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Convergence analysis of a vertex‐centered finite volume scheme for a copper heap leaching model |
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| Authors: | Emilio Cariaga Fernando Concha Iuliu Sorin Pop Mauricio Sepúlveda |
| Affiliation: | 1. Department of Mathematical and Physical Sciences, UCTemuco, Ciencias Fisicas, Temuco, Region de la Araucania, Chile;2. Department of Metallurgical Engineering, University of Concepción, Concepción, Region del Bio‐Bio, Chile;3. CASA, Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, Netherlands;4. CI2 MA, Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción, Region del Biobio, Chile |
| Abstract: | 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. Copyright © 2009 John Wiley & Sons, Ltd. |
| Keywords: | compositional flow model porous media finite volume method heap leaching degenerate parabolic equation convection– diffusion‐reaction system |