Abstract
In this chapter, the seamless virtual boundary method for the complicated incompressible flow simulation is presented. In order to satisfy the velocity conditions on the virtual boundary points, the forcing term is added not only on the grid points near the boundary but also on the grid points inside the boundary in the seamless virtual boundary method, so that the smooth physical quantities can be obtained. In the case with heat transfer, the additional heat flux term is considered in the energy equation. The flow around a heated circular cylinder for the heat transfer problem and the flow around a swimming fish model for the complicated moving boundary problem are considered. The results show that the present seamless virtual boundary method is very promising for the numerical simulation of incompressible flows with the heat transfer, complicated geometry and moving boundary.
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