2009 Volume 4 Issue 3 Pages 590-601
In this paper, the Cartesian grid approach with virtual flux method based on the usual incompressible Navier-Stokes equations is proposed for simulating the incompressible multiple flows with heat transfer. In this approach, the fluxes on the closest grid points to virtual boundary are estimated to satisfy the velocity, pressure and temperature conditions on the virtual boundary. First, the present method is validated in flows around a circular cylinder and a pair of circular cylinders in transverse arrangement. As a result, this approach gives the good flow fields quantitatively in comparison with the reference results. Then, the method is applied to the consolidated simulations of multiple flows with heat transfer between heated and cooling flows. Therefore, it is concluded that the present approach is very fruitful for the consolidated simulation of incompressible complicated multiple flows with heat transfer.
