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ABSTRACT
A novel immersed boundary method (IBM) for flows with thermal effects is proposed, combining high accuracy and low computational cost, provided by the Fourier pseudospectral method (FPSM), for the possibility of handling complex and nonperiodical geometries using the IBM. With focus on incompressible flow problems modeled by Navier-Stokes, mass, and energy equations, the method of manufactured solutions is used for the numerical verification of Dirichlet boundary conditions imposed via the IBM. Then, the proposed method is applied on two different 2-D cases: (1) energy transfer due to natural convection in a square cavity, and (2) an annulus between horizontal concentric cylinders nonuniformly heated. Good agreement with available data in the literature has been achieved.
Acknowledgments
The authors would like to thank to PETROBRAS, FAPEMIG, FAPEG, CAPES/PROEX, CNPq, UFU, and UFG for financial and structural support necessary to the present work development. We also acknowledge researcher Phd Márcio Ricardo Pivello, for the helpful comments and revision which improved the quality of the manuscript.