On the numerical solution of a mathematical model for the concrete carbonation with a non-uniform diffusivity coefficient

Authors

  • Marcos Zambrano Fernandez Departamento Académico de Ciencias Básicas y Afines, Universidad Nacional de Barranca, Lima, Perú.

DOI:

https://doi.org/10.17268/sel.mat.2021.02.01

Keywords:

concrete carbonation, reaction-diffusion problem, finite difference method, volume finite method.

Abstract

In this research, a mathematical model to determine the concentration of concrete carbonation is investigated using several numerical schemes which provide the distribution of carbonation in a concrete region.

This model considers an Arrhenius-type relation which implies a non-uniform diffusion coefficient for a

reaction- diffusion problem in the model. To perform the computations of the model investigated, the finitedifferences and finite-volume methods are employed which are implemented in the mathematical software GNU-Octave and the finite-volume software OpenFOAM respectively.

References

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Published

2021-12-27

How to Cite

Zambrano Fernandez, M. (2021). On the numerical solution of a mathematical model for the concrete carbonation with a non-uniform diffusivity coefficient. Selecciones Matemáticas, 8(02), 218-227. https://doi.org/10.17268/sel.mat.2021.02.01