Author(s)

A. S. Francisco & J. A. de Castro

Abstract

The contaminant transport problem is typically modeled by advection-diffusion equations. In this paper we apply a parallelizable iterative procedure to approximate the solution of the diffusion term of such equations. The spatial discretization is done by using mixed finite elements, and the resulting algebraic problems are handled by a domain decomposition procedure. This procedure permits one to implement the algorithm in distributed machines in order to save on computer memory and execution time. Numerical results are compared with experimental, which indicate that the numerical procedure is accurate and very efficient in a computational point of view. Keywords: contaminant transport, parallelizable procedure, mixed finite elements, porous medium. 1 Introduction The contaminant transport throughout the soil in waste disposal has been reasonably modeled considering the mechanisms of sorption, diffusion and advection of pollutants. We propose in this paper to investigate such transport taking into account the kinetic parameters of mass transfer that occur simultaneously along with the transport mechanisms. Here, we apply the parallelizable computational technique as an efficient numerical solver for resolution of the governing equation. Contaminant transport is typically modeled by advection-diffusion equations. Pinto [1] developed a model that realizes simulations of environment impacts caused by deposition of solid waste in the soil. This model has considered the molecular diffusion as the main mechanism of contaminant transport in this

Keywords

contaminant transport, parallelizable procedure, mixed finite elements, porous medium.