Journal
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
Volume 43, Issue 1, Pages -Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40430-020-02726-3
Keywords
Diffusion-advection equation; Pollutant dispersion; Spatially variable velocity field; BEM
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This work presents a boundary element method formulation for solving diffusion-advection problems, which shows good agreement with analytical solutions and results from finite element methods according to comparisons.
This work presents a boundary element method formulation for the solution of the diffusion-advection problem. The formulation, developed for two-dimensional problems, for non-isotropic media, considers a spatially variable velocity field. The only way to deal with such a kind of problem is employing a steady-state fundamental solution. Consequently, the basic BEM equation presents one domain integral related to the velocity components, and another one related to the time derivative of the variable of interest, which is approximated using a backward finite difference scheme. BEM results are compared with an available analytical solution in the first part of the first example, and with the results provided by a finite element method formulation, taken as reference ones, in the second part of the first example and in the second example. From the comparisons, one can observe a good agreement between the results furnished by the proposed formulation and the analytical and reference solutions.
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