The Finite Volume Formulation for 2D Second-Order Elliptic Problems with Discontinuous Diffusion/Dispersion Coefficients

Stefano Ferraris, Ivan Bevilacqua, Davide Canone, Davide Pognant and Maurizio Previati

Mathematical Problems in Engineering, 2012, vol. 2012, 1-23

Abstract:

We propose a finite volume method for the numerical resolution of two-dimensional steady diffusion problems with possibly discontinuous coefficients on unstructured polygonal meshes. Our numerical method is cellcentered, secondorder accurate on smooth solutions and based on a special numerical treatment of the diffusion/dispersion coefficients that makes its application possible also when such coefficients are discontinuous. Numerical experiments confirm the convergence of the numerical approximation and show a good behavior on a set of benchmark problems in two space dimensions.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:187634

DOI: 10.1155/2012/187634

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