Immersed boundary method for the simulation of flows with heat transfer

In the present paper a direct heat source scheme is proposed to let the temperature at the immersed boundary satisfy the temperature Dirichlet boundary condition. And the explicit interactive process of the direct heat source scheme called multi-direct heat source scheme is applied to ensure the satisfaction of the temperature Dirichlet boundary condition at the immersed boundary. The second-order spacial accuracy of the solver is confirmed by simulating the Taylor–Green vortices. The simulations of natural convection between concentric cylinders, and flow past a stationary circular cylinder are conducted to validate the accuracy of present method on solving heat transfer problems. And the computation of flow past a staggered tube bank with heat transfer is conducted to verify the capability of present method on solving complex geometries problems.