Journal
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Volume 145, Issue -, Pages 367-377Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2018.07.003
Keywords
BEM; Dual reciprocity technique; Convection-diffusion-reaction; Variable velocity field; Radial basis function
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Funding
- Ministry of Higher Education and Scientific Research of Iraq (Al-Nahrain University)
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This paper presents a dual reciprocity boundary element method (DRBEM) formulation for the solution of steady-state convection-diffusion-reaction problems with variable velocity field at moderately high Peclet number. This scheme is based on utilising the fundamental solution of the convection-diffusion-reaction equation with constant coefficients. In this case, we decompose the velocity field into an average and a perturbation, with the latter being treated using a dual reciprocity approximation to convert the domain integrals arising in the boundary element formulation into equivalent boundary integrals. A proposed approach is implemented to treat the convective terms with variable velocity, for which the concentration is expanded as a series of functions. Four numerical experiments are included with available analytical solutions, to establish the validity of the approach and to demonstrate the efficiency of the proposed method.
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