On the merging of immersed boundary and pseudo-spectral fourier methodologies for flows with heat transfer

Abstract

Paper presented at the 9th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Malta, 16-18 July, 2012.A new numerical methodology combining Fourier pseudo- spectral and immersed boundary methods - IMERSPEC has been developed for fluid flow problems modeled using the Navier-Stokes, mass and energy equations, for incompressible flows. The numerical algorithm consists in a Fourier pseudo- spectral methodology using the collocation method, where every kind of thermal boundary condition can be modeled using an immersed boundary method (Multi Direct Forcing Method). The IMERSPEC methodology was presented by [7]. The formulation for first (Dirichlet), second (Neumann) and third (Robin) kind of boundary condition for energy equation were developed and verified. Preliminary results are presented in the present paper.