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Fitted finite volume positive difference scheme for a stationary model of air pollution

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Abstract

A new approach is proposed for the numerical solution of boundary value one-dimensional problem of advection-diffusion equation which arises, among others, in air pollution modeling. Since the problem is posed in an unbounded interval we use a log-transformation to confine the computational region. We discuss the well-posedness of the new problem and the properties of its solution. We derive a positive finite volume difference scheme. Some results from computational experiments are presented.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria

    Tatiana Chernogorova

  2. Faculty of Natural Sciences and Education, University of Rousse, Rousse, Bulgaria

    Lubin Lubin Vulkov

Authors
  1. Tatiana Chernogorova
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  2. Lubin Lubin Vulkov
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Correspondence to Tatiana Chernogorova.

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Chernogorova, T., Lubin Vulkov, L. Fitted finite volume positive difference scheme for a stationary model of air pollution. Numer Algor 70, 171–189 (2015). https://doi.org/10.1007/s11075-014-9940-y

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  • DOI: https://doi.org/10.1007/s11075-014-9940-y

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