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Well-Balanced Finite Volume Schemes for Pollutant Transport by Shallow Water Equations on Unstructured Meshes

Benkhaldoun, F.; Elmahi, I.; Seaid, M

Authors

F. Benkhaldoun

I. Elmahi



Abstract

Pollutant transport by shallow water flows on non-flat topography is presented and numerically solved using a finite volume scheme. The method uses unstructured meshes, incorporates upwinded numerical fluxes and slope limiters to provide sharp resolution of steep bathymetric gradients that may form in the approximate solution. The scheme is non-oscillatory and possesses conservation property that conserves the pollutant mass during the transport process. Numerical results are presented for three test examples which demonstrate the accuracy and robustness of the scheme and its applicability in predicting pollutant transport by shallow water flows. In this paper, we also apply the developed scheme for a pollutant transport event in the Strait of Gibraltar. The scheme is efficient, robust and may be used for practical pollutant transport phenomena.

Citation

Benkhaldoun, F., Elmahi, I., & Seaid, M. (2007). Well-Balanced Finite Volume Schemes for Pollutant Transport by Shallow Water Equations on Unstructured Meshes. Journal of Computational Physics, 226(1), 180-203. https://doi.org/10.1016/j.jcp.2007.04.005

Journal Article Type Article
Publication Date Sep 1, 2007
Deposit Date Jan 18, 2008
Journal Journal of Computational Physics
Print ISSN 0021-9991
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 226
Issue 1
Pages 180-203
DOI https://doi.org/10.1016/j.jcp.2007.04.005
Keywords Shallow water equations, Pollutant transport, Finite volume method, Unstructured grids, Strait of Gibraltar.

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