Abstract
In this paper, an Eulerian–Lagrangian boundary element method (ELBEM) is proposed by the combination of the Eulerian–Lagrangian method and boundary element method for the solution of advection–diffusion problems. Based on the concept of Eulerian–Lagrangian method (ELM), the formulation of ELBEM and its associated fundamental solution is obtained for the advection–diffusion equation. Combining ELM and BEM makes it easier to handle the variable velocity field. The ELBEM model performs well for both advection-dominated and diffusion-dominated flow fields. To verify the feasibility and accuracy of the ELBEM, the model is applied to different case studies of advection–diffusion problems and the analytical solutions are compared. Fairly accurate results are obtained in all the case studies for the entire range of Peclet numbers, from very small to infinite with less oscillations, numerical dispersion and diffusion problems.
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