A Parallelizable Procedure For Contaminant
Diffusion In Waste Disposal
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.
Related Book
Other papers in this volume
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