Istituto di Matematica Applicata e Tecnologie Informatiche     
Bertolazzi E., Gallo C., Manzini G. A Finite Volume Method for Transport of Contaminants in Porous Media. Preprint ercim.cnr.ian//2002-1288, 2002.
A second order cell-centered Finite-Volume method is proposed to solve the unsteady reactive diffusive transport of a contaminant in porous media. The method is based on a linear reconstruction that maintains the approximate cell-average values. The reconstruction is combined with an appropriate slope limiter to prevent the formation of spurious oscillations in the convection-dominated case. The theoretical convergence rate is investigated on a steady model problem, and the preliminar results show that the method is promising in the numerical simulation of more complex groundwater flow problems.
Subject Contaminant Transport, Finite Volumes, Least Square Reconstructions

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