Convergence analysis of a vertex‐centered finite volume scheme for a copper heap leaching model | Zendy

Cariaga Emilio | Zendy; Concha Fernando | Zendy; Pop Iuliu Sorin | Zendy; Sepúlveda Mauricio | Zendy

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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.

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