Abstract
In this paper, the numerical simulations of incompressible flow with heat transfer are presented by using the seamless immersed boundary method on the Cartesian grid. In the seamless immersed 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 (solid region) in order to satisfy the velocity boundary condition. Then, the seamless physical quantities, e.g., the pressure, can be obtained, so that the characteristic quantities on the boundary can be estimated precisely. The present seamless immersed boundary method is applied to the energy equation. Then, the temperature satisfying the boundary condition can be easily obtained as well as velocity on the Cartesian grid. The present method is applied to flows around an object with the moving boundary and heat transfer.
