A finite volume-complete flux scheme for a polluted groundwater site

Marco ten Eikelder, J.H.M. Thije Boonkkamp, ten, M.P.T. Moonen, B.V. Rathish Kumar

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Abstract

In this paper 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. Key words: advection-diffusion-reaction equation, finite volume method, complete flux scheme, stability analysis and groundwater flow.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages14
Publication statusPublished - 2015

Publication series

NameCASA-report
Volume1511
ISSN (Print)0926-4507

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  • Cite this

    ten Eikelder, M., Thije Boonkkamp, ten, J. H. M., Moonen, M. P. T., & Rathish Kumar, B. V. (2015). A finite volume-complete flux scheme for a polluted groundwater site. (CASA-report; Vol. 1511). Technische Universiteit Eindhoven.