Convergence analysis of a vertex-centered finite volume scheme for a copper heap leaching model
✍ Scribed by Emilio Cariaga; Fernando Concha; Iuliu Sorin Pop; Mauricio Sepúlveda
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 562 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1234
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✦ Synopsis
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 L 2 . Some numerical examples illustrate the effectiveness of the scheme.