Uma metodologia numérico-analítica aplicada a problemas transparentes de transporte de contaminante

Abstract

The processes which move contaminants through the soil may be expressed by mathematical models. They are based on the integration of the transport equation using specific contour conditions for the system of interest. However, their applicability is limited due to instability and numerical oscillation problems, which may occur depending on the relationship between the time interval chosen and the space between the mesh nodes. This study proposes a numerical-analytic methodology for one-dimensional transient contaminant transport problems. The purpose of the study is to present a new methodology that can reduce numerical instability and the oscillations found in the traditional numerical method. This is a mixed method, numerical in relation to space and analytic in relation to time. The study used a one-dimensional theoretical model to verify the nu merical-analytic solution to the problem of contaminant transport and the finite elements method and the analytic solution of the transport equation to the theoretical model were applied to validate the results. They validate the numerical-analytic methodology, since the curves obtained using the numerical-analytic methodology, finite element method and analytic solution are not very different.