Seamless virtual boundary method for incompressible flow simulation with heat transfer

In this paper, the seamless virtual boundary method is applied to the incompressible flow analysis with heat transfer. In the seamless virtual boundary method, the forcing term is added not only on the grid points near the boundary but also on the grid points inside the boundary, in order to satisfy the velocity conditions on the virtual boundary points. Then, the smooth physical quantities can be obtained. For the heat transfer, the forcing term satisfied the temperature condition has to be added to the energy equation. First, we validate the present approach for the natural convection in square cavity. The results show that the present solutions are in good agreement with reference solution. Next, we try to apply the present approach to the flow around a heated circular cylinder. Then it is concluded that the present seamless virtual boundary method is applicable to the incompressible flow analysis with heat transfer successfully.