A Boundary Integral Equation Formulation for Advection–Diffusion–Reaction Problems with Point Sources

Luiz F. Bez, Rogério J. Marczak (), Bardo E. J. Bodmann () and Marco T. Vilhena ()
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Luiz F. Bez: Federal University of Rio Grande do Sul
Rogério J. Marczak: Federal University of Rio Grande do Sul
Bardo E. J. Bodmann: Federal University of Rio Grande do Sul
Marco T. Vilhena: Federal University of Rio Grande do Sul

Chapter Chapter 4 in Computational and Analytic Methods in Science and Engineering, 2020, pp 61-73 from Springer

Abstract: Abstract This paper presents a boundary integral equation formulation for two dimensional, steady-state advection–diffusion–reaction problems with constant coefficients and point sources. The boundary and the variables are discretized with continuous linear elements. Comparison between the findings of the present work and analytical results shows good agreement as well as stability for a wide range of Peclet numbers. The dispersion concentration profile caused by a point source is simulated in a rectangular domain and for a set of different Peclet numbers.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-48186-5_4

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DOI: 10.1007/978-3-030-48186-5_4

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