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Article Dans Une Revue Journal of Computational Physics Année : 2007

Well-balanced finite volume schemes for pollutant transport on unstructured meshes

Résumé

Pollutant transport by shallow water flows on nonflat 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 in the strait of Gibraltar. The scheme is efficient, robust and may be used for practical pollutant transport phenomena.
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Dates et versions

hal-00114526 , version 1 (17-11-2006)
hal-00114526 , version 2 (17-11-2006)

Identifiants

Citer

Fayssal Benkhaldoun, Imad Elmahi, Mohamed Seaid. Well-balanced finite volume schemes for pollutant transport on unstructured meshes. Journal of Computational Physics, 2007, 226 (1), pp.180-203. ⟨10.1016/j.jcp.2007.04.005⟩. ⟨hal-00114526v2⟩
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