the Solution of Partial Differential Equations in Cubical Geometry