Simulation of Heat-Fluid Motion by the Vortex Method

A new vortex scheme for simulating flows involving the natural convection and the interaction between the temperature and the vorticity is presented. The creation of vorticity due to the temperature is modeled either by creating a vortex pair from a temperature particle or by changing the strength of vortices according to the vorticity equation. The diffusion velocity method is used for simulating the diffusion of the vorticity and the temperature. The vortices of negative and positive strength are separately treated in the diffusion process to avoid an unreasonably large diffusion velocity. Our results indicate that these techniques successfully simulate creation of the vorticity due to the heat, the diffusion and the convection of the temperature and the vorticity, and the interaction of them.