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

In: Computational and Analytic Methods in Science and Engineering

Author

Listed:
  • 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)

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.

Suggested Citation

  • Luiz F. Bez & Rogério J. Marczak & Bardo E. J. Bodmann & Marco T. Vilhena, 2020. "A Boundary Integral Equation Formulation for Advection–Diffusion–Reaction Problems with Point Sources," Springer Books, in: Christian Constanda (ed.), Computational and Analytic Methods in Science and Engineering, chapter 0, pages 61-73, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-48186-5_4
    DOI: 10.1007/978-3-030-48186-5_4
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