Applications of meshless methods in fluid flow and heat transfer problems

A review of meshless methods applied in computational fluid dynamics and heat transfer fields in recent years was presented. This paper described the applications of numerical simulation of meshless methods in heat conduction, radiation and fluid flow problems. In addition, a special attention was paid on the treatment of the convective term of the incompressible fluid flow. In this paper, our results in heat conduction and fluid flow problems were also briefly introduced. Our investigation results show that meshless methods have better computational precision in computing heat conduction problems of irregular domain than the finite volume method, but they need more computational time. At the same time, meshless methods need to be further developed for solving incompressible fluid flow problems. Meshless methods should construct better discretization scheme to improve computational precision in dealing with convection-dominated problems, and the pressure term needs special treatment to overcome oscillating pressure field.