Application of an all-speed flow algorithm to heat transfer problems

A fully implicit control-volume-based finite element method that solves flow at all speeds is extended and applied to fluid flow problems involving heat transfer. The method is verified by testing on both free and forced convection problems. Two heat transfer benchmark problems are chosen and solved for different Rayleigh or Reynolds numbers and include mesh refinement studies. The formulation permits solving the problems as either compressible or incompressible flows. The results of the two formulations are compared and discussed with respect to each other and those of the benchmark solutions.