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

Hassan Zakerdoost^1, and Hassan Ghassemi¹

¹Department of Ocean Engineering, Amirkabir University of Technology, Tehran, Iran

Cite this paper:
Hassan Zakerdoost and Hassan Ghassemi. Dual Reciprocity Boundary Element Method for Steady State Convection-Diffusion-Radiation problems. International Journal of Partial Differential Equations and Applications. 2014; 2(4):68-71. doi: 10.12691/ijpdea-2-4-2

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.

Keywords:
fluid dynamics convection-diffusion equation; dual reciprocity method; radial functions

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