A Finite Volume-Complete Flux Scheme for a Polluted Groundwater Site. (24th August 2016)

• Record Type: Journal Article
• Authors: Eikelder, M. F. P. ten; Boonkkamp, J. H. M. ten Thije; Moonen, M. P. T.; Kumar, B. V. Rathish
• Other Names: Safouhi Hassan Academic Editor.
• Is Part Of: Advances in numerical analysis. Volume 2016(2016)
• Publication Date: 2016-08-24
• Subjects: Numerical analysis -- Periodicals; Numerical analysis; Periodicals; Electronic journals; 518
• DOI: 10.1155/2016/1945958
• Languages: English
• ISSNs: 1687-9562

Abstract

Abstract : 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 theϑ -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.