Convergence analysis of a vertex-centered finite volume scheme for a copper heap leaching model

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URI:
https://hdl.handle.net/10925/857
Carrera:
Plan Común Ingeniería
Facultad:
Facultad de Ingeniería
Fecha de publicación:
2012-03-07
Datos de publicación:
Mathematical Methods in the Applied Sciences, Vol.33, N°9, 1059-1077, 2010
Temas:
Ingeniería matemática
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Resumen:
In this paper a two-dimensional solute transport model is considered to simulate the leaching of copper ore tailing using sulfuric acid as the leaching agent. The mathematical model consists in a system of differential equations: two diffusion–convection-reaction equations with Neumann boundary conditions, and one ordinary differential equation. The numerical scheme consists in a combination of finite volume and finite element methods. A Godunov scheme is used for the convection term and an P1-FEM for the diffusion term. The convergence analysis is based on standard compactness results in L2. Some numerical examples illustrate the effectiveness of the scheme.

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