Article
A boundary element numerical scheme for the two-dimensional convection–diffusion equation
Author/s | Romero Pérez, Luis Miguel
García Benítez, Francisco |
Department | Universidad de Sevilla. Departamento de Ingeniería y Ciencia de los Materiales y del Transporte |
Publication Date | 2008-12 |
Deposit Date | 2024-09-23 |
Published in |
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Abstract | In this study, the theoretical and numerical fundamentals of BIEM techniques for the two-dimensionalconvection–diffusion problem are presented. After an extended presentation of the basic integral formu-lation, the ... In this study, the theoretical and numerical fundamentals of BIEM techniques for the two-dimensionalconvection–diffusion problem are presented. After an extended presentation of the basic integral formu-lation, the discretizing and iterative processes for its resolution are introduced. Interesting remarks ongeneral expressions versus previously published particularized results are worth mentioning. A numericalsolution scheme is provided, which has been completely developed and designed to the physical problemposed. A novel scheme based in the simultaneous solving of the potential and the gradient of the potentialboundary integral equations is included. A diversity of problems is tested to prove the possibilities of themethod. |
Citation | Romero, L.M. y Benítez, F.G. (2008). A boundary element numerical scheme for the two-dimensional convection–diffusion equation. International Journal for Numerical Methods in Engineering, 76 (13), 2063-2090. https://doi.org/10.1002/nme.2391. |
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