Freshwater of good quality is a pre-requisite for social and economic development
of a given region. Paradoxically, this same development is normally responsible for the
pollution of their water sources, through domestic or industrial waste dumping without
treatment, or through agricultural activities. In this way, the monitoring and the
management of that sources are extremely important for the wellbeing of the people
living in that region. Among the possible tools to auxiliary this management is the
computational simulation of pollutant transport in the hydro medium. In this context,
this work presents a computational procedure for the solution of the 2D advectiondiffusion-
reaction equation, which is the basis for all the mass transport models. This
process consists in the union of the finite elements and finite difference methods in the
discretization of the spatial and temporal components, respectively. This methodology
was evaluated with the help of tests with synthetic and real data. First one considered
the case of mass transport by pure advection to ensure its stability in cases where the
classical formulations fail. Second test simulated the transport of a hypothetical
pollutant in a piece of a river and showed the correct effect of the drag due to advection
and spreading due to diffusion. The last test evaluated the transport of total phosphorus
in Agua Preta Lake from the pumped water of the Guama river and point sources
located at the margins of the reservoir. The result of the simulation showed the potential
of the algorithm to deal with cases closer to the reality.
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