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Convergence analysis of a vertex‐centered finite volume scheme for a copper heap leaching model
Author(s) -
Cariaga Emilio,
Concha Fernando,
Pop Iuliu Sorin,
Sepúlveda Mauricio
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1234
Subject(s) - finite volume method , mathematics , ordinary differential equation , finite element method , convection–diffusion equation , partial differential equation , godunov's scheme , numerical analysis , mathematical analysis , differential equation , mechanics , thermodynamics , physics
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. Copyright © 2009 John Wiley & Sons, Ltd.