Quasi-dual reciprocity boundary-element method for incompressible flow: Application to the diffusive-advective equation

This work presents a new boundary-element method formulation called quasi-dual reciprocity formulation for heat transfer problems, considering di usive and advective terms. The present approach has some characteristics similar to those of the so-called dual-reciprocity formulation; however, the mathematical developments of the quasi-dual reciprocity approach reduces approximation errors due to global domain interpolation. Some one- and two-dimensional examples are presented, the results being compared against those obtained from analytical and dual-reciprocity formulations. The method convergence is evaluated through analyses where the mesh is successively re ned for various Peclet numbers, in order to assess the e ect of the advective term