IMPLEMENTATION AND VERIFICATION FOR FLOWS WITH HEAT TRANSFER ON THE IMERSPEC METHODOLOGIES

Denise Kinoshita¹; Felipe P. Mariano¹; Leonardo de Queiroz Moreira¹; Aristeu Silveira Neto¹

¹ Universidade Federal de Uberlândia

Resumo

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 Mariano et al. (2010). A new model for boundaries conditions of first, second and third were developed, implemented and verified, using synthesized solutions for Navier-Stokes and energy equation. Preliminary results are presented in the present paper.

Palavras-chave: boundary condition; Fourier pseudo-spectral method; immersed boundary method; energy equation