Table of Contents
Advances in Numerical Analysis
Volume 2016, Article ID 1945958, 12 pages
Research Article

A Finite Volume-Complete Flux Scheme for a Polluted Groundwater Site

1Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, Netherlands
2Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India

Received 5 April 2016; Revised 10 July 2016; Accepted 17 July 2016

Academic Editor: Hassan Safouhi

Copyright © 2016 M. F. P. ten Eikelder et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present a model of a polluted groundwater site. The model consists of a coupled system of advection-diffusion-reaction equations for the groundwater level and the concentration of the pollutant. We use the complete flux scheme for the space discretization in combination with the -method for time integration and we prove a new stability result for the scheme. Numerical results are computed for the Guarani Aquifer in South America and they show good agreement with results in literature.