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http://bura.brunel.ac.uk/handle/2438/16774
Title: | The dual reciprocity boundary element formulation for convection-diffusion-reaction problems with variable velocity field using different radial basis functions |
Authors: | AL-Bayati, SA Wrobel, LC |
Keywords: | BEM;Dual reciprocity technique;Convection-diffusion-reaction;Variable velocity field;Radial basis function |
Issue Date: | 2018 |
Publisher: | Elsevier |
Citation: | International Journal of Mechanical Sciences, 2018, 145 pp. 367 - 377 |
Abstract: | 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 P´eclet 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. |
URI: | http://bura.brunel.ac.uk/handle/2438/16774 |
DOI: | http://dx.doi.org/10.1016/j.ijmecsci.2018.07.003 |
ISSN: | 0020-7403 |
Appears in Collections: | Dept of Mechanical and Aerospace Engineering Embargoed Research Papers |
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FullText.pdf | Embargoed until 02 Jul 2020 | 707.18 kB | Adobe PDF | View/Open |
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