An Evaluation Of Boundary Element Schemes For Convection-diffusion Problems

Abstract

This paper presents a numerical evaluation of the performance of three different boundary element schemes for solving steady-state convectiondiffusion problems with variable velocity fields. Two of these schemes are based on the dual reciprocity BEM: the first uses the fundamental solution of Laplace's equation and treats the whole convective part through the DRM; the other decomposes the velocity field into an average and a perturbation, and uses the fundamental solution of the convectiondiffusion equation for constant velocity. In this case, only the perturbation is treated using a dual reciprocity approximation. The third scheme also decomposes the velocity field into an average and a perturbation, but the effects of the perturbation velocity are included through domain discretization. A comparison of the performance of the three schemes is presented for two different problems.