Performance and Accuracy of a Meshless Method for Laminar Natural Convection

The main objective of this article is to assess the performance of a meshless method called the diffuse approximation method (DAM). This numerical method is presented for the calculation of two-dimensional, incompressible, laminar thermal flows. The two-dimensional natural-convection problems in a square cavity and in an eccentric annulus demonstrate the accuracy and capabilities of the proposed technique for high Rayleigh numbers.