Dual Reciprocity Boundary Element Method for Steady State Convection-Diffusion-Radiation problems

Abstract

Many problems in fluid dynamics and heat transfer are defined by nonlinear equations. In this paper steady state convection-diffusion-reaction (SSCDR) equations are solved by dual reciprocity boundary element method (DRBEM). DRBEM is employed to transform the domain integrals into the boundary only integrals by employing the fundamental solution of the Laplace Equation. The linear Radial Basis Functions (RBFs) is used in the dual reciprocity technique. To verify the accuracy of the approach, the numerical results of an examples is calculated and compared with the analytical solution. The comparison demonstrates the usefulness of the approach for diffusion-dominated problems with low velocity values.