A finite volume method for transport of contaminants in porous media

Authors:
Enrico Bertolazzi;Gianmarco Manzini
Affiliations:
Dipartimento di Ingegneria Meccanica e Strutturale, Università di Trento, via Mesiano 77, I-38050 Trento, Italy;Istituto di Analisi Numerica IAN-CNR, via Ferrata 1, I-27100, Pavia, Italy
Venue:
Applied Numerical Mathematics - Special issue: Applied scientific computing - Grid generation, approximated solutions and visualization
Year:
2004

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Abstract

A cell-centered finite-volume method is proposed to solve the unsteady reactive diffusive transport of a contaminant in porous media. Two theoretical properties of the analitical solution, namely non-negativity and maximum principle, are mentioned and their implication on the approximation method are discussed.