Control volume finite element method for a benchmark validation of a natural convection in a square cavity

The formulation written in terms of the primitive variables a co-located equal-order Control-Volume based Finite Element Method (CVFEM), for a benchmark validation of natural convection in a square cavity. The computer code Fortran that have been developed in the context of this work using all forms of dimensionless equations to allow a quick and easy comparison of results with the benchmark solution, the numerical of De Vahl Davis and other works. The problem considered, is for a two-dimensional flow, for a Prantl number of 0.71 using Boussinesq approximation. The results taken into account are the stream function, velocities and heat transfer, which are obtained at Rayleigh numbers of 103, 104,105and 106.