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