Abstract
This paper presents a boundary element formulation employing a penalty function technique for steady natural convection problems. By regarding the convective and buoyancy force terms as pseudo-body forces, the standard boundary element analysis of elastostatics can be extended to solve the Navier-Stokes equations. In a similar manner, the standard boundary element analysis of potential problems can be applied to the energy transport equation. Emphasis is placed on accurate evaluation of the boundary integrals resulting from the pseudo-source terms. A self-adaptive coordinate transformation technique proposed by Telles is used for such purpose. Numerical computation is carried out for some sample problems in two dimensions whereby the usefulness of the proposed solution procedure is demonstrated.
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