Radial basis function-generated finite differences solution of natural convection problem in 3D Available to Purchase

The goal of the paper is to present the complete meshless solution procedure, i.e. without meshing or using the regular nodes in any part of the solution procedure, for a thermo-fluid problem governed by Navier-Stokes and heat equations. The core of the solution procedure is an approximation of differential operators with Radial basis function-generated finite differences (RBF- FD) meshless method, iterative pressure-velocity coupling, and implicit time stepping. The flexibility of the presented solution procedure and its implementation is demonstrated by solving a natural convection problem in 2D and 3D irregular domains on scattered nodes. The results, presented in terms of maximal cross-section velocities, are compared against available published data, with good agreement achieved.